In this paper we focus on to obtaining non-similar solutions for steady two dimensional double diffusive mixed convection boundary layer flows over an impermeable exponentially stretching sheet in an exponentially moving free stream under the influence of chemically reactive species. The nonlinear partial differential equations governing the flow, temperature and species concentration fields are presented in non-dimensional form with the help of suitable non-similar transformations. The resulting final non-dimensional set of coupled nonlinear partial differential equations is solved by using an implicit finite difference scheme in combination with the Newton's linearization technique. The effects of various non-dimensional physical parameters on velocity, temperature and species concentration fields are discussed. The results reveal that the streamwise coordinate ξ remarkably influences the flow, thermal and solutal concentration fields which display the existence of non-similar solutions. © 2015 Faculty of Engineering, Ain Shams University

Satyajit Roy

Department of Mathematics

Boundary layer flow

Boundary layers

Chemical reactions

Finite difference method

linearization

Mathematical transformations

Mixed convection

Partial differential equations

Double-diffusive convection

EXPONENTIALLY STRETCHING SURFACES

FINITE DIFFERENCE SCHEME

Implicit finite-difference schemes

MIXED CONVECTION BOUNDARY LAYER FLOW

NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS

STRETCHING SHEET

Nonlinear equations

Fulltext

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IIT Madras

Ain Shams Engineering Journal

This paper is devoted to obtain non-similar solutions for the effect of viscous dissipation on the steady double diffusive mixed convection flow over a vertical exponentially permeable stretching surface. The non-linear partial differential equations governing the flow, thermal and species concentration fields are written in the non-dimensional form by using suitable group of transformations. The final non-dimensional set of coupled partial differential equations is solved using the implicit finite difference method in combination with the Newton's linearization technique. The effects of various non-dimensional physical parameters on velocity, temperature and species concentration fields are discussed. The presence of the suction/injection at the surface expedites the mass transfer phenomena. The numerical results in terms of the skin friction coefficient, the rate of heat transfer in terms of local Nusselt number and mass transfer rate in terms of Sherwood number shown graphically for various physical parameter involved in the problem. The present results are compared with previously published work, and these comparisons are found to be in excellent agreement. © 2017 Elsevier Ltd

International Journal of Heat and Mass Transfer

Double diffusive mixed convection flow from a vertical exponentially stretching surface in presence of the viscous dissipation

This paper reports a detailed numerical investigation on mixed convection flow of a polar fluid through a porous medium due to the combined effects of thermal and mass diffusion. The energy equation accounts for heat generation or absorption, while the nth order homogeneous chemical reaction between the fluid and the diffusing species is included in the mass diffusion equation. The governing equations of the linear momentum, angular momentum, energy and concentration are obtained in a non-similar form by introducing a suitable group of transformations. The final set of non-similar coupled non-linear partial differential equations is solved using an implicit finite-difference scheme in combination with quasi-linearization technique. The effects of various parameters on the velocity, angular velocity, temperature and concentration fields are investigated. Numerical results for the skin friction coefficient, wall stress of angular velocity, Nusselt number and Sherwood number are also presented. © 2011 Springer Science+Business Media B.V.

Meccanica

Effects of chemical reaction on mixed convection flow of a polar fluid through a porous medium in the presence of internal heat generation

An unsteady mixed convection boundary layer flow over a permeable non-linearly stretching vertical slender cylinder is considered to investigate the combined effects of buoyancy force and thermal diffusion in presence of surface mass transfer, where the slender cylinder is in line with the flow. The unsteadiness in the flow and temperature fields is caused by the continuously non-linearly stretching vertical slender cylinder. The governing boundary layer equations are transformed into a non-dimensional form by a group of non-similar transformations. The resulting system of coupled non-linear partial differential equations is solved by an implicit finite difference scheme in combination with the quasi-linearization technique. Numerical computations are performed to understand the physical situations of linear and non-linearly stretching surface for different values of parameters to display the velocity and temperature profiles graphically. The obtained results show that the buoyancy parameter λ and the Prandtl number Pr enhance the skin friction coefficient and the local Nusselt number. It is also shown that the suction parameter A (>0) is to decrease the velocity and temperature profiles, but injection parameter A (<0) does the reverse. Results are compared with previously published work and are found to be in excellent agreement. © 2011 Elsevier Ltd.

Computers and Fluids

Unsteady effects on mixed convection boundary layer flow from a permeable slender cylinder due to non-linearly power law stretching

The objective of the paper is to investigate the numerical study of an unsteady two-dimensional mixed convection flow along a vertical semi-infinite power-law stretching sheet in a parallel free stream with a power-law wall temperature distribution of the form TW(x)=T∞+Ax2m-1. The unsteadiness is caused by the free stream velocity as well as by the stretching sheet velocity. The governing non-linear partial differential equations in the velocity and temperature fields are written in non-dimensional form using suitable transformations. The resulting final set of coupled non-linear partial differential equations is solved using an implicit finite difference scheme in combination with a quasi-linearization technique. The effects of various governing parameters on the velocity and temperature profiles are discussed in the present numerical study. In addition, the numerical results for the local skin friction coefficient and local Nusselt number are also presented. The numerically computed results are compared with previously reported work and are found to be in excellent agreement. © 2010 Elsevier Ltd.

Unsteady mixed convection flow over a vertical stretching sheet in a parallel free stream with variable wall temperature

PLOS ONE

Temperature and Concentration Stratification Effects in Mixed Convection Flow of an Oldroyd-B Fluid with Thermal Radiation and Chemical Reaction

International Journal of Numerical Methods for Heat & Fluid Flow

Soret and Dufour effects in three-dimensional flow over an exponentially stretching surface with porous medium, chemical reaction and heat source/sink

Non-similar solutions of mixed convection flow from an exponentially stretching surface

Journal	Ain Shams Engineering Journal
Publisher	Ain Shams University
ISSN	20904479
Open Access	Yes