Fluid Mechanics

Q1: The discharge co-efficient for an orificemeter does not depend upon the

A pipe length.

B ratio of pipe diameter to orifice diameter.

C type of orifice & the Reynolds number.

D pipe diameter.

ANS:A - pipe length.

The discharge coefficient (CdC_dCd​) for an orifice meter is primarily influenced by the ratio of pipe diameter to orifice diameter, the type of orifice, and the Reynolds number. Therefore, the correct statement from the options provided is: pipe diameter.

Explanation:

  1. Discharge Coefficient (CdC_dCd​):
    • The discharge coefficient (CdC_dCd​) is a dimensionless factor that relates the actual flow rate through the orifice meter to the theoretical flow rate based on the orifice area and the pressure drop across the orifice.
    • It accounts for the effects of fluid velocity profile, frictional losses, and other factors that affect the actual flow through the orifice.
  2. Factors Affecting CdC_dCd​:
    • Ratio of Pipe Diameter to Orifice Diameter: This ratio affects the velocity profile and flow conditions upstream and downstream of the orifice, influencing CdC_dCd​.
    • Type of Orifice & Reynolds Number: Different types of orifices (such as sharp-edged, beveled, or venturi) and Reynolds number (flow regime) affect the flow characteristics and thus CdC_dCd​.
    • Pipe Diameter: The pipe diameter itself does not directly influence CdC_dCd​. CdC_dCd​ is primarily determined by the orifice and flow conditions rather than the size of the pipe through which the fluid is flowing.
  3. Other Considerations:
    • Pipe Length: The length of the pipe downstream of the orifice can affect pressure recovery and flow characteristics but does not directly influence CdC_dCd​.
    • Type of Orifice & Reynolds Number: These factors are crucial in determining CdC_dCd​ as they impact the flow pattern, turbulence, and pressure drop across the orifice.

Conclusion:

Therefore, the discharge coefficient (CdC_dCd​) for an orifice meter does not depend upon the pipe diameter. Instead, it is primarily influenced by the ratio of pipe diameter to orifice diameter, the type of orifice, and the Reynolds number of the flow.



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