Applied Mathematics, Fluid Flow and Transfer Processes, Computational Mathematics, Modeling and Simulation
23
Scopus Publications
470
Scholar Citations
10
Scholar h-index
10
Scholar i10-index
Scopus Publications
Magnetohydrodynamic hybrid blood nanofluid flow and heat transfer in a bifurcated stenosed artery with slip effects Kavya N. B., Nagendramma V. Physics of Fluids, 2026 Atherosclerosis is a chronic disease caused by the accumulation of plaques on arterial walls, leading to wall damage and narrowing of vessels that supply blood to body tissues. This paper provides a computational aspect for magnetohydrodynamic (MHD), slip, and no-slip hybrid nanofluid flow through a stenosed bifurcated artery. A hybrid nanofluid containing iron oxide and gold nanoparticles suspended in blood is developed to analyze the influence of an externally generated transverse magnetic field on flow regulation. The nonlinear partial differential equations of the model are solved by employing the Galerkin finite element method, which is implemented in COMSOL Multiphysics. The impacts of magnetic field strength, slip and no-slip boundary constraints, and nanoparticle concentration affect velocity, pressure, and thermal distributions. The results indicate that the presence of magnetic field suppresses velocity fluctuations and stabilizes flow, while the hybrid nanoparticles enhance heat transfer and promote smoother uniform velocity profiles. This slip boundary condition significantly reduces wall shear stress compared with the no-slip constraint and allows for more physiologically realistic flow. With respect to the MHD and hybrid nanoparticles, the recirculation zones are further suppressed, resulting in the recovery of flow symmetry. Biomedical applications of gold and iron oxide nanoparticles are categorized into three main areas: targeted drug delivery field, localized hyperthermia, and improved therapy for arterial diseases such as atherosclerosis and thrombosis.
Mathematical Modeling of Heat Transfer Phenomena in Darcy Porous Media with Couple-Stress Magnetic Fluid under Maxwell-Cattaneo Model B. R. Nagasmitha, V. Nagendramma, Naseer Ahmed, S. Marutamanikandan, Gundagani Murali Journal of Mines Metals and Fuels, 2025 This study employs classical stability analysis to investigate the combined influence of couple stress and second sound on the onset of ferroconvection within a densely packed porous medium. A generalized Darcy model, incorporating couple stress effects, is integrated into the momentum equation. Simultaneously, the Cattaneo heat flux model governs solid-phase heat transfer, while fluid-phase heat transfer adheres to Fourier's law under the assumption of local thermal equilibrium. Through normal mode analysis, subject to appropriate boundary conditions, critical values for both stationary and oscillatory instabilities are determined. The Cattaneo effect is shown to promote oscillatory convection as the dominant instability mode. Our findings indicate that magnetic forces, magnetization nonlinearity, the Vadasz number, and the inclusion of second sound all accelerate the onset of oscillatory ferroconvection. Conversely, couple stress exhibits a delaying effect on this onset. Furthermore, the analysis extends to examining the impact of various parameters on the resulting convection cell size and oscillation frequency. Major Findings: The study reveals that magnetic forces, magnetization nonlinearity, Vadasz number, and second sound accelerate the onset of oscillatory ferroconvection, while couple stress delays it. The analysis also examines the impact of parameters on convection cell size and oscillation frequency.
Analytical Study of Nonlinear Behavior and Convection Patterns in Darcy-Brinkman Porous Medium with Maxwell-Cattaneo Ferroconvection B. R. Nagasmitha, V. Nagendramma, Naseer Ahmed, S. Marutamanikandan, G. Murali Journal of Mines Metals and Fuels, 2025 This study investigates the onset of ferroconvection in a porous medium, considering the combined effects of second sound and couple stress using classical stability analysis. We assume local thermal equilibrium between the fluid and solid matrix. Employing normal mode analysis with appropriate boundary conditions, we determine critical values for both stationary and oscillatory instabilities. Results indicate that oscillatory instability supersedes the stationary mode. This oscillatory porous media ferroconvection arises from the interplay of magnetization nonlinearity, second sound, and magnetic forces. The analysis further explores the influence of various parameters on the oscillation frequency and convective cell size. This research significantly advances our understanding of ferrofluid applications in coupled stress environments. The findings contribute substantially to technological advancements leveraging the unique rheological properties of ferrofluids under applied stress. A comprehensive understanding of the interplay between magnetic fields and stress-induced behavior in ferrofluids is crucial for optimizing their performance in engineering applications. This study, therefore, provides valuable insights for developing and refining technologies reliant on the controlled manipulation of magnetic fluids under coupled stress fields. The implications are far-reaching, impacting diverse fields such as advanced damping systems, microfluidic devices, and targeted drug delivery. Major Findings: The research enhances understanding of ferrofluid applications in coupled stress environments, contributing to technological advancements in engineering applications. It provides insights for developing and refining technologies involving controlled magnetic fluid manipulation under coupled stress fields.
MHD Flow of Burgers’ Fluid with Nanoparticles V. Nagendramma Nanofluid Heat Transfer, 2025 In this research, we explore the steady-state magnetohydrodynamic (MHD) flow of a Burgers’ fluid moving over a stretching cylinder, incorporating the impacts of nanoparticle distribution. The study relies on the Buongiorno model, which considers the combined effects of Brownian movement and thermophoresis. By applying suitable similarity transformations, the governing equations derived from the continuity, momentum, and energy equations are converted into a nonlinear ordinary differential equation system. These equations are then solved through numerical methods to examine how key factors such as the magnetic field, Brownian motion, thermophoresis, and stretching rate affect the velocity and temperature profiles of the fluid. The findings underscore nanoparticle parameters’ notable impact on fluid flow characteristics, offering valuable insights for enhancing heat transfer in industrial processes involving Burgers’ fluids. The findings contribute to a better understanding of the complex interactions in MHD flows with nanoparticles, offering potential advancements in the design of systems where such fluid dynamics are relevant.
Arrhenius Kinetics in Ternary Hybrid Nanofluid Flow V. Nagendramma, S. Kavya Nanofluid Heat Transfer, 2025 The present paper flashes on the magnetohydrodynamics (MHD) flow of aluminum oxide, silver, and copper composed of trihybrid nanoelement combination in suspension of blood as its host fluid along a stretching cylinder by considering activation energy with or without boundary layer slip effects. The governing partial differential equations (PDEs) of the problem are transfigured into system of ordinary differential equations (ODEs) by incorporating appropriate similarity variables. Numerical computation is achieved by the help of bvp4c in MATLAB along with shooting method, and the outcomes are thoroughly displayed through figures to know the impact of distinct physical parameters such as magnetic field factor, curvature parameter, Williamson parameter, heat generation parameter, thermal conductivity factor, thermal radiation parameter, viscous dissipation factor, Schmidt number, reaction rate number, activation energy parameter, and relative temperature ratio parameter on the rate of fluid flow, temperature, and concentration fields of the Williamson fluid. The graphical pictures clearly represent the impact of slip effects (with/without) on the fluid flow. Python Matplotlib is used for plotting bar graphs for the changes in coefficient of skin friction, Nusselt number, and Sherwood number by varying several physical constraints. The outcome of the current study is complemented with previous works and attained a good agreement.
Dynamical steady Carreau fluid with heat generation and porosity effect in a suspension of hybrid solid and dust particles H. B. Santhosh, M. Ramesha, V. Nagendramma, Kiran Sajjan, C. S. K. Raju, Mahesha Numerical Heat Transfer Part B Fundamentals, 2025 Hybrid nanofluid is a superior working fluid that is considered as appropriate for variety of applications, including machine cutting, engine applications, automobile cooling, photovoltaic thermal management, electronic component thermal management, and solar collectors. With the motivation these application, magneto hydrodynamic Carreau fluid is explored in this study when graphene and titanium hybrid nanoparticles with heat generation and porosity are taken into account. Titanium alloy nanoparticles combined with base water are used to simulate the process. Titanium is utilized in the military and aerospace because it is strong and lightweight. It is also employed in biology as an anti-microbial, anti-biotic, and anti-fungal agent. The ensuing collection of governing equations (P.D.E.) is changed into an assortment of O.D.E. with the use of an appropriate similarity transformation. This O.D.E. is then solved by implementing the Runge-Kutta shooting method. Graphs have been used to study variation behavior accurately. Local Nusselt number and Friction factor were examined for different kinds of physical factors. We concluded after the debate that, the influence of porosity or heat generating parameter improves temperature profile. When porosity effect is applied, velocity profile is reduced, and temperature profile is increased by amplifying porosity effect.
Thermal characteristics for the flow of Williamson hybrid nanofluid with distinct shape factors S. Kavya, V. Nagendramma ZAMM Zeitschrift Fur Angewandte Mathematik Und Mechanik, 2024 The main purpose of the present article is to investigate the flow of 2‐D, incompressible, steady, hydro magnetic Williamson hybrid nanofluid with three distinct shape factors namely spherical, cylindrical, and platelet shapes under the influence of thermal radiation and viscous dissipation effects on the flow. The aim of the current work is to investigate the thermal conduction capacity of three different shaped nanoparticles by comparison. We have modelled copper and molybdenum disulfide nanoparticles suspension in Williamson fluid blood as a conventional real fluid passing through a horizontal stretching cylinder in this case. A set of non‐linear PDEs are used to conceivably formulate the problem's physical model. The transformation from these modelled PDEs to ODEs is accomplished through the use of appropriate similarity variables. To address the problem, the RK method of order four is used in conjunction with shooting system in order to get first order ordinary equations from non‐linear higher order ordinary differential equations. To run the code for numerical results, computational Matlab bvp4c solver is used and graphs are depicted to explain the impact of various embedded physical quantities on the momentum and energy profiles accompanying the rates of shear stress and heat transfer for the considered Williamson hybrid nanofluid. The use of spherical shaped nanoparticles is thought to improve the thermal conductivity rate of the flowing fluid more than cylinder and platelet shaped nanoparticles. The skin friction coefficient is enhancing for larger values of magnetic parameter and curvature parameter but Weissenberg number has a negative trend. The rate of cooling is high for greater values of magnetic parameter, Williamson fluid parameter, heat generation parameter, thermal conduction parameter, viscous dissipation parameter and thermal radiation parameter.
Dynamics of unsteady Carreau fluid in a suspension of dust and hybrid solid particles with non-Fourier and Fourier fluxes Santhosh H. B, V. Nagendramma, P. Durgaprasad, S. U. Mamatha, C. S. K Raju, K. Vijaya Bhaskar Raju International Journal of Modern Physics B, 2023 The use of heat transfers in heat exchangers, nuclear cooling, solar collectors, and electrical devices is crucial nowadays. Hybrid nanofluid can be used in these applications to get the best results because it encourages efficient heat transmission compared to conventional fluid. The effect of radiation and an unsteady Carreau hybrid fluid in addition to non-Fourier heat flux over a shrinking sheet is discussed in this paper. Using similarity transformations, the newly developed system of partial differential equations (PDEs) is converted into a set of ordinary differential equations (ODEs), that are next numerically addressed by utilizing shooting approach and the Runge–Kutta (RK) method. Tables and graphs are used to present utilizing the computational findings for nondimensional temperature, velocity, heat transfer rate, and friction between fluid and hybrid nanoparticles. Additionally, for certain physical factors, the physical quantities in numerical values were also presented (such as the friction factor and local Nusselt number). We made a restricted case comparison between the current findings and the body of prior research. Our finding confirms that the temperature profile is strengthened by the heat generation parameter and the effect of radiation. The porosity parameter decelerates the momentum boundary layer thickness near the plate.
Linear regression of triple diffusive and dual slip flow using Lie Group transformation with and without hydro-magnetic flow T. Mahesh Kumar, Nehad Ali Shah, V. Nagendramma, P. Durgaprasad, Narsu Sivakumar, et al. Aims Mathematics, 2023 This study examines the flow of an incompressible flow over a linear stretching surface with the inclusion of momentum and thermal slip conditions. A scaling set of alterations is applied to the governing system for both with and without magnetic field situations. The physical system being leftover invariant caused by some associations surrounded by the transformations. Later we find the absolute invariants 3rd -order ODEs for the linear momentum equation and two 2nd order ODEs consistent with the energy and concentration are obtained. The equations that coincide with the boundary circumstances are elucidated mathematically. The physical pertinent parameters as shown in graphs and the friction factor, Nusselt number and Salts 1 and 2 Sherwood numbers are shown in surface plots. We observed that the momentum slip parameter decelerates the skin friction coefficient in the presence of a magnetic field and enhances in the absence of the magnetic field parameter. The thermal slip parameter enhances the Nusselt number in both the presence and absence of magnetic field parameter. Finally, the thermal and concentration buoyancy ratio parameters are shown to upsurge the friction factor, Nusselt and Salts 1 and 2 Sherwood numbers in both cases of M=0 and M=1.
Arrhenius Kinetics in Ternary Hybrid Nanofluid Flow V Nagendramma, S Kavya Nanofluid Heat Transfer, 149-178 , 2025 2025
MHD Flow of Burgers’ Fluid with Nanoparticles V Nagendramma Nanofluid Heat Transfer, 201-227 , 2025 2025
Dynamical steady Carreau fluid with heat generation and porosity effect in a suspension of hybrid solid and dust particles HB Santhosh, M Ramesha, V Nagendramma, K Sajjan, CSK Raju, ... Numerical Heat Transfer, Part B: Fundamentals 86 (8), 2548-2566 , 2025 2025 Citations: 1
Mathematical Modeling of Heat Transfer Phenomena in Darcy Porous Media with Couple-Stress Magnetic Fluid under Maxwell-Cattaneo Model. BR Nagasmitha, V Nagendramma, N Ahmed, S Marutamanikandan, ... Journal of Mines, Metals & Fuels 73 (2) , 2025 2025 Citations: 5
Analytical Study of Nonlinear Behavior and Convection Patterns in Darcy-Brinkman Porous Medium with Maxwell-Cattaneo Ferroconvection. BR Nagasmitha, V Nagendramma, N Ahmed, S Marutamanikandan, ... Journal of Mines, Metals & Fuels 73 (2) , 2025 2025 Citations: 16
Thermal characteristics for the flow of Williamson hybrid nanofluid with distinct shape factors S Kavya, V Nagendramma ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte … , 2024 2024 Citations: 4
Dynamics of unsteady Carreau fluid in a suspension of dust and hybrid solid particles with non-Fourier and Fourier fluxes S H. B, V Nagendramma, P Durgaprasad, SU Mamatha, CSK Raju, ... International Journal of Modern Physics B 37 (29), 2350251 , 2023 2023 Citations: 5
Opposing and Assisting Flow of a Hybrid Newtonian/Non-Newtonian Nanofluid Past a Stretching Cylinder. S Kavya, V Nagendramma Journal of Mines, Metals & Fuels 71 (8) , 2023 2023 Citations: 4
Linear regression of triple diffusive and dual slip flow using Lie Group transformation with and without hydro-magnetic flow TM Kumar, NA Shah, V Nagendramma, P Durgaprasad, N Sivakumar, ... Aims Mathematics 8 (3), 5950-5979 , 2023 2023 Citations: 8
Dynamics of triple diffusive free convective MHD fluid flow: Lie group transformation V Nagendramma, P Durgaprasad, N Sivakumar, BM Rao, CSK Raju, ... Mathematics 10 (14), 2456 , 2022 2022 Citations: 19
Magnetic-hybrid nanoparticles with stretching/shrinking cylinder in a suspension of MoS4 and copper nanoparticles S Kavya, V Nagendramma, NA Ahammad, S Ahmad, CSK Raju, NA Shah International Communications in Heat and Mass Transfer 136, 106150 , 2022 2022 Citations: 88
Magnetohydrodynamic chemically reactive Sisko liquid flow through a stretching surface with nonlinear thermal radiation V Nagendramma Journal of Physics: Conference Series 1597 (1), 012037 , 2020 2020 Citations: 2
Magnetohydrodynamics boundary layer slip Casson fluid flow over a dissipated stretched cylinder MK Murthy, CSK Raju, V Nagendramma, SA Shehzad, AJ Chamkha Defect and Diffusion Forum 393, 73-82 , 2019 2019 Citations: 35
Doubly stratified MHD tangent hyperbolic nanofluid flow due to permeable stretched cylinder V Nagendramma, A Leelarathnam, CSK Raju, SA Shehzad, T Hussain Results in Physics 9, 23-32 , 2018 2018 Citations: 62
3D Casson nanofluid flow over slendering surface in a suspension of gyrotactic microorganisms with Cattaneo-Christov heat flux V Nagendramma, CSK Raju, B Mallikarjuna, SA Shehzad, ... Applied Mathematics and Mechanics 39 (5), 623-638 , 2018 2018 Citations: 51
Convective conditions on magnetohydrodynamic flow over stretched cylinder with time and space dependent heat source or sink BM Rao, V Nagendramma, CSK Raju, A Leelaratnam, P Prakash space 4, 5 , 2017 2017
Unsteady flow of Heat and Mass transfer in Viscoelastic fluid over a stretching sheet with the effect of chemical reaction A Haritha, V Nagendramma, A Leelaratnam Research Journal of Science and Technology 9 (4), 619-625 , 2017 2017
Effects of Cattaneo-Christov Heat Flux on Casson Nanofluid Flow Past a Stretching Cylinder AL O.D. Makinde , V. Nagendramma , C.S.K. Raju Defect and Diffusion Forum 378, 28-38 , 2017 2017 Citations: 49
The influence of EMHD on boundary layer nanofluid stagnation flow over a stretching sheet C Nagalakshmi, V Nagendramma, A Leelaratnam Research Journal of Science and Technology 9 (3), 461-466 , 2017 2017 Citations: 1
MHD boundary layer slip flow of a Casson nanofluid through a porous medium over a stretching cylinder with dissipation and suction/blowing V Nagendramma, A Leelaratnam Journal of Nanofluids 6 (3), 410-419 , 2017 2017 Citations: 4
MOST CITED SCHOLAR PUBLICATIONS
Magnetic-hybrid nanoparticles with stretching/shrinking cylinder in a suspension of MoS4 and copper nanoparticles S Kavya, V Nagendramma, NA Ahammad, S Ahmad, CSK Raju, NA Shah International Communications in Heat and Mass Transfer 136, 106150 , 2022 2022 Citations: 88
Doubly stratified MHD tangent hyperbolic nanofluid flow due to permeable stretched cylinder V Nagendramma, A Leelarathnam, CSK Raju, SA Shehzad, T Hussain Results in Physics 9, 23-32 , 2018 2018 Citations: 62
3D Casson nanofluid flow over slendering surface in a suspension of gyrotactic microorganisms with Cattaneo-Christov heat flux V Nagendramma, CSK Raju, B Mallikarjuna, SA Shehzad, ... Applied Mathematics and Mechanics 39 (5), 623-638 , 2018 2018 Citations: 51
Effects of Cattaneo-Christov Heat Flux on Casson Nanofluid Flow Past a Stretching Cylinder AL O.D. Makinde , V. Nagendramma , C.S.K. Raju Defect and Diffusion Forum 378, 28-38 , 2017 2017 Citations: 49
Magnetohydrodynamics boundary layer slip Casson fluid flow over a dissipated stretched cylinder MK Murthy, CSK Raju, V Nagendramma, SA Shehzad, AJ Chamkha Defect and Diffusion Forum 393, 73-82 , 2019 2019 Citations: 35
MHD Heat And Mass Transfer Flow over a Stretching Wedge with Convective Boundary Condition and Thermophoresis SG NagendrammaV,Sreelakshmi K Procedia Engineering 127, 963 – 969 , 2015 2015 Citations: 35
Multiple slips and radiation effects on Maxwell nanofluid flow over a permeable stretching surface with dissipation V Nagendramma, RK Kumar, PD Prasad, A Leelaratnam, SVK Varma Journal of nanofluids 5 (6), 817-825 , 2016 2016 Citations: 24
Dynamics of triple diffusive free convective MHD fluid flow: Lie group transformation V Nagendramma, P Durgaprasad, N Sivakumar, BM Rao, CSK Raju, ... Mathematics 10 (14), 2456 , 2022 2022 Citations: 19
Analytical Study of Nonlinear Behavior and Convection Patterns in Darcy-Brinkman Porous Medium with Maxwell-Cattaneo Ferroconvection. BR Nagasmitha, V Nagendramma, N Ahmed, S Marutamanikandan, ... Journal of Mines, Metals & Fuels 73 (2) , 2025 2025 Citations: 16
Study of Thermophoresis on the MHD Flow Due to an Exponentially Stretching Sheet in the Presence of Viscous Dissipation SG Krishna Jyothi P, Sreelakshmi K, Nagendramma V Procedia Engineering 127, 340-346 , 2015 2015 Citations: 10
Unsteady Boundary Layer Flow Induced by a Stretching Sheet in a Rotating Fluid with Thermal Radiation SG Sreelakshmi K, Nagendramma V Procedia Engineering 127, 678 – 685 , 2015 2015 Citations: 9
Linear regression of triple diffusive and dual slip flow using Lie Group transformation with and without hydro-magnetic flow TM Kumar, NA Shah, V Nagendramma, P Durgaprasad, N Sivakumar, ... Aims Mathematics 8 (3), 5950-5979 , 2023 2023 Citations: 8
Effects of Hall Currents on the Boundary Layer Flow Induced by an Exponentially Stretching Surface SG Nagalakshmi Ch, Nagendramma V, Sreelakshmi K Procedia Engineering 127, 440-446 , 2015 2015 Citations: 8
INFLUENCE OF HALL CURRENTS ON CROSS DIFFUSIVE CONVECTION IN A MHD BOUNDARY LAYER FLOW ON STRETCHING SHEET IN POROUS MEDIUM WITH HEAT GENERATION SMVN G. Sarojamma International Journal of Mathematical Archive 6 (3), 227-248 , 2015 2015 Citations: 7
Cattaneo–Christov heat flux model for Sakiadis flow of MHD Carreau fluid V Nagendramma, CSK Raju, AL Ratnam Int J Res Sci Eng, 108-117 , 2017 2017 Citations: 6
Mathematical Modeling of Heat Transfer Phenomena in Darcy Porous Media with Couple-Stress Magnetic Fluid under Maxwell-Cattaneo Model. BR Nagasmitha, V Nagendramma, N Ahmed, S Marutamanikandan, ... Journal of Mines, Metals & Fuels 73 (2) , 2025 2025 Citations: 5
Dynamics of unsteady Carreau fluid in a suspension of dust and hybrid solid particles with non-Fourier and Fourier fluxes S H. B, V Nagendramma, P Durgaprasad, SU Mamatha, CSK Raju, ... International Journal of Modern Physics B 37 (29), 2350251 , 2023 2023 Citations: 5
Thermal characteristics for the flow of Williamson hybrid nanofluid with distinct shape factors S Kavya, V Nagendramma ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte … , 2024 2024 Citations: 4
Opposing and Assisting Flow of a Hybrid Newtonian/Non-Newtonian Nanofluid Past a Stretching Cylinder. S Kavya, V Nagendramma Journal of Mines, Metals & Fuels 71 (8) , 2023 2023 Citations: 4
MHD boundary layer slip flow of a Casson nanofluid through a porous medium over a stretching cylinder with dissipation and suction/blowing V Nagendramma, A Leelaratnam Journal of Nanofluids 6 (3), 410-419 , 2017 2017 Citations: 4