Problem $07\mathrm{.}024-$ Calculating Steady Rate of Heat Transfer

Water at $43\mathrm{.}3C$ flows over a large square plate at a velocity of $29c\frac{m}{s}.$ The plate is $1\mathrm{.}1$ m long $($in the flow direction$)$ and its surface is

maintained at a uniform temperature of $10\mathrm{.}0C.$ The width of the plate is $1\mathrm{.}1$ m $.$ Calculate the steady rate of heat transfer for the entire

width of the plate in watts $($W$).$ The properties of water at the film temperature of $\frac{T_S+T_{}}{2}=\frac{10+43\mathrm{.}3}{2}=27C$ are $=996\mathrm{.}6$

$k\frac{g}{m^3},k=0\mathrm{.}610\frac{W}{m}*C,=0\mathrm{.}854{10}^{-3}k\frac{g}{m}*s,$ and $Pr=5\mathrm{.}85$

The steady rate, of heat transfer per unit width of the plate is

W$.$