Transport Phenomena Question 1. As more and more components are placed on a single integrated circuit (chip), the amount ofheat that is dissipated continues to increase. However, this increase is limited by themaximum allowable chip operating temperature. Consider a 15 mm x 15 mm square chip.In order to improve the heat dissipation, a five by five array of copper pin fins are to bejoined to the outer surface of the chip. The fins have a diameter of1.5 mm and a length of 15mm. Cooling air can be supplied at To = 25°C, and the maximum allowable chip basetemperature is To = 75°C. The convective heat transfer coefficient is h= 250 W/m²-K, andthe copper has a thermal conductivity of k = 401 W/m•K.%3DConsider two cases: Case A: Convecting Tip, and Case B: Adiabatic TipAnd for each calculate the following at steady state:(a) Heat transfer rate from a single fin.(b) Efficiency of a single fin.(c) Total heat transfer rate of the array.

Given Data, AC = Area of the chip =15 mm X 15 mm =225 mm2 Number of fins, n =5 X 5 =25 d = Diameter…

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Engineering

Mechanical Engineering

Transport Phenomena Question

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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Transport Phenomena Question

1. As more and more components are placed on a single integrated circuit (chip), the amount of
heat that is dissipated continues to increase. However, this increase is limited by the
maximum allowable chip operating temperature. Consider a 15 mm x 15 mm square chip.
In order to improve the heat dissipation, a five by five array of copper pin fins are to be
joined to the outer surface of the chip. The fins have a diameter of1.5 mm and a length of 15
mm. Cooling air can be supplied at To = 25°C, and the maximum allowable chip base
temperature is To = 75°C. The convective heat transfer coefficient is h= 250 W/m²-K, and
the copper has a thermal conductivity of k = 401 W/m•K.
%3D
Consider two cases: Case A: Convecting Tip, and Case B: Adiabatic Tip
And for each calculate the following at steady state:
(a) Heat transfer rate from a single fin.
(b) Efficiency of a single fin.
(c) Total heat transfer rate of the array.

Exchange of mass, energy, charge, momentum, and angular momentum between observed and studied systems. Mass, momentum, and heat transport all share a very similar mathematical framework, and the parallels between them are exploited in the study of transport phenomena in various disciplines, including chemical engineering.

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