ANALYSIS OF MHD FREE STREAM FLOW AND HEAT TRANSFER OVER STRETCHING SURFACES

Abstract

Flow and heat transfer over stretching surfaces play a vital role in a wide range of applications in engineering and manufacturing processes such as production of polymers of definite cross-sectional outlines, tempering of metallic and glass plates, the production of sheeting material and the scooping of strips which are extruded from a die etc. newlineThe thesis includes the analysis of MHD (magnetohydrodynamics) free stream velocity on flow and heat transfer characteristics over different types of stretching surfaces. Here, the analysis has been done on steady/unsteady linearly stretching sheet, non-linearly stretching sheet and stretching cylindrical surfaces. These problems have been discussed in five chapters of the thesis. newlineIn the third chapter, the effect of MHD free stream velocity has been investigated over steady linearly stretching sheet with variable heat flux. The same effect over a unsteady stretching sheet in presence of radiation with variable fluid properties has been analyzed in the fourth chapter. In the next chapter, the MHD free stream effect has been analyzed with variable fluid properties over non-linearly stretching sheet. Later on, the effect of MHD free stream velocity on flow and heat transfer over a stretching cylinder has been analyzed and reported the existence of dual solution (stable solution and unstable solution) in the flow analysis. Finally, the same effect has been investigated over a stretching cylinder with partial slip flow. newlineTo solve the mathematical problems, similarity variables are used to transform the partial differential equations into ordinary differential equations. In all of the above analysis, the ordinary differential equations have been solved numerically using Runge-Kutta Fehlberg method with the help of shooting technique. The effect of MHD free stream velocity with various other fluid parameters on heat transfer and flow characteristics has been analyzed and shown through figures and tables. The results of the analysis provide deeper insight into flow and heat transfer characteristics and help in improving quality of final products in various engineering and manufacturing processes. newline