Question

Show that the boundary layer x-momentum equation given by \rho u \frac{\partial u}{\partial x}+\rho v \frac{\partial u}{\partial y}=-\frac{\partial p}{\partial x}+\rho g_{x}+\frac{\partial \tau}{\partial y} is dimensionally consistent. Here t is the

fluid shear-stress, gx is the component of gravity in x direction,u and v are velocities in x and y directions respectively.

Fig: 1

Fig: 2

Fig: 3