Seeking answers for all (A-C). Options for A: 1)volume flow rate 2)pressure 3)ve

Question

Seeking answers for all (A-C).
Options for A: 1)volume flow rate 2)pressure 3)velocity 4)area

Options for B1: {A, B, C}
Options for B2: {A, B, C}

options for C1: {A, B, C}
options for C2: {A, B, C}

Here's a nice graphic of a Venturi tube, indicating three regions Assume that there is laminar flow throughout the tube. (A) Which quantity is uniform (constant) throughout the tube? (Click to select) (B) Consider the fluid pressure inside the tube. In which region is the pressure going to be the greatest? (Click to select- In which region is the pressure going to be the least? | (Click to select · · C) Consider the velocity of the fluid inside the tube. In which region is the speed going to be the greatest? Click to select) In which region is the speed going to be the least? |(Click to select) ·

Explanation / Answer

(A)

In accordance with the equation of continuity, the volume flow rate of a fluid in the given venturi tube is constant. Thus, the volume flow rate at the points A, B and C will constant throughout the flow. Therefore, option (1) is correct.

Pressure will not remain constant throughout the flow. Option (2) is not correct.

The volume flow rate is also equal to speed times the cross sectional area of the tube. This means the speed and area of the venturi tube will change throughout the flow as the area of the venture tube is not uniform. Option (3) and (4) is not correct.

Therefore, the correct option is (1) volume flow rate.

(B)

In accordance with the Bernoulli’s equation, the pressure of a fluid flow is increases with decreasing velocity and vice versa.

As the area at B is least and C is greatest, the velocity at B is greatest and C is least.

Thus, the pressure at B is least due to greatest velocity. The pressure at C is greatest due to least velocity.

Therefore, correct option for B1 is C. Correct option for B2 is B.

(C)

In accordance with the equation of continuity, the volume rate is constant and equal to speed times the cross sectional area of the tube. It is found that the area at C is greatest and B is least. Thus, the speed at C is least and B is greatest.

Therefore, correct option for C1 is B and correct option for C2 is C.

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