You are doing a problem that requires Reynold's Transport Theorem with Conservation of Mass. Youcarefully write the equation and then on the second line you write:0 = v3 A3 - Svị dA1 + f vzdA2What statements in the question or assumptions you make would lead you to this simplification?Mark all that apply.The flow is steady.Newtonian FluidIncompressible fluid.Inviscid fluid.Inlets have uniform flow.Exits have uniform flow.Velocity is only in the x-direction.

Answered: You are doing a problem that requires…

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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You are doing a problem that requires Reynold's Transport Theorem with Conservation of Mass. You
carefully write the equation and then on the second line you write:
0 = v3 A3 - Svị dA1 + f vzdA2
What statements in the question or assumptions you make would lead you to this simplification?
Mark all that apply.
The flow is steady.
Newtonian Fluid
Incompressible fluid.
Inviscid fluid.
Inlets have uniform flow.
Exits have uniform flow.
Velocity is only in the x-direction.

Expert Solution

Step 1

Since its a conservation of mass problem, change in intensive property and extensive property is same that is change in mass with respect to time is zero so following cases will arise

Any mass that doesn't change is control volume is considered to be zero and depending upon the number of closed surfaces, integrals are chosen looking at those closed surfaces.

so the assumptions taken into account is that

Density is constant that is it is incompressible.
Velocities are constant and not a function of area.

so from above the flow is steady, incompressible fluid, inlets and exit have uniform flow.

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