Awatif A. Hendi

Stagnation-Point Flow and Heat Transfer of a Casson Fluid towards a Stretching Sheet

This article reports the flow of a Casson fluid in the region of stagnation-point towards a stretching sheet. The characteristics of heat transfer with viscous dissipation are also analyzed. The partial differential equations representing the flow and heat transfer of the Casson fluid are reduced to ordinary differential equations through suitable transformations. The flow is therefore governed by the Casson fluid parameter β, the ratio of the free stream velocity to the velocity of the stretching sheet a=c, the Prandtl number Pr, and the Eckert number Ec. The analytic solutions in the whole spatial domain have been computed by the homotopy analysis method (HAM). The dimensionless expressions for the skin friction coefficient and the local Nusselt number have been calculated and discussed.

Power law fluid model for blood flow through a tapered artery with a stenosis

Abstract In the present paper, blood flow through a tapered artery with a stenosis is analyzed, assuming the flow is steady and blood is treated as non-Newtonian power law fluid model. Exact solution has been evaluated for velocity, resistance impedance, wall shear stress and shearing stress at the stenosis throat. The graphical results of different types of tapered arteries (i.e. converging tapering, diverging tapering, non-tapered artery) have been examined for different parameters of interest. Some special cases of the problem are also presented.

New analytical method for the study of natural convection flow of a non‐Newtonian fluid

Purpose – The purpose of this paper is to discuss the natural convection flow of an incompressible third grade fluid between two parallel plates. The basic equations governing the flow are reduced to a nonlinear ordinary differential equation.Design/methodology/approach – The resulting nonlinear ordinary differential equation is solved by multi‐step differential transform method (MDTM).Findings – The obtained solutions in comparison with the numerical solutions (fourth‐order Runge‐Kutta) admit a remarkable accuracy.Originality/value – The analysis illustrates the validity and the great potential of the MDTM in solving nonlinear differential equations.

MHD Flow of an Oldroyd-B Fluid Through a Porous Channel

This paper discusses the hydromagnetic boundary layer flow of an Oldroyd-B fluid in a porous channel. Both suction and injection (blowing) cases are considered. Appropriate similarity transformations are invoked to convert the partial differential equations into ordinary ones. Homotopy analysis method (HAM) is used for the presentation of analytic solution of the nonlinear differential system. Graphical results provide the salient features of the embedded flow parameters which include the Reynolds number, the Deborah numbers, and the Hartman number. Comparison between the existing numerical solution in a Maxwell fluid and present deduced series solution in a limiting sense is excellent.

Magnetohydrodynamic Flow and Mass Transfer of a Jeffery Fluid over a Nonlinear Stretching Surface

This paper investigates the magnetohydrodynamic (MHD) boundary layer flow of a Jeffery fluid induced by a nonlinearly stretching sheet with mass transfer. The relevant system of partial differential equations has been reduced into ordinary differential equations by employing the similarity transformation. Series solutions of velocity and concentration fields are developed by using the homotopy analysis method (HAM). Effects of the various parameters such as Hartman number, Schmidt number, and chemical reaction parameter on velocity and concentration fields are discussed by presenting graphs. Numerical values of the mass transfer coefficient are also tabulated and analyzed.

SLIP EFFECTS ON PERISTALTIC TRANSPORT OF A MAXWELL FLUID WITH HEAT AND MASS TRANSFER

Analysis has been carried out to examine the heat and mass transfer effects on the magnetohydrodynamics (MHD) peristaltic flow in a channel with compliant walls. An incompressible Maxwell fluid occupies the porous space. Modified Darcys law and slip conditions are used in the problem formulation. Solutions for small wave number are derived. The effects of emerging parameters in the obtained solutions are displayed and discussed.

Peristaltic Flow of a Carreau Fluid in a Rectangular Duct

In the present investigation we have studied the peristaltic flow of a Carreau fluid in a rectangular duct. The flow is investigated in the wave frame of reference moving with the velocity c away from the fixed frame. The peristaltic wave propagating on the horizontal side walls of a rectangular duct is studied under long wave length and low Reynolds number approximation. The analytical solutions of velocity and pressure gradient have been found under lubrication approach with the help of Homotopy perturbation method. Graphical results are displayed to see the behavior of various emerging parameters of Carreau fluid. The comparison of the present work is also made with the existing literature. [DOI: 10.1115/1.4005727]

Analytical and Numerical Analysis of Vogel’s Model of Viscosity on the Peristaltic Flow of Jeffrey Fluid

In the present article, the effects of temperature-dependent viscosity on the peristaltic flow of Jeffrey fluid through the gap between two coaxial horizontal tubes was analyzed. The inner tube is maintained at a temperature T0 , and the outer tube has sinusoidal wave travelling down its wall and is exposed to temperature T1 . The governing problem is simplified using long-wave length and low Reynolds number approximations. Regular perturbation in terms of small viscosity parameter is used to get the expressions for the temperature and velocity for Vogel’s models of viscosity. The numerical solution of the problem has also been computed by a shooting method, and an agreement of numerical solutions and analytical solutions had been presented. The expressions for pressure rise and friction force are calculated numerically. Graphical results and trapping phenomenon is presented at the end of the paper to see the physical behavior of different parameters.

Simulation of heating scheme and chemical reactions on the peristaltic flow of an Eyring‐Powell fluid

Purpose – The purpose of this study is to examine the effects of heat and mass transfer on the peristaltic flow of Eyring‐Powell fluid in a diverging tube.Design/methodology/approach – The governing equations for Eyring‐Powell are modelled in cylindrical coordinates using long wavelength and low Reynolds number approximation. The resulting nonlinear differential equations are solved for velocity, temperature and concentration profile and pressure gradient using regular perturbation technique. Also, the numerical solutions for velocity profile have been computed employing finite difference technique. A comparative study is also presented for both the solutions.Findings – Numerical integration has been performed to get the expression of pressure rise and frictional forces. Graphical results have been presented for pressure rise, frictional forces, temperature and concentration profile for various physical parameters of interest for five considered wave forms.Originality/value – Trapping phenomena have been ...

MHD Squeezing Flow of a Micropolar Fluid Between Parallel Disks

The squeezing flow of an incompressible micropolar fluid between two parallel infinite disks is investigated in the presence of a magnetic flied. An analysis of strong and weak interactions has been carried out. Similarity solutions are derived by homotopy analysis method. The variation of dimensionless velocities are sketched in order to see the influence of pertinent parameters. Skin friction coefficient and wall couple stress coefficient have been tabulated. In addition, the derived results are compared with the homotopy perturbation solution in a viscous fluid.