B. Rajesh¹, Fateh Mebarek-Oudina^2,3,4,*, N. Vishnu Ganesh¹, Qasem M. Al-Mdallal⁵, Sami Ullah Khan⁶, Murali Gundagnai⁷, Hillary Muzara⁸

Frontiers in Heat and Mass Transfer, Vol.23, No.4, pp. 1243-1260, 2025, DOI:10.32604/fhmt.2025.066782 - 29 August 2025

Abstract The behavior of buoyancy-driven magnetohydrodynamic (MHD) nanofluid flows with temperature-sensitive viscosity plays a pivotal role in high-performance thermal systems such as electronics cooling, nuclear reactors, and metallurgical processes. This study focuses on the boundary layer flow of a Casson-based sodium alginate Fe₃O₄ nanofluid influenced by magnetic field-dependent viscosity and thermal radiation, as it interacts with a vertically stretching sheet under dissipative conditions. To manage the inherent nonlinearities, Lie group transformations are applied to reformulate the governing boundary layer equations into similarity forms. These reduced equations are then solved via the Spectral Quasi-Linearization Method (SQLM), ensuring high More >

Rabail Tabassum¹, M. Kamran¹, Khalil Ur Rehman^2,*, Wasfi Shatanawi^2,3, Rashid Mehmood⁴

Frontiers in Heat and Mass Transfer, Vol.23, No.2, pp. 577-599, 2025, DOI:10.32604/fhmt.2025.059466 - 25 April 2025

Abstract This study aims to elucidate the connection between the shape factor of GO (graphene oxide) nanoparticles and the behavior of blood-based non-aligned, 2-dimensional, incompressible nanofluid flow near stagnation point, under the influence of temperature-dependent viscosity. Appropriate similarity transformations are employed to transform the non-linear partial differential equations (PDEs) into ordinary differential equations (ODEs). The governing equations are subsequently resolved by utilizing the shooting method. The modified Maxwell model is used to estimate the thermal efficiency of the nanofluid affected by different nanoparticle shapes. The impact of various shapes of GO nanoparticles on the velocity and… More >

Hanumesh Vaidya¹, Fateh Mebarek-Oudina^2,*, K. V. Prasad¹, Rajashekhar Choudhari³, Neelufer Z. Basha¹, Sangeeta Kalal¹

Frontiers in Heat and Mass Transfer, Vol.22, No.1, pp. 65-78, 2024, DOI:10.32604/fhmt.2024.047879 - 21 March 2024

Abstract This investigation aims to analyze the effects of heat transport characteristics in the unsteady flow of nanofluids over a moving plate caused by a moving slot factor. The BRS variable is utilized for the purpose of analyzing these characteristics. The process of mathematical computation involves converting the governing partial differential equations into ordinary differential equations that have suitable similarity components. The Keller-Box technique is employed to solve the ordinary differential equations (ODEs) and derive the corresponding mathematical outcomes. Figures and tables present the relationship between growth characteristics and various parameters such as temperature, velocity, skin More > Graphic Abstract

Muhammad Abaid Ur Rehman^1,*, Muhammad Asif Farooq¹, Ahmed M. Hassan²

Frontiers in Heat and Mass Transfer, Vol.22, No.1, pp. 263-286, 2024, DOI:10.32604/fhmt.2023.044587 - 21 March 2024

Abstract This paper proposes a mathematical modeling approach to examine the two-dimensional flow stagnates at over a heated stretchable sheet in a porous medium influenced by nonlinear thermal radiation, variable viscosity, and MHD. This study’s main purpose is to examine how thermal radiation and varying viscosity affect fluid flow motion. Additionally, we consider the convective boundary conditions and incorporate the gyrotactic microorganisms equation, which describes microorganism behavior in response to fluid flow. The partial differential equations (PDEs) that represent the conservation equations for mass, momentum, energy, and microorganisms are then converted into a system of coupled… More >

A. Sahaya Jenifer^a , P. Saikrishnan^a,*, J. Rajakumar^b

Frontiers in Heat and Mass Transfer, Vol.17, pp. 1-8, 2021, DOI:10.5098/hmt.17.4

Abstract This paper examines the steady magnetohydrodynamic (MHD) flow of water over a yawed cylinder with variable fluid properties and non-uniform mass transfer. The impact of viscous dissipation is taken into consideration. The velocity and temperature fields are governed by coupled nonlinear partial differential equations together with boundary constraints. These governing equations are converted to dimensionless form with suitable non-similar transformations and then solved using an implicit finite difference method and the quasi-linearization technique. The results indicate that the yaw angle enhancement declines the skin friction coefficient in the axial direction and the heat transfer coefficient. More >

Saddam Atteyia Mohammad^*

Frontiers in Heat and Mass Transfer, Vol.14, pp. 1-10, 2020, DOI:10.5098/hmt.14.7

Abstract An analysis was performed to study the effects of variable viscosity on steady, laminar, hydromagnetic simultaneous heat and mass transfer by mixed convection flow along a vertical cylinder embedded in a non-Darcy porous medium. The analysis was performed for the case of power-law variations of both the surface temperature and concentration. The viscosity of the fluid is assumed to be an inverse linear function of temperature. Certain transformations were employed to transform the governing differential equations to non-similar form. The transformed equations were solved numerically by finite difference method. The entire regime of mixed convection… More >

B.B. Divya^a , G. Manjunatha^a,† , C. Rajashekhar^a, Hanumesh Vaidya^b, K.V. Prasad^c

Frontiers in Heat and Mass Transfer, Vol.12, pp. 1-9, 2019, DOI:10.5098/hmt.12.15

Abstract The present paper examines the peristaltic mechanism of a Jeffrey fluid through an elastic tube. The influence of velocity slip, convective boundary conditions, and variable liquid properties are taken into account. Closed form solutions are obtained for velocity, flux and temperature fields. In order to linearize the temperature equation, perturbation technique is employed. Also, the flux is determined theoretically via Rubinow and Keller and Mazumdar approach and the results are compared graphically. The effects of various vital parameters on the fluid flow are sketched and analyzed graphically. The findings emphasize the importance of elastic parameters More >

Jadav Konch^*

Frontiers in Heat and Mass Transfer, Vol.10, pp. 1-10, 2018, DOI:10.5098/hmt.10.29

Abstract Soret and Dufour effects on the unsteady flow of a viscous incompressible dusty fluid past an exponentially accelerated vertical plate with viscous dissipation have been considered in the presence of heat source and magnetic field. The viscosity and thermal conductivity of the fluid are assumed to be varying with respect to temperature. Saffman model of dusty fluid is considered for the investigation. The non-linear partial differential equations with prescribed boundary conditions governing the flow are discretized using Crank-Nicolson formula and the resulting finite difference equations are solved by an iterative scheme based on the Gauss-Seidel… More >

C. Rajashekhar^a , G. Manjunatha^a,† , Hanumesh Vaidya^b , B. B. Divya^a , K. V. Prasad^c

Frontiers in Heat and Mass Transfer, Vol.11, pp. 1-8, 2018, DOI:10.5098/hmt.11.35

Abstract The primary objective of this paper is to examine the impact of variable viscosity and thermal conductivity on peristaltic transport of Casson liquid in a convectively heated inclined porous tube. The viscosity differs over the radial axis, and temperature dependent thermal conductivity is taken into account. The perturbation technique is utilized to solve the governing nonlinear equations under the assumption of long wavelength and small Reynolds number. The analytical solutions are obtained for velocity, streamlines, pressure rise, frictional force, and temperature when subjected to slip and convective boundary conditions. The impacts of related parameters on More >

Jadav Konch^*, G. C. Hazarika

Frontiers in Heat and Mass Transfer, Vol.8, pp. 1-10, 2017, DOI:10.5098/hmt.8.39

Abstract This paper investigates momentum, heat and mass transfer characteristics of a hydromagnetic Newtonian dusty fluid flow due to a rotating disk with radiation and viscous dissipation. The main objective of this paper is to study effects of temperature dependent viscosity and thermal conductivity on flow, temperature and species concentration. Radiation and viscous dissipation effects are also taken into account. Saffman model for dusty fluid is considered for the problem. The partial differential equations governing the flow are converted into ordinary differential equations employing similarity transformations. The resulting highly nonlinear coupled ordinary differential equations are solved More >