TY - JFULL
AU - K. Jafar and R. Nazar and A. Ishak and I. Pop
PY - 2014/6/
TI - MHD Stagnation Point Flow towards a Shrinking Sheet with Suction in an Upper-Convected Maxwell (UCM) Fluid
T2 - International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering
SP - 788
EP - 797
EM - kjafar61@ gmail.com
VL - 8
SN - 1307-6892
UR - http://waset.org/publications/9998258
PU - World Academy of Science, Engineering and Technology
NX - International Science Index 89, 2014
N2 - The present analysis considers the steady stagnation point flow and heat transfer towards a permeable shrinking sheet in an upper-convected 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 (T-T)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 finite-difference scheme known as the Keller-box method. Numerical results are obtained for the flow and thermal fields for various values of the stretching/shrinking 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.
ER -