Question: 1. Develop an approximate solution of the energy equation for flow at a two-dimensional stagnation point for a fluid with very low Prandtl number, using the assumption that the thermal boundary layer is very much thicker than the momentum boundary layer. From this, develop an equation for heat transfer at the stagnation point of a circular cylinder in cross flow, in terms of the oncoming velocity and the diameter of the tube.

2. The potential flow solution for the velocity along the surface of a sphere with flow normal at a velocity V is

u_∞ = 3V sin Θ
        2

Do the same problem as the preceding one for the sphere.