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Question

Which of the following parameter is measured with the help of elbow meter?

The correct answer is

Discharge

Elbow Meter: Principle and Measurement

An elbow meter is a type of flow meter used to measure the rate of flow of a fluid. It operates based on the principle of differential pressure.

When a fluid flows around a bend or elbow in a pipe, a centrifugal force is generated. This force causes the fluid pressure to increase on the outside wall of the elbow and decrease on the inside wall. The difference in pressure between the outside and inside walls of the elbow is proportional to the square of the fluid velocity and, consequently, to the flow rate or discharge.

By measuring this differential pressure across the elbow, typically using pressure taps connected to a differential pressure transmitter, the flow rate can be determined. This flow rate is often expressed as volume per unit time (discharge) or mass per unit time.

Analyzing the Options

  • Acceleration: Acceleration is the rate of change of velocity. While the fluid might accelerate or decelerate within the elbow, the elbow meter doesn't directly measure acceleration itself.
  • Velocity: The pressure difference is related to the square of the velocity. While velocity is involved in the calculation, the primary measurement obtained from the pressure difference, when calibrated for the pipe area, is the flow rate or discharge.
  • Viscosity: Viscosity is a measure of a fluid's resistance to flow. While fluid properties like viscosity can affect the flow profile and potentially the accuracy of the measurement, the elbow meter does not directly measure viscosity.
  • Discharge: Discharge, also known as volumetric flow rate, is the volume of fluid passing a point per unit time. As explained, the differential pressure measured by the elbow meter is directly related to the discharge.

Therefore, the parameter directly measured or determined with the help of an elbow meter, based on the differential pressure principle, is the discharge (or flow rate).

Parameter Measured by Elbow Meter? Explanation
Acceleration No Not a direct measurement.
Velocity Indirectly related Pressure difference relates to v<sup>2</sup>; Discharge is the primary output.
Viscosity No A fluid property, not directly measured by the pressure difference.
Discharge Yes Determined from the differential pressure caused by flow around the bend.

Conclusion on Elbow Meter Measurement

Based on its operating principle, the elbow meter is designed to measure the differential pressure created by centrifugal force in a flow bend. This pressure difference is then used to calculate the volumetric flow rate, or discharge, of the fluid through the pipe.

Revision Table: Elbow Meter Facts

Aspect Description
Principle Differential pressure due to centrifugal force in a bend.
Measured Parameter Discharge (Volumetric Flow Rate)
Key Element Pipe elbow with pressure taps.
Application Flow measurement in pipes.

Additional Information on Flow Measurement

Elbow meters belong to the category of differential pressure flow meters. Other common types in this category include:

  • Orifice Plate: Creates a pressure drop by restricting flow through a plate with a hole.
  • Venturi Meter: Creates a pressure drop by narrowing the pipe section gradually and then expanding it.
  • Flow Nozzle: Similar to an orifice plate but with a smoother profile, often used for higher velocities or erosive fluids.

All these meters rely on the principle that the pressure drop across a restriction or change in pipe geometry is related to the flow rate. The elbow meter utilizes the natural geometry of a bend rather than adding a separate restriction element.

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Important Questions from Laminar Flow

  1. If the Reynolds number is less than 2000, the flow in pipe is -

  2. For laminar flow through a pipe, the friction factor -

  3. The terminal velocity of a sphere settling in a viscous fluid varies as

  4. For laminar flow between parallel plates separated by a distance of 2h, head loss varies

  5. A liquid flows in a 30 cm diameter pipe at a Reynolds number of 106 . If the friction factor is 0.025, the thickness of the laminar sublayer, in mm is

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