Question

above 80C. Unfortunately, it is not posse the preside the tank Team company X uses a long cylindrical tank toplosive liquid that can lite if its temperature is Contact with air can generate a sudden explosion. You recently hired by the company, have to show off your skills and find a way to estimate the temperature LLLLL T-176 TO) -T- TO) - T, -60°C -02 -2m -2.2 m T.-25°C 15 W/mK You have access to a thermocouple and can measure the temperature on the outside surface of the cylinder, Ti = 60°C. Checking some blueprints of the tank you know the inner radius is 2 m and the outer radius is 2.2 m and that the tank material has a conductivity of k 10 W/mK. You obviously know that convection and radiation to the outside have to be considered. With the same thermocouple you measure the ambient temperature to be T.-25°C and the temperature of the surroundings Tour - 17°C, and since you know there is natural convection around the tank surface you can safely guess that h 15 W/mK. Also, to be conservative you assume the emissivity of the wall to be 0.7. (8%) Starting with the appropriate general heat conduction equation, derive a simpler differential equation to describe this steady state problem. talk. b. (10%) Define the boundary conditions for this problem. b. (10%) Define the boundary conditions for this problem. d. (76) Compute the temperature at the inner surface of the cylinder, T6.) -T, which is approximately equal to the liquid temperature. Is the liquid fly stored

please show this step by step with

a)

b)

etc...

Answer 1

=> TIF 70-23°c <800 *solution :-) PAGES Considering the conditions with poleneters from the qu 41011 question 77-1)=T=? E-02 75 to 2) = 72 = 60c Isus=176 br 6 liquial To =250 he isolmak *@ Apply the Enelgy bolone equation by taking element &r= lot do Eg = 9, + des do 20 theologos 7 + 2 / 3 [orden or [14600159c] [ree interne [kme, e),] deze b. [-* *355 L4 (J5 27 KL 2 2 [r (1) de (only rodied director good) do o o 20 d Lo (45) do Banddy condition. TET, 8 Dr. At 8=82, T = T2 = 666 T-72 Q = 0 cand O cond well- Undel steedy state In 1981/anke T-60 10122.8 - 012211/27 XISA! PLEASE stable UPOTE much nere Its very neresley Liquid is