In a particular application involving airflow over a heated surface, the boundary layer temperature distribution, t(y), may be approximated as:

[ t(y) - ts / t[infinity] - ts ] = 1 - e^( -pr (u[infinity]y / v) )

where y is the distance normal to the surface and the prandtl number, pr = cpu/k = 0.7, is a dimensionless fluid property.

a.) if t[infinity] = 380 k, ts = 320 k, and u[infinity]/v = 3600 m-1, what is the surface heat flux? is this into or out of the wall? (~-5000 w/m2 ,

b.) plot the temperature distribution for y = 0 to y = 0.002 m. set the axes ranges from 380 to 320 for temperature and from 0 to 0.002 m for y. be sure to evaluate properties at the film temperature.