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.

Srinivas Koppu

Department of Smart Computing

School of Information Technology and Engineering

Vellore Campus

Subramanyam Reddy A

Department of Mathematics

School of Advanced Sciences

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

International Journal of Heat and Mass Transfer

In this paper we discuss the MHD unsteady flow of a micropolar nanofluid through a vertical channel with expanding/contracting walls under the influence of nonlinear thermal radiation considering weak permeability. The PDEs of the governing problem are reduced into a set of ODEs by using self-similar transformations and are then solved numerically. Influence of flow parameters such as wall dilation ratio, permeability Reynolds number, micropolar parameters, thermal radiation parameter, nanofluid parameters etc. on the flow, thermal energy and volume fraction of nanoparticles has been discussed in detail. We trust that the results of this study are not only useful for industrial applications but also present a basic understanding of the physical model.

Defect and Diffusion Forum

Non Linear Radiative Flow of a Micropolar Nanofluid through a Vertical Channel with Porous Collapsible Walls

Journal of Porous Media

MHD COUETTE FLOW OF POWELL-EYRING FLUID IN AN INCLINED POROUS SPACE IN THE PRESENCE OF A TEMPERATURE-DEPENDENT HEAT SOURCE WITH CHEMICAL REACTION

The present note investigates the effects of chemical reaction and Soret effects on hydromagnetic laminar viscous pulsating flow in a porous channel with slip and convective boundary conditions. The governing equations are solved analytically and the expressions for velocity, temperature, concentration, Nusselt number and Sherwood number distributions are obtained. The effects of various pertinent parameters on flow variables have been discussed numerically and explained graphically. Analysis indicates that the temperature distribution decreases for a given increase in heat transfer Biot number and Prandtl number while it increases with an increase in Hartmann number. Further, the concentration distribution increases with an increase in the mass transfer Biot number, Soret number and the heat transfer Biot number, while it decreases for a given increase in the chemical reaction parameter. © 2014

Fulltext

Journal of King Saud University - Engineering Sciences

A note on thermal-diffusion and chemical reaction effects on MHD pulsating flow in a porous channel with slip and convective boundary conditions

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

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

Computers & Mathematics with Applications

Mixed convective heat and mass transfer in a vertical wavy channel with traveling thermal waves and porous medium

Applied Mathematics and Computation

The influence of heat and mass transfer on MHD peristaltic flow through a porous space with compliant walls

Applied Mathematical Modelling

Homotopy analysis method for the heat transfer in a asymmetric porous channel with an expanding or contracting wall

Communications in Nonlinear Science and Numerical Simulation

The influence of heat transfer on peristaltic transport of a Jeffrey fluid in a vertical porous stratum

Thermal-diffusion and diffusion-thermo effects on axisymmetric flow of a second grade fluid

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

Journal	Data powered by TypesetInternational Journal of Heat and Mass Transfer
Publisher	Data powered by TypesetElsevier BV
ISSN	0017-9310
Open Access	0