All the notes on Thermal boundary layer(TBL) explains the growth of TBL over a heated flat plate ie cooler fluid is flowing over a hotter plate (heat is flowing from the plate to the fluid).
How does the thermal boundary layer develop over a chilled plate, where hot fluid flows over a chilled plate. Also, Can you please direct me to any notes or text that deal with this?
Revers of a hot plate. the smaller the $P_r=\frac{momentum \ diffiusity}{thermal\ diffiusity},$
the thicker the TBL however the heat gradient is descending as opposed to a hot plate.
I will try to find links later, I got to run.
I don't know why you expect the development is any different. If you see the main page at Wikipedia about Thermal boundary layer the image is one of cooler fluid over a hotter plate.
In the opposite case (hotter fluid) the only difference is that the temperature gradient is mirrored across the vertical axis. However you still have high gradient near the wall, and lower gradient further away.
The only main difference, that you might see (although not often considered), is if gravity and the changing density is considered.
