Open AccessLIE GROUP ANALYSIS OF MHD NATURAL CONVECTION HEAT AND MASS TRANSFER FLOW OF A CASSON FLUID OVER AN INCLINED SURFACE WITH CHEMICAL REACTION
Author(s) -
A. MAHDY
Publication year - 2015
Publication title -
latin american applied research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.123
H-Index - 23
eISSN - 1851-8796
pISSN - 0327-0793
DOI - 10.52292/j.laar.2015.381
Subject(s) - mass transfer , ordinary differential equation , natural convection , magnetohydrodynamics , shooting method , partial differential equation , fluid dynamics , flow (mathematics) , mechanics , group (periodic table) , heat transfer , physics , mathematics , thermodynamics , magnetic field , differential equation , mathematical analysis , boundary value problem , quantum mechanics
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 .