Abdul Rahman Mohd Kasim

Effect of heat generation on free convection boundary layer flow of a viscoelastic fluid past a horizontal circular cylinder with constant surface heat flux

Effect of heat generation on free convection boundary layer flow of a viscoelastic fluid past a horizontal circular cylinder with constant surface heat flux has been investigated. The boundary layer equations are an order higher than those for the Newtonian (viscous) fluid and the adherence boundary conditions are insufficient to determine the solution of these equations completely. The governing equations are transformed into dimensionless non-similar equations by using a set of suitable transformations and solved numerically by the finite difference method along with Newtons linearization approximation. Computations are performed numerically by using Keller-box method by augmenting an extra boundary condition at infinity. We have focused our attention on the evaluation of velocity profiles, temperature profiles, shear stress in terms of local skin friction and the rate of heat transfer in terms of local Nusselt number for different values of heat generation parameter, viscoelastic parameter and the Prandlt number and the numerical results have been shown graphically.

The aligned magnetic field with convective boundary conditions over a stretching sheet in a viscous fluid

In this study, the aligned magnetic field on the flow of a viscous fluid over a stretching sheet with convective boundary conditions is analyzed. The governing nonlinear boundary layer equations is transformed into ordinary differential equations and then solved numerically by Keller-box method. The numerical solutions with different values of aligned angle, Prandtl number and magnetic field are presented graphically and tabular form. It is found that the velocity profile, skin friction coefficient and Nusselt number decreases with the increasing of aligned angle and magnetic field. Similarly, increment in Prandtl number decreases the temperature profile.

Mixed convection flow of viscoelastic fluid over a sphere under convective boundary condition embedded in porous medium

The investigation on mixed convection boundary layer of a viscoelastic fluid over a sphere which is embedded in porous medium under convective boundary condition is carried out in this paper. The boundary layer equations of viscoelastic fluid are an order higher than Newtonian (viscous) fluid and the adherence boundary conditions are insufficient to determine the solution of these equations completely. Hence, the augmentation on extra boundary conditions is needed in order to solve this problem. The governing partial differential equations are first transformed into non-dimensional forms and then solved numerically using the Keller-box method by augmenting extra boundary conditions at infinity. The numerical results obtained for limiting case are comparing with related outcomes in order to validate the present results. Results on the effects of the viscoelastic parameter in the presence of porosity and mixed convection on the skin friction and heat transfer as well as velocity and temperature profile have been discussed.

The effects of heat generation or absorption on MHD stagnation point of Jeffrey fluid

The analysis on the problem of heat generation/absorption effects on MHD stagnation point of Jeffrey Fluid is carried out. The governing partial differential equations are first transform as first order ordinary differential equation using similarity transformation before solving using numerical scheme called Keller-box. A comparative study with the previous results is made in order to verify the validation of the present results. The results for the skin friction and heat transfer coefficient as well as velocity and temperature profiles are presented and discussed in details for various values of heat generation/absorption parameter, magnetic parameter, Deborah number and Prandtl number.

Unsteady Mixed Convection Boundary Layer Flow past a Sphere in a Micropolar Fluid

The unsteady mixed convection flow over a sphere in a micropolar fluid is studied. The unsteadiness is due to an impulsive motion of the free stream. The governing boundary layer equations are first reduced into a non-dimensional form. The nondimensional equations are transformed into a set of non-similarity boundary layer equations. The solutions are obtained numerically using an efficient implicit finite-difference method known as the Keller-Box method. The algorithm for 3D Keller-Box method has been developed. The numerical results obtained are presented through tables and graphs. The results show that the parameters such as material, microrotation and mixed convection parameters for assisting and opposing cases have strong influence on the fluid motion.

Influence of aligned MHD on convective boundary layer flow of viscoelastic fluid

Effects of aligned Magnetohydrodynamics (MHD) on the mixed convection boundary layer flow of viscoelastic fluid past a circular cylinder with Newtonian heating is investigated. Appropriate transformation is applied to the governing partial differential equations to transform them into dimensionless forms which are then solved using finite difference method known as Keller box. For verification purpose, the preliminary numerical solutions of the model are compared with previous study with a particular condition that the magnetic and viscosity effect are both absent. With strong agreement between the previous and current results, the authors believe that the extended outcome produced from the present model is accurate. Findings from the study will be presented in tabular and graphical form.

MHD forced convective flow past a vertical plate: An automated solution approach

The forced convection flow in incompressible viscous fluid past a vertical plate is investigated with the effect of magnetic field. The governing equations are solved numerically using automated solution technique which is FEniCS. It is shown that the increasing of magnetic field strength lead to decrease the velocity but increase the temperature for cooled plate. Meanwhile for heated plate, increasing magnetic field strength lead to decrease the velocity and the temperature of the fluid.The forced convection flow in incompressible viscous fluid past a vertical plate is investigated with the effect of magnetic field. The governing equations are solved numerically using automated solution technique which is FEniCS. It is shown that the increasing of magnetic field strength lead to decrease the velocity but increase the temperature for cooled plate. Meanwhile for heated plate, increasing magnetic field strength lead to decrease the velocity and the temperature of the fluid.

Mixed convection boundary layer flow over a horizontal circular cylinder in a Jeffrey fluid

In this paper, the mixed convection boundary layer flow and heat transfer of Jeffrey fluid past a horizontal circular cylinder with viscous dissipation effect and constant heat flux is discussed. The governing nonlinear partial differential equations are transformed into dimensionless forms using the appropriate non-similar transformation. Numerical solutions are obtained by using the Keller-box method, which is proven well-tested, flexible, implicit and unconditionally stable. The numerical results for the velocity, temperature, skin friction coefficient and local Nusselt number are attained for various values of mixed convection parameter.

Unsteady boundary layer flow over a sphere in a porous medium

This study focuses on the problem of unsteady boundary layer flow over a sphere in a porous medium. The governing equations which consists of a system of dimensional partial differential equations is applied with dimensionless parameter in order to obtain non-dimensional partial differential equations. Later, the similarity transformation is performed in order to attain nonsimilar governing equations. Afterwards, the governing equations are solved numerically by using the Keller-Box method in Octave programme. The effect of porosity parameter is examined on separation time, velocity profile and skin friction of the unsteady flow. The results attained are presented in the form of table and graph.

The aligned magnetic field of a dusty fluid flow over a stretching sheet

In this study, the aligned magnetic field on the flow of a dusty fluid over a stretching sheet is analyzed. The governing nonlinear boundary layer equations is transformed into ordinary differential equations and then solved numerically by the Runge-Kutta Fehlberg fourth-fifth method (RKF45). The numerical solutions with different values of aligned angle, fluid particle interaction parameter and Prandtl number are presented in graphical form. It is found that, increasing aligned angle lead to the decreasing velocity profile while increasing the temperature profile for both fluid and dust phases respectively.