Which factor does NOT directly affect the power required to drive a centrifugal pump?

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RRB JE CBT 2 (Mechanical Engineering) ReExam Official Paper (Held On: 04 Jun, 2025)
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  1. Atmospheric pressure
  2. Fluid viscosity
  3. Flow rate
  4. Fluid density

Answer (Detailed Solution Below)

Option 1 : Atmospheric pressure
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Explanation:

Centrifugal Pump

  • A centrifugal pump is a mechanical device designed to move fluid by converting rotational kinetic energy into hydrodynamic energy of the fluid flow. The power required to drive a centrifugal pump depends on several factors related to the fluid properties and operating conditions. These factors include flow rate, fluid density, fluid viscosity, and total head (which includes suction and delivery heads). However, atmospheric pressure does not directly influence the power requirement for driving the pump under standard operating conditions. Below, we will explore why this is the case and analyze the other options in detail.

Correct Option Analysis:

The correct option is:

Option 1: Atmospheric Pressure

Atmospheric pressure does not directly affect the power required to drive a centrifugal pump. Here's why:

The power required to drive a centrifugal pump (often referred to as "brake horsepower" or BHP) is calculated using the following formula:

BHP = (Flow Rate × Total Head × Fluid Density) / (3960 × Pump Efficiency)

  • From this equation, it is evident that the power requirement is directly proportional to the flow rate, total head, and fluid density, while inversely proportional to the pump efficiency. Atmospheric pressure does not appear in this formula because it is typically a constant factor that affects both sides of the pump system equally (i.e., the suction side and the discharge side). Unless the system involves conditions where atmospheric pressure significantly varies (e.g., high-altitude operation or vacuum systems), it does not play a direct role in determining the power required to drive the pump.

In most practical applications, centrifugal pumps are designed to operate under standard atmospheric conditions, and any minor variations in atmospheric pressure are negligible in terms of their impact on pump power requirements. Therefore, atmospheric pressure is not a direct factor in the calculation of pump power.

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