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首页> 外文期刊>Journal of Heat Transfer >Non-newtonian Natural Convection Along A Vertical Heated Wavy Surface Using A Modified Power-law Viscosity Model
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Non-newtonian Natural Convection Along A Vertical Heated Wavy Surface Using A Modified Power-law Viscosity Model

机译：使用修正的幂律粘度模型沿垂直加热波浪表面的非牛顿自然对流

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摘要

Natural convection of non-Newtonian fluids along a vertical wavy surface with uniform surface temperature has been investigated using a modified power-law viscosity model. An important parameter of the problem is the ratio of the length scale introduced by the power-law and the wavelength of the wavy surface. In this model there are no physically unrealistic limits in the boundary-layer formulation for power-law, non-Newtonian fluids. The governing equations are transformed into parabolic coordinates and the singularity of the leading edge removed; hence, the boundary-layer equations can be solved straightforwardly by marching downstream from the leading edge. Numerical results are presented for the case of shear-thinning as well as shear-thickening fluid in terms of the viscosity, velocity, and temperature distribution, and for important physical properties, namely, the wall shear stress and heat transfer rates in terms of the local skin-friction coefficient and the local Nusselt number, respectively. Also results are presented for the variation in surface amplitude and the ratio of length scale to surface wavelength. The numerical results demonstrate that a Newtonian-like solution for natural convection exists near the leading edge where the shear-rate is not large enough to trigger non-Newtonian effects. After the shear-rate increases beyond a threshold value, non-Newtonian effects start to develop.
机译：已使用修正的幂律粘度模型研究了沿表面温度均匀的垂直波浪表面非牛顿流体的自然对流。问题的一个重要参数是幂律所引入的长度比例与波浪形表面的波长之比。在此模型中，幂律非牛顿流体的边界层公式没有物理上不切实际的限制。控制方程被转换成抛物线坐标，并且前缘的奇异性被消除。因此，边界层方程可以通过从前沿向下游行进来直接求解。对于剪切稀化和剪切增稠流体的粘度，速度和温度分布，以及重要的物理特性，即壁剪切应力和传热速率，均给出了数值结果。局部皮肤摩擦系数和局部Nusselt数。还给出了表面振幅和长度标度与表面波长之比变化的结果。数值结果表明，自然对流的牛顿型解存在于前缘附近，那里的剪切速率不足以触发非牛顿效应。在剪切速率增加到超过阈值之后，非牛顿效应开始发展。

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