C312 A SIMILARITY SOLUTION OF THE MICROPOLAR BOUNDARY LAYER FLOW AND HEAT TRANSFER PAST A WEDGE(Natural convection application)

概要

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The steady laminar flow of micropolar fluids over a wedge has been examined with constant surface temperature. The similarity variables found by Falkner and Skan are employed to reduce the streamwise-dependence in the coupled nonlinear boundary layer equations. Numerical solutions are presented using a fourth-order Runge-Kutta method and the distribution of velocity, micro-rotation, shear and couple stresses, temperature and Nusselt number across the boundary layer are plotted. These results are also compared with the corresponding flow problems for a Newtonian fluid. Numerical results show that for a constant wedge angle, the skin friction coefficient is lower for a micropolar fluid, as compared to a Newtonian fluid. For the case of the constant material parameter K, however, the boundary layer thickness for a micropolar fluid increases. Results also show that for a constant wedge angle with a given Prandtl number, Pr=1, the effect of increasing values of K results in an increasing thermal boundary thickness for a micropolar fluid, as compared with a Newtonian fluid. For the case of the constant material parameter K, however, the heat transfer rate for a micropolar fluid is lower than that of a Newtonian fluid.
一般社団法人日本機械学会の論文
2000-10-01