Abstract
The effects of viscous dissipation on the onset of instability for longitudinal vortices in the thermal entrance region of a horizontal parallel-plate channel are studied by a numerical method for the case when the lower plate is heated isothermally and the upper one is cooled isothermally. Numerical results are obtained for Pr=0.1, 0.7, 10 and 100. It is found that viscous heating has a destabilizing influence. The effect is significant for large Prandtl number fluid (Pr≳10) but is insignificant for small Prandtl number fluid (Pr≲0.7). The viscous dissipation effects on thermal entrance region heat transfer for basic flow (without secondary flow) are also studied.
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