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

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 ordinary differential equations (ODEs) through… More >

Wubshet Ibrahim^a,∗, Bandari Shankar^b

Frontiers in Heat and Mass Transfer, Vol.7, pp. 1-8, 2016, DOI:10.5098/hmt.7.37

Abstract The Numerical analysis of magneto-hydrodynamics (MHD) boundary layer flow and heat transfer of incompressible, viscous and electrically conducting fluid is presented. The flow is due to continuously stretching permeable surface embedded in non-Darcian porous medium in the presence of transverse magnetic field, thermal radiation and non-uniform heat source/sink. The flow equations in the porous medium are governed by ForchheimerBrinkman extended Darcy model. A similarity transformation is used to transform partial differential equations into a coupled higher order non-linear ordinary differential equations. These equations are solved numerically using implicit finite difference scheme called Keller-Box method. The effects of the governing parameters… More >

M. Sathish Kumar, N. Sandeep^* , B. Rushi Kumar

Frontiers in Heat and Mass Transfer, Vol.8, pp. 1-8, 2017, DOI:10.5098/hmt.8.13

Abstract Nowadays external magnetic fields are capable of setting the thermal and physical properties of magnetic-nanofluids and regulate the flow and heat transfer characteristics. The strength of the applied magnetic field affects the thermal conductivity of magnetic nanofluids and makes it aeolotropic. With this incentive, we investigate the flow and heat transfer of electrically conducting liquid film flow of Carreau nanofluid over a stretching sheet by considering the aligned magnetic field in the presence of space and temperature dependent heat source/sink and viscous dissipation. For this study, we considered kerosene as the base fluid embedded with the silver (Ag) and copper… More >

P. Sreenivasulu^a,*, T. Poornima^b,†, N. Bhaskar Reddy^c

Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-7, 2017, DOI:10.5098/hmt.9.20

Abstract This paper examines the variable thermal conductivity influence on MHD flow past a thermally stratified stretching cylinder with heat source or sink. The governing partial differential equations of the flow field are converted to a system of non-linear coupled similarity ordinary differential equations. Employing Shooting technique followed by Runge-Kutta method, the system is solved numerically. The effects of the various physical parameters countered in the flow field on the velocity, temperature as well as the skin friction coefficient and the rate of heat transfer near the wall are computed and illustrated graphically. More >

T. Sravan Kumar, B. Rushi Kumar^*

Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-7, 2017, DOI:10.5098/hmt.9.13

Abstract In this work, the steady natural convective boundary layer flow of nanofluid and heat transfer over a stretching sheet in the presence of a uniform transverse magnetic field is investigated. We consider two different base fluids and three different nanoparticles were examined as nanofluid. A new model was used in the simulation of nanofluid. Similarity transformations are used to obtain a system of nonlinear ordinary differential equations. The resulting equations are solved numerically by shooting method with Runge-Kutta fourth order scheme (MATLAB package). The effects of various parameters describing the transport in the presence of thermal radiation, buoyancy parameter, magnetic… More >

M. Umeshaiah¹ , M. R. Krishnamurthy² , N.G. Rudraswamy³ , B. J. Gireesha⁴, B.C. Prasannakumara^5,*

Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-8, 2017, DOI:10.5098/hmt.9.4

Abstract This article presents the effect of nonlinear thermal radiation on boundary layer flow and heat transfer of Carreau fluid model over a nonlinear stretching sheet embedded in a porous medium in the presence of non-uniform heat source/sink and viscous dissipation with convective boundary condition. The governing partial differential equations with the corresponding boundary conditions are reduced to a set of ordinary differential equations using similarity transformation, which is then solved numerically by the fourth-fifth order Runge–Kutta-Fehlberg integration scheme featuring a shooting technique. The influence of significant parameters such as power law index parameter, Stretching parameter, Weissenberg number, permeability parameter, temperature… More >

S.R.R. Reddy^a , P. Bala Anki Reddy^a,*, S. Suneetha^b

Frontiers in Heat and Mass Transfer, Vol.10, pp. 1-10, 2018, DOI:10.5098/hmt.10.22

Abstract Present work aims to investigate the blood stream in a permeable vessel in the presence of an external magnetic field with heat and mass transfer. The instability in the coupled flow and temperature fields is considered to be produced due to the time-dependent extending velocity and the surface temperature of the vessel. The non-uniform heat source/sink effects on a chemically responded blood stream and heat viscous. This study is of potential value in the clinical healing of cardiovascular disorders accompanied by accelerated circulation. The problem is treated mathematically by reducing it to a system of joined non-linear differential equations, which… More >

Emran Khoshrouye Ghiasi, Reza Saleh^*

Frontiers in Heat and Mass Transfer, Vol.12, pp. 1-7, 2019, DOI:10.5098/hmt.12.4

Abstract In this paper, two-dimensional magnetohydrodynamic (MHD) flow of Casson fluid over a fixed plate under non-uniform heat source/sink and Joule heating is analyzed by the homotopy analysis method (HAM). The governing boundary-layer equations have been reduced to the ordinary differential equations (ODEs) through the similarity variables. The current HAM-series solution is compared and successfully validated by the previous studies. Furthermore, the effects of thermo-physical parameters on the current solution are precisely examined. It is found that the skin friction coefficient and local Nusselt number are greatly affected by the Hartmann number. It can be concluded that employing the Casson fluid… More >

G. Nagaraju^a,∗ , Mahesh Garvandha^b, J.V. Ramana Murthy^c

Frontiers in Heat and Mass Transfer, Vol.13, pp. 1-8, 2019, DOI:10.5098/hmt.13.6

Abstract This paper analyzes a hypothesis of the 2−dimensional thermal transport behavior of Newtonian axisymmetric, viscous heating flow in a horizontal pipe. The flow is subjected to an externally applied uniform suction across the pipe wall in the polar direction, a constant magnetic field perpendicular to the wall and a uniform heat source/sink on the surface of the cylinder. The thermal boundary condition is imposed as a uniform heat flux. The Velocity fields are expressed in terms of stream function and the solution is obtained using the homotopy analysis method (HAM). Graphs are designed to analyze the significant effect on temperature… More >

Izyan Syazana Awaludin^{1, 2}, Anuar Ishak^2,*, Ioan Pop³

CMES-Computer Modeling in Engineering & Sciences, Vol.120, No.1, pp. 203-214, 2019, DOI:10.32604/cmes.2019.06594

Abstract The present study considers the magnetohydrodynamic (MHD) stagnation point flow with chemical reaction effect over a permeable stretching/shrinking sheet. The partial differential equations are reduced to a set of ordinary differential equations using a similarity transformation. The transformed equations are then solved numerically by employing the bvp4c function available in the MATLAB software. The numerical results illustrate the effects of several parameters on the skin friction coefficient, local Nusselt number and the local Sherwood number. Dual solutions are obtained for a certain range of parameters. The temporal stability analysis is carried out to determine which one of these solutions is… More >