the law of the wall for rough surface
 

Hi, I am trying to find the law of the wall for rough surface.We know that the traditional law of the wall tends to deal with the smooth wall,and also there is also the law of the wall on velocity for rough surface.but I need the law of the wall on temperature for rough surface.I have look for it for a long time.Anybody has some information about that and help me please. Thanks, maximus