Chapter 6, Problem 6S.1P

Consider the control volume shown for the special case of steady-state conditions with $v=0,T=T\left(y\right),$ and $\rho =\text{const}\text{.}$

1. Prove that $u=u\left(y\right)$ if $v=0$ everywhere.
2. Derive thex-momentum equation and simplify it as much as possible.
3. Derive the energy equation and simplify it as much as possible.