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* <\/em><\/strong> (T-T<\/em>)^{p<\/sup><\/em> 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,<\/em> the magnetic parameter M,<\/u><\/em> the elastic parameter K,<\/u><\/em> the Prandtl number Pr,<\/em> the suction parameter s,<\/em> the heat generation parameter Q<\/em>, and the exponent p.<\/em> The results indicate the existence of dual solutions for the shrinking sheet up to a critical value λc <\/sub>whose value depends on the value of M, K, <\/em>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<\/em> and s<\/em> when the sheet is either stretched or shrunk.<\/p>\r\n",
"references": null,
"publisher": "World Academy of Science, Engineering and Technology",
"index": "International Science Index 89, 2014"
}}*