problem4-62

problem4-62 - PROBLEM 4.62 KNOWN Edge of adjoining walls(k...

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PROBLEM 4.62 KNOWN : Edge of adjoining walls (k = 1 W/m K) represented by symmetrical element bounded by the diagonal symmetry adiabat and a section of the wall thickness over which the temperature distribution is assumed to be linear. FIND : (a) Temperature distribution, heat rate and shape factor for the edge using the nodal network with = Δ x = Δ y = 10 mm; compare shape factor result with that from Table 4.1; (b) Assess the validity of ssuming linear temperature distributions across sections at various distances from the edge. a SCHEMATIC : ASSUMPTIONS : (1) Two-dimensional, steady-state conduction, (2) Constant properties, and (3) Linear temperature distribution at specified locations across the section. ANALYSIS : (a) Taking advantage of symmetry along the adiabat diagonal, all the nodes may be treated as interior nodes. Across the left-hand boundary, the temperature distribution is specified as linear. The finite-difference equations required to determine the temperature distribution, and hence the heat rate, can e written by inspection.

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