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Dimensional Analysis

According to ...

Question

According to which theorem/principle the sum of pressure head, velocity head and gravity head is constant:

A

Torricelli's theorem

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B

Pascal's principle

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C

Bernoulli's theorem

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D

Archimede's principle

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Solution

The correct option is C
Bernoulli's theorem

Bernoulli's theorem states that for the streamline flow of an ideal liquid, the total energy (the sum of the pressure energy, potential energy and kinetic energy) per unit mass remains constant at every cross-section throughout the flow.

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Similar questions

Q. Which of the following pairs are correctly matched?

1. Piezometric head
....Sum of datum head and pressure head

2. Dynamic head
...Sum of datum head and velocity head

3. Stagnation head
...Sum of pressure head and velocity head

4. Total head
...Sum of piezometric head and dynamic head

Select the correct answer using the codes given below:

Q. Consider the following statements:

A horizontal pipe reduces from 10 cm to 5 cm in diameter. If the pressure head at 10 cm section is 10 metres and velocity head is 1 metre, then the

1. Total head at any point is 11 metres

2. Pressure head at the 5 cm section is negative

3. Discharge varies proportionate to the diameter

4. Datum head at all sections is constant

Which of these statements is/are correct?

Q. According to Bernoulli’s theorem,

\frac{p}{d} + \frac{v^{2}}{2} + g h =

Constant. The dimensional formula of the constant is:

P

d

h

v

is velocity and

g

is accelaration due to gravity)

Q. A and B are at the same elevation of 2.5 m above datum in the valve and pipe line shown in the given figure. Velocity head of 0.5 m, head loss in valve of 0.2 m and pressure head of 2.5 m are the parameters at A. Piezometric head at B is equal to

Q. A pipe conveys water with velocity 360 m/min and pressure gauge shows 5 bar pressure under which the water is following. The pipe is located at 5 metre above the datum line. The sum of total head and stagnation head is______m.

g = 10 m / s^{2}

.(assume 1 bare = 10

^{5}

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