please solve ( d , e and f) D= 2 W/cm.°CD= 3 W/cm.°CD=4 W/cm.°CD =0.4 W/cm. CD- 0.3 W/cm.°C25 °C45 °CThe thickness to the fin, z = 2 mm• The Hight of the fin, y = 90 cm• The width of the fin, x = 28 cmy6 cm 37Figure.2: Thin plate used as a fin in car radiator system1. Based on the given geometry information, provide justified explanation and recommendations to simplify theproblem from three-dimensional (3D) to one-dimensional (1D), consider the ratio z/x and y/x.2. Given that the problem can be modeled by the following differential equation:d?T- = 0, T(0) = 45°c and T(28) = 25°cdx²where D is thermal conductivity for each element. Make use of the 1D layout that is demonstrated in Figure.2,perform the followings:a. Construct one-dimensional elements line (i.e., grid/mesh line), make the correct numbering and labelingof nodes and elements.b. Construct grid/mesh information tablec. Calculate the nodal temperature values and the distribution through each element using element matrices-Galerkin's method.d. Find the heat flow rate, q for each element., If q is given by q = De. Would you increase (refine) the number of nodes/elements for this problem, explain you answer?f. Justify your mesh/grid divisions for this problem in terms of complication of geometry or materialscompositions.dx Problem 4: A fin used in car radiator system is shown in Figure.2, the fin consists of composition of differentmartials. Your role is to simplify the problem and make use of FEA techniques to critically analyze the temperaturedistribution through the fin.

d. Find the heat flow rate, q for each element., If q is given by q =D e. Would you increase (refine) the number of nodes/elements for this problem, explain you answer? f. Justify your mesh/grid divisions for this problem in terms of complication of geometry or materials compositions.

d. Find the heat flow rate, q for each element., If q is given by q =D e. Would you increase (refine) the number of nodes/elements for this problem, explain you answer? f. Justify your mesh/grid divisions for this problem in terms of complication of geometry or materials compositions.

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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