Tariq Javed

FLOW OF AN EYRING-POWELL NON-NEWTONIAN FLUID OVER A STRETCHING SHEET

This article is devoted to the study of the boundary layer flow of a non-Newtonian fluid over a stretching sheet. The non-Newtonian behavior of the fluid is characterized by the constitutive equation due to Powell and Eyring (1944). A second-order approximation of the Eyring-Powell model is used to obtain the flow equations. A local similarity solution of the governing problem is obtained numerically using an implicit finite difference scheme known as the Keller box method. The influence of pertinent non-Newtonian fluid parameters M and λ on the velocity and skin-friction coefficient is analyzed through graphical and tabular results.

Stretching a Curved Surface in a Viscous Fluid

This work is concerned with the viscous flow due to a curved stretching sheet. The similarity solution of the problem is obtained numerically by a shooting method using the Runge–Kutta algorithm. The physical quantities of interest like the fluid velocity and skin friction coefficient are obtained and discussed under the influence of dimensionless curvature. It is evident from the results that dimensionless curvature causes an increase in boundary layer thickness and a decrease in the skin friction coefficient.

Non‐similar solution for rotating flow over an exponentially stretching surface

Purpose – This paper looks into the rotating flow of an incompressible viscous fluid over an exponentially stretching continuous surface. The flow is governed by non‐linear partial differential equations. A non‐similar solution is developed after transforming the governing equations using two different numerical techniques namely Keller‐box and shooting methods. The influence of the non‐dimensional local rotating parameter Ω on the velocity fields and skin friction coefficients is analyzed and discussed.Design/methodology/approach – In this paper, the authors have used the well‐known numerical methods, Keller‐box and shooting.Findings – It is observed that for the increase in the rotation velocity of the frame there is a reduction in the boundary layer thickness and an increase in the drag force at the surface.Originality/value – The present study is concerned with the boundary layer flow of a rotating viscous fluid over an exponentially stretching sheet. Numerical solutions are found. To the best of the ...

STRETCHING FLOWS WITH GENERAL SLIP BOUNDARY CONDITION

General slip boundary condition is used to solve the viscous incompressible flows induced by a stretching sheet. These flow problems corresponds to the planar and axisymmetric stretching. A similarity solution is developed by shooting method using Runge–Kutta algorithm. The results are graphically displayed and discussed under the influence of slip parameter and critical shear rate. The comparison of stretching flow problem subject to Naviers boundary condition in the planar case is made with the available numerical results in the literature.

An Analysis of Peristaltic Flow of a Micropolar Fluid in a Curved Channel

We analyze the two-dimensional peristaltic flow of a micropolar fluid in a curved channel. Long wavelength and low Reynolds number assumptions are used in deriving the governing equations. A shooting method with fourth-order Runge-Kutta algorithm is employed to solve the equations. The influence of dimensionless curvature radius on pumping and trapping phenomena is discussed with the help of graphical results. It is seen that the pressure rise per wavelength in the pumping region increases with an increase in the curvature of the channel. Moreover the symmetry of the trapped bolus destroys in going from straight to curved channel.

MHD Natural Convective Flow in an Isosceles Triangular Cavity Filled with Porous Medium due to Uniform/Non-Uniform Heated Side Walls

Abstract In this article, numerical simulations are carried out for fluid flow and heat transfer through natural convection in an isosceles triangular cavity under the effects of uniform magnetic field. The cavity is of cold bottom wall and uniformly/non-uniformly heated side walls and is filled with isotropic porous medium. The governing Navier Stokes equations are subjected to Penalty finite element method to eliminate pressure term and Galerkin weighted residual method is applied to obtain the solution of the reduced equations for different ranges of the physical parameters. The results are verified as grid independent and comparison is made as a limiting case with the results available in literature, and it is shown that the developed code is highly accurate. Computations are presented in terms of streamlines, isotherms, local Nusselt number and average Nusselt number through graphs and tables. It is observed that, for the case of uniform heating side walls, strength of circulation of streamlines gets increased when Rayleigh number is increased above critical value, but increase in Hartmann number decreases strength of streamlines circulations. For non-uniform heating case, it is noticed that heat transfer rate is maximum at corners of bottom wall.

Influence of Radiation on Non-Newtonian Fluid in the Region of Oblique Stagnation Point Flow in a Porous Medium: A Numerical Study

This article addresses the nonlinear radiation effect on two-dimensional oblique stagnation point flow in a porous medium. Constitutive equations of viscoelastic fluid are employed in the mathematical development of the relevant problem. The resulting nonlinear analysis is computed using Chebyshev Spectral Newton Iterative Scheme. A comparative study of present results with that of previous studies have been made in a limiting sense and shown through tabular values. Excellent agreement is noted which clearly shows that the used numerical scheme is stable and the results are highly accurate. Impact of sundry variables in the flow quantities of interest are discussed. It is observed that shearing parameter

Flow of a Giesekus Fluid in a Planar Channel due to Peristalsis

\gamma