Q1. The material time derivative in the x and y direction for a 2D flow are given by: Dv Du du du du dt ex by +U +V ov Əv Ov +-+V ət ax by Dt Dt a) Explain the physical meaning of the different terms in the material time derivative. 2x²-2y² b) The velocity field of a fluid is given by u=4xy, and v=2(x² - y²). Find the acceleration in the x and y directions of a particle located at the following point (x = 1, y=-1). c) Can a fluid particle undergo acceleration in a steady flow? Explain very briefly.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Q1. The material time derivative in the x and y direction for a 2D flow are given by:
Du du du
du
Ov
Dv ov
Dt at
+u +v.
dt ax
Dt
dy
a) Explain the physical meaning of the different terms in the material time
derivative.
2x²-2y²
b) The velocity field of a fluid is given by u= 4xy, and v=2(x² - y²). Find the
acceleration in the x and y directions of a particle located at the following point
(x = 1, y = -1).
c) Can a fluid particle undergo acceleration in a steady flow? Explain very briefly.
Ov
+u+v.
dx ду
Transcribed Image Text:Q1. The material time derivative in the x and y direction for a 2D flow are given by: Du du du du Ov Dv ov Dt at +u +v. dt ax Dt dy a) Explain the physical meaning of the different terms in the material time derivative. 2x²-2y² b) The velocity field of a fluid is given by u= 4xy, and v=2(x² - y²). Find the acceleration in the x and y directions of a particle located at the following point (x = 1, y = -1). c) Can a fluid particle undergo acceleration in a steady flow? Explain very briefly. Ov +u+v. dx ду
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