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程序代写案例-151C

时间：2021-05-04

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?

学霸联盟

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?

学霸联盟