Question

Consider the same piping system. this time, the same pipe is buried underground. assuming that there is a constant heat flux of 100w/m^2 from the outer surfance of the pipe to the soil determine the exit temperature of the water.
a. 129.1
b. 111.1
c. 82.1
d. 68.1

Answer 1

Complete Question

Complete Question is attached below

Answer:

Option A

Explanation:

From the question we are told that:

inner Diameter of pipe $d_i=100^c$

Thickness $t=50mm$

Outer diameter of pipe $d_o=1.1m$

Length $l=5m$

Temperature $T_i=130^oC$

Generally the equation for Heat Balance is mathematically given by

$q*\pi d_oL=mC_p(T_i-T_o)$

Therefore

$T_o=T_i+\frac{q*\pi d_oL}{mC_p}$

$T_o=130+\frac{100*3.142 *1.1*5}{0.5*4000}$

$T_o=129.136^oC$

Therefore the exit temperature of the water.is $T_o=129.136^oC$

Option A