1. Consider water at 27°C in parallel flow over an isother- mal, 1-m-long flat plate with a velocity of 2 m/s.
(a) Plot the variation of the local heat transfer coefficient, hx(x), with distance along the plate for three flow conditions corresponding to transition Reynolds numbers of (i) 5 X 105, (ii) 3 X 105, and (iii) 0 (the flow is fully turbulent).
(b) Plot the variation of the average heat transfer coef- ficient hx(x) with distance for the three flow condi- tions of part (a).
(c) What are the average heat transfer coefficients for the entire plate hL for the three flow conditions of part (a)?
2. Explain under what conditions the total rate of heat transfer from an isothermal flat plate of dimensions L X 2L would be the same, independent of whether parallel flow over the plate is directed along the side of length L or 2L. With a critical Reynolds number of 5 X 105, for what values of ReL would the total heat transfer be independent of orientation?