Midterm quiz 151C Thermosciences Convection heat transfer • Quiz is open book and open notes. 

You must finish the problems independently. No discussion is allowed. • Quiz is due Midnight Thursday 05/07. 

• Please define variables you use that are not in the problem statement, and clearly write down all assumptions you make.

 1. (30 points) Provide a brief answer to the following questions. a. For internal pipe flow, how does Tb (bulk temperature)

 increase along the pipe for: (i) constant wall heat flux, and (ii) constant wall temperature? Briefly explain. b. Comparing

 convection heat transfer coefficient of air and water, which one is usually higher and why? c. What’s the difference between 

the Nusselt number and the Biot number? 2. (30 points) Computer CPU chips have highly integrated IC circuits that lead to 

excessive heat generation during operation. Consider a 1 cm´1 cm CPU chip that generates a constant heat flux of qw = 40 W/cm2. 

Suppose we want to cool the CPU by blowing air over its surface using a fan. The air temperature is T∞ = 20 oC. 

The maximum air velocity that the fan can generate is 10 m/s. a. What is the average heat transfer coefficient over 

the CPU surface at the maximum air velocity? b. Is our proposed method sufficient to cool the CPU? The CPU chip will 

fail if it exceeds a wall temperature of 120 oC. The properties of air at 70 oC [/!] 1.03 " [/] 1009 [/] 0.029 [ ] 2.05´10-5 [#/] 2´10-5 [#/] 2.86´10-5 [−] 0.7 3. (40 points) A

heat exchanger is formed from a section of thin-walled copper tubing (total length = 12 m, diameter = 1.5 cm), 

which is used to reject heat from an internal water flow (flow rate = 0.01 kg/s, inlet temperature = 70 oC) to the 

ambient (still air at T∞ = 20 oC). It is placed horizontally. The flow is hydrodynamically and thermally fully developed. a. 

Calculate the inside average heat transfer coefficient ℎ$6666. You can assume that the wall temperature is close to the

 fluid temperature of 70 oC, and evaluate the properties at 340 K. This case is neither a constant wall temperature nor a

constant heat flux. For a rough approximation, we take the Nusselt number to be the average of the constant temperature

 and constant flux situations. b. Calculate the outside average heat transfer coefficient ℎ%666. Again, you can assume 

that the wall temperature is approximately 70 oC. c. What is the fluid temperature at the exit? d. What is the total

 heat energy released from the water to the ambient?