The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate is given by

Tω - T	= a + b	y	c +		y		²
Tω - T∞		L			L

where y is measured perpendicular to the plate, L is the plate length, and a, b and c are arbitrary constants. T_w and T_∞ are wall and ambient temperatures, respectively. If the thermal conductivity of the fluid is k and the wall heat flux is q', the Nusselt number

Nu =	q"	L	is equal to
	Tw - T∞	K