A velocity field is defined as follows which describes airflow V(x, y, z) = (2x −4z)i + (−2y+3z)j + (−4x+3y+az)k where a is a constant with a ‡ 0, x, y, z are in m, Vin m/s a) Show that the flow is compressible everywhere. b) Show that the flow is irrotational. c) At point (2, 2, 0), the air density is 1.2 kg/m³ and is decreasing at a rate of 0.004 (kg/m³)/m along the direction of the flow. Determine the value of a. (Note: Dbp = -0.004)

A velocity field is defined as follows which describes airflow V(x, y, z) = (2x −4z)i + (−2y+3z)j + (−4x+3y+az)k where a is a constant with a ‡ 0, x, y, z are in m, Vin m/s a) Show that the flow is compressible everywhere. b) Show that the flow is irrotational. c) At point (2, 2, 0), the air density is 1.2 kg/m³ and is decreasing at a rate of 0.004 (kg/m³)/m along the direction of the flow. Determine the value of a. (Note: Dbp = -0.004)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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