Please help! How to calculate this? PP$1)$ Flow over a flat plate $($Incropera ch$.7\mathrm{.}27\mathrm{.}3,$ The Flat Plate in Parallel Flow$)$ Consider parallel flow of air over a heated flat plate. The length of the plate is L $=1$ m and the width is W$.$ The free stream velocity and temperature of the air are u $=1$ m$/$s and T $=300$ K$,$ while the surface temperature of the plate is Ts $=350$ K$.$ What is the rate of heat transfer per unit width of the plate? Find fluid properties and the needed correlation from literature. The properties of air are evaluated at the film temperature Tf $=($T $+$ Ts$)/2=325$K $($ $=1\mathrm{.}087$kg$/$m$3,$ $=1\mathrm{.}80$x$105$m$2/$s$,$ k $=0\mathrm{.}0282$W$/$mK$,$ cp $=1007$J$/$kgK$,$ P r $=0\mathrm{.}6987).$

Here is some tips: First, the Reynolds number is calculated, which can be used to determine whether the flow is laminar or turbulent. The boundary layer is laminar at the beginning of the plate and develops parallel to the plate. The characteristic length is the length of the plate. There is a critical length, after which the flow becomes turbulent. Re $=$ Ul The critical Reynolds number in this case is about Rec $=5\mathrm{.}5105$ The thermal conductivity coefficient is obtained from Newton's law of cooling. To get coefficient for convection, calculate the Nusselt number from the correlation that fits that to the case. For laminar flow: Nu $=0\mathrm{.}644$Re $12$P r $13$ For turbulent flow: Nu $=0\mathrm{.}0296$Re $45$P r $13$ The correct answer should be around q $=200$ W$/$m