Pump Efficiency Calculator

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Pump Efficiency Calculator:

Enter the values of Fluid Density, p(kg/m3), Gravitational Acceleration, g(m/s2), Flow Rate, Q(m3/s), Head, H(m)and Input Power, P(W)to determine the value of Pump Efficiency, n(%).

Enter Fluid Density : kg/m3
Enter Graitational Accleration: m/s2
Enter Flow Rate: m3/s
Enter Head: m
Enter Input Power: W
   
Result – Pump Efficiency : %

Pump Efficiency:

Pump efficiency is a measure of how effectively a pump converts input mechanical or electrical power into useful hydraulic power output. It is expressed as a percentage, indicating how much of the input energy is successfully used to move the fluid.

Higher pump efficiency means less energy wasted due to friction, turbulence, and other internal losses, leading to reduced energy costs and better performance. Pump efficiency plays a crucial role in industries where fluid transport is essential, affecting operational costs and environmental impact.

A pump with low efficiency consumes more energy to deliver the same amount of flow, resulting in higher expenses and inefficiencies. Losses in a pump are mainly due to friction in bearings, leakage through clearances, and fluid friction within the pump. Manufacturers design pumps with efficiency curves to help users select the optimal operating point.

Pump efficiency depends on design, fluid properties, flow rate, head, and maintenance practices. Regular servicing, proper lubrication, and correct alignment can help maintain pump efficiency.

Pump efficiency is calculated by comparing the hydraulic power output to the input mechanical or electrical power. Hydraulic power depends on fluid density, flow rate, and the head (vertical lift).

Standard gravitational acceleration (g) and fluid density (ρ) are constants used in the formula. Pump efficiency is typically highest at a specific operating point called the Best Efficiency Point (BEP).

Pump Efficiency, n(%) in percentage, equals Fluid Density, p(kg/m3)in kilograms per cubic metres multiplied by Gravitational Acceleration, g(m/s2)in metres per second squared multiplied by Flow Rate, Q(m3/s)in cubic metres per second multiplied by Head, H(m)in metres, divided by Input Power, P(W)in Watts, then multiplied by 100.

Pump Efficiency, n(%)= (p(kg/m3)* g(m/s2)* Q(m3/s)* H(m)/ P(W)) * 100

n(%)= pump efficiency in percentage.

p(kg/m3)= fluid density in kilograms per cubic metres, kg/m3.

g(m/s2)= graitational accleration in metres per second dquared, m/s2(9.81m/s2).

Q(m3/s)= flow rate in cubic metres per second, m3/s.

H(m)= head in metres, m.

P(W)= input power in Watts, W.

Pump Efficiency Calculation:

  1. A pump delivers water at a flow rate (Q) of 0.05 m3/s, with a head (H) of 20 metres. The input power (P) is 12,000 watts. The fluid density (p) is 1000 kg/m3. Calculate the pump efficiency (n%).

Given: p(kg/m3)= 1000 kg/m3, g(m/s2)= 9.81m/s2, Q(m3/s)= 0.05 m3/s,H(m)= 20m, P(W)= 12,000W.

Pump Efficiency, n(%)= (p(kg/m3)* g(m/s2)* Q(m3/s)* H(m)/ P(W)) * 100

n(%)= (1000 * 9.81 * 0.05 * 20 / 12000) * 100

n(%)= (9810 / 12000) * 100

n(%)= 0.8175 * 100

n(%)= 81.75%.

  1. A pump has an efficiency (n) of 75%, a flow rate (Q) of 0.08 m3/s, a head (H) of 15 metres, and an input power (P) of 15,680 watts. Find the fluid density (p).

Given: n(%)= 81.75%, g(m/s2)= 9.81m/s2, Q(m3/s)= 0.08 m3/s,H(m)= 15m, P(W)= 15,680W.

Pump Efficiency, n(%)= (p(kg/m3)* g(m/s2)* Q(m3/s)* H(m)/ P(W)) * 100

p(kg/m3)= n(%)* P(W)/ g(m/s2)* Q(m3/s)* H(m) * 100

p(kg/m3)= 81.75 * 15680 / 9.81 * 0.08 * 15 * 100

p(kg/m3)= 1176000 / 117.72

p(kg/m3)= 998.99kg/m3.

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