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(Solved): 12 Consider the tapered heat transfer pin shown in Figure P7.12a. The base of the pin is held at co ...
12 Consider the tapered heat transfer pin shown in Figure P7.12a. The base of the pin is held at constant temperature , while the lateral surfaces and tip are surrounded by a fluid media held at constant temperature . Conductance and the convection coefficient are known constants. Figure P7.12b shows the pin modeled as four tapered finite elements. Figure P7.12c shows the pin modeled as four constant cross-section elements with the area of each element equal to the average area of the actual pin. What are the pros and cons of the two modeling approaches? Keep in mind that use of four elements is only a starting point, many more elements are required to obtain a convergent solution. How does the previous statement affect your answer? (a) (b) (c) Figure P7.12
Expert Answer
Tapered Heat TransferIn the study of heat transfer, fins are surface that extend from an object to increase the rate of heat transfer to or from the environment by increasing convection. Thus, adding a fin to an object, increase the surface area and can sometimes be an economical solution to heat transfer problems