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.

Srinivas Koppu

Department of Smart Computing

School of Information Technology and Engineering

Vellore Campus

Subramanyam Reddy A

Department of Mathematics

School of Advanced Sciences

Gupta A

Gulati S

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

International Communications in Heat and Mass Transfer

AbstractThe present study investigates the flow and heat transfer characteristics of blood carrying gold nanoparticles in a porous channel with moving/stationary walls in the presence of thermal radiation. Blood is considered as Newtonian fluid which is the base fluid and gold (Au) as nanoparticles. The governing equations are transformed into system of ordinary differential equations by using similarity transformations. The analytical solutions are obtained for the flow variables by employing homotopy analysis method (HAM). The analytical solutions are compared with the numerical solutions which are obtained by shooting technique along with Runge-Kutta scheme. It was noticed that there is a good agreement between analytical and numerical results. The influence of various parameters on velocity, temperature and heat transfer rate of gold-blood nanofluid has been discussed in detail. The temperature of the nanofluid increases with increasing the nanoparticle volume fraction. The heat transfer rate at the top wall increases with increasing nanoparticle volume fraction while it decreases for a given increase in radiation parameter.

Journal of Mechanics

Flow and Heat Transfer of Gold-Blood Nanofluid in a Porous Channel with Moving/Stationary Walls

In the present investigation, an analytical analysis has been carried out to study the influence of chemical reaction on MHD flow of a nanofluid in an expanding or contracting porous pipe in the presence of heat source/sink. The pipe wall expands or contracts uniformly at a time dependent rate. Similarity transformations have been invoked to reduce the governing flow equations into coupled nonlinear ordinary differential equations. An analytical approach, namely the homotopy analysis method (HAM) is employed to obtain the analytical solutions of the ordinary differential equations. The convergence of the obtained series solutions is analyzed. The effects of various physical parameters such as wall expansion ratio, Brownian motion parameter, thermophoresis parameter, Lewis number, chemical reaction parameter and heat source/sink parameter on flow variables have been discussed. Further, for the case of hydrodynamic viscous fluid, we find a good agreement between the HAM solutions and solutions already reported in the literature. © 2016 National Laboratory for Aeronautics and Astronautics

Fulltext

Propulsion and Power Research

MHD flow of a nanofluid in an expanding or contracting porous pipe with chemical reaction and heat source/sink

Journal of the Egyptian Mathematical Society

Thermal-diffusion and diffusion-thermo effects on MHD flow of viscous fluid between expanding or contracting rotating porous disks with viscous dissipation

An analytical study is conducted to present thermal radiation, Dufour, and Soret effects on unsteady viscous flow over a contracting cylinder. The coupled nonlinear partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations by using a suitable similarity transformation. The homotopy analysis method (HAM) and HAM with a nonhomogeneous term are employed to obtain analytical solutions for the system of coupled nonlinear ordinary differential equations. A significant reduction in the averaged square residual error is obtained when the nonhomogeneous term is introduced. A comparison between analytical and numerical solutions is presented for validation. The effects of various emerging parameters on flow variables are discussed. It is found that the temperature distribution increases with an increase in Dufour number, but decreases with an increase in Soret number. The concentration distribution decreases for a given increase in the Dufour number, but increases with an increase in Soret number. © 2014 American Society of Civil Engineers.

Journal of Aerospace Engineering

Influence of Thermal Radiation on Unsteady Flow over an Expanding or Contracting Cylinder with Thermal-Diffusion and Diffusion-Thermo Effects

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.

Ain Shams Engineering Journal

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

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.

Heat Transfer-Asian Research

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

Mathematical and Computer Modelling

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

Journal of Porous Media

HEAT TRANSFER THROUGH A POROUS SATURATED CHANNEL WITH PERMEABLE WALLS USING TWO-EQUATION ENERGY MODEL

Communications in Nonlinear Science and Numerical Simulation

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

International Journal of Heat and Mass Transfer

Effects of mass transfer on the stagnation point flow of an upper-convected Maxwell (UCM) fluid

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

Journal	Data powered by TypesetInternational Communications in Heat and Mass Transfer
Publisher	Data powered by TypesetElsevier BV
ISSN	0735-1933
Open Access	No