Show that the equation of continuity in fluid mechanics satisfies dimensional homogeneity. In fluid mechanics, the differential form of the equation of continuity is given by др Ət -V. (pu) where p is fluid density; t is time; u is the flow velocity vector; V is the Del operator (also known as the nabla operator; see its Wiki page for further references). In 3D cartesian coordinate system, u= (Ur, Uy, uz), and V = ə ə ә ar' au' az (3)
Show that the equation of continuity in fluid mechanics satisfies dimensional homogeneity. In fluid mechanics, the differential form of the equation of continuity is given by др Ət -V. (pu) where p is fluid density; t is time; u is the flow velocity vector; V is the Del operator (also known as the nabla operator; see its Wiki page for further references). In 3D cartesian coordinate system, u= (Ur, Uy, uz), and V = ə ə ә ar' au' az (3)
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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![Show that the equation of continuity in fluid mechanics satisfies dimensional homogeneity.
In fluid mechanics, the differential form of the equation of continuity is given by
Op
Ət
V v
= -V.(pu)
where p is fluid density; t is time; u is the flow velocity vector; V is the Del operator (also known
as the nabla operator; see its Wiki page for further references). In 3D cartesian coordinate system,
u = (Ux, Uy, Uz), and
=
(2)
Ə Ə Ə
?х' ду' дz
(3)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff8974734-381e-4e88-a258-3636ba43d7e1%2Ff4e23273-1051-4aa9-aac3-8b50d89461e9%2Fi5j9516_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Show that the equation of continuity in fluid mechanics satisfies dimensional homogeneity.
In fluid mechanics, the differential form of the equation of continuity is given by
Op
Ət
V v
= -V.(pu)
where p is fluid density; t is time; u is the flow velocity vector; V is the Del operator (also known
as the nabla operator; see its Wiki page for further references). In 3D cartesian coordinate system,
u = (Ux, Uy, Uz), and
=
(2)
Ə Ə Ə
?х' ду' дz
(3)
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