K. Jafar and R. Nazar and A. Ishak and I. Pop MHD Stagnation Point Flow towards a Shrinking Sheet with Suction in an UpperConvected Maxwell (UCM) Fluid
789 - 797
2014
8
5
International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering http://waset.org/publications/9998258
http://waset.org/publications/89
World Academy of Science, Engineering and Technology
The present analysis considers the steady stagnation point flow and heat transfer towards a permeable shrinking sheet in an upperconvected Maxwell (UCM) electrically conducting fluid, with a constant magnetic field applied in the transverse direction to flow and a local heat generation within the boundary layer, with a heat generation rate proportional to (TT)p Using a similarity transformation, the governing system of partial differential equations is first transformed into a system of ordinary differential equations, which is then solved numerically using a finitedifference scheme known as the Kellerbox method. Numerical results are obtained for the flow and thermal fields for various values of the stretchingshrinking parameter λ, the magnetic parameter M, the elastic parameter K, the Prandtl number Pr, the suction parameter s, the heat generation parameter Q, and the exponent p. The results indicate the existence of dual solutions for the shrinking sheet up to a critical value λc whose value depends on the value of M, K, and s. In the presence of internal heat absorption (Q<0) the surface heat transfer rate decreases with increasing p but increases with parameters Q and s when the sheet is either stretched or shrunk.
International Science Index 89, 2014