Heat flux in a plate A square plate R = 51x, y2: 0 x 1, 0
Chapter 14, Problem 64(choose chapter or problem)
Heat flux in a plate A square plate R = 51x, y2: 0 x 1, 0 y 16 has a temperature distribution T1x, y2 = 100 - 50x - 25y. a. Sketch two level curves of the temperature in the plate. b. Find the gradient of the temperature _ T1x, y2. c. Assume that the flow of heat is given by the vector field F = -_ T1x, y2. Compute F. d. Find the outward heat flux across the boundary 51x, y2: x = 1, 0 y 16. e. Find the outward heat flux across the boundary 51x, y2: 0 x 1, y = 16.
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