非ニュートン流体境界層流れにおける強制対流熱伝達

抄録

A theoretical analysis is proposed for the forced convective heat transfer from external surfaces immersed in non-Newtonian fluids of the power-law model. The integral method previously introduced for Newtonian fluids has been successfully extended to the non-Newtonian fluids over a flat plate and a wedge of an arbitrary included angle. The integral momentum and energy equations are transformed into a pair of characteristic equation, which can readily be solved for the velocity shape factor and boundary layer thickness ratio, once the exponents in the expressions for the power -low model. Falkner-Skan free stream velocity and wall temperature variation are specified. It has been also found that a closed-form asymptotic expression derived under the assumption of large prandtl number is valid practically for all power low fluids, hence, can be used for a speed and accurate estimation of the local heat transfer to non-Newtonian fluids. The agreement of the predicted results and exact solutions appears to be excellent. Discussions further extends to the case of uniform heat flux.