Engineering, 29.11.2019 06:31 lnc0500

Functionally graded materials are intentionally fabricated to establish a spatial distribution of properties in the final product. consider an l × l two-dimensional object with l = 20 mm. the thermal conductivity distribution of the functionally graded material is k(x) = 25 w/m·k +(9010 w/m5/2·k) x3/2. two sets of boundary conditions, denoted as cases 1 and 2, are applied.

(a) determine the spatially averaged value of the thermal conductivity k¯ . use this value to estimate the heat rate per unit length for cases 1 and 2.

(b) using a grid spacing of 2 mm, determine the heat rate per unit depth for case 1.

(c) using a grid spacing of 2 mm, determine the heat rate per unit depth for case 2.

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