Tutorial_8

Tutorial_8 - E9...

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Tutorial 8 A long rectangular bar of cross-section 12 cm by 8 cm is subjected to the thermal boundary conditions indicated in the sketch below. The ceramic rod has a thermal conductivity of g = 1 G± ²³ ´ ²³ . Assuming there is no temperature variation in the µ direction, predict the steady-state temperature distribution in the bar cross- section, ¶ = ¶·¸,¹º , using a finite difference scheme with Δ¸ = 3 cm and Δ¹ = 2 cm . ¹ ¸ (1) Insulated (3) ¶ = 0℃ (ice) (4) Cold air flow at » = 5℃ , h = 1 Wm -2 K -1 ¼ ½ = 10 G ± ¾ ¿ (2) input heat flux µ 12 cm 8 cm
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Unformatted text preview: E9 =1/(2/$B$1^2+2/$B$2^2)*((F9+D9)/$B$1^2+(E8+E10)/$B$2^2), copy over and down to G11 D9 =E9, copy down to D11 E8 =1/($B$3+$B$4/$B$2)*($B$4/$B$2*E9+$B$3*$B$6), copy over to G8 E12 =E11+$B$5*$B$2/$B$4, copy over to G12 H9 = 0, copy down to H11 A B C D E F G H 1 dx = 0.03 m 2 dy = 0.02 m 3 h = 1 W/m^2-K 4 k = 1 W/m-K 5 q0 = 10 W/m^2 6 TA = 5 C 7 8 8 1.279 1.081 0.686 9 6 1.204 1.204 1.002 0.600 0.000 10 4 1.219 1.219 1.013 0.601 0.000 11 2 1.326 1.326 1.116 0.687 0.000 12 0 1.526 1.316 0.887 13 y [cm] 14 x [cm] 0 3 6 9 12...
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This note was uploaded on 09/16/2011 for the course ME 303 taught by Professor Serhiyyarusevych during the Spring '10 term at Waterloo.

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Tutorial_8 - E9...

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