In a portion of the square, 2-D finite difference mesh shown, node 2 is located on an insulated edge. The thickness and thermal conductivity of the region are 1.50 mm and 20 W/m-K, respectively. If there is a point heat source of 1.2 W at node 2, calculate the steady temperature of node 2. T- 40°C T,- 52°C T,- 60°C ė̟- 1.2 W 8 = 1.50 mm k = 20 W/m-K

In a portion of the square, 2-D finite difference mesh shown, node 2 is located on an insulated edge. The thickness and thermal conductivity of the region are 1.50 mm and 20 W/m-K, respectively. If there is a point heat source of 1.2 W at node 2, calculate the steady temperature of node 2. T- 40°C T,- 52°C T,- 60°C ė̟- 1.2 W 8 = 1.50 mm k = 20 W/m-K

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter1: Basic Modes Of Heat Transfer

Section: Chapter Questions

Problem 1.10P: 1.10 A heat flux meter at the outer (cold) wall of a concrete building indicates that the heat loss...

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Question

In a portion of the square, 2-D finite difference mesh shown, node 2 is located on an
insulated edge. The thickness and thermal conductivity of the region are 1.50 mm and 20
W/m-K, respectively. If there is a point heat source of 1.2 W at node 2, calculate the steady
temperature of node 2.
T = 40°C
T, - 52°C
T, - 60°C
ė.- 1.2 W
8 = 1.50 mm
k = 20 W/m-K

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H.W.: Q1: Consider steady two-dimensional heat transfer in a long solid body whose cross section is given in the figure. The temperatures at the selected nodes and the thermal conditions at the boundaries are as shown. The thermal conductivity of the body is k = 45 W/m. °C, and heat is generated in the body uniformly at a rate of g = 6 x 106 W/m3. Using the finite difference method with a mesh size of Ax = Ay = 5.0 cm, determine (a) the temperatures at nodes 1, 2, and 3 and (b) the rate of heat loss from the bottom surface through a 1-m-long section of the body. . 200°C 5 cm 5 cm g=6x 10 W/m² 260 3 240 305 290 Insulation 1 Convection T₂= 20°C, h= 50 W/m² °C 350°C 325