above we assumed adiabatic boundary condtions for the temperature field: i.e., we prescribed the temperature gradient (z

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Above We Assumed Adiabatic Boundary Condtions For The Temperature Field I E We Prescribed The Temperature Gradient Z 1 (34.98 KiB) Viewed 14 times

above we assumed adiabatic boundary condtions for the temperature field: i.e., we prescribed the temperature gradient (zero) at the wall and then calculated what the wall temperature (T) would need to be. Another common application is that of an isothermal wall, where we instead prescribe the wall temperature (T) and try to determine the temperature gradient and hence heat flux at the wall. Note that the stagnation temperature equation is still given by To k +v дх Əy To pCp dy² = 8= (a) If the Prandtl number (Pr=uCp/k) is unity, comment on any similarities or resemblances between this equation and the momentum equation that governs the incompressible laminar boundary layer on a flat plate. Write that equation down from the discussion of Blasius theory in the class notes. (b) Define the non-dimensional quantity (4) To-Tw To-Tw (5) Show that this quantity satisfies the same boundary conditions as u/U.. at y = 0 and y = 00.