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 >

Shaik Jaffrullah¹, Sridhar Wuriti^1,*, Raghavendra Ganesh Ganugapati², Srinivasa Rao Talagadadevi¹

Frontiers in Heat and Mass Transfer, Vol.21, pp. 407-426, 2023, DOI:10.32604/fhmt.2023.043305

Abstract In this particular study, we have considered the flow of Casson fluid over inclined flat and cylindrical surfaces, and have conducted a numerical analysis taking into account various physical factors such as mixed convection, stagnation point flow, MHD, thermal radiation, viscous dissipation, heat generation, Joule heating effect, variable thermal conductivity and chemical reaction. Flow over flat plate phenomena is observed aerospace industry, and airflow over solar panels, etc. Cylindrical surfaces are commonly used in several applications interacting with fluids, such as bridges, cables, and buildings, so the study of fluid flow over cylindrical surfaces is more important. Due to the… More >

Vandana Bisht^*

Frontiers in Heat and Mass Transfer, Vol.7, pp. 1-7, 2016, DOI:10.5098/hmt.7.19

Abstract In this paper the steady laminar magneto hydrodynamic (MHD) mixed convection boundary layer flow towards a vertical stretching sheet with variable fluid viscosity, radiation and in the presence of Dufour’s effect have been investigated. The governing partial differential equations are transformed into set of ordinary differential equations using similarity transformation, and then these equations have been solved numerically using Runge- Kutta method with shooting technique. Results shows that magnitude of skin friction coefficient decreases, while magnitude of heat transfer coefficient and mass transfer coefficient increases with decreasing values of viscosity variation parameter for the case of opposing flow. But in… More >

Wubshet Ibrahim^∗

Frontiers in Heat and Mass Transfer, Vol.7, pp. 1-10, 2016, DOI:10.5098/hmt.7.4

Abstract The study scrutinizes the effect of convective heating on magnetohydrodynamic (MHD) stagnation point flow and heat transfer of upper-convected Maxell fluid p ast a s tretching s heet i n t he p resence o f n anoparticles. T he m odel u sed i n t he s tudy i ncludes t he e ffect o f B rownian m otion and thermophoresis parameters. The non-linear governing equations and their boundary conditions are initially cast into dimensionless forms by similarity transformation. The resulting system of equations is then solved numerically using fourth order Runge-Kutta method along with shooting technique.… More >

Mirza Naveed Jahangeer Baig¹, Nadeem Salamat¹, Sohail Nadeem^2,3,*, Naeem Ullah², Mohamed Bechir Ben Hamida^4,5,6, Hassan Ali Ghazwani⁷, Sayed M. Eldin⁸, A. S. Al-Shafay⁹

CMES-Computer Modeling in Engineering & Sciences, Vol.138, No.2, pp. 1485-1499, 2024, DOI:10.32604/cmes.2023.029351

Abstract This work investigates an oblique stagnation point flow of hybrid nanofluid over a rigid surface with power law fluid as lubricated layers. Copper (Cu) and Silver (Ag) solid particles are used as hybrid particles acting in water H₂O as a base fluid. The mathematical formulation of flow configuration is presented in terms of differential system that is nonlinear in nature. The thermal aspects of the flow field are also investigated by assuming the surface is a heated surface with a constant temperature T. Numerical solutions to the governing mathematical model are calculated by the RK45 algorithm. The results based on… More >

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

Frontiers in Heat and Mass Transfer, Vol.8, pp. 1-11, 2017, DOI:10.5098/hmt.8.24

Abstract We report on a mathematical model for analyzing the effects of homogeneous-heterogeneous chemical reaction and slip velocity on the MHD stagnation point flow of electrically conducting micropolar fluid over a stretching/shrinking surface embedded in a porous medium. The governing boundary layer coupled partial differential equations are transformed into a system of non-linear ordinary differential equations, which are solved numerically using the MATLAB bvp4c solver. The effects of physical and fluid parameters such as the stretching parameter, micropolar parameter, permeability parameter, strength of homogeneous and heterogeneous reaction parameter on the velocity and concentration are analyzed, and these results are presented through… More >

G. Vinod Kumar, R. V. M. S. S. Kiran Kumar^* , S. V. K. Varma

Frontiers in Heat and Mass Transfer, Vol.10, pp. 1-8, 2018, DOI:10.5098/hmt.10.23

Abstract The steady boundary layer stagnation flow of a Casson fluid over a stretching sheet with slips boundary conditions in the presence of viscous dissipation, Joule heating and the first order destructive chemical reaction is analyzed. The governing flow problem is based on momentum equation, energy equation, and mass diffusion equation and these are further simplified with the help of similarity transformations. The reduced, resulting highly nonlinear coupled ordinary differential equations are solved using the Matlab bvp4c package. The effects of various parameters on the dimensionless velocity, temperature, and concentration as well as on the skin friction coefficient and the rate… More >

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

Frontiers in Heat and Mass Transfer, Vol.10, pp. 1-11, 2018, DOI:10.5098/hmt.10.13

Abstract The main object of this paper is to steady the Bio-mathematical analysis for the stagnation point flow over a non-linear stretching sheet with the velocity slip and Casson fluid model. Analysis for the both titanium and titanium alloy within the pure blood as taken as the base fluid. The governing non-linear partial differential equations are transformed into ordinary which are solved numerically by utilizing the fourth order RungeKutta method with shooting technique. Graphical results have been presented for dimensionless stream function, velocity profile, shear stress, temperature profile for various physical parameters of interest. It was found that the velocity profile… More >

Muhammad Amin Murad^a,*, Faraidun Hamasalh^b, Hajar F. Ismael^c

Frontiers in Heat and Mass Transfer, Vol.20, pp. 1-8, 2023, DOI:10.5098/hmt.20.7

Abstract In this paper, we study the behavior of heat transfer of Casson fluid at the magnetohydrodynamic stagnation point with thermal radiation over a continuous moving sheet. The appropriate similarity transfer is used to transfer the governing differential equations into the ordinary differential equation and then solved by the collocation method based on spline function. The obtained results are investigated with the existing literature by direct comparison. We found that an increment in the value of the shrinking parameter, magnetic parameter, and Casson fluid parameter enhances the velocity distribution and depreciate the temperature profile both Casson and Newtonian fluids. Furthermore, the… More >

U. S. Mahabaleshwar¹, T. Anusha1 and M. Hatami^2,*

FDMP-Fluid Dynamics & Materials Processing, Vol.19, No.2, pp. 541-567, 2023, DOI:10.32604/fdmp.2022.022002

Abstract The unsteady stagnation-point flow of a hybrid nanofluid over a stretching/shrinking sheet embedded in a porous medium with mass transpiration and chemical reactions is considered. The momentum and mass transfer problems are combined to form a system of partial differential equations, which is converted into a set of ordinary differential equations via similarity transformation. These ordinary differential equations are solved analytically to obtain the solution for velocity and concentration profiles in exponential and hypergeometric forms, respectively. The concentration profile is obtained for four different cases namely constant wall concentration, uniform mass flux, general power law wall con-centration and general power… More >