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) = 50e-x-Y; S consists of the faces of the cube |x|≤3, y ≤3, |z|≤3. The outward flux is (Type an exact answer.)
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) = 50e-x-Y; S consists of the faces of the cube |x|≤3, y ≤3, |z|≤3. The outward flux is (Type an exact answer.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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) = 50e-x-y
S consists of the faces of the cube |x|≤3, |y| ≤3, |z| ≤3.
The outward flux is
(Type an exact answer.)
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