Pipe temperature calculation

is any one help to solve this problem?

Water at a temperature of 20degree C and a pressure 8 bar enters a pipe of dia.0.2 cm.The Pipe uniformly heated with 5.0kW/m². Calculate the Temperature along the pipe for the pipe length of 20m. plot temperatuer as a function of the pipe length. m=0.5 kg/s

wasaimal@hotmail.com

 

Re: Pipe temperatuer calculation

I have no clue

 

Re: Pipe temperatuer calculation

Given
T_in = 20 C^0 Heat Flux = 5.0 kW/m^2
D = 0.2 cm X = Length = 20 m
Pressure = 8 bar Area = (πD^2)/4 = (3.14〖(0.002)〗^2)/4 = 3.14E-〖10〗^6 〖 m〗^2
Calculate
Calculate the Temperature along the pipe for the pipe length.
Plot Temperature as a function of the pipe length.
Energy balanced equation is valid for ant pipe length.
q’ (X) = m ̇ C_p (T_x - T_in)
T_x = T_in + (q’)/(mC_p ) ̇ X
= 20 + 0.0157/(0.5)4180 X = 20 + 7.511E-〖10〗^6 X (It’s a linear distribution along the pipe).

any one check and if i am on correct path?