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``Academic success depends on research and publications.'' -- Philip Zimbardo

Research Publications:

(Citations: 343, h-index: 11: i10-index: 15 -- source Google Scholar       as of March 7, 2024)

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Books

  1. M. Kumbhakar and V. P. Singh, Homotopy-Based Methods in Water Engineering. CRC Press, Boca Raton, 2023, ISBN: 978-983-3986-58-3.  DOI: 10.1201/9781003368984.

Journal Articles

(IF = Impact Factor, AMS MCQ = American Mathematical Society Mathematics Citation Quotient, ‘bold-faced’ indicates the corresponding author)

  1. M. Kumbhakar and C. W. Tsai, “Stochastic suspended sediment dynamics in semi-bounded open channel flows: A reflected sde approach,” arXiv preprint arXiv:2402.01842, 2024.  DOI: 10.48550/arXiv.2402.01842.                                    

  2. C. W. Tsai, M.-J. Wu, and M. Kumbhakar, “Modified stochastic diffusion particle tracking model driven by skew brownian motion: Analysis of sediment particle motion in turbulent flow under the effects of ejection and sweep,” Chaos: An Interdisciplinary Journal of Nonlinear Science, 2024, accepted for publication, [IF: 3.741; AMS MCQ: 0.26].                        

  3. M. Kumbhakar and V. P. Singh, “Approximation for the theis well function using ramanujan’s series and bounds for the exponential integral,” Journal of Hydrologic Engineering, vol. 29, no. 2, p. 06 024 001, 2024. DOI: 10.1061/JHYEFF.HEENG-6064, [IF: 2.439; AMS MCQ: NA].                                                                                                    

  4. M. Kumbhakar, C. W. Tsai, and V. P. Singh, “Improved velocity profile in open channels using incomplete information–based entropy theory,” Journal of Hydrologic Engineering, vol. 28, no. 10, p. 04 023 030, 2023.  DOI: 10.1061/JHYEFF.HEENG-5978, [IF: 2.439; AMS MCQ: NA].                                                                                                    

  5. M. Kumbhakar, C. W. Tsai, and R. Absi, “Semi-analytical modeling of sediment-laden open-channel flows with the effects of stratification, hindered settling, and eddy viscosities,” Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 33, no. 8, 2023.  DOI: 10.1063/5.0157383, [IF: 3.741; AMS MCQ: 0.26].                                                                                      

  6. M. Kumbhakar and C. W. Tsai, “Analytical modeling of vertical distribution of streamwise velocity in open channels using fractional entropy,” Chaos, Solitons & Fractals, vol. 169, p. 113 285, 2023.  DOI: 10.1016/j.chaos.2023.113285, [IF: 9.922; AMS MCQ: NA].                                                                                                                                                                      

  7. M. Kumbhakar and V. P. Singh, “Analytical approximations of well function by solving the governing differential equation representing unsteady groundwater flow in a confined aquifer,” Mathematics, vol. 11, no. 7, p. 1652, 2023.  DOI: 10.3390/math11071652, [IF: 2.592; AMS MCQ: NA].                                                                                                                   

  8. M. Kumbhakar and V. P. Singh, “Approximate analytical solutions for multispecies convection-dispersion transport equation with variable parameters,” Frontiers in Earth Science, vol. 10, p. 1 064 110, 2023.  DOI: 10.3389/feart.2022.1064110, [IF: 3.661; AMS MCQ: NA].                                                                                                      

  9. M. Kumbhakar and C. W. Tsai, “A probabilistic model on streamwise velocity profile in open channels using tsallis relative entropy theory,” Chaos, Solitons & Fractals, vol. 165, p. 112 825, 2022.  DOI: 10.1016/j.chaos.2022.112825, [IF: 9.922; AMS MCQ: NA].                                                                                                                                                          

  10. M. Kumbhakar, S. Mohan, K. Ghoshal, J. Kumar, and V. P. Singh, “Semianalytical solution for nonequilibrium suspended sediment transport in open channels with concentration-dependent settling velocity,” Journal of Hydrologic Engineering, vol. 27, no. 2, p. 04 021 048, 2022.  DOI: 10.1061/(ASCE)HE.1943-5584.0002160, [IF: 2.439; AMS MCQ: NA].                                                                                                                                                                                     

  11. P. Jain, M. Kumbhakar, and K. Ghoshal, “Application of homotopy analysis method to the determination of vertical sediment concentration distribution with shear-induced diffusivity,” Engineering with computers, pp. 1–20, 2021.  DOI: 10.1007/s00366-021-01491-8, [IF: 8.083; AMS MCQ: NA].                                                                                                    

  12. M. Kumbhakar and Z. Sheikh Khozani, “Discussion of “estimation of one-dimensional velocity distribution by measuring velocity at two points” by yeganeh and heidari (2020),” Flow Measurement and Instrumentation, vol. 77, p. 101 886, 2021, ISSN: 0955-5986.  DOI: 10.1016/j.flowmeasinst.2021.101886, [IF: 2.42; AMS MCQ: NA].                                              

  13. M. Kumbhakar, R. K. Ray, S. K. Chakraborty, K. Ghoshal, and V. P. Singh, “Mathematical modelling of streamwise velocity profile in open channels using tsallis entropy,” Communications in Nonlinear Science and Numerical Simulation, vol. 94, p. 105 581, 2021, ISSN: 1007-5704.  DOI: 10.1016/j.cnsns.2020.105581, [IF: 4.186; AMS MCQ: 0.51].                                     

  14. M. Kumbhakar, “Streamwise velocity profile in open-channel flow based on tsallis relative entropy,” Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 30, no. 7, 2020.  DOI: 10.1063/1.5144867, [IF: 3.741; AMS MCQ: 0.26].                                                                                                                                                                                   

  15. M. Kumbhakar, R. K. Ray, K. Ghoshal, and V. P. Singh, “On the role of tsallis entropy index for velocity modelling in open channels,” Physica A: Statistical Mechanics and its Applications, vol. 557, p. 124 901, 2020, ISSN: 0378-4371.  DOI: 10.1016/j.physa.2020.124901, [IF: 3.778; AMS MCQ: 0.15].                                                                                                  

  16. S. Mohan, M. Kumbhakar, K. Ghoshal, and J. Kumar, “Semi-analytical solution for one-dimensional unsteady sediment transport model in open channel with concentration-dependent settling velocity,” Physica Scripta, vol. 95, no. 5, p. 055 204, 2020.  DOI: 10.1088/1402-4896/ab6f21, [IF: 3.081; AMS MCQ: NA].                                                                               

  17. M. Kumbhakar, K. Ghoshal, and V. P. Singh, “Two-dimensional distribution of streamwise velocity in open channel flow using maximum entropy principle: Incorporation of additional constraints based on conservation laws,” Computer Methods in Applied Mechanics and Engineering, vol. 361, p. 112 738, 2020, ISSN: 0045-7825. DOI: 10.1016/j.cma.2019.112738, [IF: 6.588; AMS MCQ: 2.29].                                                                                                     

  18. M. Kumbhakar, K. Ghoshal, and V. P. Singh, “Application of relative entropy theory to streamwise velocity profile in open-channel flow: Effect of prior probability distributions,” Zeitschrift für angewandte Mathematik und Physik, vol. 70, pp. 1–21, 2019.  DOI: 10.1007/s00033-019-1124-0, [IF: 2.221; AMS MCQ: 1.03].                                                                              

  19. S. Mohan, M. Kumbhakar, K. Ghoshal, and J. Kumar, “Semianalytical solution for simultaneous distribution of fluid velocity and sediment concentration in open-channel flow,” Journal of Engineering Mechanics, vol. 145, no. 11, p. 04 019 090, 2019.  DOI: 10.1061/(ASCE)EM.1943-7889.0001671, [IF: 3.125; AMS MCQ: NA].                                                          

  20. K. Ghoshal, M. Kumbhakar, and V. P. Singh, “Distribution of sediment concentration in debris flow using rényi entropy,” Physica A: Statistical Mechanics and its Applications, vol. 521, pp. 267–281, 2019, ISSN: 0378-4371. DOI: 10.1016/j.physa.2019.01.081, [IF: 3.778; AMS MCQ: 0.15].                                                                                                    

  21. M. Kumbhakar, S. Kundu, and K. Ghoshal, “An explicit analytical expression for bed-load layer thickness based on maximum entropy principle,” Physics Letters A, vol. 382, no. 34, pp. 2297–2304, 2018, ISSN: 0375-9601. DOI: 10.1016/j.physleta.2018.05.045, [IF: 2.707; AMS MCQ: 0.18].                                                                                                

  22. M. Kumbhakar, J. Saha, K. Ghoshal, J. Kumar, and V. P. Singh, “Vertical sediment concentration distribution in high-concentrated flows: An analytical solution using homotopy analysis method,” Communications in Theoretical Physics, vol. 70, no. 3, p. 367, 2018.  DOI: 10.1088/0253-6102/70/3/367, [IF: 2.877; AMS MCQ: 0.06].                                                 

  23. K. Ghoshal, M. Kumbhakar, and V. P. Singh, “Suspended sediment concentration and discharge in open channels using rényi entropy,” Journal of Hydrologic Engineering, vol. 23, no. 9, p. 04 018 038, 2018.  DOI: 10.1061/(ASCE)HE.1943-5584.0001687, [IF: 2.439; AMS MCQ: NA].                                                                                                                               

  24. P. Jain, M. Kumbhakar, and K. Ghoshal, “A mathematical model on depth-averaged β-factor in open-channel turbulent flow,” Environmental Earth Sciences, vol. 77, pp. 1–10, 2018.  DOI: 10.1007/s12665-018-7428-0, [IF: 3.119; AMS MCQ: NA].                                                                                                                                                                                     

  25. S. Kundu, M. Kumbhakar, and K. Ghoshal, “Reinvestigation on mixing length in an open channel turbulent flow,” Acta Geophysica, vol. 66, pp. 93–107, 2018.  DOI: 10.1007/s11600-017-0109-7, [IF: 2.293; AMS MCQ: NA].                                       

  26. M. Kumbhakar, S. Kundu, and K. Ghoshal, “Hindered settling velocity in particle-fluid mixture: A theoretical study using the entropy concept,” Journal of Hydraulic Engineering, vol. 143, no. 11, p. 06 017 019, 2017. DOI: 10.1061/(ASCE)HY.1943-7900.0001376, [IF: 2.785; AMS MCQ: NA].                                                                                        

  27. M. Kumbhakar, K. Ghoshal, and V. P. Singh, “Renyi entropy and random walk hypothesis to study suspended sediment concentration,” Journal of Hydrologic Engineering, vol. 22, no. 8, p. 04 017 027, 2017.  DOI: 10.1061/(ASCE)HE.1943-5584.0001546, [IF: 2.439; AMS MCQ: NA].                                                                                                                            

  28. M. Kumbhakar and K. Ghoshal, “One-dimensional velocity distribution in open channels using renyi entropy,” Stochastic Environmental Research and Risk Assessment, vol. 31, pp. 949–959, 2017.  DOI: 10.1007/s00477-016-1221-y, [IF: 3.821; AMS MCQ: NA].                                                                                                                                                                       

  29. M. Kumbhakar, K. Ghoshal, and V. P. Singh, “Derivation of rouse equation for sediment concentration using shannon entropy,” Physica A: Statistical Mechanics and its Applications, vol. 465, pp. 494–499, 2017, ISSN: 0378-4371. DOI: 10.1016/j.physa.2016.08.068, [IF: 3.778; AMS MCQ: 0.18].                                                                                                    

  30. M. Kumbhakar, S. Kundu, K. Ghoshal, and V. P. Singh, “Entropy-based modeling of velocity lag in sediment-laden open channel turbulent flow,” Entropy, vol. 18, no. 9, p. 318, 2016.  DOI: 10.3390/e18090318, [IF: 2.738; AMS MCQ: 0.18].               

  31. M. Kumbhakar and K. Ghoshal, “Two dimensional velocity distribution in open channels using renyi entropy,” Physica A: Statistical Mechanics and its Applications, vol. 450, pp. 546–559, 2016, ISSN: 0378-4371. DOI: 10.1016/j.physa.2016.01.046, [IF: 3.778; AMS MCQ: 0.15].         

Conference Presentation/Publication

  1. M. Kumbhakar and C. W. Tsai, “Stochastic suspended sediment dynamics using reflected stochastic differential equation,” 34th KKHTCNN, 22–25 November, Pattaya, Thailand, 2023.                                                                                                          

  2. M. Kumbhakar, J. Saha, K. Ghoshal, J. Kumar, and V. P. Singh, “A closed-form explicit analytical solution to the generalized one-dimensional diffusion equation for suspended sediment transport in open channels,” TOPAS- 2017, A National Conference on Engineering Mathematics, 16th–17th December, Department of Mathematics, IIT Kharagpur, India, 2017.                                                                                                                                                                              

  3. K. Ghoshal and M. Kumbhakar, “Velocity profile in a sediment-laden flow through mixing length approach,” 37th IAHR (International Association for Hydro-Environment Engineering and Research) WORLD CONGRESS, 13th-18th August, Kuala Lumpur, Malaysia, 2017.                                                                                                                                                    

  4. K. Ghoshal and M. Kumbhakar, “A study on the β–factor in sediment-laden flow through open channels,” Proceedings of International Conference on Hydraulics, Water Resources and Coastal Engineering, HYDRO-2016, CWPRS Pune, India, 8th-10th December, 2016.

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