The present study investigates the effects of heat and mass transfer on asymmetric laminar flow in a porous channel with expanding or contracting walls in the presence of a chemical reaction. Both walls are assumed to have different permeabilities and expand or contract uniformly at a time-dependent rate. The governing equations are reduced to ordinary differential equations by using similarity transformation. A perturbation technique in the permeation Reynolds number and wall dilation ratio is employed to obtain the analytical solutions. The effects of various emerging parameters on flow variables have been discussed numerically and explained graphically. © 2013 Wiley Periodicals, Inc.

Subramanyam Reddy A

Department of Mathematics

School of Advanced Sciences

Vellore Campus

Srinivas Koppu

Department of Smart Computing

School of Information Technology and Engineering

Ramamohan T.R.

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

Heat Transfer-Asian Research

In this paper, an analysis is performed to study the effects of mass transfer and chemical reaction on laminar flow in a porous pipe with an expanding or contracting wall. The pipe wall expands or contracts uniformly at a time dependent rate. The governing equations are reduced to ordinary differential equations by using a similarity transformation. An analytical approach, namely, the homotopy analysis method is applied in order to obtain the solutions of the ordinary differential equations. The convergence of the obtained series solutions is analyzed. The effects of various parameters on flow variables have been discussed. It is noticed that the wall expansion ratio significantly increases the axial velocity and the concentration for the case of wall expansion and it decreases the axial velocity for the case of wall contraction irrespective of injection or suction. Further, it is observed that the concentration (ϕ{symbol}) decreases for a destructive chemical reaction (γ&gt;0) and increases for a generative chemical reaction (γ&lt;0). The concentration reduces as Schmidt number (Sc) increases. The corresponding problem related to the porous pipe flow with a stationary wall can be recovered from the present analysis in the limiting case where the wall expansion ratio approaches to zero (i.e., α=0). © 2014 Wiley Periodicals, Inc.

Mass Transfer Effects on Viscous Flow in an Expanding or Contracting Porous Pipe with Chemical Reaction

The present study investigates the effects of heat transfer on MHD laminar viscous flow in a pipe with expanding or contracting permeable wall. The pipe wall expands or contracts uniformly at a time dependent rate. The governing equations are reduced to ordinary differential equations by using a similarity transformation. An analytical approach, namely the homotopy analysis method (HAM) is applied in order to obtain the solutions of the ordinary differential equations. The effects of various emerging parameters on flow variables have been discussed numerically and explained graphically. Further, we find a good agreement between the HAM solutions and solutions already reported in the literature. © 2014 Production and hosting by Elsevier B.V. on behalf of Ain Shams University.

Fulltext

Ain Shams Engineering Journal

Influence of heat transfer on MHD flow in a pipe with expanding or contracting permeable wall

An analysis is performed to study the effects of mass transfer and chemical reaction on laminar flow in a porous channel with moving or stationary walls. The governing equations are reduced to non-linear ordinary differential equations based on the physics of the flow. An analytical approach, namely, the homotopy analysis method (HAM) is applied in order to obtain the solutions of the ordinary differential equations. The convergence of the obtained series solutions is analyzed. The effects of various parameters on flow variables have been discussed. Comparisons of the HAM solutions with the numerical solutions using shooting method coupled with Runge-Kutta scheme are in excellent agreement. © 2013 Elsevier Ltd.

International Communications in Heat and Mass Transfer

Flow and mass transfer effects on viscous fluid in a porous channel with moving/stationary walls in presence of chemical reaction

The present study investigates the thermal-diffusion and diffusion-thermo effects of a viscous fluid in a two-dimensional channel between slowly expanding or contracting walls with weak permeability. Assuming symmetric injection or suction along the uniformly expanding porous walls and using similarity transformation, the governing flow equations are reduced to nonlinear ordinary differential equations. The resulting equations are then solved analytically using a perturbation technique in permeation Reynolds number and wall dilation ratio. The effects of various physical parameters on flow variables have been discussed numerically and explained graphically. © 2012 Elsevier Ltd. All rights reserved.

International Journal of Heat and Mass Transfer

A study on thermal-diffusion and diffusion-thermo effects in a two-dimensional viscous flow between slowly expanding or contracting walls with weak permeability

Mathematical and Computer Modelling

Effects of chemical reaction and space porosity on MHD mixed convective flow in a vertical asymmetric channel with peristalsis

A note on heat transfer to MHD oscillatory flow in an asymmetric wavy channel

Computers & Fluids

Scaling group transformation for boundary-layer flow of a nanofluid past a porous vertical stretching surface in the presence of chemical reaction with heat radiation

Communications in Nonlinear Science and Numerical Simulation

On the stagnation-point flow towards a stretching sheet with homogeneous–heterogeneous reactions effects

Analysis of heat and chemical reaction on an asymmetric laminar flow between slowly expanding or contracting walls

Journal	Data powered by TypesetHeat Transfer-Asian Research
Publisher	Data powered by TypesetWiley
ISSN	1099-2871
Open Access	No