Mixed Convective Flow in Porous Matrices With Heat Generation/Absorption Shreedevi Kalyan, Hussein Abdallah Soliman, Narayanappa Manjunatha Heat Transfer, 2026 This study presents an in‐depth analysis of mixed convection flow through a porous medium incorporating the effects of internal heat generation and heat absorption. The novelty of this study lies in the combined evaluation of localized heat sources, chemical reactivity, and magnetohydrodynamic (MHD) influences within a single porous configuration—an approach rarely addressed collectively in prior work. The governing equations, expressed as nonlinear, dimensionless ordinary differential forms, are solved using the regular perturbation method. The results reveal the combined influence of these factors on velocity, temperature, and concentration profiles, offering insights applicable to engineering applications such as advanced cooling systems, filtration processes, fuel cell design, and biomedical devices like blood purification units.
Influence of Local Thermal Nonequilibrium and Thermal Gradients on Magneto-Darcy-Rayleigh-Bénard Convective Stability With Heat Generation Manjunatha Narayanappa, Varalakshmi K. Balaji, Lakshminarayana Munirathnam, Sumithra Ramakrishna Heat Transfer, 2025 In this study, we employ a standard perturbation technique to analyze the onset of Rayleigh‐Bénard convection in a horizontally oriented, electrically conductive fluid layer overlying a porous substrate. The system is bounded laterally by rigid, adiabatic walls and subjected to internal heat generation, a uniform vertical magnetic field, and local thermal nonequilibrium (LTNE) conditions. The analysis is conducted within the Darcy regime and incorporates various temperature gradient (TG) profiles. We investigate how different TG configurations influence the onset of convection, particularly under thermally adiabatic boundary conditions at the upper and lower surfaces. Critical Rayleigh numbers are determined by solving the corresponding eigenvalue problem for configurations with both rigid‐bottom/free‐top boundaries, incorporating surface tension‐driven velocity boundary conditions. The study further examines the effects of parameters such as the modified porosity ratio, thermal diffusivity ratio, and heat source intensity, emphasizing their role in promoting LTNE under six distinct TG models. Perturbation analysis reveals that maximum convective activity occurs at the mid‐plane for the inverted parabolic (Model‐3) and Dirac delta (Model‐6) temperature gradients. Magneto‐convective behavior under LTNE is visualized in the presence of a vertical magnetic field and volumetric heat generation, providing insights into the thermal system's behavior under complex boundary and gradient conditions. The results align well with existing literature, supporting their relevance to thermal management in energy systems, biomedical devices, aerospace structures, electronic cooling, and geophysical processes.
Power Law Fluid Gravity Fluctuations on Dual Component Convection in a Porous Channel in Presence of Throughflow Gangadharaiah Y H, Manjunatha N, Nagarathnamma H Iraqi Journal of Science, 2025 This study investigates the instability of power-law fluids in a porous channel, emphasizing dual component convection influenced by gravity variations and vertical throughflow. A single-term Galerkin approximation is employed to derive critical Rayleigh numbers and neutral stability curves. The findings reveal that the power-law index tends to destabilize the system, affecting the neutral stability curves, while buoyancy forces contribute to enhancing stability. The role of gravity variations is highlighted as a critical factor, with exponential-type fluctuations proving more effective at achieving stability compared to linear-type fluctuations. Overall, the study emphasizes that key parameters, including the power-law index, buoyancy force, and gravity variations, have a substantial impact on the system's stability characteristics.
EFFECTS OF HEAT SOURCE/SINK ON DARCIAN-BE‘NARD-MAGNETO-MARANGONI CONVECTIVE INSTABILITY IN A COMPOSITE LAYER SUBJECTED TO NONUNIFORM TEMPERATURE GRADIENTS Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, 2022
Effects of non-uniform temperature gradients on surface tension driven two component magnetoconvection in a porousfluid system Arpn Journal of Engineering and Applied Sciences, 2018
RECENT SCHOLAR PUBLICATIONS
Nanoparticle shape effects on MHD radiative hybrid nanofluid flow over a rotating cone with quadratic chemical reaction V Shobha, P Baskar, SVK Varma, N Manjunatha, K Al-Farhany Next Nanotechnology 9, 100457 , 2026 2026
Analytical approach to tuning of piezoelectric energy harvester tapered beam with shape memory alloy R Shwetha, GK Kalavathi, MG Vasundhara, K Al-Farhany, N Manjunatha Next Energy 12 , 2026 2026
Stability of Convection in Anisotropic PorousMedia: Influence of Throughflow and NonUniform Gravitational Fields Under Local Thermal Non-Equilibrium YH Gangadharaiah, ABM Ali, N Manjunatha, H Nagarathnamma, ... Microgravity Science and Technology 38 (1), 4 , 2025 2025 Citations: 1
Effects of Temperature-Dependent Viscosity on Double-Diffusive Convection in a Fluid Layer YH Gangadharaiah, N Manjunatha, N Patil, A Kedia, DRS Rekha, ... International Journal of Applied and Computational Mathematics 11, 254 , 2025 2025
Magneto–thermal convective flow in fluid–porous region with heat source/sink effects: analytical study N Manjunatha, SJ Mahendra, YH Gangadharaiah, B Almarri Ain Shams Engineering Journal 16 (12), 103820 , 2025 2025
Impacts of Heat Generation and Thermal Profiles on Dual Component Darcy-Rayleigh-Bénard Convective Instability: LTE and LTNE Comparison Study N Manjunatha Thermal Advances, 100087 , 2025 2025
Power Law Fluid Gravity Fluctuations on Dual Component Convection in a Porous Channel in Presence of Throughflow YH Gangadharaiah, N Manjunatha, H Nagarathnamma Iraqi Journal of Science 66 (11), 5136-5148 , 2025 2025
Impacts of Heat Generation and Thermal Profiles on Dual Component Darcy-Rayleigh-Bénard Convective Instability: LTE and LTNE Comparison Study M N Thermal Advances, 100087 , 2025 2025
Numerical computation of viscous shear on a finite journal bearing with heterogeneous surfaces using roughness phenomenon M Somashekhar, GK Kalavathi, MG Vasundhara, PA Dinesh, ... Multiscale and Multidisciplinary Modeling, Experiments and Design 8 (10), 421 , 2025 2025 Citations: 1
Convective stability in porous structures for energy and biosensing applications using viscosity-driven flow control and couple-stress fluid YH Gangadharaiah, V Kumar, N Manjunatha, H Nagarathnamma, ... Case Studies in Thermal Engineering, 107189 , 2025 2025 Citations: 1
Mixed Convective Flow in Porous Matrices with Heat Generation/Absorption S Kalyan, HA Soliman, N Manjunatha Heat Transfer , 2025 2025
Influence of Local Thermal Nonequilibrium and Thermal Gradients on Magneto‐Darcy‐Rayleigh‐Bénard Convective Stability With Heat Generation N Manjunatha, VK Balaji, L Munirathnam, S Ramakrishna Heat Transfer 54, 5260–5275 , 2025 2025
Stabilizing mechanisms in couple-stress porous media: roles of throughflow and gravity variation YH Gangadharaiah, V Mamatha, N Manjunatha, H Nagarathnamma, ... Multiscale and Multidisciplinary Modeling, Experiments and Design 8 (9), 395 , 2025 2025 Citations: 2
Influence of internal heat source on penetrative convection in a dual-component hybrid nanofluid layer YH Gangadharaiah, N Manjunatha, MG Reddy, MA Alghafli, I Ayoob, ... Results in Engineering 27, 105913 , 2025 2025 Citations: 1
Temperature gradient and heat source/sink impacts on triple-diffusive surface-tension-driven convection N Manjunatha, V Kumar, S Ramakrishna, T Abdeljawad, N Mlaiki Case Studies in Thermal Engineering 73, 106531 , 2025 2025
The onset of Magneto–Darcy–Rayleigh–Bénard convection under local thermal non-equilibrium with two-layer system R Sumithra, S Venkatraman, H Aldeeb, N Patil, S Singh, N Manjunatha, ... Modern Physics Letters B 39 (22), 2550067 , 2025 2025 Citations: 5
The onset of Jeffreys fluid porous convection with throughflow in the presence of a heat source and electric field YH Gangadharaih, N Manjunatha, H Nagarathnamma Modern Physics Letters B 39 (21), 2550072 , 2025 2025 Citations: 1
Thermal instabilities with local thermal non-equilibrium and heat generation: Two-layer configuration KB Varalakshmi, N Manjunatha AI Thermal Fluids, 100012 , 2025 2025
Radiation effects on rotating system free convective nanofluid unsteady flow with heat source and magnetic field N Manjunatha, MG Reddy, A Aloqaily, S Aljohani, AR Reddy, F Ali, ... Partial Differential Equations in Applied Mathematics 13, 101083 , 2025 2025 Citations: 16
Onset of Thermal Convection in a Composite Porous-Air-Porous Layer System YH Gangadharaiah, R Saadeh, N Manjunatha, MK Ranganathaswamy, ... Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 129 (2 … , 2025 2025
MOST CITED SCHOLAR PUBLICATIONS
Darcy–Brinkman Double Diffusive Convection in an Anisotropic Porous Layer with Gravity Fluctuation and Throughflow Gangadharaiah Yeliyur Honnappa, Manjunatha Narayanappa, ... Mathematics 11 (6), 1287 , 2023 2023 Citations: 22
Radiation effects on rotating system free convective nanofluid unsteady flow with heat source and magnetic field N Manjunatha, MG Reddy, A Aloqaily, S Aljohani, AR Reddy, F Ali, ... Partial Differential Equations in Applied Mathematics 13, 101083 , 2025 2025 Citations: 16
Effect of constant heat source/sink on single component Marangoni convection in a composite layer bounded by adiabatic boundaries in presence of uniform & non uniform … R Sumithra, RK Vanishree, N Manjunatha Malaya Journal of Matematik 8 (2), 306-313 , 2020 2020 Citations: 15
Darcy-Benard double diffusive Marangoni convection in a composite layer system with constant heat source along with nonuniform temperature gradients N Manjunatha, R Sumithra, RK Vanishree Malaysian journal of Fundamental and Applied Sciences 17 (01), 7-15 , 2021 2021 Citations: 14
Triple diffusive marangoni convection in a fluid-porous structure: Effects of a vertical magnetic field and temperature profiles Yellamma, N Manjunatha, A Abdulrahman, U Khan, R Sumithra, HS Gill, ... Case Studies in Thermal Engineering 43 , 2023 2023 Citations: 13
The Impact of Heat Source and Temperature Gradient on Brinkman–Bènard Triple-Diffusive Magneto-Marangoni Convection in a Two-Layer System Yellamma, N Manjunatha, U Ramalingam, B Almarri, S Ramakrishna, ... Symmetry , 2023 2023 Citations: 13
Influence of constant heat source/sink on non-Darcian-Bènard double diffusive Marangoni convection in a composite layer system N Manjunatha, R Sumithra, RK Vanishree Journal of applied mathematics & informatics 40 (1-2), 99-115 , 2022 2022 Citations: 13
Influence of Temperature Gradients and Heat Source in a Combined Layer on Double Component‐Magneto‐Marangoni‐Convection N Manjunatha, R Sumithra, N Alessa, K Loganathan, C Selvamani, ... Journal of Mathematics 2023 (1), 1537674 , 2023 2023 Citations: 12
Analysis of the LTNE and LTE system with thermal gradients and a heat source in a fluid layer overlying on porous layer KB Varalakshmi, N Manjunatha, R Sumithra, YH Gangadharaiah, ... Journal of Thermal Analysis and Calorimetry , 2024 2024 Citations: 11
Effects of LTNE on Two-Component Convective Instability in a Composite System with Thermal Gradient and Heat Source KB Varalakshmi, N Manjunatha, R Udhayakumar, G AlNemer, R Sumithra, ... Mathematics 11 (20), 4282 , 2023 2023 Citations: 11
Roles and impacts of heat source/sink and magnetic field on non-Darcy three-component Marangoni convection in a two-layer structure N Manjunatha, Yellamma, R Sumithra, KM Yogeesha, R Kumar, ... International Journal of Modern Physics B 37 (19), 2350186 , 2023 2023 Citations: 11
Non-Darcian-Bènard double diffusive magneto-Marangoni convection in a two layer system with constant heat source/sink N Manjunatha, R Sumithra Iraqi journal of science 62 (11), 4039-4055 , 2021 2021 Citations: 11
The impact of the heat source/sink on triple component magneto-convection in superposed porous and fluid system N Manjunatha, Yellamma, R Sumithra, A Verma, RJP Gowda, J Madhu Modern Physics Letters B , 2023 2023 Citations: 10
Effects of Heat Source/ Sink and non uniform temperature gradients on Darcian-Bènard-Magneto-Marangoni convection in composite layer horizontally enclosed by adiabatic boundaries N Manjunatha, R Sumithra Malaya journal of Matematik 8 (2), 373-382 , 2020 2020 Citations: 10
Effects of Non-uniform Temperature Gradients on Triple Diffusive Surface Tension Driven Magneto Convection in a Composite Layer N Manjunatha, R Sumithra Universal Journal of Mechanical Engineering 7 (6), 398-410 , 2019 2019 Citations: 10
Analytical study of surface tension driven magneto convection in a composite layer bounded by adiabatic boundaries R Sumithra, N Manjunatha International Journal of Engineering and Innovative Technology (IJEIT) 1 (6 … , 2012 2012 Citations: 10
Combined effects of nonuniform temperature gradients and heat source on double diffusive Bènard-Marangoni convection in a porous-fluid system in the presence of vertical … N Manjunatha, R Sumithra, RK Vanishree International journal of Thermofluid Science and Technology 8 (1), paper no … , 2021 2021 Citations: 9
Impact of Local Thermal Non‐Equilibrium and Gravity Fluctuations on the Onset of a Darcy‐Brinkman Porous Convection YH Gangadharaiah, N Manjunatha, H Nagarathnamma, R Udhayakumar Contemporary Mathematics 5 (1), 1110-1121 , 2024 2024 Citations: 8
Onset of triple-diffusive convective stability in the presence of a heat source and temperature gradients: An exact method Yellamma, N Manjunatha, U Khan, S Elattar, SM Eldin, JS Chohan, ... AIMS Mathematics 8 (6), 13432−13453 , 2023 2023 Citations: 8
Effects of heat source/sink on Darcian-Bènard-Magneto-Marangoni convection in a composite layer subjected to non-uniform temperature gradients N Manjunatha, R Sumithra TWMS J. Appl. Eng. Math 12 (3), 669-684 , 2022 2022 Citations: 8