Analysis of Transient Conjugate Heat Transfer From a Hemispherical Plate During Liquid Jet Impingement

Transient heating of a hemispherical solid plate of finite thickness during impingement of a free liquid jet is studied. A constant heat flux is imposed at the inner surface of the hemispherical plate at t = 0 and heat transfer is monitored for the entire duration of the transient until a steady state condition is reached. Calculations are done for Re = 500–1500 and b/d_n = 0.083–1.5 using water (H₂O) as the coolant and various solid materials such as silicon, Constantan, and copper. It was found that the time for the plate to achieve the steady-state condition decreases and Nusselt number increases with Reynolds number. A plate material with higher thickness provides higher average Nusselt number and longer transient period.