Please help 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 byOpƏtV v= -V.(pu)where p is fluid density; t is time; u is the flow velocity vector; V is the Del operator (also knownas 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)

The equation is ∂ρ∂t=-∇.ρu where ρ is the fluid density, t is time, and u is the flow velocity…

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

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Author:Sadiku, Matthew N. O.

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Please help

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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