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.
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter6: Fundamental Dimensions And Units
Section: Chapter Questions
Problem 25P
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For the fin equation described in Problem 6.25, if the units of T, h, P, A, and x are expressed in degrees Rankine (°R ) , Btu⋅hr ft2 °R, ft, ft2 , and ft, respectively, what are the appropriate units for thermal conductivity k if the fin equation is to be homogeneous in units? Show all steps of your work.
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