Problem 2 (20 pts) Nearly all large-scale calculations, such as ChatGPT, need to be run on high-performance supercomputing clusters. These are stacks of computing nodes that take electricity and generate heat while performing calculations. Computing nodes will burn if the surface temperature T is too high. Therefore, cooling devices are essential for continuous service. An example of computing node is shown on the right. A computing node with a dimension of a = 10 cm, b = 15 cm, and c = 3 cm is anchored on a panel. A fan is used to send in cooling Cooling Fan Anchoring panel Node air at T = 20C. At steady state, the node has an electric power input of 100.0 W. There is no heat transfer between the node and panel in any mode. By choosing the correct model and making reasonable assumptions, answer the following: a) (5 pts) which heat transfer coefficient is appropriate to use under such scenario and why? Air Free convection Forced convection h(W/m K) 5 50 b) (13 pts) The node fails to work if its surface temperature is higher than 50 C. Is the current cooling setup sufficient? c) (2 pts) Can you name an alternative cooling method to make it more efficient?