Dr. Atul Kumar Ray is presently working as an Assistant Professor in the department of Engineering Mathematics and Computing, Madhav Institute of Technology and Science (MITS) Gwalior, Madhya Pradesh, India. Dr. Ray has more than 7 years of teaching experience in different institutes and universities (which includes MNNIT Allahabad , GCE Keonjhar Odisha (NPIU Govt. of India, TEQIP-III), ITER, Siksha ‘O’ Anusandha Deemed to be University Bhubaneswar.) He has numerous publications in SCI/SCIE, ESCI/Web of Science and Scopus indexed Journals of highly repute. He is reviewer of many articles in international Journals (like Case study in Thermal Engineering (Elsevier), Heat and Mass Transfer (Springer), World Journal of Engineering (Emeralds Insight), Waves in Random and Complex Media (Taylor & Francis) etc. He is Topic Editor and Editorial member of Journal "Frontiers in Applied Mathematics and Statistics" and "Applied and Computational Mathematics" respectively.
EDUCATION
Dr. Atul Kumar Ray has completed his Ph. D. from Motilal Nehru National Institute of Technology (MNNIT) Allahabad, Prayagraj, Uttar Pradesh, India in the field of Fluid Dynamics with his PhD. Thesis Titled “Homotopy Simulation of Convective Flow of Non-Newtonian Fluids”. Apart from qualifying national exams like NET-JRF (Mathematical Science) and GATE (Mathematics), he was university topper in his Master degree from Mathematics and Allied Science from Jiwaji University Gwalior, Madhya Pradesh.
RESEARCH, TEACHING, or OTHER INTERESTS
Applied Mathematics, Multidisciplinary, Modeling and Simulation
24
Scopus Publications
355
Scholar Citations
12
Scholar h-index
13
Scholar i10-index
Scopus Publications
Hydro-magneto-thermal performance and irreversibility analysis of copper and aluminum oxide-based nanomaterial inside an octagonal enclosure Amit Kumar, Priyabrata Sethy, Atul Kumar Ray, Abha Kumari, V. K. Chaurasiya International Journal of Modern Physics B, 2026 This study aims to explore the influence of the magnetic field on the buoyancy-driven flow behavior of a hybrid nanomaterial within an impermeable, rigid octagonal enclosure, which consists of a heated circular cylinder. The rectangular fins of variable lengths are attached to the circular cylinder. The considered nanomaterial within an octagonal enclosure is copper and aluminum nanoparticles suspended in water (Cu–Al 2 O 3 /H 2 O). Further, boundary configurations are that the horizontal (lower and upper) walls of an octagonal cavity are kept at high temperature, the vertical walls remain at low temperature and the remaining inclined walls are insulated. Numerical simulations are carried out on the nondimensional governing equations by implementing the Finite Element Method (FEM) incorporating the Galerkin algorithm in robust COMSOL-MULTIPHYSICS software. The velocity field, entropy generation, temperature, Nusselt number, and Bejan number are simulated via streamlines and isotherms. The impact of significant parameters like Hartmann number ([Formula: see text]), heat generation parameter ([Formula: see text]), Rayleigh number ([Formula: see text]), and size of the fins ([Formula: see text], 0.12, 0.17) are also analyzed. The current findings are directly relevant to thermal management systems, viz., compact heat exchangers, electronic device cooling, and solar thermal collectors, where minimal irreversibility and efficient heat dissipation are crucial, as the heat dissipation and irreversibility are explored in the study. Model validation confirms the reliability of the numerical approach. It is found from the study that the temperature within an enclosure is enhanced with a rise in the size (H) of the fins. Entropy reduces with an increase in Hartmann number Ha and size of fins which is a favorable case for a thermal storage system. The average Nusselt number is a decreasing function of Ha and Q and an increasing function of Ra.
Magneto-thermogravitational convective flow of hybrid nanomaterial within an enclosure subject to partially active side walls Priyabrata Sethy, Amit Kumar, Atul K. Ray, Vineet K. Chaurasiya, Apul N. Dev, Mikhail A. Sheremet ZAMM Zeitschrift Fur Angewandte Mathematik Und Mechanik, 2025 Natural convection, driven by buoyancy, is utilized for the heat transport in various applications including thermal exchangers, cooling of heat sources, solar collectors, geothermal power systems, electronic devices, microelectronics, and nuclear industries. This research focuses on the free convection of a hybrid nanoliquid containing Ag–MgO nanoparticles in an enclosure having partially active borders. The hybrid nanosuspension utilized is a mixture of MgO and Ag nanoparticles in equal proportions, suspended in water as the base liquid. The square enclosure is subject to the Lorentz force impact. The study examines two cases. In Case 1, the left wall experiences heat dissipation via a heat sink at a fixed temperature Tc, whilst the right wall is partly affected by the active chamber borders with a heater at temperature Th (where Th > Tc). The rest sections of vertical borders are adiabatic. In addition, the cavity is thermally insulated on both the upper and lower surfaces. In Case 2, the chamber's vertical sides are heated to a certain extent (Th), whereas the bottom wall is somewhat cold (Tc) and has some level of activity. The remaining inactive sections of the cavity are adiabatic. The control flow equations were resolved with the help of COMSOL Multiphysics, which is complex modelling software for computational fluid dynamics (CFD). The computational study has been performed with the following parameters, Rayleigh number (Ra) = 103–106, Hartmann number (Ha) = 0–80, and nanoparticles volume fraction (ϕ) = 0.01, 0.02. The effect of important variables, such as Hartmann and Rayleigh numbers, in conjunction with the concentration of nano additives has been examined by analyzing streamlines and isotherms to understand their effect on thermal convection. It is found from the isotherms within the cavity in Case 2, that increment in Ha leads to slight rise the temperature within the cavity. Further, in Case 1, Nuavg is decreasing function of Ha and Q. While in Case 2, the average Nu is decreasing function of Q and increasing function of Ra and ϕ.
Mixed convection magnetohydrodynamic flow of hybrid nanofluid over a spinning sphere with nonlinear thermal radiation: Keller-Box approach Amit Kumar, Priyabrata Sethy, Atul Kumar Ray, Abha Kumari Numerical Heat Transfer Part A Applications, 2025 This article's primary focus is on analyzing the impact of heat generation/absorption and nonlinear thermal radiation on the mixed convective flow of hybrid nanomaterials around a rotating sphere. Due to many applications which could be encountered in spin-stabilized missiles, cooling of spinning machinery segments, medication transfer, electrolysis management, and many other industrial applications research into convective flow across a rotating sphere is progressively increasing. A combination of copper and aluminum oxide was added to the base fluid (Al2O3 − Cu/H2O) to improve its thermal conductivity. The current investigation additionally considers nanoparticles of varying shapes. Using a computational technique known as the Keller-Box method, we find a numerical solution to the fluid flow of hybrid nanofluid problem. The study uses graphical representations and in-depth explanations to show how different flow parameters affect temperature and velocity profiles. Additionally, numerical outcomes for the skin friction coefficient and Nusselt number for various parameters are shown in tabular form. Rotational speed of sphere rises because tangential velocity at the boundary of the sphere increases under the influence of rotational parameter and acceleration factor. The ratio of fluid to surface temperatures (temperature ratio) rises, results in acceleration of the heat transfer rate from the hybrid nanofluid to the boundary of the rotating sphere. The findings have a wide range of enticing applications and can be useful in designing and optimizing heat transfer systems involving nanofluid.
Lie symmetry reductions and exact solutions of (2+1)-dimensional Boiti–Leon–Manna–Pempinelli equation in shallow water Rajat Kumar, Dig Vijay Tanwar, Satya Jeet Singh, Atul Kumar Ray Canadian Journal of Physics, 2025 This work aims to derive symmetry reductions and exact solutions of Boiti–Leon–Manna–Pempinelli (BLMP) equation using the Lie symmetry approach. The BLMP equation is highly nonlinear integrable shallow water wave model. It describes propagation of solitary waves in shallow water. The method is based on invariance property under one parameter transformation, which ensures the reducibility of test equation and results to infinitesimals. Therefore, BLMP equation reduces independent variable and gets first symmetry reductions. A twice implementation of method transforms the BLMP equation into corresponding ordinary differential equations (ODEs). Such ODEs are determined under suitable conditions and thus, derive exact solutions. These solutions are novel and never addressed in literature. The derived solutions contain various arbitrary functions and constants, therefore significant to express rich physical structures of governing phenomena. To study physical importance of the solutions and associated phenomena, these solutions have been supplemented via numerical simulations. Thus, variety of physical structures like periodic, parabolic, multisoliton, and transition in soliton nature are analyzed systematically.
Residual and computational time analysis of the boundary-layer flow Atul Kumar Ray, B. Vasu, Amit Kumar, Dig Vijay Tanwar, Divya Chaturvedi, Minakshi Poonia Modeling and Simulation of Fluid Flow and Heat Transfer, 2024 The present study is to address an analytical solution to a two-dimensional similarity boundary-layer flow problem originated by the motion of an impermeable flat plate using the homotopy (series solution) approach. By employing a suitable similarity transformation, we reduce the equations which govern the flow to ordinary differential equations. The influence of parameter (control parameter and σ* = f 0(∞) in base function) in the homotopy analysis method (HAM) is examined through graphical and tabular representations. The study demonstrates that the control parameter plays a significant role in shaping the flow and solution process. Further, to understand the computational efficiency of the HAM, we analysed the residual errors and computational time in relation to the iteration process, offering valuable insights into the number of iterations required for efficient computational execution. This information aids in understanding the computational efficiency of the method and its applicability to similar problems. The study underscores the effect of control parameter and σ* = f 0(∞) on the flow and solution process, emphasizing the flexibility of homotopy series solution with help of computational time and accuracy in solving complex boundary value problems.
Unsteady mixed convective flow of hybrid nanofluid past a rotating sphere with heat generation/absorption: an impact of shape factor Amit Kumar, Abhipsa P. Dash, Atul Kumar Ray, Priyabrata Sethy, Idamakanti Kasireddy International Journal of Numerical Methods for Heat and Fluid Flow, 2023 Purpose This study aims to examine the flow of unsteady mixed convective hybrid nanofluid over a rotating sphere with heat generation/absorption. The hybrid nanofluid contains different shapes of nanoparticles (copper [Cu] and aluminium oxide [Al2O3]) in the base fluid (water [H2O]). The influence of different shapes (sphere, brick, cylinder, platelets and blades) of nanoparticle in water-based hybrid nanofluid is also investigated. Design/methodology/approach To analyse the nanomaterial, the flow model is established, and in doing so, the Prandtl’s boundary layer theory is incorporated into the present model. The bvp4c approach, i.e. finite difference method, is used to find the numerical solution of differential equations that is controlling the fluid flow. The effect of relevant flow parameters on nanofluid temperature and velocity profile is demonstrated in detailed explanations using graphs and bar charts, whereas numerical results for Nusselt number and the skin’s coefficient for various form parameters are presented in tabular form. Findings The rate of heat transfer is least for spherical-shaped nanoparticle because of its smoothness, symmetricity and isotropic behaviour. The rate of heat transfer is highest for blade-shaped nanoparticles as compared to other shapes (brick, cylindrical and platelet) of nanoparticles because the blade-shaped nanoparticles causes comparatively more turbulence flow in the nanofluid than other shapes of nanoparticle. Heat generation affects the temperature distribution and, hence, the particle deposition rate. The absorption of heat extracts heat and reduce the temperature across the rotating sphere. The heat generation/absorption parameter plays an important role in establishing and maintaining the temperature around the rotating sphere. Research limitations/implications The numerical study is valid with the exception of the fluctuation in density that results in the buoyancy force and the functional axisymmetric nanofluid transport has constant thermophysical characteristics. In addition, this investigation is also constrained by the assumptions that there is no viscosity dissipation, no surface slippage and no chemically activated species. The hybrid nanofluid Al2O3–Cu/H2O is an incompressible and diluted suspension. The single-phase hybrid nanofluid model is considered in which the relative velocity of water (H2O) and hybrid nanoparticles (Al2O3–Cu) is the same and they are in a state of thermal equilibrium. Practical implications Study on convective flow across a revolving sphere has its applications found in electrolysis management, polymer deposition, medication transfer, cooling of spinning machinery segments, spin-stabilized missiles and other industrial and technical applications. Originality/value The originality of the study is to investigate the effect of shape factor on the flow of electrically conducting hybrid nanofluid past a rotating sphere with heat generation/absorption and magnetic field. The results are validated and provide extremely positive balance with the recognised articles. The results of the study provide many appealing applications that merit further study of the problem.
Natural convection of Carreau nanofluid flow past vertical flat plate with periodic variation of temperature and concentration International Conference on Computational Methods for Thermal Problems, 2018
RECENT SCHOLAR PUBLICATIONS
Hydro-magneto-thermal performance and irreversibility analysis of copper and aluminum oxide-based nanomaterial inside an octagonal enclosure A Kumar, P Sethy, AK Ray, A Kumari, VK Chaurasiya International Journal of Modern Physics B 40 (13), 2650116 , 2026 2026
Thermal performance and irreversibility analysis in hexagonal chamber filled with MgO-Ag/H2O hybrid nanomaterial: vertical vs. horizontal finned configurations A Kumar, AK Ray, P Sethy, A Kumar, P Chaudhary, MA Sheremet Journal of Thermal Analysis and Calorimetry 151 (7), 6145-6168 , 2026 2026
Entropy analysis and multi-physics simulation of radiative hybrid nanofluid flow in variable finned cylinder embedded in octagonal enclosure AK Ray, A Kumar, P Sethy, A Kumari, A Bhattacharya, V Panwar, ... Journal of Thermal Analysis and Calorimetry 151 (1), 861-885 , 2026 2026
Magneto‐thermogravitational convective flow of hybrid nanomaterial within an enclosure subject to partially active side walls P Sethy, A Kumar, AK Ray, VK Chaurasiya, AN Dev, MA Sheremet ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte … , 2025 2025 Citations: 3
Lie symmetry reductions and exact solutions of (2+ 1)-dimensional Boiti–Leon–Manna–Pempinelli equation in shallow water R Kumar, DV Tanwar, SJ Singh, AK Ray Canadian Journal of Physics 103 (6), 550-558 , 2025 2025 Citations: 4
Electrically conducting micropolar fluid flow past a wedge embedded in porous media AK Ray, A Kumar, DV Tanwar, PK Mandal, PVSN Vasu, Murthy International Journal of Applied Nonlinear Science , 2025 2025
Heat transfer performance in a hybrid nanoliquid enclosure with a hot inner circular obstacle under Lorentz force effect P Sethy, A Kumar, AK Ray, VK Chaurasiya, A Kumari, MA Sheremet Journal of Thermal Analysis and Calorimetry 150 (1), 395-412 , 2025 2025 Citations: 5
Synergistic Impacts of Radiative Flow of Maxwell Fluid Past a Rotating Disk with Reactive Conditions: An Arrhenius model Analysis P Sethy, A Kumar, AK Ray, A Kumari, L Tlau Chinese Journal of Physics 89, 761-792 , 2024 2024 Citations: 15
Residual and computational time analysis of the boundary-layer flow AK Ray, B Vasu, A Kumar, DV Tanwar, D Chaturvedi, M Poonia Modeling and Simulation of Fluid Flow and Heat Transfer, 77-85 , 2024 2024
Mixed convection magnetohydrodynamic flow of hybrid nanofluid over a spinning sphere with nonlinear thermal radiation: Keller-Box approach A Kumar, P Sethy, AK Ray, A Kumari Numerical Heat Transfer, Part A: Applications 86 (7), 1983-2009 , 2023 2023 Citations: 14
Unsteady mixed convective flow of hybrid nanofluid past a rotating sphere with heat generation/absorption: an impact of shape factor A Kumar, AP Dash, AK Ray, P Sethy, I Kasireddy International Journal of Numerical Methods for Heat & Fluid Flow 33 (11 … , 2023 2023 Citations: 29
Flow of hybrid nanomaterial over a wedge: shape factor of nanoparticles impact A Kumar, AK Ray, S Saha, DV Tanwar, B Kumar, MA Sheremet The European Physical Journal Plus 138 (10), 901 , 2023 2023 Citations: 17
The Transportation of Maxwell Fluid in the Rotating and Stretching System: Rotor-Stator Spinning Disc Reactor Applications AS Negi, B Kumar, A Kumar, Prachi, A Singhal, A Ray, AJ Chamkha Journal of Nanofluids 12 (3), 623-632 , 2023 2023 Citations: 5
Convectional Flow Of Non-Newtonian Fluid Over The Surface With Cattaneo-Christov Model AK Ray, D Chaturvedi, M Poonia Proceedings of International Conference on Advances in Transport Phenomena … , 2023 2023
Convective flow of non-homogeneous fluid conveying nano-sized particles with non-Fourier thermal relaxation: application in polymer coating AK Ray, B Vasu, P Murthy, O Anwar Bég, RSR Gorla, B Kumar Arabian Journal for Science and Engineering 47 (5), 6559-6576 , 2022 2022 Citations: 13
Lie Symmetries and Dynamical Behavior of Soliton Solutions of KP-BBM Equation DV Tanwar, AK Ray, A Chauhan Qualitative Theory of Dynamical Systems 21, 24 , 2022 2022 Citations: 19
Flow of Electrically Conducting Williamson Fluid with Cattaneo-Christov heat flux due to Permeable Sheet AK Ray International Research Journal on Advanced Science Hub 2 (12), 17-22 , 2021 2021 Citations: 2
Novel Numerical Solution of Non-linear Heat Transfer of Nanofluid over a Porous Cylinder: Buongiorno-Forchheimer Model B Vasu, AK Ray Journal of Computational and Applied Research in Mechanical Engineering 10 … , 2021 2021 Citations: 3
Homotopy simulation of dissipative micropolar flow and heat transfer from a two-dimensional body with heat sink effect: applications in polymer coating OA Beg, B Vasu, AK Ray, TA Beg, A Kadir, HJ Leonard, RSR Gorla Chemical and Biochemical Engineering Quarterly 34 (4), 257-275 , 2020 2020 Citations: 24
Free convective heat transfer in Jeffrey fluid with suspended nanoparticles and Cattaneo–Christov heat flux B Vasu, AK Ray, RSR Gorla Proceedings of the Institution of Mechanical Engineers, Part N: Journal of … , 2020 2020 Citations: 15
MOST CITED SCHOLAR PUBLICATIONS
Magneto-bioconvection flow of a Casson thin film with nanoparticles over an unsteady stretching sheet: HAM and GDQ computation AK Ray, B Vasu, OA Beg, RSR Gorla, PVSN Murthy International Journal of Numerical Methods for Heat & Fluid Flow 29 (11 … , 2019 2019 Citations: 60
Non-similar solution of Eyring–Powell fluid flow and heat transfer with convective boundary condition: Homotopy Analysis Method AK Ray, B Vasu, P Murthy, RSR Gorla International Journal of Applied and Computational Mathematics 6 (1), 16 , 2020 2020 Citations: 39
Homotopy semi-numerical modeling of non-Newtonian nanofluid transport external to multiple geometries using a revised Buongiorno Model AK Ray, B Vasu, OA Bég, RSR Gorla, P Murthy Inventions 4 (4), 54 , 2019 2019 Citations: 35
Unsteady mixed convective flow of hybrid nanofluid past a rotating sphere with heat generation/absorption: an impact of shape factor A Kumar, AP Dash, AK Ray, P Sethy, I Kasireddy International Journal of Numerical Methods for Heat & Fluid Flow 33 (11 … , 2023 2023 Citations: 29
Numerical study of Carreau nanofluid flow past vertical plate with the Cattaneo–Christov heat flux model B Vasu, AK Ray International Journal of Numerical Methods for Heat & Fluid, https://doi.org … , 2018 2018 Citations: 27
Homotopy simulation of dissipative micropolar flow and heat transfer from a two-dimensional body with heat sink effect: applications in polymer coating OA Beg, B Vasu, AK Ray, TA Beg, A Kadir, HJ Leonard, RSR Gorla Chemical and Biochemical Engineering Quarterly 34 (4), 257-275 , 2020 2020 Citations: 24
Lie Symmetries and Dynamical Behavior of Soliton Solutions of KP-BBM Equation DV Tanwar, AK Ray, A Chauhan Qualitative Theory of Dynamical Systems 21, 24 , 2022 2022 Citations: 19
Flow of hybrid nanomaterial over a wedge: shape factor of nanoparticles impact A Kumar, AK Ray, S Saha, DV Tanwar, B Kumar, MA Sheremet The European Physical Journal Plus 138 (10), 901 , 2023 2023 Citations: 17
Synergistic Impacts of Radiative Flow of Maxwell Fluid Past a Rotating Disk with Reactive Conditions: An Arrhenius model Analysis P Sethy, A Kumar, AK Ray, A Kumari, L Tlau Chinese Journal of Physics 89, 761-792 , 2024 2024 Citations: 15
Free convective heat transfer in Jeffrey fluid with suspended nanoparticles and Cattaneo–Christov heat flux B Vasu, AK Ray, RSR Gorla Proceedings of the Institution of Mechanical Engineers, Part N: Journal of … , 2020 2020 Citations: 15
Mixed convection magnetohydrodynamic flow of hybrid nanofluid over a spinning sphere with nonlinear thermal radiation: Keller-Box approach A Kumar, P Sethy, AK Ray, A Kumari Numerical Heat Transfer, Part A: Applications 86 (7), 1983-2009 , 2023 2023 Citations: 14
Convective flow of non-homogeneous fluid conveying nano-sized particles with non-Fourier thermal relaxation: application in polymer coating AK Ray, B Vasu, P Murthy, O Anwar Bég, RSR Gorla, B Kumar Arabian Journal for Science and Engineering 47 (5), 6559-6576 , 2022 2022 Citations: 13
Homotopy simulation of non-Newtonian Spriggs fluid flow over a flat plate with oscillating motion AK Ray, B Vasu, RSR Gorla International Journal of Applied Mechanics and Engineering 24 (2) , 2019 2019 Citations: 12
Hydrodynamics of non-Newtonian Spriggs fluid flow past an impulsively moving plate AK Ray, B Vasu Applications of Fluid Dynamics: Proceedings of ICAFD 2016, 95-107 , 2017 2017 Citations: 9
Heat transfer performance in a hybrid nanoliquid enclosure with a hot inner circular obstacle under Lorentz force effect P Sethy, A Kumar, AK Ray, VK Chaurasiya, A Kumari, MA Sheremet Journal of Thermal Analysis and Calorimetry 150 (1), 395-412 , 2025 2025 Citations: 5
The Transportation of Maxwell Fluid in the Rotating and Stretching System: Rotor-Stator Spinning Disc Reactor Applications AS Negi, B Kumar, A Kumar, Prachi, A Singhal, A Ray, AJ Chamkha Journal of Nanofluids 12 (3), 623-632 , 2023 2023 Citations: 5
Influence of chemically radiative nanoparticles on flow of Maxwell electrically conducting fluid over a convectively heated exponential stretching sheet AK Ray, B Vasu World Journal of Engineering 16 (6), 791-805 , 2019 2019 Citations: 5
Lie symmetry reductions and exact solutions of (2+ 1)-dimensional Boiti–Leon–Manna–Pempinelli equation in shallow water R Kumar, DV Tanwar, SJ Singh, AK Ray Canadian Journal of Physics 103 (6), 550-558 , 2025 2025 Citations: 4
Magneto‐thermogravitational convective flow of hybrid nanomaterial within an enclosure subject to partially active side walls P Sethy, A Kumar, AK Ray, VK Chaurasiya, AN Dev, MA Sheremet ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte … , 2025 2025 Citations: 3
Novel Numerical Solution of Non-linear Heat Transfer of Nanofluid over a Porous Cylinder: Buongiorno-Forchheimer Model B Vasu, AK Ray Journal of Computational and Applied Research in Mechanical Engineering 10 … , 2021 2021 Citations: 3