In all numerical calculations for air take Cp = 1.01 kJ/kg K and y = 1.4. 1. The stagnation temperature equation for a l
Posted: Fri Jul 01, 2022 6:41 am
In all numerical calculations for air take Cp = 1.01 kJ/kg K and y = 1.4. 1. The stagnation temperature equation for a laminar boundary layer may be derived using the procedure below: (a) Starting from the general 2-D form of the kinetic energy equation, use the facts that (in the usual geometry for a boundary layer) (i) du/dy is the largest velocity gradient and (ii) pressure varies primarily along the a direction (if at all) to show that the kinetic energy equation becomes PD₁2 (²+0²3)]=-up Dt (1) dx (b) Using the same assumptions, plus the condition that temperature gradients in the y direction are much larger than those in z, show that the corresponding boundary-layer approximation of the enthalpy equation is pCp a (du dy dy k = +μ- DT ᏭᎢ . dp Ju +μ +u- Dt Əy² da ду 2 (2)