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Unformatted text preview: conduction equation using finitedifference methods and plot the temperature profile ( ° C, m) through the plate for the following boundary conditions: (a) ( ) ∞ = − = ∂ ∂ − T T h x T k x with T ∞ = 50 ° C and h = 2,000 W/m 2 ⋅ K T = 30 ° C at x = 0.050 m (b) ( ) ∞ = − = ∂ ∂ − T T h x T k x with T = 50 ° C and h = 2,000 W/m 2 ⋅ K ( ) ∞ = − = ∂ ∂ − T T h x T k x 050 . with T = 30 ° C and h = 1,000 W/m 2 ⋅ K Use a spatial increment of Δ x = 0.005 m. Note: You can check your solutions by setting h to a large value, i.e. 10 9 W/m 2 ⋅ K. This is equivalent to specifying a zero resistance for convective heat transfer at the surface, and T s → T . You have the analytical solution for these boundary conditions....
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 Fall '11
 staff
 Heat, Heat Transfer, 15 mm, 75 W, 0 °C, 1.41 W

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