Shifted Chebyshev Collocation Method for the Solution of Boundary Layer Flow and Heat Transfer over an Exponential Shrinking Surface
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Abstract
The present investigation is to analysis the solution of steady state boundary layer flow and heat transfer past an exponential shrinking surface. The governing equations describes physics of the problem and are transformed into system of nonlinear ordinary differential equations through suitable similarity transformations. The similarity solutions of these equations are obtained by using semi-numerical technique, viz. shifted Chebyshev collocation method. The occurrence of dual solution is observed for both velocity and temperature profiles. The analysis shows, for particular range of mass suction parameter, boundary layer flow over an exponential shrinking sheet is exist and enhancement in mass suction parameter increases the skin friction coefficient for the upper branch solution and reverse behavior is observed for lower branch solution. Whereas, both the solutions of temperature profiles decrease with increasing values of the Prandtl number. The computed results are validated with the earlier finding and are comparable.
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