[3.] This problem investigates how an ideal fluid flows in a linearly tapered pipe. The radius of a pipe increases linearly from ro at x = 0 to ₁ at x = L, as shown in the figure below, where r(z) = ro+ (r₁-ro)z/L. The pressure and velocity of the fluid at z = 0 are po and vo, respectively, and the density of the fluid is p throughout. Give your answers in terms of these quantities and the position z. Po r₁ L [a] What is the velocity, v(az), of the flow at a position 0≤x≤L inside the taper? Give your answer in terms of the given quantities and z. [c] What is the pressure, p(x), of the liquid at position 0≤x≤ L inside the taper? Give your answer in terms of the given quantities and z. (- [d] What is the volume flow rate at position 0≤x≤L inside the taper? (5

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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[3.] This problem investigates how an ideal fluid flows in a linearly tapered pipe. The radius
of a pipe increases linearly from ro at x = 0 to ₁ at x = L, as shown in the figure below,
where r(z) = ro + (r₁-ro)r/L. The pressure and velocity of the fluid at z = 0 are po and
vo, respectively, and the density of the fluid is p throughout. Give your answers in terms
of these quantities and the position a.
Po
r₁
[a] What is the velocity, v(x), of the flow at a position 0≤x≤ L inside the taper? Give your
answer in terms of the given quantities and z.
[c] What is the pressure, p(x), of the liquid at position 0≤x≤L inside the taper? Give your
answer in terms of the given quantities and z. (-...
[d] What is the volume flow rate at position 0≤x≤ L inside the taper? (5
Transcribed Image Text:[3.] This problem investigates how an ideal fluid flows in a linearly tapered pipe. The radius of a pipe increases linearly from ro at x = 0 to ₁ at x = L, as shown in the figure below, where r(z) = ro + (r₁-ro)r/L. The pressure and velocity of the fluid at z = 0 are po and vo, respectively, and the density of the fluid is p throughout. Give your answers in terms of these quantities and the position a. Po r₁ [a] What is the velocity, v(x), of the flow at a position 0≤x≤ L inside the taper? Give your answer in terms of the given quantities and z. [c] What is the pressure, p(x), of the liquid at position 0≤x≤L inside the taper? Give your answer in terms of the given quantities and z. (-... [d] What is the volume flow rate at position 0≤x≤ L inside the taper? (5
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