Ahmad Qushairi Mohamad

Second Grade Fluid for Rotating MHD of an Unsteady Free Convection Flow in a Porous Medium

Rotating effects and magnetohydrodynamic (MHD) free convection flow of second grade fluids in a porous medium is considered in this paper. It is assumed that the bounding infinite inclined plate has ramped wall temperature with the presence of heat and mass diffusion. Based on Boussinesq approximation, the analytical expressions for dimensionless velocity, temperature and concentration are obtained by using the Laplace transform method. All the derived solutions satisfying the involved differential equations with imposed boundary and initial conditions. The influence of various parameters on the velocity has been analyzed in graphs and discussed.

The unsteady free convection flow of second grade fluid in rotating frame with ramped wall temperature

In this paper, the unsteady free convection flow of second grade fluid in a vertical frame with ramped wall temperature is investigated. The governing equations are modeled in a rotating frame where both the fluid and frame rotate in unison with angular velocity. The exact solutions in terms of velocity and temperature are obtained analytically by using Laplace transform method. These solutions are presented graphically and discussed for second grade fluid parameter (α) and rotation parameter (ω).

Exact solutions for unsteady free convection flow over an oscillating plate due to non-coaxial rotation

AbstractBackgroundNon-coaxial rotation has wide applications in engineering devices, e.g. in food processing such as mixer machines and stirrers with a two-axis kneader, in cooling turbine blades, jet engines, pumps and vacuum cleaners, in designing thermal syphon tubes, and in geophysical flows. Therefore, this study aims to investigate unsteady free convection flow of viscous fluid due to non-coaxial rotation and fluid at infinity over an oscillating vertical plate with constant wall temperature.MethodsThe governing equations are modelled by a sudden coincidence of the axes of a disk and the fluid at infinity rotating with uniform angular velocity, together with initial and boundary conditions. Some suitable non-dimensional variables are introduced. The Laplace transform method is used to obtain the exact solutions of the corresponding non-dimensional momentum and energy equations with conditions. Solutions of the velocity for cosine and sine oscillations as well as for temperature fields are obtained and displayed graphically for different values of time (t ), the Grashof number (Gr), the Prandtl number (

Analytical solution for unsteady second grade fluid in presence of non-coaxial rotation

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Heat Transfer On Mixed Convection Flow Of Rotating Second Grade Fluid With Ramped Wall Temperature

Pr), and the phase angle (

Unsteady free convection flow of rotating MHD second grade fluid in a porous medium over an oscillating plate

\omega t