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.

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

Shukla A.K.

Fulltext

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

Ain Shams Engineering Journal

AbstractThe present study investigates the hydromagnetic pulsating nanofluid flow in a porous channel with thermal radiation. In this work, we considered water as the base fluid and silver (Ag), copper (Cu), alumina (Al2O3) and titanium dioxide (TiO2) as nanoparticles. The Maxwell-Garnetts and Brinkman models are used to evaluate the effective thermal conductivity and viscosity of the nanofluid. The governing equations are solved analytically and the influence of various parameters on velocity, temperature and heat transfer rate has been discussed through graphical results. From the results, it is found that the rate of heat transfer enhances with an increase of nanoparticle volume fraction. Further, the heat transfer rate is higher for silver nanoparticles as compared with copper, alumina and titanium dioxide.

Journal of Mechanics

A Study on Hydromagnetic Pulsating Flow of a Nanofluid in a Porous Channel With Thermal Radiation

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

A numerical study on unsteady, MHD, chemically reacting, free convective, and non-Darcy flow of Casson fluid over a cone placed vertically is presented. The flow regime is influenced by double dispersion effect. The Crank– Nicolson technique is employed to solve the coupled nonlinear partial differential equations. Graphical results are obtained for various controlling parameters present in the governing equations of the problem. The graphical results are very useful to analyze the influence of various controlling parameters on Casson fluid flow. The average skin friction, rate of heat transfer coefficient, and rate of mass transfer coefficient for sundry parameters have been presented in tables below. Results indicate that enhancing the Casson fluid parameter tends to decelerate fluid flow by increasing the plastic dynamic viscosity, whereas it enhances the shear stress in the flow regime. The double dispersion effects play a vital role on sensitive controlling of energy consumptions and species concentration in a small region near to cone and plate. © Springer Science+Business Media Singapore 2016.

Advances in Intelligent Systems and Computing Proceedings of Fifth International Conference on Soft Computing for Problem Solving

Influence of Double Dispersion on Non-Darcy Free Convective Magnetohydrodynamic Flow of Casson Fluid

The present study focuses the effects of double dispersion, non-uniform heat source/sink and higher order chemical reaction on unsteady, free convective, MHD Casson fluid flow over a vertical cone and flat plate saturated with porous medium. The extensively validated and unconditionally stable numerical solutions are obtained for the governing equations of two dimensional boundary layer flow by using the finite difference scheme of Crank-Nicolson type. The behavior of velocity, temperature and concentration distributions for various controlling parameters of this problem are graphically illustrated and discussed in detail. The average skin friction, Nusselt number and Sherwood number for sundry parameters are presented in tables. Results indicate that an increase in Casson fluid parameter is found to decelerate fluid flow by increasing the plastic dynamic viscosity whereas it enhances the shear stress in the flow regime. The temperature-dependent heat source/sink plays a vital role on controlling the heat transfer however the surface-dependent heat source/sink also has notable influence on the heat transfer characteristics. It is to be noted that higher order chemical reaction has the tendency to dilute the influence of chemical reaction parameter on the species concentration.

International Journal of Engineering Research in Africa

Unsteady Magnetohydrodynamic Casson Fluid Flow over a Vertical Cone and Flat Plate with Non-Uniform Heat Source/Sink

Physica Scripta

A new analytical approach for limit cycles and quasi-periodic solutions of nonlinear oscillators: the example of the forced Van der Pol Duffing oscillator

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.

Heat Transfer-Asian Research

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

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 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.

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

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

Journal	Data powered by TypesetAin Shams Engineering Journal
Publisher	Data powered by TypesetElsevier BV
ISSN	2090-4479
Open Access	Yes