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3.0 Let T: R³ R be a temperature function defined as T(x, y, z) = x² - y² + 2xyz. Find the heat flux through the unit sphere S: x² + y² + ² = 1, i.e. evaluate the following integral: 1₁-0 (-VT) ndA where n is the outward normal on S.

3.0 Let T: R³ R be a temperature function defined as T(x, y, z) = x² - y² + 2xyz. Find the heat flux through the unit sphere S: x² + y² + ² = 1, i.e. evaluate the following integral: 1₁-0 (-VT) ndA where n is the outward normal on S.

Advanced Engineering Mathematics
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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3.0 Let T: R³ R be a temperature function defined as T(x, y, z) = x² - y² + 2xyz. Find the heat flux through the unit sphere S: x² + y² + ² = 1, i.e. evaluate the following integral: (VT) -VT) ndA where n is the outward normal on S. y 18 15² so
Transcribed Image Text:3.0 Let T: R³ R be a temperature function defined as T(x, y, z) = x² - y² + 2xyz. Find the heat flux through the unit sphere S: x² + y² + ² = 1, i.e. evaluate the following integral: (VT) -VT) ndA where n is the outward normal on S. y 18 15² so
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