A finite element mesh consisting of a rectangular and a triangular element is shown in Figure 8.21. The dimensions of the plate are in meters. A constant temperature T = 10°C is prescribed along the boundary y = 0. A constant and linear boundary flux as shown in Figure 8.21 is applied along the edges y = x + 2 and x = 0, respectively. The edge x = 2 is insulated. A point source P = 10 W is applied at (0, 2) m. The material is isotropic with k = 1 W °C-1 for element 1 and k = 2 W°C-¹ for element 2. Compute the nodal temperatures and fluxes at the two elements center points.

A finite element mesh consisting of a rectangular and a triangular element is shown in Figure 8.21. The dimensions of the plate are in meters. A constant temperature T = 10°C is prescribed along the boundary y = 0. A constant and linear boundary flux as shown in Figure 8.21 is applied along the edges y = x + 2 and x = 0, respectively. The edge x = 2 is insulated. A point source P = 10 W is applied at (0, 2) m. The material is isotropic with k = 1 W °C-1 for element 1 and k = 2 W°C-¹ for element 2. Compute the nodal temperatures and fluxes at the two elements center points.

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.

Chapter2: Steady Heat Conduction

Section: Chapter Questions

Problem 2.52P

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