-- To calculate overall heat transfer coefficient
-- To develop a mathematical equation useful in designing a
heat exchanger

q = UA(Ta - Tb) (1)
q = hiA(Ta -
T1)

q = hoA(T2 - Tb)




Adding above three equations

From (1)




Similar
expression obtained when an overall thermal resistance is calculated

RT = Rconv1 + Rcond + Rconv2



Then


In cylindrical coordinates:
