Dr. Amit Kumar Verma is an esteemed Assistant Professor in the Department of Physical Sciences (Mathematics) at Jaypee University Anoopshahr. He earned his Bachelor's degree in Mathematics and continued his academic journey at Motilal Nehru National Institute of Technology (MNNIT) Allahabad, where he obtained his Master of Science (M.Sc.) and subsequently completed his Doctorate (Ph.D. at MNNIT, 2022) in Mathematics. Beyond his academic pursuits, Dr. Amit Kumar Verma remains an active contributor to the scientific community. His research findings have been published in esteemed journals and presented at international conferences. His research contributions span areas such as Applied Mathematics, Fluid Dynamics, Blood Flow through Arteries, Porous Media, among others. He has also participated in numerous workshops and seminars covering topics such as the Application of Mathematics, Mathematical Modeling, and Research Writing.
EDUCATION
PhD in Mathematics
RESEARCH, TEACHING, or OTHER INTERESTS
Mathematics, Fluid Flow and Transfer Processes, Applied Mathematics
7
Scopus Publications
123
Scholar Citations
5
Scholar h-index
4
Scholar i10-index
Scopus Publications
Numerical investigation of unsteady magnetohydrodynamic flow of a Newtonian fluid with variable viscosity in an inclined channel Amit Kumar Verma Physics of Fluids, 2025 This research investigates the unsteady flow dynamics of an electrically conducting Newtonian fluid with variable viscosity in an inclined channel under the influence of a uniform magnetic field. The flow is driven by a constant pressure gradient applied at the entrance of the channel, and the governing equations are derived from the Navier–Stokes equation, incorporating the impact of magnetic fields, gravitational force, and viscosity variations. The no-slip boundary condition at the channel walls and appropriate initial conditions are applied. A numerical solution to the non-dimensionalized flow equations is obtained to analyze key flow characteristics, such as velocity profiles, flow rate, and wall stresses. The impact of various dimensionless parameters, including viscosity variation, magnetic field strength, Froude number, and channel inclination angle, on the flow behavior is explored through graphical and tabular presentations. The results provide insights into how these parameters influence the velocity distribution, volumetric flow rate, and wall stresses in the inclined channel, contributing to a deeper understanding of magnetohydrodynamic flows in practical applications.
ANALYSIS OF THE MHD FLOW OF IMMISCIBLE FLUIDS WITH VARIABLE VISCOSITY IN AN INCLINED CHANNEL P. K. Yadav, A. K. Verma Journal of Applied Mechanics and Technical Physics, 2023 Abstract The aim of the present work is to examine the flow of electrically conducting immiscible Newtonian fluids with variable viscosity through an inclined channel under the influence of a magnetic field. The flow is generated because of a constant pressure gradient. The flow in an inclined channel is governed by the Navier–Stokes equations. Analytical expressions for the velocity, flow rate, and stress are derived. The influence of various parameters of the problem on the flow characteristics is analyzed.
Analysis of two non-miscible electrically conducting micropolar fluid flow through an inclined porous channel: Influence of magnetic field Pramod Kumar Yadav, Amit Kumar Verma ZAMM Zeitschrift Fur Angewandte Mathematik Und Mechanik, 2023 This work aims to analyse the flow of immiscible micropolar fluid through an inclined porous channel in presence of uniform magnetic field. The flow model have divided in two different porous regions and permeability of each porous region is taken different. The two immiscible electrically conducting micropolar fluids which have different densities and viscosities, take place through these two porous regions. The flow in an inclined porous channel is caused by a constant pressure gradient which acts on entrance section of flow domain. The flow of the micropolar fluids in the respective regions is governed by Brinkman's equation. The governing flow equations of the proposed model are solved analytically by reliable techniques and exact solution of flow field, flow rate and wall shear stress is evaluated by using well‐known boundary conditions. In this work, authors examined the influence of existing parameters such as permeability parameters, Hartmann number, gravitational parameter, viscosity ratio and so forth, which describes the physical significance of the presented model, on velocity profile, flow rate and wall shear stresses and these effect presented by graphs. The results are validated with the findings of past published article.
Analysis of two immiscible Newtonian and micropolar fluid flow through an inclined porous channel Pramod Kumar Yadav, Amit Kumar Verma Mathematical Methods in the Applied Sciences, 2022 In this work, the flow behaviour of two immiscible fluids is analysed through an inclined channel which is made of two rigid plates. The flow model consists of two porous regions of different permeability. Newtonian and micropolar fluids are allowed to flow in the region‐I and region‐II, respectively. The flow of Newtonian and micropolar fluid in respective porous region is governed by the Brinkman's equation. An exact solution of the proposed mathematical model is obtained by using well‐known and appropriate boundary conditions. The expressions for linear velocity, microrotational velocity, flow rate and stresses are evaluated. The effect of various emerging non‐dimensional parameters like viscosity ratio, couple stress parameter, gravitational parameter, Reynolds number, and so on, on linear velocity, microrotational velocity, flow rate and stresses is presented graphically. The results are validated with the help of the previous established results.
Numerical Analysis of Nanoparticle Diffusion: Solving Time-Fractional Klein–Gordon Equations with the Laplace Homotopy Perturbation Method M Kashyap, S Gupta, HD Arora, AK Verma Recent Developments in Fractional Calculus: Theory, Applications, and … , 2025 2025 Citations: 3
Numerical investigation of unsteady magnetohydrodynamic flow of a Newtonian fluid with variable viscosity in an inclined channel AK Verma Physics of Fluids 37 (1) , 2025 2025 Citations: 5
Analysis of the MHD flow of immiscible fluids with variable viscosity in an inclined channel PK Yadav, AK Verma Journal of Applied Mechanics and Technical Physics 64 (4), 618-627 , 2023 2023 Citations: 12
Magnetohydrodynamics of immiscible Newtonian fluids in porous regions of different variable permeability functions PK Yadav, S Jaiswal, AK Verma, AJ Chamkha Journal of Petroleum Science and Engineering 220, 111113 , 2023 2023 Citations: 28
Analysis of two non‐miscible electrically conducting micropolar fluid flow through an inclined porous channel: Influence of magnetic field PK Yadav, AK Verma ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte … , 2023 2023 Citations: 9
Analysis of two immiscible Newtonian and micropolar fluid flow through an inclined porous channel PK Yadav, AK Verma Mathematical Methods in the Applied Sciences 45 (3), 1700-1724 , 2022 2022 Citations: 23
Analysis of immiscible Newtonian and non-Newtonian micropolar fluid flow through porous cylindrical pipe enclosing a cavity PK Yadav, AK Verma The European Physical Journal Plus 135 (8), 645 , 2020 2020 Citations: 43
MOST CITED SCHOLAR PUBLICATIONS
Analysis of immiscible Newtonian and non-Newtonian micropolar fluid flow through porous cylindrical pipe enclosing a cavity PK Yadav, AK Verma The European Physical Journal Plus 135 (8), 645 , 2020 2020 Citations: 43
Magnetohydrodynamics of immiscible Newtonian fluids in porous regions of different variable permeability functions PK Yadav, S Jaiswal, AK Verma, AJ Chamkha Journal of Petroleum Science and Engineering 220, 111113 , 2023 2023 Citations: 28
Analysis of two immiscible Newtonian and micropolar fluid flow through an inclined porous channel PK Yadav, AK Verma Mathematical Methods in the Applied Sciences 45 (3), 1700-1724 , 2022 2022 Citations: 23
Analysis of the MHD flow of immiscible fluids with variable viscosity in an inclined channel PK Yadav, AK Verma Journal of Applied Mechanics and Technical Physics 64 (4), 618-627 , 2023 2023 Citations: 12
Analysis of two non‐miscible electrically conducting micropolar fluid flow through an inclined porous channel: Influence of magnetic field PK Yadav, AK Verma ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte … , 2023 2023 Citations: 9
Numerical investigation of unsteady magnetohydrodynamic flow of a Newtonian fluid with variable viscosity in an inclined channel AK Verma Physics of Fluids 37 (1) , 2025 2025 Citations: 5
Numerical Analysis of Nanoparticle Diffusion: Solving Time-Fractional Klein–Gordon Equations with the Laplace Homotopy Perturbation Method M Kashyap, S Gupta, HD Arora, AK Verma Recent Developments in Fractional Calculus: Theory, Applications, and … , 2025 2025 Citations: 3
