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From your work in Q.2, obtain the polarization relations for two-dimensional internal gravity waves (ƒ = 0), i.e. express the corresponding solutions for the û, ê/ē‚ê/po fields in terms of ŵ. Assuming that w' takes cosine form, sketch the relative waveforms of the 3 remaining fields. In deriving the gravity wave equations, we showed the relative density pertur- bation P/Po=0/0+ p'/Poc² Using the results of Q.3a, establish the conditions for which |0′ /ē| » \p′ / Poc²|. [Hint: show that the ratio of |0'/7| to p'/poc²| is proportional to mH where H is the isothermal scale height, and consider the relation between k, m and the angle a.] [HH5 5.8]

From your work in Q.2, obtain the polarization relations for two-dimensional internal gravity waves (ƒ = 0), i.e. express the corresponding solutions for the û, ê/ē‚ê/po fields in terms of ŵ. Assuming that w' takes cosine form, sketch the relative waveforms of the 3 remaining fields. In deriving the gravity wave equations, we showed the relative density pertur- bation P/Po=0/0+ p'/Poc² Using the results of Q.3a, establish the conditions for which |0′ /ē| » \p′ / Poc²|. [Hint: show that the ratio of |0'/7| to p'/poc²| is proportional to mH where H is the isothermal scale height, and consider the relation between k, m and the angle a.] [HH5 5.8]

Applications and Investigations in Earth Science (9th Edition)
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
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(a) From your work in Q.2, obtain the polarization relations for two-dimensional internal gravity waves (f = 0), i.e. express the corresponding solutions for the û, ê/ē,p/po fields in terms of ŵ. Assuming that w' takes cosine form, sketch the relative waveforms of the 3 remaining fields. (b) In deriving the gravity wave equations, we showed the relative density pertur- bation p/po = -0¹/0+ p'/poc/² Using the results of Q.3a, establish the conditions for which |0'/ē| » \p'/Poc²|. [Hint: show that the ratio of |0'/ē to p'/poc² is proportional to mH where H is the isothermal scale height, and consider the relation between k, m and the angle a.] [HH5 5.8]
Transcribed Image Text:(a) From your work in Q.2, obtain the polarization relations for two-dimensional internal gravity waves (f = 0), i.e. express the corresponding solutions for the û, ê/ē,p/po fields in terms of ŵ. Assuming that w' takes cosine form, sketch the relative waveforms of the 3 remaining fields. (b) In deriving the gravity wave equations, we showed the relative density pertur- bation p/po = -0¹/0+ p'/poc/² Using the results of Q.3a, establish the conditions for which |0'/ē| » \p'/Poc²|. [Hint: show that the ratio of |0'/ē to p'/poc² is proportional to mH where H is the isothermal scale height, and consider the relation between k, m and the angle a.] [HH5 5.8]
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