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Fluid Mechanics - Engineering

Q1:

For flow through a venturi at a particular discharge, the correct relationships among heads at points X, Y, and Z are

A h1 > h2 < h3

B h1 > h2 > h3

C h2 < h1 < h3

D h1 < h2 < h3

ANS:A - h1 > h2 < h3

In a venturi meter, which is used to measure fluid flow rate, the correct relationships among heads (pressure heads or static pressures) at points X, Y, and Z are typically represented as: h1 > h2 < h3 Here's an explanation for each point:

  • h1: Represents the pressure head (or static pressure) at the entrance of the venturi meter (point X). This is typically higher than the pressure head at the throat (point Y), denoted as h2.
  • h2: Represents the pressure head (or static pressure) at the throat of the venturi meter (point Y). Due to the principle of conservation of energy (Bernoulli's principle), the pressure head at the throat is lower than at the entrance because of the increase in fluid velocity at the throat.
  • h3: Represents the pressure head (or static pressure) at the exit of the venturi meter (point Z). This is typically lower than the pressure head at the throat (h2) due to the recovery of pressure after the constriction.
Therefore, the correct relationship among the heads at points X, Y, and Z in a venturi meter is: h1 > h2 < h3 This relationship reflects how the pressure changes along the venturi meter due to the change in velocity and constriction of the flow.