Transport in ThermofluidsME220BHomework #2Problem 1:Review sections 25.7 and 29.3 in the notes. Consider a steady isobaric gas flow over a flat plate, as shown. The gas has temperature dependent properties: ρ, µ, pCand k. The only source of thermal energy is viscous heating. The surface of the plate is adiabatic. What assumptions are needed to put the momentum and heat equations into the forms given by: Momentum: xxxxyxyyyυυυρ υυµ∂∂∂∂+=∂∂∂∂Heat: 2xpxyTTTCkxyyyyυρυυµ∂∂∂∂∂+=+∂∂∂∂∂Transform the governing equations and appropriate boundary conditions using the variables defined by: xyψρυρ∞∂=∂, yxψρυρ∞∂= −∂, ( )fxUψην∞=, TTθ∞=and 0yUdyxρηνρ∞∞=. Make use of the relations:
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Fundamental physics concepts, µ T, Thermofluids ME220B Homework, steady isobaric gas