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Centrifugal pumps are widely used in various industries for the transportation of fluids. Understanding the concept of brake horsepower is essential when it comes to evaluating the performance of a centrifugal pump. Brake horsepower (BHP) is the amount of power required to drive the pump and is a crucial parameter in determining the efficiency of the pump. In this article, we will delve into the brake horsepower formula for a centrifugal pump and explore how it is calculated.
Learn how to calculate the pump brake horsepower for a centrifugal pump with a given flow-rate, pressure, and efficiency.
Brake Horsepower Formula
The brake horsepower of a centrifugal pump can be calculated using the following formula:
\[ BHP = \frac{(Q \times H \times SG)}{3960} \times \text{Efficiency} \]
Where:
- \( BHP \) = Brake Horsepower
- \( Q \) = Flow Rate
- \( H \) = Head
- \( SG \) = Specific Gravity
- \( \text{Efficiency} \) = Pump Efficiency
This formula takes into account the flow rate, head, specific gravity of the fluid being pumped, and the efficiency of the pump. Let's break down each component of the formula:
- Flow Rate (\( Q \)): The flow rate is the volume of fluid that passes through the pump per unit of time, typically measured in gallons per minute (GPM) or cubic meters per hour (m³/h).
- Head (\( H \)): The head of a pump is the height to which the pump can raise a column of fluid. It represents the energy imparted to the fluid by the pump and is usually measured in feet or meters.
- Specific Gravity (\( SG \)): The specific gravity of a fluid is the ratio of its density to the density of water at a specified temperature. It provides an indication of the fluid's weight relative to water.
- Pump Efficiency (\( \text{Efficiency} \)): Pump efficiency is the ratio of the pump's output power to its input power, expressed as a percentage. It accounts for losses in the pump system and indicates how effectively the pump converts input power into useful work.
Calculating Brake Horsepower
To calculate the brake horsepower of a centrifugal pump, you need to know the values of the flow rate, head, specific gravity, and pump efficiency. Once you have these values, you can plug them into the formula mentioned above to determine the brake horsepower required to drive the pump.
For example, let's say we have a centrifugal pump with the following parameters:
- Flow Rate (\( Q \)) = 100 GPM
- Head (\( H \)) = 50 feet
- Specific Gravity (\( SG \)) = 1.2
- Pump Efficiency = 85%
Using the formula, the calculation would be as follows:
\[ BHP = \frac{(100 \times 50 \times 1.2)}{3960} \times 0.85 \]
\[ BHP = \frac{6000}{3960} \times 0.85 \]
\[ BHP = 1.515 \times 0.85 \]
\[ BHP = 1.28775 \text{ horsepower} \]
Therefore, the brake horsepower required to drive this centrifugal pump would be approximately 1.29 horsepower.
The following formula is used to calculate a brake horsepower of a centrifugal pump. To calculate brake horsepower, multiply the flow rate by the head and specific gravity, divide by 3960, the multiply by the efficiency. Brake …
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brake horsepower formula for centrifugal pump|water pump gpm calculator