Variable-viscosity flows in channels with high heat
generation
期刊名称： Journal of Fluid Mechanics
作者： J. R. A. Pearson
年份： 2006年
期号： 第01期
摘要：This paper presents a similarity solution for plane channel flow of a very viscous fluid, whose viscosity is exponentially dependent upon temperature, when heat generation is very large. A dimensionless formulation of the problem involves two length scales (the depth h and length l, respectively, of the channel), one velocity scale (the mean velocity V of the fluid along the channel), the thermal conductivity k, thermal diffusivity k and viscosity V of the fluid, and the temperature coefficient b of the viscosity. From these, two important dimensionless groups arise, the Graetz number (Gz = Vh2/variable used in lambda
kl) and the Nahme–Griffith number (G = μ V2b/k). In the case of steady flow with G1 [double less-than sign] Gz1 [double less-than sign] 1 a thin thermal boundary layer of thickness proportional to Gz arises at each wall with an
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