(25 pts) Cooling a Titanium Ingot on the NASA International Space Station (ISS) We have a titanium alloy ingot (L=2m,D=30cm) on the NASA International Space Station (ISS) at an initial temperature of Ti=1250C. ISS is kept at 25C for the comfort of the astronauts and it is a zero-gravity environment. The ingot is placed in a vertical position for cooling. Titanium Alloy (1250C):k=12.9W/mK,=4450kg/m3,Cp=460J/kgK; M.P. =1668C. Thermal diffusivity ()=6.3106m2/sec; emissivity ()=0.25 Titanium Alloy Ingot: D=30.0cm,L=2.0m a) (10 pts) Determine the total heat transfer coefficient (htotal) for the cooling process. b) (15pts) Now consider the case where the ingot will be rotated about its axis (still in the vertical position) at a speed of 30rpm. Determine the new total heat transfer coefficient (htotal) for the cooling process. NOTE: Remember that angular velocity (v)=(2R)x( rotation speed) NOTE \#2: THINK about the geometry for this problem. Don't be fooled! 1) Sketch and Label the physical problem. 2) List ALL the Given information. 3) Clearly state your Assumptions 4) Indicate Figures, Tables, and correlations used to solve problems. 5) Show all work, including UNITS. *NOTE: In using Appendix use closest temperature. No need to interpolate. *