two dimensions, show tha divergence transforms as a scalar der rotations. [Hint: Use Eq. 1.29 to determine vy and √₂, and the method of cob. 1.14 to calculate the derivatives. Your aim is to show that ay/ay+av₂/az = vy/ay+avz/az.]
two dimensions, show tha divergence transforms as a scalar der rotations. [Hint: Use Eq. 1.29 to determine vy and √₂, and the method of cob. 1.14 to calculate the derivatives. Your aim is to show that ay/ay+av₂/az = vy/ay+avz/az.]
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![Problem 1.17 In two dimensions, show that the divergence transforms as a scalar
under rotations. [Hint: Use Eq. 1.29 to determine vy and ī, and the method of
Prob. 1.14 to calculate the derivatives. Your aim is to show that Əvy/əy + əv₂/əz =
avy/ay+avz/az.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdfbbf43f-b5c2-4d87-8106-243aab91da52%2F68d41fda-e332-48af-9a34-581156a267bb%2Fzouh6zh_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 1.17 In two dimensions, show that the divergence transforms as a scalar
under rotations. [Hint: Use Eq. 1.29 to determine vy and ī, and the method of
Prob. 1.14 to calculate the derivatives. Your aim is to show that Əvy/əy + əv₂/əz =
avy/ay+avz/az.]
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