Unsteady Dusty MHD Boundary Layer Flow Past A Sphere

Department of Mathematical Sciences, Faculty of Science, 81310 Johor Bharu, Johor, Malaysia

Abstract

The boundary layer problem for unsteady dusty Newtonian fluid flow through a sphere influenced by magnetic field has been investigated in this paper. The two fluid flow phases that will be discussed in this work are referred to as dusty. Including the fluid and dust phases in a two-phase flow can help us comprehend the interaction of dust particles in fluid flow better. Next, the impact of magnetohydrodynamics (MHD) on fluid flow will be important to researchers since it allows them to regulate systems like cooling systems by adjusting the magnetic field. Thus, by considering the influenced of magnetic field and the existence of dust particles will be examined in this paper. The mathematical model for fluid and dusty phases is developed using continuity and momentum equations. First order partial differential equations (PDEs) are obtained by applying suitable similarity transformations on higher order PDEs The Finite Difference Method (FDM), Newton's method, and the development of a block tridiagonal matrix are the main rules that are solved using the Keller Box method. The Keller Box procedure is programmed in MATLAB environment and analysed graphically. The results are discovered to be quite compatible with earlier research.