ASSIGNMENT 2 - due Feb 27 Cross-section h-hop Fin h=0 3-D View of the System Top view h-hop r Wo h=hbot k=k 2 k=k r3 h=hpot Streaming fluid T T=85C,T= 15C, htop = 20W/(mC), hot = 35W/(mC), k = 25W/(mC), k = 50W/(mC) Wo=3 cm, r = 2.5 cm, r = 4 cm, r3 = 7 cm 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) For two fins whose cross-sections are shown calculate the temperature and the heat flux at any cross-section. Run the program for 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 rr r3. For a = 0 compare the numerical results against the analytical solution Ex , For an imperfect interface: jump condition on temperature using contact resistance and conservation of energy yield: h(T-T)=-k aT k =k ax ax Consider h=1500 W/(mK). ax