Due date: November $17,2024$

A pipe in a manufacturing plant is transporting superheated vapor at a mass flow rate of $0\mathrm{.}3k\frac{g}{s}.$ The pipe is $10$ m long and has an imner diameter of $5$ cm and a wall thiekness of $6$ mm $.$ The pipe has a thermal condyctivity of $17\frac{W}{m}*K,$ and the inner pipe surface is at a uniform temperature of $120C.$ The temperature drop between the inlet and exit of the pipe is $7C,$ and the constant pressure specific heat of vapor is $2190\frac{J}{k}gC.$ If the air temperature in the manufacturing plant is $25C,$ determine the heat transfer coefficient because of convection between the outer pipe surface and the surrounding air.

Steam at $280C$ flows in a stainless steel pipe $)=(15\frac{W}{m}*K$ whose inner and outer diameters are $5$ cm and $5\mathrm{.}5$ cm $,$ respectively. The pipe is covered with $3-$em$-$thick glass wool insulation $)=(0\mathrm{.}038\frac{W}{m}*K.$ Heat is lost to the surroundings at $5C$ by natural convection and radiation, with a combined natural convection and radiation heat transfer coefficient of $22\frac{W}{m^2}*K.$ Taking the heat transfer cocfficient inside the pipe to be $80\frac{W}{m^2}K.$

a$)$ Determine the rate of heat loss from the steam per unit length of the pipe.

b$)$ Determine the temperature decrease between the inner pipe surface and the outer insulation surface.

$\{\begin{array}{c}\text{:}A=-D\\ L=(0\mathrm{.}05& \text{m}\text{i}\text{l}\text{l}\text{m})& =0\mathrm{.}137m^2\end{array}$

$R_1$ : pipe

$R_2$ : insulatio

A pipe in a manufacturing plant is transporting superheated vapor at a mass flow rate of $0\mathrm{.}3k\frac{g}{s}.$ The pipe is $10$ m long and has an inner diameter of $5$ cm and a wall thickness of $6$ mm $.$ The pipe has a thermal conductivity of $17\frac{W}{m}*K,$ and the inner pipe surface is at a uniform temperature of $120C.$ The temperature drop between the inlet and exit of the pipe is $7C,$ and the constant pressure specific heat of vapor is $2190\frac{J}{k}g*C.$ If the air temperature in the manufacturing plant is $25C,$ determine the heat transfer coefficient because of convection between the outer pipe surface and the surrounding air.