The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate is given by \(\frac{{{T_w} - T}}{{{T_w} - {T_\infty }}} = a + b\frac{y}{L} + c{\left( {\frac{y}{L}} \right)^2}\), where y is measured perpendicular to the plate, L is the plate length, and a, b and c are arbitrary constants. Tw 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 \(Nu = \frac {q''}{{{T_w} - {T_\infty }}}\frac{L}{k}\) is equal to

The non-dimensional fluid temperature profile near the surface of a co

1.	The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate is given by \(\frac{{{T_w} - T}}{{{T_w} - {T_\infty }}} = a + b\frac{y}{L} + c{\left( {\frac{y}{L}} \right)^2}\), where y is measured perpendicular to the plate, L is the plate length, and a, b and c are arbitrary constants. Tw 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 \(Nu = \frac {q''}{{{T_w} - {T_\infty }}}\frac{L}{k}\) is equal to
A.	a
B.	b
C.	2c
D.	(b + 2c)
Answer» C. 2c