$13\mathrm{.}11\mathrm{.}2024$

Heat Transfer Homework

An infinite depth metallic board of density $,$ thermal conductivity k $,$ and specific heat c $,$ has an initial uniform temperature of $T_i$ temperature. It is being cooled through water hitting on its single plane surface, while other surfaces of the board are quite far to affect the temperature variation in the positive x $-$direction. Water hitting the surface is of temperature $T_{}.$ The convection heat transfer $(h_{})$ over the surface is quite high $($infinite$)$ and uniform throughout the surface. With the assumption that surface temperature being constant during the cooling period, determine the time required for the temperature to reach $T(L)$ at a distance L from the board surface. Calculate heat flux applied on the surface at this moment.

$\backslash$table$[[,[k\frac{g}{m^3}],k[\frac{W}{m}C]|c[\frac{J}{k}gK]||,T_i[C],T_{}[C],L[mm],T(L)[C],],[$Group $3,7150,46,380,300,14,19,64]]$