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A common procedure for cooling a high-performance computer chip involves joining the chip to a heat sink within which circular microchannels are machined. During operation, the chip produces a uniform heat flux
(a) Assuming that q is dispersed in the heal sink such that a uniform heat flux q:’ is maintained at the surface of each channel, obtain expressions for the longitudinal distributions 01’ the mean fluid.
(b) For
(c)A common objective in designing such heal sinks is to maximize
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Chapter 8 Solutions
Fundamentals of Heat and Mass Transfer
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- Determine the mean heat-transfer coefficient and the quantity of heat transferred in water flowing in a horizontal tube 3 mm in diameter (d) and 2 m long (l), if ω = 0.3 m/sec; tf = 60 deg C and tω = 20 deg C. Constants: @ tf = 60oC, λf = 0.567 kcal/m-hr-oC; νf = 0.478 x 10-6 m2/sec β = 5.11 x 10-4 1/oC and Prf = 2.98. @ tω = 20oC, Pr? = 7.02arrow_forwardWater going into a pipe with a tempeture of T1 and going out T2 . ambient tempeture is T0. flow rate q. Develop an expression for T2 ( based on heat transfer) Length of the pipe Lh0 - convective heat transfer coefficient of the airhW -convective heat transfer coefficient of the waterk- pipe thermal conductivity (W/m·K)d – pipe diameter Use any other varilable that you need and can be found online easily .arrow_forwardQ) A refrigerant at |-40^ C flows into a copper pipe (400 W/mK) of 10 mm ID and 14 mm OD. A 40 mm thick shell of thermocole (0.03 W/mK) is put on the pipe to reduce losses. Estimate the heat leakage to the refrigerant per meter length of pipe, if the ambient temperature is 40°C. Assume the external and internal heat transfer coefficients are 5 W/m?K and OW / (m ^ 2) * K respectively. Calculate the amount of refrigerant evaporated per hour taking its latent heat at - 40 degrees *C as 1390 kJ/kg.arrow_forward
- Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning
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