M. Y. Malik

Mixed convection flow of MHD Eyring-Powell nanofluid over a stretching sheet: A numerical study

In the present analysis incompressible two dimensional mixed convection flow of MHD Eyring-Powell nanofluid over a stretching sheet is investigated numerically. The governing highly nonlinear partial differential equations are converted into ordinary differential equations by using a similarity approach. Numerical solutions of the nonlinear ordinary differential equations are found by using a shooting method. Effects of various parameters are displayed graphically for velocity, temperature and concentration profiles. Also quantities of practical interest i.e skin friction coefficient, Nusselt number and Sherwood number are presented graphically and tabularly.

The boundary layer flow of Casson nanofluid over a vertical exponentially stretching cylinder

In this paper, an analysis is carried out for the similarity solution of the steady boundary layer flow and heat transfer of a Casson nanofluid flowing over a vertical cylinder which is stretching exponentially along its radial direction. Using boundary layer approach and suitable similarity transformation the governing partial differential equations with the boundary conditions are reduced to a system of nonlinear ordinary differential equations. The resulting system is solved with the help of numerical technique, the Runge–Kutta Fehlberg method. The effects of important parameters such as Reynolds number, Prandtl number, Lewis number and the natural convection parameter are described through graphs.

Numerical Solution of MHD Stagnation Point Flow of Williamson Fluid Model over a Stretching Cylinder

Abstract The present paper deals with the numerical solution of magnetohydrodynamic (MHD) flow of Williamson fluid model over a stretching cylinder. The governing partial differential equation of Williamson fluid is converted into an ordinary differential equation using similarity transformations along with boundary layer approach, which is then solved numerically by applying the shooting method in conjunction with Runge–Kutta–Fehlberg method. The effect of different parameters on velocity profile is thoroughly examined through graphs and tables.

Effects of viscous dissipation on MHD boundary layer flow of Sisko fluid over a stretching cylinder

The present study concentrates on the analysis of magnetohydrodynamic boundary layer flow of Sisko fluid over continuously stretching cylinder. The viscous dissipation effect is assumed in heat equation. To modify the governing equations first boundary layer approximations are applied. After this simultaneous partial differential equations are converted into the ordinary differential equations by applying proper similarity transformations. To find the numerical solution of this system of ordinary differential equations shooting method is utilized. Graphs are plotted to figure out the characteristics of physical parameters on momentum and heat equations. The variations of all physical parameters on skin friction coefficient and local Nusselt number are displayed via figures and tables.

Numerical solution of Williamson fluid flow past a stretching cylinder and heat transfer with variable thermal conductivity and heat generation/absorption

In this article, Williamson fluid flow and heat transfer over a stretching cylinder is discussed. The thermal conductivity is assumed to be vary linearly with temperature. Heat generation/absorption effects are also taken into account. Modeled partial differential equations are converted into ordinary differential form by using appropriate transformations. Shooting method in conjunction with Runge-Kutta-Fehlberg method is used to find the solution of the problem. Moreover, the effects of different flow parameters γ, λ, ϵ, β and Pr on velocity and temperature profiles are shown graphically. Local Nusselt number and skin friction coefficient are shown in tabular and graphical form.

Numerical solution of MHD Sisko fluid over a stretching cylinder and heat transfer analysis

Purpose – The purpose of this paper is to examine the Sisko fluid model over a stretching cylinder with heat transfer and magnetohydrodynamics. Design/methodology/approach – The boundary layer approach is employed to simplify the governing equations. Suitable similarity transformations are used to transform the governing partial differential equations into ordinary differential equations. In order to solve this system of ordinary differential equations numerically, shooting method in conjunction with Runge-Kutta-Fehlberg method is used. Findings – The effects of physical parameters involved in velocity and temperature profiles are shown through graphs. It is observed that Sisko fluid parameter and curvature parameter enhances fluid velocity while motion of fluid is retarded by increasing magnetic field strength. Additionally temperature of fluid raise with curvature parameter while it fall down for larger values of Prandtl number. Skin friction coefficient and Nusselt number are computed and presented in ...

Flow of a Jeffery-Six Constant Fluid Between Coaxial Cylinders with Heat Transfer Analysis

In the present investigation we have discussed the flow of a Jeffrey-six constant incompressible fluid between two infinite coaxial cylinders in the presence of heat transfer analysis. The governing equations of Jeffrey-six constant fluid along with energy equation have been derived in cylindrical coordinates. The highly nonlinear equations are simplified with the help of non-dimensional parameters and then solved analytically with the help of homotopy analysis method (HAM) for two fundamental flows namely Couette and Generalized Couette flow. The effects of emerging parameters are discussed through graphs. The convergence of the HAM solution has been discussed by plotting h-curves.

Homogeneous-heterogeneous reactions in Williamson fluid model over a stretching cylinder by using Keller box method

This paper addresses the effect of homogeneous-heterogeneous reaction on Williamson fluid model over a stretching cylinder. The boundary layer partial differential equations are converted into ordinary differential equation by using suitable transformations. The non-linear ordinary differential equations are solved by using implicit finite difference Keller box technique. The effects of several pertinent parameters on velocity, temperature and concentration profiles are deliberated graphically. The behavior of skin friction coefficient and Nusselt number are examined through graphs.

Numerical Solutions of Peristaltic Flow of a Newtonian Fluid under the Effects of Magnetic Field and Heat Transfer in a Porous Concentric Tubes

In the present article, we have studied the effects of heat transfer on a peristaltic flow of a magnetohydrodynamic (MHD) Newtonian fluid in a porous concentric horizontal tube (an application of an endoscope). The problem under consideration is formulated under the assumptions of long wavelength and neglecting the wave number. A closed form of Adomian solutions and numerical solutions are presented which show a complete agreement with each other. The influence of pertinent parameters is analyzed through graphs

Magnetohydrodynamic flow of Sisko fluid over a stretching cylinder with variable thermal conductivity: A numerical study

In present study effects of magnetic field and variable thermal conductivity on Sisko fluid model are analyzed. The modeled partial differential equations are simplified by boundary layer approach. Appropriate similarity transformations are applied to transform governing partial differential equations into ordinary differential equations. Then these equations are solved numerically by shooting method in combination with Runge-Kutta-Fehlberg method. Comparison between present and previous computed results is presented via tables. The variations in fluid velocity and temperature are displayed through graphs for different values of Sisko fluid parameter, curvature parameter, magnetic field parameter, thermal conductivity parameter and Prandtl number. The effects of physical parameters on skin friction coefficient and local Nusselt number are exhibited with figures and tables.