Given the following steady, two-dimensional velocity field. [Diberi medan halaju yang mantap dan dua dimensi.] V = (u, v) = (6x + 4y – 2)ĩ + (-6y + 4x – 5)j Is this flow field an incompressible flow? Prove your answer. [Adakah medan halaju ini adalah aliran tidak boleh mampat? Buktikan jawapan anda.] (i) Is this flow field irrotational? Prove your answer. [Adakah medan halaju ini adalah aliran tidak berputar? Buktikan jawapan anda.] (ii) (iii) Generate an expression for the velocity potential function if applicable. [Terbitkan satu ungkapan bagi fungsi keupayaan halaju jika boleh dilakukan.]

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Given the following steady, two-dimensional velocity field.
[Diberi medan halaju yang mantap dan dua dimensi.]
V = (u, v) = (6x + 4y – 2)i + (-6y + 4x – 5)j
%3D
(i)
Is this flow field an incompressible flow? Prove your answer.
[Adakah medan halaju ini adalah aliran tidak boleh mampat? Buktikan jawapan
anda.]
(ii)
Is this flow field irrotational? Prove your answer.
[Adakah medan halaju ini adalah aliran tidak berputar? Buktikan jawapan anda.]
(iii)
Generate an expression for the velocity potential function if applicable.
[Terbitkan satu ungkapan bagi fungsi keupayaan halaju jika boleh dilakukan.]
Transcribed Image Text:Given the following steady, two-dimensional velocity field. [Diberi medan halaju yang mantap dan dua dimensi.] V = (u, v) = (6x + 4y – 2)i + (-6y + 4x – 5)j %3D (i) Is this flow field an incompressible flow? Prove your answer. [Adakah medan halaju ini adalah aliran tidak boleh mampat? Buktikan jawapan anda.] (ii) Is this flow field irrotational? Prove your answer. [Adakah medan halaju ini adalah aliran tidak berputar? Buktikan jawapan anda.] (iii) Generate an expression for the velocity potential function if applicable. [Terbitkan satu ungkapan bagi fungsi keupayaan halaju jika boleh dilakukan.]
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