G. Venkata Ramana Reddy^1,*, Y. Hari Krishna¹

FDMP-Fluid Dynamics & Materials Processing, Vol.14, No.3, pp. 213-222, 2018, DOI:10.3970/fdmp.2018.00411

Abstract The objective of the present problem is to investigate a two-dimensional unsteady flow of a viscous incompressible electrically conducting fluid over a stretching surface taking into account a transverse magnetic field of constant strength. Applying the similarity transformation, the governing boundary layer equations of the problem converted into nonlinear ordinary differential equations and then solved numerically using fourth order Runge-Kutta method with shooting technique. The effects of various parameters on the velocity and temperature fields as well as the skin-friction coefficient and Nusselt number are presented graphically and discussed qualitatively. More >

CH. Amanulla^a,b,* , N. Nagendra^a , M. Suryanarayana Reddy^b

Frontiers in Heat and Mass Transfer, Vol.8, pp. 1-11, 2017, DOI:10.5098/hmt.8.40

Abstract A theoretical and computational study of the magneto hydrodynamic flow and free convection heat transfer in an electro-conductive polymer on the external surface of a vertical permeable cone under radial magnetic field is presented. Thermal and velocity (hydrodynamic) slip are considered at the vertical permeable cone surface via modified boundary conditions. The Williamson viscoelastic model is employed which is representative of certain industrial polymers. The non-dimensional, transformed boundary layer equations for momentum and energy are solved with the second order accurate implicit Keller box finite difference method under appropriate boundary conditions. Validation of the numerical… More >

M. Sathish Kumar^a , N. Sandeep^a,*, B. Rushi Kumar^a , J. Prakash^b

Frontiers in Heat and Mass Transfer, Vol.8, pp. 1-8, 2017, DOI:10.5098/hmt.8.8

Abstract In this study, a numerical investigation is performed to analyse the flow and heat transfer characteristic of magnetohydrodynamic Casson fluid flow past a semi-infinite stretching surface in the presence of Cattaneo – Christov heat flux and nonlinear thermal radiation. Appropriate transformations are employed to reduce the governing partial differential equations into ordinary differential equations. Further, solutions of the ordinary differential equation are obtained with the aid of Runge- Kutta based shooting technique. The effect of various non- dimensional governing parameters on velocity and temperature fields for suction and injection cases are discussed with the help 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 More >

B. Venkateswarlu^a, P.V. Satya Narayana^b,*

Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-10, 2017, DOI:10.5098/hmt.9.11

Abstract An analysis has been carried out to study the mixed convection flow, heat and mass transfer of an incompressible electrically conducting Maxwell fluid past a vertical stretching sheet in the presence of chemical reaction with thermal diffusion (Soret) and diffusion-thermo (Dufour) effects. The governing nonlinear partial differential equations along with the appropriate boundary conditions are non-dimensionalized using suitable similarity variables. The resulting transformed ordinary differential equations are then solved numerically by shooting technique with fourth order Runge - Kutta method. The influence of various physical parameters on the flow, heat and mass transfer characteristics are More >

P.V. Satya Narayana^1,* , Nainaru Tarakaramu¹ , S. Moliya Akshit² , Jatin P. Ghori²

Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-5, 2017, DOI:10.5098/hmt.9.9

Abstract The present work is devoted to study the numerical simulation of steady magnetohydrodynamic flow and heat transfer of an Eyring-Powell fluid over a stretching sheet with viscous dissipation. The fluid is taken to be two dimensional electrically conducting and the flow is induced by a stretching surface. The basic governing partial differential equations of non-Newtonian fluid are reduced into the coupled nonlinear ordinary differential equations by using similarity transformations. The resulting ordinary differential equations are then solved numerically using shooting method with fourth order Runge- Kutta scheme. The effects of Hartmann number, Eckert number, Grashoff More >

Stanford Shateyi

Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-6, 2017, DOI:10.5098/hmt.9.7

Abstract The spectral relaxation method is employed to examine natural convective heat and mass transfer, MHD flow over a permeable moving vertical plate with convective boundary conditions in the presence of viscous dissipation, thermal radiation and chemical reaction. The governing partial differential equations were transformed into a system of nonlinear ordinary differential equations by using a similarity approach. The resultant dimensionless ordinary equations were numerically solved by employing an effective Relaxation spectral algorithm with Chebyshev scheme. The pertinent results are then displayed in tabular form and graphically 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 More >

S. Harinath Reddy^a , M.C. Raju^a,*, E. Keshava Reddy^b

Frontiers in Heat and Mass Transfer, Vol.7, pp. 1-9, 2016, DOI:10.5098/hmt.7.21

Abstract This manuscript presents a detailed numerical study on the influence of radiation absorption and chemical reaction on unsteady magneto hydrodynamic free convective heat and mass transfer flow. A heat generating Casson fluid past an oscillating vertical plate embedded in a porous medium in the presence of constant wall temperature and concentration is considered. The non-dimensional governing equations along with the corresponding boundary conditions are solved using Finite difference method numerically. Effects of various emerging flow parameters on concentration, temperature and velocity distributions are presented graphically and analyzed. Expressions for skin-friction, Nusselt number and Sherwood number More >

Yaqing Liu^a,*, Jinyu Ma^b

Frontiers in Heat and Mass Transfer, Vol.6, pp. 1-5, 2015, DOI:10.5098/hmt.6.17

Abstract This paper presents an exact solution for the magnetohydrodynamic (MHD) flow of an incompressible generalized Oldroyd-B fluid due to an infinite accelerating plate. The fractional calculus approach is introduced to establish the constitutive relationship of the Oldroyd-B fluid. The solutions in terms of Fox H-function are obtained by using the Laplace transform. When N = 0 the solutions corresponds to the generalized Oldroyd-B fluids, while θ → 0 and λ → 0 describes the Maxwell fluid and the generalized second fluid, as limiting cases of our general results, respectively. More >