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 More >

S. M. Arifuzzaman^a , M. S. Khan^b,*, M. S. Islam^c , M. M. Islam^c , B. M. J. Rana^a , P. Biswas^a, S. F. Ahmmed^a

Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-14, 2017, DOI:10.5098/hmt.9.25

Abstract Present study concerns with the numerical investigation of MHD transient naturally convective and higher order chemically reactive Maxwell fluid with Nano-particle flow through a vertical porous plate with the effects of heat generation and radiation absorption. A boundary layer approximation is carried out to develop a flow model representing time dependent momentum, energy, and concentration equations. The governing model equations in partial differential equations (PDEs) form are transformed into a set of nonlinear ordinary differential equation (ODEs) by using non-similar technique. Explicit Finite Difference Method (EFDM) is employed by implementing an algorithm in Compaq Visual… More >

Elyazid Flilihi^a,† , Mohammed Sriti^a , Driss Achemlal^b , Mohamed El haroui^a

Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-8, 2017, DOI:10.5098/hmt.9.23

Abstract A semi - analytical investigation is performed to analyze the thermal convection flow with a radiation flux and a variable internal heat generation along an inclined plate embedded in a saturated porous medium. The flow in the porous medium is modeled with the Darcy-Brinkman law taking into account the convective term, while the temperature field is obtained from the energy equation. These governing equations with the boundary conditions are first cast into a dimensionless form by using a unique similarity transformation and the resulting coupled differential equations are then solved numerically by a computational program 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 >

Md. Shakhaoath Khan^a,*, Md. Mizanur Rahman^a,b, S.M. Arifuzzaman^c , Pronab Biswas^c , Ifsana Karim^a

Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-11, 2017, DOI:10.5098/hmt.9.15

Abstract A two-dimensional (2D) flow of an incompressible Williamson fluid of Cattaneo–Christov heat flux type over a linearly stretched surface with the influence of magnetic field, thermal radiation-diffusion, heat generation and viscous dissipation is carried out in the present study. To develop a Williamson flow model, a boundary layer approximation is taken into account. The non-dimensional, nonlinear, coupled ordinary differential equations with boundary condition are solved numerically using Nactsheim-Swigert shooting iteration technique together with Runge-Kutta six order iteration scheme. The influences of physical parameters on the velocity, temperature, concentration is analysed through graphical consequences. To validate More >

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

Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-6, 2017, DOI:10.5098/hmt.9.10

Abstract An analysis is presented to analyze the momentum and heat transfer behaviour of the laminar wall jet flow of a hydromagnetic flow due to plate with nonlinear thermal radiation and convective boundary condition. The governing Partial differential equations are converted as ordinary differential equations with the aid of similarity transformation. Further, the transformed equation is resolved using the bvc5c Matlab package. The effect of various pertinent parameters on momentum and temperature fields along with the local Nusselt number is discussed with the help of numerical and graphical illustrations. It is found that the Biotnumbereffectively enhances More >

G.K. Ramesh^a,*, B.J. Gireesha^b

Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-7, 2017, DOI:10.5098/hmt.9.3

Abstract The effect of non-linear thermal radiation on nanofluid flow over a riga plate is studied. Under some conditions, our problem reduces to the Blasius problem and Sakiadis problem. Similarity transformation is used to convert the governing steady Navier-Stokes equations into a system of coupled nonlinear differential equations, which are then solved numerically via Runge-Kutta-Fehlberg 45 order method along with a shooting method. Influence of parameters involved on velocity, temperature and concentration profiles is discussed with the help of graphical aid. Numerical results have been presented on the skin-friction coefficients, local Nusselt number and Sherwood number. 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, More >

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

Frontiers in Heat and Mass Transfer, Vol.7, pp. 1-10, 2016, DOI:10.5098/hmt.7.8

Abstract In this paper, we study the chemical reaction and heat source effects on unsteady MHD free convection heat and mass transfer of a nanofluid flow past a semi-infinite flat plate in a rotating system. The plate is assumed to oscillate in time with steady frequency so that the solutions of the boundary layer are the similar oscillatory type. The innovation of the present work is closed-form analytic solutions are obtained for the momentum, energy and concentration equations. The influence of various parameters entering into the problem in the nanofluid velocity, temperature and concentration distributions, as More >

A. Vijayalakshmi, S. Srinivas^*

Frontiers in Heat and Mass Transfer, Vol.7, pp. 1-11, 2016, DOI:10.5098/hmt.7.10

Abstract In the present study, the flow and heat transfer characteristics of a nanofluid in an expanding or contracting porous channel with different permeabilities in presence of thermal radiation are investigated. Analytical solutions for the flow variables are obtained by employing homotopy analysis method (HAM). Maxwell-Garnetts and Brinkman models are considered to calculate the thermal conductivity and the viscosity of nanofluid. In this investigation, we considered water and ethylene glycol as base fluids and silver ( Ag ), copper ( Cu ), titanium dioxide ( TiO₂ ) and alumina ( Al₂O₃ ) as nanoparticles. The effects of various More >