Chemically Reacting Ionized Radiative Fluid Flow Through an Impulsively Started Vertical Plate With Induced Magnetic Field

Numerical studies have been performed to examine the chemically reacting ionized fluid flow through a vertical plate with induced magnetic field. This study is performed for the cooling problem. To obtain the nondimensional non-similar momentum, the induced magnetic field, energy and concentration equations, usual nondimensional variables have been used. The numerical solutions for the velocity fields, induced magnetic fields, temperature distribution as well as concentration distribution are obtained for associated parameters using the explicit finite difference method. The local and average shear stresses, current densities, Nusselt number as well as the Sherwood number are also investigated. The obtained results are discussed with the help of graphs to observe effects of various parameters entering into the problem. Also the stability conditions of the explicit finite difference method are analyzed. Finally, a qualitative comparison of the present results with previously published results has been made

© IC-SCCE NUMERICAL SOLUTION OF THE BOUSSINESQ EQUATION USING SPECTRAL METHODS AND STABILITY OF SOLITARY WAVE PROPAGATION

Abstract. We study numerically the propagation and stability properties of solitary waves (solitons) of the Boussinesq equation in one space dimension, using a combination of finite differences in time and spectral methods in space. Our schemes follow very accurately these solutions, which are given by simple closed formulas and are known to be stable under small perturbations, for small enough velocities. Studying the interaction of two such solitons, we determine in the velocity parameter plane a sharp curve beyond which they become unstable. This is achieved by applying a precise criterion, which predicts when the observed amplitude growth of the waves is caused by a dynamical instability rather than the accumulation of numerical errors.

Aligned Magnetic Field and Radiation Effects on Biomagnetic Fluid over an Unsteady Stretching Sheet with Various Slip Conditions

The aim of the present study is to analyze the effects of aligned magnetic field and radiation on biomagnetic fluid flow and heat transfer over an unsteady stretching sheet with various slip conditions. The magnetic field is assumed to be sufficiently strong enough to saturate the ferrofluid, and the variation of magnetization is approximated by a linear function of temperature difference. The governing boundary layer equations with boundary conditions are simplified by suitable transformations. Numerical solution is obtained by using the bvp4c function technique in MATLAB software. The numerical results are derived for the velocity, temperature, the skin friction coefficient, and the rate of heat transfer. The evaluated results are compared with analytical study documented in scientific literature. The present investigation illustrates that the fluid velocity is decreased with the increasing values of radiation parameter, magnetic parameter, and ferromagnetic interaction parameter, though is increased as the Prandtl number, Grashof number, permeable parameter and thermal slip parameter are increased. In this investigation, the suction/injection parameter had a good impact on the skin friction coefficient and the rate of heat transfer