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Discharge of a pump given specific speed Solution

STEP 0: Pre-Calculation Summary
Formula Used
discharge = sqrt(Specific speed of a pump*(Head^(3/4))/Speed)
Q = sqrt(Ns*(H^(3/4))/N)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Specific speed of a pump - Specific speed of a pump is the speed of machines discharging 1m3/sec under 1m head. (Measured in Revolution per Minute)
Head - Head is defined as the height of water columns (Measured in Meter)
Speed- Speed of a machine/body in rpm.
STEP 1: Convert Input(s) to Base Unit
Specific speed of a pump: 100 Revolution per Minute --> 10.4719755114327 Radian per Second (Check conversion here)
Head: 1 Meter --> 1 Meter No Conversion Required
Speed: 100 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = sqrt(Ns*(H^(3/4))/N) --> sqrt(10.4719755114327*(1^(3/4))/100)
Evaluating ... ...
Q = 0.323604318751044
STEP 3: Convert Result to Output's Unit
0.323604318751044 Meter³ per Second --> No Conversion Required
FINAL ANSWER
0.323604318751044 Meter³ per Second <-- Discharge
(Calculation completed in 00.009 seconds)

10+ Basics of turbomachines Calculators

Speed ratio
speed_ratio = Tangential velocity of impeller at outlet/sqrt(2*[g]*Manometric head) Go
Angular speed given specific speed of a pump
speed_rpm = (Specific speed of a pump*(Head^(3/4)))/(sqrt(Discharge)) Go
Angular speed of a turbine given specific speed
speed_rpm = (Specific speed of a turbine*Head^(5/4))/sqrt(Power) Go
Discharge of a pump given specific speed
discharge = sqrt(Specific speed of a pump*(Head^(3/4))/Speed) Go
Head of a pump given specific speed
head = (Speed*sqrt(Discharge)/Specific speed of a pump)^(4/3) Go
Specific speed of a pump
specific_speed_pump = (Speed*sqrt(Discharge))/(Head^(3/4)) Go
Specific speed of a turbine
specific_speed_turbine = (Speed*sqrt(Power))/(Head^(5/4)) Go
Unit flow per discharge
unit_discharge = Discharge/sqrt(Head) Go
Unit power
unit_power = Power/((sqrt(Head))^3) Go
Unit speed
unit_speed = Speed/sqrt(Head) Go

Discharge of a pump given specific speed Formula

discharge = sqrt(Specific speed of a pump*(Head^(3/4))/Speed)
Q = sqrt(Ns*(H^(3/4))/N)

What is specific speed of a pump?

The specific speed of a pump is defined as the speed of a geometrically similar pump which would deliver unit quantity (one cubic meter of liquid per second) against a unit head(one meter). It is denoted by Ns. The specific speed is a characteristic of pumps which can be used as a basis for comparing the performance of different pumps.

How to Calculate Discharge of a pump given specific speed?

Discharge of a pump given specific speed calculator uses discharge = sqrt(Specific speed of a pump*(Head^(3/4))/Speed) to calculate the Discharge, The Discharge of a pump given specific speed formula is defined as the square root of ratio of product of specific speed and head raised to power of 3/4 to the speed of pump. Discharge and is denoted by Q symbol.

How to calculate Discharge of a pump given specific speed using this online calculator? To use this online calculator for Discharge of a pump given specific speed, enter Specific speed of a pump (Ns), Head (H) and Speed (N) and hit the calculate button. Here is how the Discharge of a pump given specific speed calculation can be explained with given input values -> 0.323604 = sqrt(10.4719755119667*(1^(3/4))/100).

FAQ

What is Discharge of a pump given specific speed?
The Discharge of a pump given specific speed formula is defined as the square root of ratio of product of specific speed and head raised to power of 3/4 to the speed of pump and is represented as Q = sqrt(Ns*(H^(3/4))/N) or discharge = sqrt(Specific speed of a pump*(Head^(3/4))/Speed). Specific speed of a pump is the speed of machines discharging 1m3/sec under 1m head, Head is defined as the height of water columns and Speed of a machine/body in rpm.
How to calculate Discharge of a pump given specific speed?
The Discharge of a pump given specific speed formula is defined as the square root of ratio of product of specific speed and head raised to power of 3/4 to the speed of pump is calculated using discharge = sqrt(Specific speed of a pump*(Head^(3/4))/Speed). To calculate Discharge of a pump given specific speed, you need Specific speed of a pump (Ns), Head (H) and Speed (N). With our tool, you need to enter the respective value for Specific speed of a pump, Head and Speed and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Discharge?
In this formula, Discharge uses Specific speed of a pump, Head and Speed. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • unit_speed = Speed/sqrt(Head)
  • discharge = sqrt(Specific speed of a pump*(Head^(3/4))/Speed)
  • speed_ratio = Tangential velocity of impeller at outlet/sqrt(2*[g]*Manometric head)
  • speed_rpm = (Specific speed of a pump*(Head^(3/4)))/(sqrt(Discharge))
  • head = (Speed*sqrt(Discharge)/Specific speed of a pump)^(4/3)
  • speed_rpm = (Specific speed of a turbine*Head^(5/4))/sqrt(Power)
  • unit_discharge = Discharge/sqrt(Head)
  • specific_speed_turbine = (Speed*sqrt(Power))/(Head^(5/4))
  • unit_power = Power/((sqrt(Head))^3)
  • specific_speed_pump = (Speed*sqrt(Discharge))/(Head^(3/4))
Where is the Discharge of a pump given specific speed calculator used?
Among many, Discharge of a pump given specific speed calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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