The forced convection problem for a developing thermal boundary layer in a parallel shear flow is studied. If the shear flow has a power-law velocity profile, exact similarity thermal boundary layer solutions in terms of Gamma functions can be found. Specifically, three types of thermal boundary conditions are considered: a step temperature change, a step flux change, and a concentrated heat source. The latter is also analogous to mass diffusion form an isolated source. The mixing index for mass diffusion is found exactly.
New Closed-Form Thermal Boundary Layer Solutions in Shear Flow With Power-Law Velocity
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received May 30, 2018; final manuscript received January 7, 2019; published online April 17, 2019. Assoc. Editor: Milind A. Jog.
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Wang, C. Y., and Chang, C. (April 17, 2019). "New Closed-Form Thermal Boundary Layer Solutions in Shear Flow With Power-Law Velocity." ASME. J. Heat Transfer. June 2019; 141(6): 064502. https://doi.org/10.1115/1.4042489
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