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Faculty details

Prof.Mritunjay Kumar Singh

Designation: Professor (HAG)

Department: Mathematics & Computing

Email: drmks29[at]iitism[dot]ac[dot]in

Contact Number: 9431125817

Office Number: +91-326-223-5488

Personal Page: Click Here

About Me: Prof. Singh did M. Sc. from BHU Varanasi in 1994 and stood First class first with Chancellor Medal, Dr. S C De Medal and BHU Medal. Prof. Singh did Ph. D. from BHU in 1999 on the topic "Concentration Distribution of pollutants Along Unsteady Groundwater Flow in Aquifer". Prof. Singh has published more than 100 research papers in esteemed journals/conferences/Book Chapters etc. and reviewed research papers of international repute like Water Resources Research (AGU), Journal of Hydrology, Advances in Water Research and Hydrological Science Journal (IAHS), Hydrology and Earth System Sciences, Journal of Engineering Mechanics, Journal of Hydrologic Engineering etc. Prof. Singh has also edited 5 books/conference proceedings. Prof. Singh has guided M. Sc., Integrated M. Tech., M. Phil, and Ph.D. students for completing their dissertations. Prof. Singh has more than Twenty years Teaching career in Applied Mathematics, Mathematics and Computing, and having research experiences in the field of Solute Transport Modeling. Prof. Singh has produced 21 PhD for his credit. Prof. Singh has received Major Research Projects grant from UGC, CSIR, DST(SERB), NPIU, MHRD, New Delhi. Prof. Singh has the life member/member of various professional bodies such as The Mathematical Society, BHU, Varanasi; Bharat Ganeet Parisad, Lucknow; Indian Mathematical Society, New Delhi; Indian Association of Hydrologists(IAH), NIH, Roorkee, Association of Hydrologists of India (AHI), Vishakhapatnam, International Association of Hydrogeologists (IAH), U.K.; International Association of Hydrological Sciences (IAHS), U.K., American Society of Civil Engineers (ASCE), Association of Global Groundwater Scientists (AGGS) etc. Prof. Singh has organized various conferences/workshops/Refresher Courses etc. and delivered Invited Talks in his areas of expertise. Prof Singh has also received Asian Education Award-2021 for the Best Mathematics Professor of the Year. Prof. Singh worked as Deputy Editor-in-Chief of Journal of Groundwater Research published by AGGS since its inception. Prof Singh has also received IMTR Research Award-2021 and AGGS Fellow Award-2022. Prof Singh has conferred Change Maker Award-Academia in 2025 by India Education Forum and India Employable Forum. Prof Singh is worked as a Meditation Ambassador for “Har Ghar Dhyan” programme of Ministry of Culture in collaboration with The Art of Living Foundation for Meditation and Mental Health of the people from all walks of life at IIT(ISM) Dhanbad. Prof Singh is a Nodal Officer, Monitoring and Outreach Implementation NEP-2020 Program, Dhanbad, Jharkhand for Four State Universities such as BBMKU Dhanbad, Nilamber Pitamber University, Palamu; Vinoba Bhave University, Hazaribagh; Sido Kanhu Murmu University, Dumka. Prof Singh is a Nodal Officer, STEM Teachers Training for PM Shri School in Jharkhand, Expert Committee Member of AICTE, New Delhi and Advisor/Subject Expert Member, UPSC, New Delhi.

Research Interest: Solute Transport Modelling/Groundwater Contamination Problems/Mathematical Modelling & Computation

Curriculum
Vitae
Publications

Teaching

 Courses Undertaken at UG/PG/PhD

  1. Mathematics-I & II
  2. Complex Analysis
  3. Integral Transform and Integral Equation
  4. Differential Equation
  5. Partial Differential Equation
  6. Computational Fluid Dynamics
  7. Hydrodynamics and Application to Groundwater
  8. Computer Programming (Fortran, C & C++)
  9. Operating Systems
  10. Numerical Methods
  11. Solute Transport Modelling
  12. Innovative Critical Thinking

Academics

Academic Degree

Branch/ Specialization

College/University

/Institute

Year

Percentage

/Grade

Class/ Division

Matriculation

Mathematics, Science

B.S.E.B., PATNA

1985

76%

I

I. Sc.

Mathematics, Science

B.I.E.C, PATNA

1987

63.4%

I

B.Sc. (Spl. Hons.)

Mathematics

MAGADH UNIVERSITY, BODH GAYA

1991

82.8%

I

M.Sc.

Mathematics

BHU, VARANASI

1994

92.3%

I

Ph.D.

Mathematics

BHU, VARANASI

1999

Awarded

B.Ed.

Mathematics

PATNA UNIVERSITY, PATNA

2001

71.2%

I

Position

Employer

Position held

Date of Joining

Date of Leaving

Bengal College of Engineering & Technology,

Durgapur

Lecturer

11th July,2002

30th June, 2005 (FN)

Indian Institute of Technology (ISM), Dhanbad

Sr. Lecturer

30thJune,2005 (AN)

26th Oct., 2006

Assistant Professor

27th Oct.,2006

26th Oct., 2009

Associate Professor

27th Oct.,2009

6th Nov., 2017

Professor

7th Nov., 2017

 25th Dec., 2023

Professor (HAG)

26th Dec.,2023

---

Warden

March1, 2006

 March31, 2013

Head (Centre for Societal Mission)

May5, 2017

Sept.2, 2018
  Associate Dean (Outreach) May21,2017 Sept2,2018

Dean (Students Welfare)

Sept3, 2018

Oct20, 2023

Dean (Academic)

Oct21, 2023

June30, 2026
Dean(Faculty) July1,2026 ...

Awards and Honors

Certificate of Merit:  (i) Chancellor Medal (ii) Dr. S C De Medal (iii)B.H.U. Medal for securing highest % of marks (92.3%) in M.A. / M. Sc. Exam., 1994 at B.H.U., Varanasi.

National Recognition:

  1. Nominated as a State Chief Education Advisor, Jharkhand by Yog Social Society (YSS), Lucknow on 30th July,2020.
  2. Conferred as a Best Mathematics Professor of the Year by Asian Education Award-2021 on 10th April,2021.
  3. Conferred Inder Mohan Thapar Research (IMTR) Award-2021 on 9th Dec.,2022, IIT(ISM) Dhanbad.
  4. Conferred Change Maker Award-Academia-2025 by the India Education Forum and India Employable Forum on 7th Nov.,2025 at Novotel Mumbai International Airport. 
  5. Meditation Ambassador for “Har Ghar Dhyan” programme of Ministry of Culture in collaboration with The Art of Living Foundation for Meditation and Mental Health of the people from all walks of life at IIT(ISM) Dhanbad. (28th Nov.,2022).
  6. Nodal Officer, Monitoring and Outreach Implementation NEP-2020 Program, Dhanbad, Jharkhand for Four State Universities such as BBMKU Dhanbad, Nilamber Pitamber University, Palamu; Vinoba Bhave University, Hazaribagh; Sido Kanhu Murmu University, Dumka
  7. Nodal Officer, STEM Teachers Training for PM Shri School in Jharkhand
  8. Expert Committee Member, AICTE, New Delhi
  9. Advisor/Subject Expert Member, UPSC, New Delhi.

International Recognition:

  1. Certificate of Outstanding contribution in reviewing for the recognition of the contribution made to the quality of journal i.e., Journal of Hydrology, Elsevier.
  2. Valuable contribution and outstanding performance as a Member of the Scientific Committee of the 3rd Conference of the Arabian Journal of Geosciences (CAJG), held online, on 2–5 November 2020.
  3. Valuable contribution and outstanding performance as a Member of the Scientific Committee of the Mediterranean Geosciences Union Annual Meeting (MedGU-21), held in Istanbul, Turkey, on 25–28 November 2021.
  4. Conferred AGGS-Fellow Award on 2nd Nov.,2022 during IGWC-2022 at IIT Roorkee.

Publications

Books Published

Book Published:

1. Singh P, Singh M K & Singh V P (28th Dec., 2010) Contaminant Transport in Unsteady Groundwater Flow: Analytical Solutions, LAP LAMBERT Academic Publishing, Germany

2. Singh M K Ed. (Dec.2012) Journal of Groundwater Research, Vol .1, No.1, pp1-51, AGGS alias IGWC, Coimbatore, India

3. Seth G S, Singh M K and Tiwari S P, Eds. (Feb., 2013) Proceedings of Recent Advances in Mathematics and its Applications Allied Publishers, New Delhi.

4. Phoolan Prasad and Singh M K, Eds (July 2016) Science Academy Refresher Course on Differential Equation and their Applications in Science and Engineering, pp1-68, Department of Applied Mathematics, ISM Dhanbad.

5. Singh M K, Kushvah B S, Seth GS and Prakash J Eds. (2017) Application of Fluid Dynamics, Lecture Notes in Mechanical Engineering, Springer, XV, 735, ISBN 978-

981-10-5329-0, DOI:10.1007/978-981-10-5329-0.

6.   Gupta, A K, Mohanty, S and Singh M K, Eds (July 2017) Science Academy Refresher Course on “Crustal strength Rheology and Seismicity” during May15-26,2017 at IIT(ISM) Dhanbad.

Book Chapters:

1.  Singh M K, Geo-mathematical modelling of groundwater contamination, Book chapter of Geostatistics for Natural Resources Modelling (BSWG), pp109-118, 2014. ISBN: 9789351566359.

2.   Singh M K and Kumari P, Contaminant concentration prediction along unsteady groundwater flow.  Book Chapter of Modelling and Simulation of Diffusive Processes, Series: Simulation Foundations, Methods and Applications, Springer, XII, pp257-276, 2014. ISBN 978-3-319-05656-2.

3.   Singh M K, Singh VP and Ahamad S, Transform techniques for solute transport in groundwater, Book Chapter, Groundwater Assessment, Modelling and Management, pp231-250, July2016 CRC Press, Taylor and Francis, ISBN 9781498742849.

4.  Begam, S, Singh, M K and Singh, V P, Two-dimensional solution of advection dispersion equation for solute transport in a semi-infinite aquifer, Book chapter of Groundwater, pp66-76, January 2017, Excellent Publishing House, New Delhi, ISBN: 978-93-86238-15-3

5.  Pandey A K and Singh MK, The advection-dispersion equation for various seepage velocity patterns in a heterogeneous medium. Computational Science and its Applications (CRC Press) 291p, Oct. 2020 (Book Chapter-19).

6.   Radha, S, Paul, T, Singh, R K, Mahato, N K and Singh, M K, Solution of pollutant dispersion in porous medium under linear sorption using finite element method, Book chapter 5 of Mathematical Modelling for Computer Applications, Sept.2024, Wiley, https://doi.org/10.1002/9781394248438.ch5

7. Chatterjee, D, Chatterjee, T, Singh, M K and Mondal, S, Solute transport through porous media: A time dependent approach, Book chapter 80 of Recent Advancement in Computational Intelligence and Design Engineering, Feb.,2025, CRC Press, https://doi.org/10.1201/9781003596745

List Of Research Publications (only in Peer-reviewed Journals)

List of Publications (OnlyQ1/Q2)

1.   Kumar N & Singh M K., Solute dispersion along unsteady groundwater flow in a semi-infinite aquifer, Hydrology & Earth System Sciences (HESS), Vol. 2(1), pp.  93-100, 1998.  Impact factor: 3.587 (SCI Index)Q1

2.   Singh M K, Singh V P, Singh P & Shukla D, Analytical solution for conservative solute transport in one dimensional homogeneous porous formations with time dependent velocity, J. Engineering Mechanics, ASCE, Vol.135, No.9, pp.1015-1021, Sept., 2009, DOI: 10.1061/(ASCE)EM.1943-7889.0000018. Impact factor: 1.116 (SCI Index) Q2

3.  Singh M K, Singh P & Singh V P, Analytical Solution for two-dimensional solute dispersion with time dependent source concentration in finite aquifer, J. Engineering Mechanics, (ASCE), Vol.136, No.10, pp.1309-1315, Oct.,   2010, DOI:   10.1061/(ASCE)EM.1943-7889.0000177. Impact factor: 1.116(SCI Index)Q2

4.   Jaiswal D K, Kumar A, Kumar N & Singh M K, Solute transport along temporally and spatially dependent flows through horizontal semi-infinite media: Dispersion being proportional to square of velocity, Journal of Hydrologic Engineering (ASCE), Vol.16  No.3, pp228-238, March   1, 2011, DOI:   10.1061/(ASCE)HE.1943-5584.0000312, Impact factor: 0.8(SCI Index) Q2

5.   Singh M K, Ahamad S & Singh V P, Analytical solution for one-dimensional solute dispersion with time-dependent source concentration along uniform groundwater flow in a homogeneous porous formations, J. Engineering Mechanics (ASCE), Vol.138 (8), pp.1045-1056, Aug., 2012, DOI: 10.1061/(ASCE)EM.1943-7889.0000384.Impact factor: 1.116 (SCI Index)Q2

6.  Singh M K and Das Pintu, Scale dependent solute dispersion with linear isotherm in heterogeneous medium. Journal of Hydrology (Elsevier), Vol. 520, pp289-299, Jan.,2015, DOI: 10.1016/j.jhydrol.2014.11.061, Impact Factor-3.05 (SCI Index) Q1

16. Singh M K, Das Pintu and Singh V P, Solute transport in a semi-infinite geological formation with variable porosity, J. Engineering Mechanics (ASCE), Vol.141(11), pp1-13, Nov 2015, DOI:10.1061/(ASCE)EM.1943-7889.0000948, Impact factor: 1.17 (SCI Index) Q2

7.   Singh M K and Chatterjee, Ayan, Solute dispersion in a semi-infinite aquifer with specified concentration along an arbitrary plane source, Journal of Hydrology (Elsevier), 541(Part B), pp928-934, Oct., 2016, DOI: 10.1016/j.jhydrol.2016.08.003, Impact Factor-3.05 (SCI Index) Q1

8.   Singh M K, Chatterjee, Ayan and Singh V P, Solution of one-dimensional time fractional advection-dispersion equation by homotopy analysis method, Journal of Engineering Mechanics (ASCE), Vol.143(9), Sept.,2017, pp1-16, DOI:10.1061/(ASCE)EM.1943-7889.0001318 Impact factor: 1.17 (SCI Index) Q2

9.   Singh M K and Das P, Response to "Comment on the paper Scale dependent solute dispersion with linear isotherm in heterogeneous medium (Journal of Hydrology 520 (2015) 289-299)". Journal of Hydrology (Elsevier), Vol.581, DOI: 10.1016/j.jhydrol.2018.06.071  2020, Impact Factor-3.48 (SCI Index)Q1

10. Banerjee A, Pasupuleti S, Singh M K, Dutta S C and Pradeep Kumar G N, Modelling of flow through porous media over the complete flow regime, Transport in Porous Media, (Springer), Vol 129(1), 1-23, Aug., 2019. DOI: 10.1007/s11242-019-01274-2 Impact Factor-1.99 (SCI Index) Q2

11. Singh M K, Singh R K and Pasupuleti S, Study of forward-backward solute dispersion profiles in semi-infinite groundwater system, Hydrological Sciences Journal (Taylor & Francis), Vol. 65(8), 1416-1429, April 2020, https://doi.org/10.1080/02626667.2020.1740706, Impact Factor-2.18 (SCI Index)Q1/Q2

12. Kumar B, Seth G S, Singh MK and Chamkha A J, Carbon nanotubes (CNTs)‑based flow between two spinning discs with porous medium, Cattaneo–Christov (non‑Fourier) model and convective thermal condition, Journal of Thermal Analysis and Calorimetry, July2020, DOI: 10.1007/s10973-020-09952-w, Impact Factor-2.731 (SCI Index)Q1

13. Thakur C K, Kumari P, Singh M K and Singh V P, Solute transport model equation for mobile phase in semi-infinite porous media, Groundwater for Sustainable Development (Elsevier), Vol. 11, 1-8, Aug. 2020, DOI: 10.1016/j.gsd.2020.100411 Impact Factor-1.07  (JCI Q1)

14. Pandey A K, Singh, MK and Pasupuleti S, Solution of a 1-D space fractional advection-dispersion equation with non-linear source in a heterogeneous medium, Journal of Engineering Mechanics (ASCE), Vol.146 (12), 1-13, Sept. 2020, DOI:10.1061/(ASCE)EM.1943-7889.0001870, Impact factor: 2.03 (SCI Index)Q2

  15. Chaudhary M and Singh, M K, Study of multispecies convection-dispersion transport equation with variable parameters. Journal of Hydrology (Elsevier), Vol. 591, 1-14, Sept. 2020, DOI:10.1016/j.jhydrol.2020.125562  Impact Factor-4.5 (SCI Index)Q1

  16. Chaudhary M, Kumar R and Singh M K, Fractional convection-dispersion equation with conformable derivative approach. Chaos Solitons & Fractals (Elsevier),  Vol.141, 1-15 Dec. 2020) DOI:10.1016/j.chaos.2020.110426, Impact Factor-3.764 (SCI Index)Q1

17. Rajput S and Singh M K, Off-diagonal dispersion effect with pollutant migration in groundwater system, Journal of Engineering Mechanics (ASCE), Vol.147(12):04021114, 1-14, Oct. 2021, DOI:10.1061/(ASCE)EM.1943-7889.0002009, Impact factor: 2.03 (SCI Index)Q2

18. Chaudhary M and Singh M K, Anomalous transport for multispecies reactive system with first order decay: time-fractional model, Physica Scripta  (IoP), Vol.97, No.7 July 2022, DOI: https://doi.org/10.1088/1402-4896/ac71e0 Impact Factor-2.487 (SCI Index)Q2

19.  Sinha, V K, Nandkeolyar, Singh, M K, Numerical simulation and regression analysis of MHD dissipative and radiative flow of a casson nanofluid with Hall effects, Waves in Random and Complex Media, Jan 2023, DOI: https://doi.org/10.1080/17455030.2023.2168788, Impact Factor-4.051 (SCI Index) Q2/(JCIQ1)

20. Radha R, and Singh M K, Axial groundwater contaminant dispersion modelling for a finite heterogeneous porous medium, Water, Vol. 15(14), 2676; July 2023, DoI:Ohttps://doi.org/10.3390/w15142676  Impact Factor-3.4 (SCIE)Q2

21. Samanta, A, Chatterjee, A, and Singh M K, A Study on the coexistence of anthropogenic and natural sources in a three-dimensional aquifer, Water Jan. 2024, 16(1), 177; DoI: https://doi.org/10.3390/w16010177  Impact Factor-3.4 (SCIE)Q2

22. Chatterjee T, Gogoi, U R, Samanta, A, Chatterjee, A, Singh M K, and Pasupuleti, S, Finding the most discriminative parameter for water quality prediction using machine learning algorithms, Water Jan. 2024, 16(3), 481; DoI: https://doi.org/10.3390/w16030481  Impact Factor-3.4 (SCIE)Q2

23. Singh M K and Bharti, P, Linear and Nonlinear Stability Analysis of Double-Diffusion Convection in an Inclined Brinkman Porous Media with a Concentration-Based Internal Heat Source, Physics of Fluids (AIP), Dec.,2024, Vol. 36 (12), DoI: 10.1063/5.0241397  Impact factor: 4.1 (SCI Index)Q1

24. Shrivastava, S, Banerjee, A, Singh, A, Singh, M K, and Pasupuleti, S, Copula-based dependency modelling of hydraulic properties for non-linear filtration through porous media, Powder Technology (Elsevier), April25, 2025, Vol. 460, 121069, https://doi.org/10.1016/j.powtec.2025.121069 Impact factor: 4.5 (SCIE) Q2

25. Bharti, P, Kumar, M, Singh, M K and Chaudhary, M, Analytical study of multi-layer one-dimensional spatially dependent solute transport modelling, Environmental Fluid Mechanics 25, 45 (2025). https://doi.org/10.1007/s10652-025-10058-w)-2025. Impact factor: 2.1 (SCIE) Q2

Papers in conference abstract volumes / presented

International Conference

1.   Singh M K & Singh Gurdeep, Trace elements concentration levels from ash pond in semi-infinite   aquifer, Proceedings   of   International   conference   on   Water, Environment, Energy and Society (WEES), NASC Complex, New Delhi, Vol. III, pp 1105-1109,12-16 Jan., 2009

2. Singh M K, Mahato N K& Ahamad S Solute transport model with transient groundwater flow in homogeneous semi-infinite aquifer: Analytical solution, Proceedings of International Seminar on Recent Advances in Geosciences, ISM, Dhanbad, 11-13 Jan., 2011, pp285-289.

3.   Singh M K, Mahato N K, Ahamad S, Singh, V P & Dragoni, W, Longitudinal dispersion along transient groundwater flow in a finite aquifer, Proceedings of IGWC-2011, Groundwater Research Series 4, Vol.  1, pp400-417.  Sept., 25-29, Madurai.

4. Singh M K and Mahato N K, Analytical modeling of solute transport in homogeneous porous media with Cauchy type boundary condition, International Conference of RAIT-March15-17, 2012, IEEE Explore, pp903-908. DOI:10.1109/RAIT.2012.6194587 (Scopus Index)

5.  Singh M K, Mahato N K and Singh V P, Analytical approach to solute dispersion along and against transient groundwater flow in a homogeneous finite aquifer: pulse type boundary conditions, Proceeding of International Conference Earth Space-April, 15-18, 2012, ASCE, Pasadena, California, pp796-808 DOI:10.1061/9780784412190.086 (SCI Index)

6. Singh M K and Mahato N K, Two-dimensional solute transports for temporally dependent source concentration in semi-infinite Aquifer International Conference of ICMSDPA –Oct. 08-12, 2012, IEEE Explore, pp39-41.

7.   Singh M K and Kumari P, A comparative study of advection-dispersion equation in one-dimensional semi-infinite aquifer International Conference of ICMSDPA –Oct.08-12, 2012, IEEE Explore, pp143-148.

8.   Singh M K and Ahamad S, One-dimensional non-reactive solute transport in a semi- infinite aquifer subject to a temporally dependent dispersion with temporally dependent input concentration International Conference of ICMSDPA-Oct. 08-12,2012, IEEE Explore, pp80-84.

9.  Singh M K and Kumari P, One-dimensional solute dispersion with time dependent source concentration along transient flow: An analytical/numerical approach. Groundwater Research Series 5(IV) IGWC-2012, Dec.18-21, pp351-361.

10. Mahato N K, Singh M K and Begam S, Temporally dependent solute dispersion with Cauchy type boundary condition in homogeneous semi-infinite aquifer, Proceedings of International Conference of ICMSDPA, Oct. 29-31, 2014, pp33-39.

11. Begam S.  and Singh M K, Two-dimensional solute transport modeling with transient groundwater flow, Proceedings of International Conference of ICMSDPA, Oct. 29-31, 2014, pp43-47.

12. Das P and Singh M K, Two-dimensional solute dispersion with linear isotherm along unsteady groundwater flow in semi-infinite aquifer, Proceedings of International Conference of ICMSDPA, Oct. 29-31, 2014, pp60-67.

13. Singh M K, Das P and Singh V P, Two-dimensional solute transport with varying velocity field, Jan7-9, Paper ID-25, EMI-2015, HongKong.

14. Singh, R K, Mahato, N K, Das, P and Singh, M K, Solute dispersion along and against the groundwater flow in two-dimensional finite aquifer, AIP Conference Proceeding, 2072(1), Feb.,2019, DOI:10.1063/1.5090250.

National Conference/Workshop

1.   Singh M K, Singh P & Mahato N K, Solute transport model with time dependent source concentration in aquifer, Proceedings of National Seminar on Modern Trends in Geophysical Sciences and Techniques, ISMU, Dhanbad, 12-14 Nov., pp 215-218,2007

2.   Singh M K, Kumar R, Singh P & Singh Gurdeep, Distribution of trace elements concentration levels from ash ponds, Proceedings of National Seminar on Recent Advances in Information Technology (RAIT-2009), ISMU, pp441-447, 6-7 Feb., 2009.

3.   Singh M K & Kumari P Analytical Solution of Contaminant Transport in Two-dimensional Homogeneous Semi-infinite Aquifer, Proceedings of National Conference on Sustainable Development of Groundwater Resources in Industrial Regions (SDGRIR), ISM, Dhanbad, pp4-10, 22-23 March, 2012.

4.   Mahato N K and Singh M K, Comparative study of  2-D  solute  transport  with temporally   dependent   source   concentration   in   homogeneous   porous   media, Proceeding of Recent Advances in Mathematics and its Applications (RAMA), pp122-132, 14-16Feb., 2013.

5.   Ahamad S and Singh M K, Solute Transport Model Subject to temporally dependent dispersion with temporally dependent input concentration in semi- infinite aquifer, Proceeding of Recent Advances in Mathematics and its Applications (RAMA), pp376-382, 14-16Feb., 2013.

6.   Kumari P and Singh M K, Solute transport modeling in homogeneous aquifer with moving boundary condition, Proceeding of Recent Advances in Mathematics and its Applications (RAMA), pp334-345, 14-16Feb., 2013.

7.   Singh M K, Das P and Prasad U, Solute transport modeling in adsorbing porous medium with unsteady flow velocity, Proceeding of Recent Advances in Mathematics and its Applications (RAMA), pp43-50, 14-16Feb., 2013.

8.  Singh M K, Geo-mathematical modeling of Groundwater contamination, Book chapter of Geostatistics for Natural Resources Modeling (BSWG), pp109-118,28 Feb., 2014. ISBN: 9789351566359.

Projects & Activities

Sponsored Research Projects (External Funded)

Completed/Ongoing/Applied:

1. Minor Research Project [ISM/Acad/MRP/2006 dated 26th June, 2006] -PI

Funding Agency: Indian School of Mines, Dhanbad

Title of the Project: "Mathematical Modelling of Concentration Distribution

Behaviour of Pollutants in Aquifer"

Duration of the project: 03 years (June, 2006-2009) Status: Completed

Project value: 0.5 Lakhs

2.   Major Research Project [F. No.37-205/2009(SR) dated 12th January, 2010] -PI

  Funding Agency: University Grant Commission, New Delhi

Title of the Project: "Study of Analytical Approach of Unsteady Groundwater Flow Modelling"

Duration of the project: 03 years (Feb., 2010 - 2013)

Status: Completed

Project value: 8.67 Lakhs

3.   Major Research Project [25(0251)/16/EMR-II dated 20th May, 2016] -PI

  Funding Agency: Council of Scientific and Industrial Research, New Delhi Title of   the   Project: “Mathematical Study of Solute Transport in Porous Formations”

Duration of the project: 03 years (June, 2016 -2019)

Status: Completed

Project value: 16.79 Lakhs

4.   Major Research Project [Ref No. EMR/2016/001628 dated 30th January, 2017]-PI

Funding Agency: Science and Engineering Research Board, DST, New Delhi Title of the Project: “Study of Non-Linear Advection Dispersion Equation and Their Applications”

Duration of the project: 03 years (February, 2017 - 2020) Status: Completed

Project value: 23.45 Lakhs

5.   Major Research Project [Ref No. CIL(4)/2015-2016/461/Mining Engg]-Co-PI

  Funding Agency: Coal India limited

Title of the Project: “Development of guideline for prevention and mitigation of explosion hazard by risk assessment and determination of explosibility of Indian

Coal incorporating risk-based mine emergency evacuation and re-entry protocol”

Duration of the project: 03 years

Project value: 31.00 Lakhs (Total Project Value: 833.57 Lakhs)

6.   UBA Project [Ref. No. UBA/2018-2019/567/AM] -PI

  Funding Agency: MHRD, New Delhi

Title of the Project: “Unnat Bharat Abhiyan Programme at IIT(ISM) Dhanbad”

Duration of the project: one year from Sept. 2017 onwards

Status: Completed

Project value: 1.75 Lakhs

7.  TEQIP Collaborative Research Project

[Ref. No.: 1-3643335191 1-5748515018 Dated 18th June,2019]- Co-PI

Funding Agency: National Project Implementation Unit, MHRD, New Delhi

Title of the Project: “Mathematical Study of Non-reactive Solute Transport in Multilayer Porous Media”

Duration of the project: 01 year

Status: Completed

Project value: 8.06 Lakhs

8.  Teachers Associateship for Research Excellence (TARE) (Host Institute) [Reference No.: TAR/2022/000472]

 Funding Agency: SERB(DST), New Delhi

 Title of   the   Project: “Investigation of the impact of pore geometry on the non-linear filtration characteristics in porous media”

 Duration of the project: 03 years (2024-2027)

 Status: Sanctioned/Ongoing

 Project value:15 Lakhs (50% of sanctioned grant will be received at IIT(ISM) as a Host Institute)

9. International Project under Indo Norwegian Cooperation Programme 2024(INCP2)-Co-PI [Reference No.:F58-8/2024]

 Funding Agency: University Grant Commission, New Delhi

 Title of   the   Project: “Bioscopy-Towards modern transdisciplinary education and research in microscopy”

 Duration of the project: 03 years (2025-2027)

 Status: Sanctioned/Ongoing

 Project value:114.66 Lakhs

Consultancy Project

Training Programme/Workshop/Courses Conducted:

Under Graduate Training Programme on “Linear Algebra and Real Analysis” funded by DST was organized as a Co-coordinator during 28th May, 2012 -

6thJune, 2012 at Indian School of Mines, Dhanbad

Science   Academy’s   Lecture   Workshop   conducted   as   Coordinator   on “Concept of Fluid Dynamics and its Applications” during October8-10, 2014 at ISM Dhanbad

Workshop conducted jointly with C-DAC Pune, as Convener on “High Performance Computing”, July29-31, 2015 at ISM Dhanbad.

Science Academy’s Lecture Workshop conducted as Coordinator on “Fluid Flow through Porous Media and its Applications” during December25-27, 2015 at ISM Dhanbad

Science Academy’s Refresher Course conducted as Coordinator on “Differential Equations and their Applications in Science and Engineering” during July4-16, 2016 at ISM Dhanbad

Short Term Training Programme conducted as Coordinator on “Groundwater Contamination and Modelling Approaches” during December18-20, 2016 at IIT(ISM) Dhanbad.

Science Academy’s Refresher Course conducted as Coordinator on “Crustal strength Rheology and Seismicity” during May15-26, 2017 at IIT(ISM) Dhanbad.

Science Academy’s Refresher Course conducted as Coordinator on “Concept of Fluid Dynamics and Applications” during June25-July6, 2018 at IIT(ISM) Dhanbad.

Online Workshop conducted as Coordinator (DSW) on “Student Excellence Learning Program (SELP)” under TEQIP-III during Jan4-9, 2021 at IIT(ISM) Dhanbad.

AICTE Training and Learning (ATAL) Academy Faculty Development Programme (FDP) conducted as Coordinator on the topic “Leadership Excellence through Yoga and Meditation” during Jan10-21,2023 at IIT(ISM) Dhanbad.

Workshop conducted as a Coordinator on the topic “Vedic Mathematics” on July 10, 2023 at IIT(ISM) Dhanbad.

Membership of Scientific Societies

Life Member:  Mathematical Society, B.H.U., Varanasi

Bhaskaracharya Educational Society, Patna

Bharat Ganit Parisad, Lucknow

Indian Mathematical Society, New Delhi

Indian Association of Hydrologists (IAH), NIH Roorkee

BHU Alumni Association, Dhanbad Chapter

Association of Hydrologists of India (AHI), Andhra University, Waltair

Society of Applied Mathematics (SAM), IIT(ISM), Dhanbad

Indian Red Cross Society, Dhanbad

Association of Global Groundwater Scientists (AGGS), Coimbatore

Indian Geological Congress (IGC), Roorkee

 Member:      

American Society of Civil Engineers (ASCE)-EWRI-EMI, USA.

International Association of Hydrological Sciences (IAHS), U.K.

 Fellow:          

Association of Groundwater Scientists (AGGS)

Other Academic and Administrative Activities

National Conference Organized:

Convener, Recent Advances in Mathematics and its Applications (RAMA), Feb.14-16, 2013 at ISM, Dhanbad.

Joint Organizing Secretary, Indian Mathematical Society-2014, Dec.27-30,2014 at ISM Dhanbad.

Convener, Industry   Institute   Interaction (III), Adaptive   Technologies   for Sustainable Growth, Feb. 3, 2018 at IIT(ISM), Dhanbad.

Co-convener, Industry Institute Interaction: Make an India Initiative

International Conference Organized:

Member, Organizing Committee and Programme Committee, International Conference on Modelling and Simulation of Diffusive Processes and Applications (ICMSDPA), October 09-12, 2012, BHU, Varanasi.

Regional Coordinator, International Groundwater Congress (IGWC) - Dec.17-21, 2012

Member, Organizing Committee and Programme Committee, International Conference on Modelling and Simulation of Diffusive Processes and Applications (ICMSDPA), October 29-31, 2014, BHU, Varanasi.

Regional Coordinator, International Groundwater Congress (IGWC) – Feb.17-21, 2015

Organizing Secretary, 3rd   International Conference on Applications of Fluid Dynamics (ICAFD), Dec.19-21, 2016 in association with Fluid Mechanics Group, University of Botswana, Botswana.

Coordinator, Symposium on Solute Transport in Surface/Subsurface Water Bodies: A Modelling Approach, (Parallel Event of ICAFD-2016).

Coordinator, Webinar on Groundwater Contamination and Modelling Approaches (GCMA-2021), 23rd Dec.,2021 in association with AGGS, India at IIT(ISM) Dhanbad

Visited Abroad:

  1. International   Conference   on   Erath   and   Space-2012   at   Pasadena, California, USA during 15-18, April, 2012.  Visited NASA JPL at California Institute of Technology, California.
  2. International Conference EMI-2015-HK at the PolyTech University Hong Kong, China during January7-9, 2015.

Invited Talk:

  1. Delivered on the topic “Analytical approach of unsteady groundwater flow modelling” during the 2nd National Conference on Recent Advances on Solid State Materials and Devices organized by Sanjay Institute of Engineering & Management Sept. 6-7, 2008, Mathura (U.P.).
  2. Delivered on the topic “Analytical approach of solute transport modelling in homogeneous porous formation” during the 2nd National Symposium on Differential Geometry and Mathematical Modelling on Bio-Sciences organized by Department of Mathematics and Astronomy, Lucknow University, Lucknow under UGC-SAP Programme, Jan. 9-10, 2010, Lucknow (U.P.).
  3. Delivered on the topic “One-dimensional homogeneous semi-infinite aquifer along unsteady groundwater flow with variable porosity” during International Conference on Mathematical Modelling and Numerical Simulation organized by Department of Applied Mathematics, BBAU (A Central University), Lucknow, July 1-3, 2013, Lucknow (U.P.).
  4. Delivered on the topic “Geo-mathematical modelling of groundwater contamination” Brain Storming Workshop on Geostatistics for Natural Resources Modelling (BSWG), February, 28, 2014, ISM Dhanbad
  5. Delivered on the topic “Advective-dispersive equation and application to hydrological sciences” in Short Term Training Programme (STTP), March10, 2014, NIT Raipur.
  6. Delivered   on   the   topic “One-dimensional   analytical   model   with   variable coefficients   in   semi-infinite   aquifer”, in   2nd     International   Conference   on Applications of Fluid Dynamics (ICAFD2014), July 21-23, 2014 at SVU in TIRUPATI, INDIA
  7. Delivered on the topic “Solute transport model in homogeneous and anisotropic porous media”, in 2nd   International Conference on Modelling and Simulation of Diffusive Processes and Applications (ICMSDPA), October29-31, 2014, BHU Varanasi.
  8. Delivered on the topic “Scale dependent solute dispersion in aquifer systems”, 32nd and 33rd AHI Annual Convention and National Seminar on Water Resources with a Colloquium on Interlinking Rivers, July10-11, 2015, Andhra University, Vishakhapatnam.
  9. Delivered on the topic “Groundwater contamination and its mathematical approaches”, during 3 days Training Programme on Design and Implementation of Rainwater Harvesting System for Augmentation of Rural Water Supply, January21-23, 2016, ISM Dhanbad.
  10. Delivered on the topics i) “Strum Liouville Problems” and ii) “Classification and reduction of second order equations to canonical form” in Science Academy’s Refresher Course on Differential Equations and their Applications in Science and Engineering (DEASE-2016), July4-16, 2016 at ISM Dhanbad.
  11. Delivered on the topic “Basics of FORTRAN Programming Language and Applications” in Training Programme on Dynamical Systems: Theory and Applications (DSTA-2017) during May8-12, 2017 at IIT(ISM) Dhanbad.
  12. Delivered on the topics i) “Geological formations and their characteristics” and ii) “Mathematical Modelling Approaches” in Science Academy’s Refresher Course on Crustal Strength Rheology and Seismicity (CSRS-2017) during May15-26, 2017 at IIT(ISM) Dhanbad.
  13. Delivered on the topics i) “Academy Activities-SEP: How Science is Progressing in India?”, ii) “Fluid Flow through Porous Media iii) Mathematical Modelling Approaches” iv) Groundwater Contamination through Point / Non-point Source in Aquifer v) “Basics of FORTRAN Programming Language and Applications” in Science Academy’s Refresher Course on Concept of Fluid dynamics and Application (CFDA-2018) during June25-July6, 2018 at IIT(ISM) Dhanbad.
  14. Delivered on the topic “Mathematical modelling of Groundwater contamination” in a Short Program entitled “Groundwater Resource Management in Industrial Areas in Mines” during August8-10, 2018 at IIT (ISM), Dhanbad.
  15. Delivered on the topic “FORTRAN Programming Language and Applications” Training Programme on Dynamical Systems:  Theory and Applications (DSTA2018) during September4-8, 2018 at IIT(ISM) Dhanbad.
  16. Delivered   on   the   topic “Mathematical   Modelling   of   Solute   Transport   in Groundwater with Point and Non-point Sources of Contamination” in the National Conference “Recent Advances in Mathematics and Scientific Computing” during September 18‐19, 2018 at Magadh University, Bodh Gaya.
  17. Delivered on the topic “Solute Transport Modelling in Porous Formation” in a workshop    on “Numerical    and    Computational    Methods    for    Fluid    Solid Interaction Problems" during Sept 27 -28, 2018 at IIT (ISM), Dhanbad.
  18. Delivered on the topic “Mathematical Modelling of Contaminant Transport” in a Lecture Series on “Modelling natural processes and resources” during Nov.2, 2018 at School of Science, Adamas University, Kolkata, West Bengal.
  19. Delivered on the topic “Generalized dispersion theory in solute transport model by homotopy analysis method” in 8th International Groundwater Conference (IGWC-2019), Oct21-24,2019, Department of Hydrology, IIT Roorkee (Key Note Speaker)
  20. Delivered on the topic “Career Scope in Mathematics, Statistics and Data Science” in a Webinar Series on May17, 2020 at School of Science, Adamas University, Kolkata, West Bengal.
  21. Delivered on the topic “Mathematical Modelling and Applications with Special emphasis to How Mathematics is Progressing in India” in a National Webinar Series on May26, 2020 at T.N.B. College, Tilka Manjhi Bhagalpur University, Bhagalpur, Bihar.
  22. Delivered on the topic “Mathematical Approach of Solute Transport Modelling” in an International Webinar Series on June27, 2020 at KIET, Ghaziabad, U.P.
  23. Delivered on the topic “Mathematics-III (Laplace Transformation and its Applications)” in Webinar TEQIP-III Special Classes during September28- October3, 2020 at Chaibasa Engineering College, Chaibasa, Jharkhand.
  24. Delivered on the topic “Mathematical Sciences: Challenges, Applications & Future Directions in India” in a National Webinar Series on Nov.27, 2020 at Atma Ram Sanatan Dharma College (ARSD College), University of Delhi, New Delhi.
  25. Delivered on the topic “Mathematical Modelling and Applications with Specific Reference to Groundwater Contamination” in an Online Workshop on Differential Equations: Theory, Analysis and Applications with MATLAB (DEETAAM-2021) during July12-16,2021 at School of Physical Sciences, DIT University Dehradun.
  26. Delivered on the topic “Mathematical Modelling and Applications” in a webinar on Frontier in Mathematics on February12, 2022 at School of Sciences, SR University, Telangana.
  27. Delivered on the topic “Trigonometric Identities, Graphs and Trigonometrical Equations” in an Instructional School for Mathematical Foundation (ISMF)-2022 during Oct8-23,2022 at IIT Patna.
  28. Delivered on the topic “Multispecies Convection-Dispersion Transport (CDT) Modelling” in an International Groundwater Conference (IGWC)-2022 during Nov.2-4,2022 at IIT Roorkee and also Chaired one of the Technical Sessions along with Prof Vijay P. Singh, Texas A & M University, USA.
  29. Delivered on the topic “Convection-Dispersion Transport (CDT) Modelling” in Online Refresher Course on Nov.9, 2022 at Department of Mathematics, University of Allahabad, U.P.
  30. Delivered on the topic “Fundamental Concept of PDE and Its Application to Solute Transport Modelling” in STUTI Programme of DST during March14-20, 2023 organized by Department of Mathematics and Computing, IIT(ISM) Dhanbad exclusively for Women from Jharkhand.
  31. Delivered on the topic “Concept of Functions” in an Instructional School for Mathematical Foundation (ISMF)-2022 during June19-20,2023 at IIT Patna.
  32. Delivered on the topic “Convection-Dispersion Transport Modelling” on June28, 2023 at Department of Mathematics, Mizoram University, Aizawl.
  33. Delivered on the Topic “Role of Jharkhand in Glorifying India in Special Reference to Agriculture and Allied Sector” on Aug.28,2023 at Birsa Agricultural University, Ranchi
  34. Delivered on the topic “Fundamental of PDE and Application to Solute Transport Modelling” on Oct.9, 2023 organized by Department of Mathematics, IIT Ropar.
  35. Delivered on the topic “Mathematical Modelling of Solute Transport: A Semi-analytical Approach” in a Workshop on Advances in Fluid Solid Interactions using AI/ML with special reference to numerical weather prediction and smart farming using IoT during February12-16, 2024 organized by Department of Mathematics and Computing, IIT(ISM) Dhanbad.
  36. Delivered on the topic “Personal Leadership Style and Traits with Special Reference to Academia” in Nurturing Future Leadership Programme during March18-22, 2024 organized under aegis of Malviya Mission Teacher Training Programme (MMTTP) IIT (ISM) Dhanbad.
  37. Delivered on the topic “Contaminant Transport Modelling for Aquifer” in Two Week Refresher Course on ‘Recent Advancements in Mathematics, Statistics and Computer Science during Oct14-26, 2024 organized under aegis of Malviya Mission Teacher Training Programme (MMTTP) Central University of South Bihar (CUSB), Gaya (Online).
  38. Delivered on the topic “Personal Leadership Style and Traits with Stress or without Stress” in Nurturing Future Leadership Programme during Oct21-26, 2024 organized under aegis of Malviya Mission Teacher Training Programme (MMTTP) IIT (ISM) Dhanbad.
  39. Delivered on the topic “Mathematical Modelling of Solute Transport: A Semi-analytical Approach” in a National Conference on Advances in Fluid Solid Interactions using AI/ML with special reference to numerical weather prediction and smart farming using IoT during February12-16, 2024 organized by Department of Applied Geophysics, IIT(ISM) Dhanbad.
  40. Delivered on the topic “Contaminant Transport Modelling: A Mathematical Approach” in a National Seminar on WaterNexus-2025during May16-17, 2025 organized by Department of Civil Engineering, IIT(ISM) Dhanbad.
  41. Delivered on the topic “Way Forward for Implementation and Execution of NEP-2020” in an ATAL FDP-2025on August20,2025 organized by Department of Mechanical Engineering, BIT Sindri.
  42. Delivered on the topic “Digital Bharat @ Viksit Bharat-2047” in an International Conference on Advances in Computer Science, Engineering & Technology (ICACSET 2025) on 3rd December 2025 at Amity University Jharkhand, Ranchi.
  43. Delivered on the topic “NEP-2020: State Level Reforms & Implementation Strategies” in Shiksha Samvad-2026on 17th February,2026 organized by Department of Higher Education, Govt. of Chhattisgarh, Raipur.
  44. Delivered on the topic “Multispecies Advection-Dispersion Transport Modelling” in a National Conference on Recent Developments in Mathematics and Statistics on February 27, 2026 organized by Department of Mathematics and Statistics, CUJ Jharkhand.
  45. Delivered on the topic “AI Strategic Implementation and Computation for Viksit Bharat-2047”in 4th International Conference on Engineering Design and Computing on 28th February,2026 at Swami Vivekananda University, Kolkata.
  46. Delivered on the topics i)“Regulatory Framework, Academic Governance and Ranking" and ii) "Institutional Ecosystem: Universities, Research Institutes and Industry Linkages" on 3rd July,2026 in the GuruDakshta (Faculty Induction Programme) during July3-29, 2026 organized under aegis of Malviya Mission Teacher Training Programme (MMTTP) IIT (ISM) Dhanbad.

Guidance

Sl. No

Name

Topic of Research

Joined/ Awarded

Remarks

1

Premlata Singh

(1809/2007)

Transport Analysis of Contaminants through Unsteady Groundwater Flow in Aquifer

2007/2010

Sole Guided

2

Nav Kumar Mahato

(2009DR0109)

Study of Solute Transport Modeling along Unsteady Groundwater Flow in Aquifer 

2009/2013

Sole Guided

3

Shafique Ahamad

(2010DR0008)

Study    of    Some    Problems    on Analytical   Approach   of   Unsteady Groundwater Flow in Aquifer

2010/2013

Sole Guided

4

Priyanka Kumari

(2010 DR0026)

Study of Analytical and Numerical Approach     of     Solute     Transport Modeling

2010/2013

Sole Guided

5

Pintu Das

(2012DR0101)

Solute   Dispersion   with   Unsteady Groundwater      flow      in      Porous Formation

2012/2016

Sole Guided

6

Sultana Begam

(2013DR0003)

Study of Contaminant Concentration Distribution through Unsteady Groundwater Flow in Porous Formation

2013/2017

Sole Guided

7

Ayan Chatterjee

(2013DR0182)

Mathematical   Modeling   of   Solute Transport in Porous Media

2013/2018

Sole Guided

8

Affreen Akhter

(2014DR0278)

Study of Hydrodynamic Dispersion through Porous Media

2014/2020

Sole Guided

9

Rajan Kumar

(2015DR0119)

Mathematical Modelling of Flow Formation in Magnetohydrodynamics

2015/2020

Guide

10

Bhuvaneshvar Kumar (16DR000251)

Mathematical Modelling and Analysis of Newtonian and Non-Newtonian Fluid Flow with Heat and Mass Transfer

2016/2021

Guide

11

Rakesh Kumar Singh

(2015DR0005)

Modeling and Analysis of Solute Transport Problems in Porous Medium

2015/2021

Sole Guided

12

Arnab Bhattacharyya (2015DR0208)

Mathematical Modelling and Analysis of Hydrodymagnetic Flow with Heat and Mass Transfer

2015/2021

Guide

13

Chandan Kumar Thakur (2014DR0008)

Study of Contaminant Concentration Prediction in Aquifer

2014/2021

Sole Guided

14

Amit Kumar Pandey

(2015DR1039)

Mathematical Study of Solute Transport through Porous Media

2015/2022

Sole Guided

15

Manish Chaudhary

(16DR000174)

Mathematical Study of Pollutant Transport Behaviour in Geological Formations

2016/2022

Sole Guided

16

Rohit Kumar

(2015DR0094)

Modelling of Solute Dispersion through Porous Media: An Analytical Study

2015/2022

Sole Guided

17

Vivek Kumar Sinha

(16DR000265)

Mathematical Modelling of Non-Newtonian Fluid Flows in Magnetohydrodynamics Regime

2016/2022

Guide

18

Sohini Rajput

(17DR000438)

Mathematical Study of Groundwater Contamination Problem in Aquifer

2017/2022

Sole Guided

19

Rashmi Radha

(19DR0180)

Study of Advection Dispersion Transport Modelling in Porous Media

2019/2024

Sole Guided

20

Animesh Samanta

(2015DR0223)

Mathematical Study of Contaminant Concentration Distribution in Porous Formation

2015/ 2024

Sole Guided

21

Kundan Kumar

(17DP000172)

 Comparative Investigation and Design of Wireless Signal and Power Transfer

2016/2025

Co-Guide

22

Tapan Chatterjee

(17DR000562)

Mathematical Modeling of Transport Phenomenon in Porous Medium

2017/2025

Sole Guided

23

Pallawi Bharti

(21DR0124)

Mathematical Modelling of Solute Dispersion in Fracture Porous Media

2021/Ongoing

Sole Guided

24

Manish Kumar

(22DR0303)

Solute Transport Modelling

2022/Ongoing

Sole Guided
25

Chinmoyy Roy Laskar

(23DR0046)

 Contaminant Transport Modelling

2023/Ongoing

Sole Guided

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