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ME - UY 4983: Finite Volume Method in Computational Fluid Dynamics
Exam Midterm
Mode Take-home – Deadline: 02/29/2024
Notes Submit your work and other supporting materials on Brightspace
Q1 (10 pts) A furnace wall consists of two layers: fire brick and insulating brick as shown in the figure below. The temperature inside the furnace is 3000°F (Tf) and the inner surface convection coefficient is 3.333x10-3 BTU/s-ft2-F (hi). The room temperature is 80°F (Ta) and the outer surface convection coefficient is 5.556x10-4 BTU/s-ft2-F (ho). Known the thermal conductivity of firebrick (Ki) and insulating brick (Ko) are 2.222x10-4 BTU/s-ft-F and 2.778x10-5 BTU/s-ft-F, respectively. Find the temperature on the inner and outer surfaces of the furnace wall.
Hint: the model can be meshed with 3 cells, 2 are used for the firebrick layer and 1 is for the insulating brick.
Q2 (20 pts) Use the backward-staggered grid with the SIMPLER algorithm to solve the following problem of inviscid flow in 2 integrations. Known the density of the fluid as 1 kg/m3.
