Hydrodynamics Dispersionm/Groundwater Modelling, Fluid Mechanics

Research Papers Published/Accepted

1. A. K. Tiwari, Premlata Singh and Dilip Kumar Jaiswal “Nanofluid on Transient Natural Convection in a Vertical Porous Stratum” Vol. 17 No. 1, PP 193-203 (2026): Mathematics in Engineering, Science and Aerospace (MESA) ELSEVIER, Scopus, Q3, IF 0.269. https://nonlinearstudies.com/index.php/mesa/issue/view/232
2. Bandana Mahto, Premlata Singh, Baboo Rai, Long-term Spatiotemporal assessment of groundwater quality in Patna district, Bihar using wa-wqi and trend analysis” “Environmental Engineering and Management Journal” Scopus(Accepted).
3. Bandana Mahto, Premlata Singh and Baboo Rai Evaluation of drinking water quality and its influence on residents' health at BIT Mesra, Patna campus, Bihar, Vol 6(13) PP 5957-5971; , African journal of Biological Science, Scopus(ELSEVIER)
4. Bandana Mahto, Premlata Singh, and Baboo Rai “Assessment of groundwater quality in Patna district, Bihar, India, using the Water Quality Index method (Canadian Council of Ministers of the Environment method), Asian journal of water, Environment and Pollution, Q4, (AJWEP) 2025, 22(1), 134–148; https://doi.org/10.36922/ajwep.8142, ESCI(Scopus) IF (WoS-0.7)(Scopus-1.2),  ISSN: 1875-8568.
5. Bandana Mahto, Premlata Singh and Baboo Rai “A Spatial trend analysis of groundwater quality of Patna district, Bihar, India. (2025). Nonlinear Studies, 32(1), 367-390, Q4,(Scopus). https://www.nonlinearstudies.com/index.php/nonlinear/issue/view/221
6. Premlata Singh, Gulrana, Arun Dubey and Dilip Kumar Jaiswal 'Solute transport with decay type input source in one dimensional Heterogeneous medium: Analytical solution' VOl. 19(1) PP 40-51 (2025), Int. J. of Hydrology Science and Technology, Inder Science. (SCOPUS)(ESCI) (WOS) Q3,   IF-1.0, DOI: 10.1504/IJHST.2025.10067891 , WOSUID: WOS:001370055300005 .
7. Dilip Kumar Jaiswal, Arun Dubey, Gulrana and Premlata Singh “Analytical solution of advection-dispersion equation: A mathematical approach for infectious diseases” Vol. 3025 No. 1 (2024)(PP 030001-1 TO 030001-7) AIP (SCOPUS), DOI: 10.1063/5.0201607.
8. Arun Dubey, Dilip Kumar Jaiswal, Shashi Prakash, Gulrana Gulrana, and Premlata Singh “Mathematical model for pollutant and virus dispersion: An analytical solution for pulse type input source” Mathematics in Engineering, Science and Aerospace Vol. 15 No. 1 (2024) , PP 297-306, ELSEVIER, Q3, IF 0.269. https://nonlinearstudies.com/index.php/mesa/article/view/3384.
9. Dilip Kumar Jaiswal  and Premlata Singh  “Three-Dimensional Analytical Model With Dirichlet Type Boundary Condition For Contaminant Transport In Homogeneous Porous Medium, Vol. 3087 No. 1 (2024) (120001-120007) AIP (SCOPUS), WOS, DOI: 10.1063/5.0199564.
10. Premlata Singh, Priyanka Kumari and Dilip Kumar Jaiswal, “Analytical Solution Of Three-Dimensional Advection-Dispersion Equation Along Porous Media With Cauchy Type Boundary Condition Vol. 3087 No. 1 (2024) (080001-080008) AIP (SCOPUS), WOS, DOI: 10.1063/5.0199585
11. Dilip Kumar Jaiswal, Arun Dubey, Vinay Singh and Premlata Singh, “Temporally Dependent Solute Transport in One-Dimensional Porous Medium: Analytical and Fuzzy Form Solutions” Mathematics in Engineering, Science and Aerospace, Vol. 14 No. 3 (2023), PP. 711-719, ELSEVIER, SCOPUS, Q3, IF 0.269. https://nonlinearstudies.com/index.php/mesa/article/view/3189.
12. Dilip Kumar Jaiswal, Priyanka Kumari,  Pintu Das and Premlata Singh , “Comparative Study Of Analytical and Numerical Solutions For Solute Transport In Two-Dimensional Homogeneous and Anisotropic Porous Media With Time-Dependent Velocity Field " GANITA, Vol.73(2), 2023, pp.105-122, UGC Listed (at Journal No. 17922).. Ganita     https://bharataganitaparisad.com/ganita-volume-732/
13. Premlata Singh , Priyanka Kumari and Dilip Kumar Jaiswal “An Analytical model with off diagonal impact on Solute Transport in Two-dimensional Homogeneous Porous Media with Dirichlet and Cauchy type boundary conditions”, GANITA, Vol.72(1), 2022, pp.299-309, UGC Listed (at Journal No. 17922). Ganita,, https://bharataganitaparisad.com/ganita-volume-721/
14. Begam S, Singh P and Singh MK, Solute transport with time-dependent periodic source concentration in Aquifer, J. Groundwater Research, Vol. 6,7(1), December, 2018, pp28-46.
15. A. K. Tiwari and P. Singh; “Non-Darcy mixed convection between differentially heated vertical walls filled with a porous material: Application of new modified Adomian decomposition method” Open Journal of Fluid Mechanics, V0l. 5, 380-390 (2015) DOI: 10.4236/ojfd.2015.54037 .
16. Singh, P., Yadav, S., and Kumar, N.” One-Dimensional Pollutant’s Advective-Diffusive Transport from a Varying Pulse-Type Point Source through a Medium of Linear Heterogeneity.” J. Hydrol. Eng.,(ASCE) 17(9), 1047–1052. (2012). (SCIE) IF 2.091, DOI: 10.1061/(ASCE)HE.1943-5584.0000553.
17. Singh, P. One dimensional solute transport originating from a exponentially decay type point source along unsteady flow through heterogeneous medium. Journal of Water Resource and Protection (JWARP) Vol. 3(8), pp 590-597, 2011.
18. Singh M K, Mahato N K, & Singh P, Longitudinal Dispersion with Constant Source Concentration along Unsteady Groundwater Flow in Finite Aquifer: Analytical Solution with Pulse Type Boundary Condition. Natural Science. Vol.3 No. 3. Pp186-192, 2011.
19. Singh M K, Singh P & Singh V P, Analytical Solution for Two Dimensional Solute Transport in Finite Aquifer with Time Dependent Source Concentration, Jr. Engineering Mechanics, (ASCE) Vol. 136, no 10, pp1309-1315, 2010.(SCIE) IF 2.62, DOI: 10.1061/(ASCE)EM.1943-7889.0000177
20. Singh M K, Singh V P, Singh P and Shukla D, Analytical solution for conservative solute transport in one dimensional homogeneous porous formations with time dependent velocity, Jr. Engineering Mechanics, ASCE, Vol.135, no.9, pp1015-1021,2009. .(SCIE) IF 2.62, DOI: 10.1061/(ASCE)EM.1943-7889.0000018
21. Singh M K, Mahato N K& Singh P, Longitudinal dispersion with time dependent source concentration in semi-infinite aquifer, Jr. Earth System Science(JESS), Springer,Vol.117,no.6, pp945-949, 2008, DOI: 10.1007/s12040-008-0079-x.
22. Singh M K, Singh P & Singh V P, Solute Transport Model for One-dimensional Homogeneous Porous formations with Time Dependent Point-Source Concentration, Advances of Theoretical & Applied Mechanics, Hikari Ltd., Vol.2, no.3, pp143-157, 2009.
23. Singh M K, Singh P & Singh V P, Analytical Solution for Solute Transport along and against Time Dependent Source Concentration in Homogeneous Finite Aquifers, Advances of Theoretical & Applied Mechanics, Hikari Ltd., Vol.3, no.3, pp99-119, 2010.
24. Singh P & Singh M K, Analytical Solution for Conservative Solute Transport in Two Dimensional Porous Formations with constant source input concentration, Proceedings of The Mathematical Society, B. H.U., Vo1.24, pp128-138, 2008.
25. 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) I.S.M.U, pp441-447, 2009
26. 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.
27. Singh M K & Singh P, Solute transport model with constant source concentration against unsteady groundwater flow in finite aquifer, Proceedings of The   Mathematical Society, B. H.U., Vo1.23, pp 45-52, 2007.
28. Singh, P., Yadav, S.K., Perig, A.V. Two dimensional solute transport from a varying pulse type point source along exponentially varying unsteady flow through heterogeneous medium, Proceeding of International conferences on modeling and simulation of diffusive processes and applications, Dept. of Computer Science, Banaras Hindu University, Varanasi, October (9-12), 2012, pg. no. 68-74.

Invited Talk

1. Singh, P., ‘Comparative Study of Analytical and Numerical Solutions For Infectious Diseases: A Mathematical Approach’, Invited talk in International Conference on Advancement in Natural Sciences: Vedic to Modern Era (ICANSVME - 24), 22 – 24 February 2024, Shri Ramswaroop Memorial University, Lucknow, U.P.

Research Paper Presented/Attended in National/International Conferences:

1. Trisha Kumar, Premlata Singh & Ashish Mohan Dubey, “AI for education and e-Learning in Indian and Higher Technical education” First International conference on Intelligent Machine Processes and AI- Centric Technologies(IMPACT 2025) organized at BIT Mesra, Patna Campus India on 5^th to 6^th Dec. 2025.
2. Premlata Singh, Priyanka Kumari and Dilip Kumar Jaiswal, “Virus Propagation in two dimensional Advection Dispersion Equation in Heterogeneous Medium” 8th International conference on Mathematical Modelling, Applied Analysis and Computation-2025(ICMMAAC-25), Organized by Department of Mathematics, School of Science, JECRC, Jaipur in Association with IIT Mandi, Lebanese American University, Lebanon, Jaipur Mathematical Society, Jaipur. During 1^st  to 3^rd August 2025.
3. Premlata Singh, Ambrish Kumar Tiwari & Dilip Jaiswal Oscillatory volume flow rate of a non-Newtonian fluid flow through porous material in the 6th National Conference on Recent Advancement in Physical Sciences(NCRAPS2025) Jointly organized by DIT University, Dehradun and National Institute of Technology, Uttarakhand in association with MRSI, Delhi Chapter and ISDT DRDO during February 14-15, 2025. 
4. Dubey, A., Jaiswal, D.K., Gulrana, Prakash, S. and Singh, Premlata, ‘Mathematical model for pollutant and virus dispersion: An analytical solution for pulse type input source’, Research Article presented in International Conference on Advancement in Natural Sciences: Vedic to Modern Era (ICANSVME - 24), 22 – 24 February 2024, Shri Ramswaroop Memorial University, Lucknow, U.P.
5. Mahto, B., Singh, Premlata. and Rai, B. “Assessment of groundwater quality in Patna district, Bihar, India using the Water Quality Index method (CCME method), Research Article presented in International Conference on Advancement in Natural Sciences: Vedic to Modern Era (ICANSVME - 24), 22 – 24 February 2024, Shri Ramswaroop Memorial University, Lucknow, U.P.
6. Mahto, B., Singh, P., Krishna, P., Sharan, M., Kumari, S., Farhad, Md. and Raj, H., ‘Evaluation of Drinking Water Quality and its Influence on Resident’s Health at BIT Mesra, Patna Campus, Bihar’, Research Article presented in International Conference on Advancement in Natural Sciences: Vedic to Modern Era (ICANSVME - 24), 22 – 24 February 2024, Shri Ramswaroop Memorial University, Lucknow, U.P.
7. Dilip Kumar Jaiswal and Premlata Singh “Three-Dimensional Analytical Model With Dirichlet Type Boundary Condition For Contaminant Transport In Homogeneous Porous Medium” 2nd International Conference on “Applied Mathematics and Computational Sciences 2022 (ICAMCS-2022) 12–14 October 2022, DIT Dehradun, India (AIP).
8. Premlata Singh, Priyanka Kumari and Dilip Kumar Jaiswal, “Analytical Solution Of Three-Dimensional Advection-Dispersion Equation Along Porous Media With Cauchy Type Boundary Condition, 2nd International Conference on “Applied Mathematics and Computational Sciences 2022 (ICAMCS-2022) 12–14 October 2022, DIT Dehradun, India (AIP).
9. Premlata Singh , Priyanka Kumari and Dilip Kumar Jaiswal “An Analytical model with off diagonal impact on Solute Transport in Two-dimensional Homogeneous Porous Media with Dirichlet and Cauchy type boundary conditions” 68^th Annual conference of BHARAT GANITA PARISAD,  Conference on analysis and applications – An International Meet, 17-18 Nov. 2021, Department of Mathematics and Astronomy University of LUCKNOW, LUCKNOW.
10. Dilip Kumar Jaiswal, Priyanka Kumari,  Pintu Das and Premlata Singh , “Comparative Study Of Analytical and Numerical Solutions For Solute Transport In Two-Dimensional Homogeneous and Anisotropic Porous Media With Time-Dependent Velocity Field” 68^th Annual conference of BHARAT GANITA PARISAD,  Conference on analysis and applications – An International Meet, 17-18 Nov. 2021, Department of Mathematics and Astronomy University of LUCKNOW, LUCKNOW.
11. Singh P., Groundwater Pollution. International seminar on Groundwater quality management in developing countries: the emerging challenge, 27-29 November 2017, Department of Geology Patna University Patna.
12. Singh P., Kumar C., and Singh M.K. “One dimensional solute transport model in semi-infinite aquifer through hetrogenous medium”. International conference on application of fluid dynamics, indian institute of technology (Indian School of Mines) Dhanbad, 19-21 Dec 2016.
13. Singh P. “Analytical solution for One – Dimensional Unsteady Solute Transport along Unsteady Flow through Inhomogeneous Medium in Semi-infinite Aquifer”. 28^th Annual Conference of Mathematical Society Banaras Hindu University on Recent Trends in Mathematical Analysis and Modelling), Dec. 03-04, 2012 Orgnised by BIT Mesra, Patna Campus.
14. Singh P & Yadav S. K., “One – Dimensional Unsteady Solute Transport along Unsteady Flow through Inhomogeneous Medium. 55^th Congress of Indian Socitey of Theoretical and Applied Mechanics (An International Meet), Dec. 18-21, 2010, Dept. of Mathematics, NIT-Hamirpur.
15. Singh P & Yadav S. K., “Two – Dimensional Unsteady Solute Transport along Unsteady Flow through Inhomogeneous Medium in Semi-infinite Aquifer”. 26^th Annual Conference of the Mathematical Society, Nov..28-29, 2010, B.H.U., Varanasi.
16. Singh P & Yadav S. K., “Analytical solution for One – Dimensional Unsteady Solute Transport along Unsteady Flow through Inhomogeneous Medium in Semi-infinite Aquifer”. 12^th International Conference of International Acdemy of Physical Sciences (CONIAPS XII), Dec. 22-24, 2010, University of Rajasthan, Jaipur.
17. Singh M K, Singh P & Kumar N, Longitudinal dispersion with constant source concentration along unsteady groundwater flow in finite aquifer, Joint IAHS & IAH International convention Water: A Vital Resource Under Stress-How Science Can Help, Hyderabad, 6-12 Sept., 2009.
18. Singh M K, Garai, A, & Singh P, Analytical Approach of Concentration Distribution Behaviour through the Wall of Cylinder in Unsteady State Flow Condition 25^thAnnual Conference of the Mathematical Society, Dec.22-24, 2009, B.H.U., Varanasi.
19. International conference on Water, Environment, Energy and Society (WEES), Jan.12-16, 2009, NASC Complex, New Delhi.
20. Singh M K, Kumar R, Singh P & Singh G., Distribution of trace elements concentration levels from ash ponds, Proceedings of National conference on Recent Advances in Information Technology (RAIT-2009), I.S.M.U, 6-7 Feb., 2009.
21. Singh, M.K. & Singh, P., Analytical solution for conservative solute transport in two dimensional homogeneous porous formations with time dependent source input concentration, National Seminar on Recent Advances in Theoretical and Applied Seismology, March 27-28,2009, I.S.M University., Dhanbad
22. Singh P & Singh M K, Analytical solution for conservative solute transport in two dimensional porous formations with constant source input concentration, 24^th  Annual Conference of the Mathematical Society, Dec.30-31, 2008, B.H.U., Varanasi.
23. Seth, G.S. & Singh, P., Effects of Hall Current on Hydromagnetic Couette Flow in a Rotating System in the Presence of Inclined Magnetic Field, National Seminar on Recent Advances in Theoretical and Applied Seismology, March 21-22,2007, I.S.M University., Dhanbad.
24. 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
25. Singh M K & Singh P, Solute transport model with constant source concentration against unsteady groundwater flow in finite aquifer, 23^rd Annual Conference of the Mathematical Society, Dec.29-30, 2007, B.H.U., Varanasi.

National/International Conferences/Workshop Organised:

1. Member of organizing Committee of Research Colloquium organized by BIT Mesra, Patna Campus on 14^th March 2026.
2. Organized A Four Day workshop & Awareness Program from 8-11 March 2026 under the theme Give to Gain, Organised at BIT Mesra, Patna Campus, Role -Convener.
3. Member of Organizing Committee “First International conference on Intelligent machine processes and AI-centric Technology” organized by Dept. of CSE BIT patna on 5-6 December 2025.
4. Advance Computation in Semiconductor Fabrication (FAB) 7th Nov. to 12th Nov 2025, BIT Mesra Patna Campus In collaboration with E&ICT Academy Phase-II.(Member of Technical Committee).
5. Organized One  Day Workshop  On  Mathematical  Sciences  &  its  Applications  in  Data  Science  & Machine  Learning  (MSADSML  -  2025) in  association  with           BCST, Govt. of Bihar, on 20th   March 2025 organized  by  Department  of Mathematics  BIT  MESRA,  Patna  Campus as Convener.
6. Organizing Member of Pre- RD (Republic Day), Central Zone Camp from 10th Nov to 19th Nov 2024 at BIT Patna in association with Ministry of Youth Affairs and Sports, New Delhi, Government of India, Organized by RD of NSS Patna.
7. Organizing  Member  of  National  Integration Camp from 12^th Dec to 18^th  Dec 2024 at BIT Patna at BIT Patna in association with Ministry of Youth Affairs and Sports, New Delhi, Government of India, Organized by RD of NSS Patna.
8. Organizing  Member  of  National  Integration Camp from 25^th Feb to 3^rd March 2023 at BIT Patna at BIT Patna in association with Ministry of Youth Affairs and Sports, New Delhi, Government of India, Organized by RD of NSS Patna.
9. Organizing Member of Pre- RD (Republic Day), Central  Zone  Camp  from  15^th Nov  to  24^th Nov 2021 at BIT Patna in association with Ministry of Youth Affairs and Sports, New Delhi, Government of India, Organized by RD of NSS Patna.

International/ National training/workshop attended:

1. The International Training Programme on “Introduction to Groundwater Flow and Transport Modelling using MODFLOW, MODPATH, MT3DMS and SEAWAT with Model Analysis Using PEST and UCODE” during Sept 1-4, 2009 organized by IAHS and IAH at NGRI, Hyderabad.
2. The National Training Programme on “Symposium on Engineering Applications of MATALAB” organized by the Mineral Engineering Society Indian School of Mines, Dhanbad, from 9-17 january, 2010.
3. Short Term Training Program on “MATHEMATICAL MODELLING & NUMERICAL TECHNIQUES” organized by Department of Mathematics, NIT Warangal, from 17-21 January 2011.
4. Short Term Training Program on “Groundwater and contamination and modelling approach(GCMA-2016)” organized by Department of Applied Mathematics, IIT(ISM) DHANBAD, from 18-20 Dec. 2016.
5. Faculty Development Program on ADVANCE PEDAGOGY, Organised by Swaasthya consulting LLP Banglore, from 14^th  Dec 2015^th to 19 Dec 2015 at BIT PATNA Campus.
6. Science Academic Refresher Course on CRUSTAL STRENGTH RHEOLOGY and SEISMICITY Organized by Department of Applied Mathematics and Applied Geology, IIT(ISM) DHANBAD from 15^th May 2017 to 26^th May 2017.
7. Science Academic Refresher Course on CONCEPT OF FLUID DYNAMICS and APPLICATIONS Organized by Department of Applied Mathematics , IIT(ISM) DHANBAD from 25^th June 2018 to 6^th July 2018.
8. Attended one week STTP on "NBA accreditation" at BIT Patna organized by NITTR, Kolkata. From 04.02.2019 to 14.02.2019.
9. An Academic Work Shop on finite element Analysis held at BIT Mesra, Patna Campus during 08^th  May 2019 to 10^th may 2019.
10. Workshop on “MATLAB/SIMULINK for engineering application” conducted by Department of Electrical an Electronics Engineering, BIT Mesra, Patna Campus during 14^th oct 2019 to 18^th Oct 2019.
11. 84^th Orientation Programme organized by University Grants Commission Human Resource Development Centre(HRDC) Patna University, Patna from 29^th Nov 2019 to 19^th Dec 2019.
12. Short term faculty training program on INDIAN KNOWLEDGE SYSTEMS” conducted by UGC HUMAN RESOURCES DEVELOPMENT CENTRE, BHU VARANASI in collaboration with IKS Division Ministry of education Govt. of INDIA New Delhi during 28^th August, 2023 to 02^nd September, 2023.   
13. AICTE-MIC funded FDP on Entrepreneurship and Innovation, 24-28 Mar 2025 at BIT Patna.
14.   Advance Computation in Semiconductor Fabrication (FAB) 7th Nov. to 12th Nov 2025, BIT Mesra Patna Campus In collaboration with E&ICT Academy Phase-II.
15. 7 Days FDP on “Innovation in Machine Learning and cyber-Physical Systems for Sustainable Entrepreneurship” from 5^th-11^th January 2026, Organized by BIT Mesra, Patna Campus in association with E&ICT, Academy, NIT Patna.

1. Life Member of Mathematical Society (BHU Varanasi)
2. Life Member of Society of Applied Mathematics (ISM Dhanbad)
3. Life Member of Indian Society of Theoretical and Applied Mechanics (IIT Kharagpur)
4. Life member of Bharat Ganit Parishad University of Lucknow(GANITA)
5. IAHS(UK)

1.  Premlat Singh, M. K. S.ingh, Vijay P. Singh (2010). “Contaminant Transport in Unsteady Groundwater       Flow: Analytical Solutions” ISBN No. 783843388887, Publisher LAP.

Book Chapter:

Book Chapter:

1. IIT (ISM) Dhanbad: Selected as Junior Reserch Fellow (ISM-JRF)
2. D.S. Kothari Post Doctoral Fellowship by University Grant Commission (UGC).