Fins, or extended surfaces, commonly are used in a variety of engineering applications to enhance cooling. Common examples include a motorcycle engine head, a lawnmower engine head, heat sinks used in electronic equipment, and finned-tube heat exchangers in room heating and cooling applications. For long fins, the temperature distribution along the fin is given by the exponential relationship: T T = (T -T Je-ma ambient base ambient where T = temerature(K) hp m VkA h= the transfer coeficient (W/m2 · K) p= perimeter of the fin (m) A= cross-section area of the fin (m²) k= thermal onductivity of the fin material x= distance from the base of the fin (m) What is the appropriate unit for k if the preceding equation is to be homogeneous in units? Show all steps of your work.

Fins, or extended surfaces, commonly are used in a variety of engineering applications to enhance cooling. Common examples include a motorcycle engine head, a lawnmower engine head, heat sinks used in electronic equipment, and finned-tube heat exchangers in room heating and cooling applications. For long fins, the temperature distribution along the fin is given by the exponential relationship: T T = (T -T Je-ma ambient base ambient where T = temerature(K) hp m VkA h= the transfer coeficient (W/m2 · K) p= perimeter of the fin (m) A= cross-section area of the fin (m²) k= thermal onductivity of the fin material x= distance from the base of the fin (m) What is the appropriate unit for k if the preceding equation is to be homogeneous in units? Show all steps of your work.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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PROBLEM: IVB-46 FROM THE BOOK: ENGINEERING THERMOFLUIDS, M. MASSOUD.