You are given the velocity field: v = y2i - x2j + z2k Evaluate the divergence and curl of this field at the point (2, 1, 1) and use your answers to select the 2 options that describe the behaviour of in the immediate vicinity of (2, 1, 1). A. A net outward flow B. No net inflow or outflow C. A net inward flow D. A flow corresponding to a clockwise rotation about the z -axis when viewed from the positive z -axis E. A flow corresponding to an anticlockwise rotation about the z -axis when viewed from the positive z -axis F. A flow corresponding to no rotation about the z -axis
You are given the velocity field: v = y2i - x2j + z2k Evaluate the divergence and curl of this field at the point (2, 1, 1) and use your answers to select the 2 options that describe the behaviour of in the immediate vicinity of (2, 1, 1). A. A net outward flow B. No net inflow or outflow C. A net inward flow D. A flow corresponding to a clockwise rotation about the z -axis when viewed from the positive z -axis E. A flow corresponding to an anticlockwise rotation about the z -axis when viewed from the positive z -axis F. A flow corresponding to no rotation about the z -axis
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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You are given the velocity field:
v = y2i - x2j + z2k
Evaluate the divergence and curl of this field at the point (2, 1, 1) and use your answers to select the 2 options that describe the behaviour of in the immediate vicinity of (2, 1, 1).
A. A net outward flow
B. No net inflow or outflow
C. A net inward flow
D. A flow corresponding to a clockwise rotation about the z -axis when viewed from the positive z -axis
E. A flow corresponding to an anticlockwise rotation about the z -axis when viewed from the positive z -axis
F. A flow corresponding to no rotation about the z -axis
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