The heat flow vector field for conducting objects is F= -KVT, where T(x,y,z) is the temperature in the object and k is a constant that depends on the Compute the outward flux of F across the surface S for the given temperature distribution. Assume k = 1. T(x,y,z) = 50ex-Y; S consists of the faces of the cube x ≤ 1, y ≤ 1, z ≤ 1. The outward flux is (Type an exact answer.)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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The heat flow vector field for conducting objects is F= -KVT, where T(x,y,z) is the temperature in the object and k is a constant that depends on the material
Compute the outward flux of F across the surface S for the given temperature distribution. Assume k = 1.
T(x,y,z) = 50ex-Y; S consists of the faces of the cube (x) ≤ 1, y ≤ 1, (z) ≤ 1.
The outward flux is
(Type an exact answer.)
Transcribed Image Text:The heat flow vector field for conducting objects is F= -KVT, where T(x,y,z) is the temperature in the object and k is a constant that depends on the material Compute the outward flux of F across the surface S for the given temperature distribution. Assume k = 1. T(x,y,z) = 50ex-Y; S consists of the faces of the cube (x) ≤ 1, y ≤ 1, (z) ≤ 1. The outward flux is (Type an exact answer.)
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