For flow through a pipe of radius R, the velocity and temperature distribution are as follows:\(u\left( {r,x} \right) = {C_1},and\ T\left( {r,x} \right) = {C_2}{\left[{1 - (\frac{r}{R})^3} \right]}\), where C1 and C2 are constants. The bulk mean temperature is given by \({T_m} = \frac{2}{{{u_m}{R^2}}}\mathop \smallint \limits_0^R u\left( {r,x} \right)T\left( {r,x} \right)rdr,\)with Um being the mean velocity of flow. The value of Tm is

For flow through a pipe of radius R, the velocity and temperature dist

1.	For flow through a pipe of radius R, the velocity and temperature distribution are as follows:\(u\left( {r,x} \right) = {C_1},and\ T\left( {r,x} \right) = {C_2}{\left[{1 - (\frac{r}{R})^3} \right]}\), where C1 and C2 are constants. The bulk mean temperature is given by \({T_m} = \frac{2}{{{u_m}{R^2}}}\mathop \smallint \limits_0^R u\left( {r,x} \right)T\left( {r,x} \right)rdr,\)with Um being the mean velocity of flow. The value of Tm is
A.	\(\frac{{0.5{C_2}}}{{{U_m}}}\)
B.	0.5 C2
C.	0.6 C2
D.	\(\frac{{0.6{C_2}}}{{{U_m}}}\)
Answer» D. \(\frac{{0.6{C_2}}}{{{U_m}}}\)