ASSIGNMENT 2 - due Feb 27 Cross-section h-hop h-top h=0 T k=k h-boot k=k r3 Streaming fluid T h=bbot Fin Top view 13 3-D View of the System 2 T = 85C, T = 15C, htop = 20W/(mC), hbot = 35W/(mC), k = 25W/(mC), k = 50W/(mC) W = 3 cm, r = 2.5 cm, r = 4 cm, 13 = 7 cm For two fins whose cross-sections are shown calculate the temperature and the heat flux at any cross-section. Run the program for a) a = 0 and b) = 12 Find the temperature at the cross-section where the fin changes shape. Plot the temperature as a function of r in rrr3. For a = 0 compare the numerical results against the analytical solution Consider both a perfect interface and an imperfect interface. For a perfect interface: continuous temperature and conservation of energy yield: T(x, y, z,t) = T(x, y, z,t) k Ox ax For an imperfect interface: jump condition on temperature using contact resistance and conservation of energy yield: h. (T-T)=-k, T , . Ox Consider h-1500 W/(mK). ax