Consider a source-sink pair of identical strength magnitudes m (but having opposite signs!) with separation 2a in the uniform incident flow with velocity U. This combination describes flow around an oval. Show expressions for the velocity potential and stream function of this flow in the polar coordinates. Determine positions l of the stagnation points on the x-axis (where total velocity is zero) as a function of m, a, and U.

Consider a 1.2 meter high and 2 meter wide glass window whose thickness is 6 mm and thermal conductivity is 0.78 w/m °c. the room temperature is maintained at 24 °c, while the outdoor temperature is -5 °c. the convective heat transfer coefficients on the inner and outer surfaces of the window are 10 w/m2 °c and 25 w/m2 °c respectively. (a) draw the thermal resistance network, etermine the steady rate of heat transfer t e glass window (c) determine the temperature of the inner surface of the window