(b) Given that a is the surface of the solid G enclosed by cone 2-4-√√². and plane z -0. (1) Compute the flux of water flowing through the cone's and the circle's surfaces if the velocity vector, F= 3x + 3yj+6k. Assume that the unit normal vector is oriented outward (ii) Evaluate fF-nds by using Gauss's theorem.
(b) Given that a is the surface of the solid G enclosed by cone 2-4-√√². and plane z -0. (1) Compute the flux of water flowing through the cone's and the circle's surfaces if the velocity vector, F= 3x + 3yj+6k. Assume that the unit normal vector is oriented outward (ii) Evaluate fF-nds by using Gauss's theorem.
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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Step 1: State Gauss's Theorem :-
VIEWStep 2: Find flux across the cone surface in (i) :-
VIEWStep 3: Continue finding flux across cone :-
VIEWStep 4: Find Flux across circle surface in (i) :-
VIEWStep 5: Continue finding flux across circle surface :-
VIEWStep 6: Find flux using Gauss's Theorem in (ii) :-
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