K. Ganesh Kumar¹ , G.K. Ramesh^2,*, B.J. Gireesha¹

Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-8, 2017, DOI:10.5098/hmt.9.32

Abstract The present article addresses the double-diffusive convection flow of the Casson fluid with thermal radiation. With suitable independent transformations, the governing partial differential equations are first transformed into ordinary differential equations. The converted equations are solved numerically by using Runge-Kutta-Fehlberg forth-fifth technique (RKF45 Method) via shooting technique. The eects of the emerging parameters, the skin friction coecient, the Nusselt number, and the Sherwood number are analyzed on the dimensionless velocities, temperature, and concentration fields. Outcome shows that buoyancy forces due to temperature difference suppress the skin friction whereas it will enhance the local Nusselt and Sherwood numbers. More >

Hamzeh T. Alkasasbeh^*

Frontiers in Heat and Mass Transfer, Vol.10, pp. 1-8, 2018, DOI:10.5098/hmt.10.32

Abstract This paper focuses on the numerical solution for magnetohydrodynamic (MHD) flow of micropolar Casson fluid with thermal radiation over a horizontal circular cylinder. The nonlinear partial differential equations of the boundary layer are first transformed into a non-dimensional form and then solved numerically using an implicit finite difference scheme known as Keller-box method. The The effects of the emerging parameters, namely Casson fluid parameter, magnetic parameter, radiation parameter and micropolar parameter on the local Nusselt number and the local skin friction coefficient, as well as the temperature, velocity and angular velocity profiles are shown graphically and discussed. The present results… 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 >

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

Frontiers in Heat and Mass Transfer, Vol.10, pp. 1-9, 2018, DOI:10.5098/hmt.10.7

Abstract This work concentrates on the effects of homogeneous-heterogeneous chemical reactions on MHD boundary layer flow of Casson fluid over a stretching surface. Cattaneo-Christov heat flux model is considered instead of classical Fourier’s law to explore the heat transfer phenomena. Appropriate similarity transformations are used to convert the governing partial differential equations into a system of coupled non-linear differential equations. The resulting coupled non-linear differential equations are solved numerically by using the fourth order Runge-Kutta method with shooting technique. The impact of significant parameters on velocity, temperature, concentration, skin friction coefficient and the Nusselt number are presented graphically and in tabular… More >

N. Vijaya^a,*, Y. Hari Krishna^a , K. Kalyani^b, G.V.R. Reddy^a

Frontiers in Heat and Mass Transfer, Vol.11, pp. 1-11, 2018, DOI:10.5098/hmt.11.19

Abstract The present paper deals with the thermo physical properties of a Casson fluid through an oscillating vertical wall embedded through porous medium under the influence transverse magnetic field, radiation, constant heat source and first order chemical reaction. The radiative heat loss is modelled by using Rosseland approximation. Similarity variables were used to convert the partial differential equations into ordinary differential equation. The transformed ordinary differential equations are solved numerically using Runge - Kutta -Fehlberg method with shooting technique. In order to get perfect perception of the flow pattern we obtain the graphs of axial velocity, temperature and concentrations profiles for… More >

P. Bala Anki Reddy^a , B. Mallikarjuna^b,*,K. Madhu Sudhan Reddy^a

Frontiers in Heat and Mass Transfer, Vol.11, pp. 1-10, 2018, DOI:10.5098/hmt.11.5

Abstract In this paper, a mathematical model has been developed to analyze the double diffusive convective flow of Casson fluid over an inclined stretching sheet with Cattaneo-Christov Heat Flux model. The velocity slip is considered over the surface of the stretching sheet as well. The governing equations for the pertinent model are transformed into non-dimensional highly coupled nonlinear differential equations using similarity transformations. The implicit finite difference method is used to carry out the numerical results and presented the graphs for different values of the physical parameter, Casson fluid parameter, and thermal relation time parameter, chemical reaction parameter for the cases… More >

V. S. Sampath Kumar, N. P. Pai^†

Frontiers in Heat and Mass Transfer, Vol.12, pp. 1-9, 2019, DOI:10.5098/hmt.12.23

Abstract The present paper encorporates the effet of magnetic field on the incompressible Casson fluid flow between two parallel infinite rectangular plates approaching towards or away from each other with suction or injection at the porous plates. Using similarity transformations the governing Navier-Stokes equations are reduced to a nonlinear ordinary differential equation. Semi-analytical solution is obtained based on the Homotopy perturbation method. Further, the solution is compared with the classical finite difference method separately. The effect of magnetic field on velocity, skin friction and pressure is analysed on flow between two plates with suction or injection, where two plates moving towards… 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 >

V.S. Sampath Kumar, N.P. Pai^† , B. Devaki

Frontiers in Heat and Mass Transfer, Vol.20, pp. 1-13, 2023, DOI:10.5098/hmt.20.30

Abstract In the present study, we consider Casson fluid flow between two porous plates with permeability criteria in the presence of heat transfer and magnetic effect. A proper set of similarity transformations simplify the Navier-Stokes equations to non-linear ODEs with boundary conditions. The homotopy perturbation method is an efficient and stable method which is used to get solutions. Further, the results obtained are compared with the solution computed through an effective and efficient finite difference approach. The purpose of this analysis is to study the four different cases arise viz: suction, injection, mixed suction and mixed injection in this problem, along… More >