At a sudden contraction in a horizontal pipea)Total energy decreasesb)...
Total Energy at any section in a flow is given by:
Where,
Z = Datum head
hL = head loss
Due to sudden contraction, the loss of head occurs due to sudden contraction of pipe, therefore total energy decreases.
As due to contraction, area of pipe decreases due to which velocity increases, thereby velocity head increases.
As the increase in velocity head will lead to decrease in Pressure head or we can say that conversion of velocity head to pressure head occurs.
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At a sudden contraction in a horizontal pipea)Total energy decreasesb)...
Explanation:
When there is a sudden contraction in a horizontal pipe, several changes occur in the flow conditions. Let's discuss each option in detail:
Total energy decreases:
- The total energy of a fluid can be represented by the Bernoulli's equation, which states that the total energy at any point in a fluid flow system is constant.
- The total energy is the sum of the pressure energy (or pressure head), the kinetic energy (or velocity head), and the potential energy.
- When there is a sudden contraction in the pipe, the velocity of the fluid increases due to the conservation of mass. As a result, the kinetic energy (velocity head) increases. However, the pressure energy and potential energy may decrease.
- Therefore, the total energy decreases in a sudden contraction.
Velocity head increases:
- Velocity head represents the kinetic energy of the fluid due to its velocity.
- In a sudden contraction, the cross-sectional area of the pipe decreases, resulting in an increase in the fluid velocity according to the principle of continuity (mass conservation).
- As the fluid velocity increases, the kinetic energy (velocity head) also increases.
Pressure head decreases:
- Pressure head represents the potential energy of the fluid due to its pressure.
- In a sudden contraction, the cross-sectional area of the pipe decreases, causing the fluid velocity to increase.
- According to Bernoulli's equation, as the fluid velocity increases, the pressure decreases.
- Therefore, the pressure head decreases in a sudden contraction.
Summary:
- In a sudden contraction in a horizontal pipe, the total energy decreases due to changes in the velocity head, pressure head, and potential energy.
- The velocity head increases because the fluid velocity increases.
- The pressure head decreases because the fluid pressure decreases.
- Therefore, all of the given options (a), (b), and (c) are correct.
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