Question $3(39)$

A horizontal pipe with a conductive heat transfer coefficient of $42\mathrm{.}9\frac{W}{m*K},$ inside diameter of $0\mathrm{.}102$ m and an outside diameter of $0\mathrm{.}114$ m transports water with an average bulk temperature of $100C$ from point A to point B$.$ The convective heat transfer coefficient between the water and the inner surface of the pipe is $3000\frac{W}{m^2}K.$ The temperature of the air around the pipe is $12C.$

Per meter length of the pipe, calculate the following:

a$)$ The heat loss from the pipe wall for natural convection heat transfer outside the pipe

b$)$ The outside pipe surface temperature for natural convection heat transfer outside the pipe $($and comment on whether another round of iteration is necessary to determine $T_s)$

c$)$ The heat loss from the pipe wall for forced convective heat transfer outside the pipe with wind blowing at $15\frac{m}{s}$ at right angles to the pipe

d$)$ The outside pipe surface temperature for forced convective heat transfer outside the pipe with wind blowing at $15\frac{m}{s}$ at right angles to the pipe $($and comment on whether another round of iteration is necessary to determine $T_s)$

Hint: Start with outside pipe temperature of $82C.$