LIE GROUP ANALYSIS OF MHD NATURAL CONVECTION HEAT AND MASS TRANSFER FLOW OF A CASSON FLUID OVER AN INCLINED SURFACE WITH CHEMICAL REACTION

  • A. MAHDY
Keywords: Lie group, Casson fluid, chemical reaction, MHD, inclined surface

Abstract

Natural convective heat and mass transfer of a non-Newtonian fluid over an inclined surface with uniform magnetic field and chemical reaction has been investigated numerically. The Casson fluid model is used to characterize the nonNewtonian fluid behavior and the first order of chemical reaction is considered. Lie group analysis is employed to obtain the symmetries of the governing system of partial differential equations and they reduce them to a system of ordinary differential equations via scaling transformation. Numerical computations have been carried out using the fourth order Runge–Kutta scheme with shooting techniques with a systematic guessing values of F1´(0), F3´ and F4´(0). The procedure is repeated until we get the results up to the desired degree of accuracy, namely 10-5 .

Published
2015-03-31
Section
Heat and Mass Transfer