Question

Problem 3: In a molten-salt nuclear reactor, radioactive liquid is flowing through a cylindrical pipe of diameter D. Fission in the liquid results in a uniform internal heat generation of à W/m3. The pipe wall also has a heater on it that can provide a uniform surface heating rate of q" W/m2. The radioactive liquid has a specific heat capacity of Cp J/kg-K, a mass flowrate of m kg/s, and an inlet temperature of Tm, Conduction in the fluid in the x-direction can be assumed to be negligible, conduction through the pipe wall is negligible, and the flow in the pipe is steady and fully developed. Using a differential control volume in the pipe, perform an energy balance to obtain a differential equation that describes the variation of the bulk temperature (Tm) as a function of x-distance along the pipe. What is the boundary condition? DO NOT SOLVE the differential equation Problem 3 T,

Answer 1

(Tm) ed steady aw is (ii) Conanction mHatuid inti cet a 3istamae Pipe as shown İnfix- →てhis elu nowdA subjected to unitoh m ttecd → 3a, applying ewyy Cons ervation

→ 3a, apelying ewh9 9、 Heattu

existing 위ui de 15 gusquitted 衣 tuo· dif@n RqnSoluing