Temperature distribution along a three-dimensional slab was found to be T(x, y, z) = 300+ 40x² – 30y³ + 10z, where all quantities in SI units. Find the ratio of heat flux along x and y axes at the center of the slab (0.5, 0.5, 0.5). Indicate the direction of the heat transfer

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Temperature distribution along a three-dimensional slab was found to be
(1,1,1)
T(x, y, z) = 300 + 40x² – 30y³ + 10z,
1 m
where all quantities in SI units. Find the ratio of heat flux along x and y axes
at the center of the slab (0.5, 0.5, 0.5). Indicate the direction of the heat transfer
along x and y axes by drawing appropriate arrows in the schematic.
(0,0,0)
1m
X
Transcribed Image Text:Temperature distribution along a three-dimensional slab was found to be (1,1,1) T(x, y, z) = 300 + 40x² – 30y³ + 10z, 1 m where all quantities in SI units. Find the ratio of heat flux along x and y axes at the center of the slab (0.5, 0.5, 0.5). Indicate the direction of the heat transfer along x and y axes by drawing appropriate arrows in the schematic. (0,0,0) 1m X
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