Answer to Question #184186 in Mechanical Engineering for Kadambala Aditya

Question

Considering incompressible and laminar flow over a heated flat plate for which local Nusselt number, is given as, Nu, 0.332 Re2 Pri Prove that average Nusselt number, Nu, 2 Nu, L where L is the length of the plate.

Answer 1

The heat transfer coefficient may be 

obtained from analytically derived values of 

the Nusselt number. The values differ 

slightly based upon the heating conditions. It is found that the Nusselt number can be 

expressed as:

Nu = hL/K, where L is the length of plate (m2*k) is the terminal conductivity of air (w/m2), h is the heat transfer coefficient, and Nu is

the Nusselt number. Heat transfer coefficient

for a flat plate can be determined by solving

the conservation of mass, momentum, and

energy equations (either approximately or

numerically). The appropriate parameters

may then be input to yield the following

analytical values for h