Rankine's Efficiency of Hydraulic Ram Calculator

✖Discharge from Valve Box is the rate of flow of fluid from a valve box, typically measured in liters per second, in a hydraulic ram system.ⓘ Discharge from Valve Box [q]			+10% -10%
✖Height of Water in Delivery Tank is the vertical distance of water from the bottom of the tank in a hydraulic ram system.ⓘ Height of Water in Delivery Tank [H]			+10% -10%
✖Height of Water in Supply tank is the vertical distance of water level in the supply tank of a hydraulic ram system.ⓘ Height of Water in Supply tank [h]			+10% -10%
✖Discharge from Supply Tank is the rate of flow of fluid from the supply tank to the hydraulic ram system during its operation.ⓘ Discharge from Supply Tank [Q]			+10% -10%

✖Rankine's Efficiency is the measure of the efficiency of a hydraulic ram, which is a device that uses the energy of flowing water to pump water to a higher elevation.ⓘ Rankine's Efficiency of Hydraulic Ram [η_r]

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Rankine's Efficiency of Hydraulic Ram Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rankine's Efficiency = (Discharge from Valve Box*(Height of Water in Delivery Tank-Height of Water in Supply tank))/(Height of Water in Supply tank*(Discharge from Supply Tank-Discharge from Valve Box))
η_r = (q*(H-h))/(h*(Q-q))
This formula uses 5 Variables

Variables Used

Rankine's Efficiency - Rankine's Efficiency is the measure of the efficiency of a hydraulic ram, which is a device that uses the energy of flowing water to pump water to a higher elevation.
Discharge from Valve Box - (Measured in Cubic Meter per Second) - Discharge from Valve Box is the rate of flow of fluid from a valve box, typically measured in liters per second, in a hydraulic ram system.
Height of Water in Delivery Tank - (Measured in Meter) - Height of Water in Delivery Tank is the vertical distance of water from the bottom of the tank in a hydraulic ram system.
Height of Water in Supply tank - (Measured in Meter) - Height of Water in Supply tank is the vertical distance of water level in the supply tank of a hydraulic ram system.
Discharge from Supply Tank - (Measured in Cubic Meter per Second) - Discharge from Supply Tank is the rate of flow of fluid from the supply tank to the hydraulic ram system during its operation.

STEP 1: Convert Input(s) to Base Unit

Discharge from Valve Box: 0.0022 Cubic Meter per Second --> 0.0022 Cubic Meter per Second No Conversion Required
Height of Water in Delivery Tank: 21.5 Meter --> 21.5 Meter No Conversion Required
Height of Water in Supply tank: 3.3 Meter --> 3.3 Meter No Conversion Required
Discharge from Supply Tank: 0.023 Cubic Meter per Second --> 0.023 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_r = (q*(H-h))/(h*(Q-q)) --> (0.0022*(21.5-3.3))/(3.3*(0.023-0.0022))

Evaluating ... ...

η_r = 0.583333333333333

STEP 3: Convert Result to Output's Unit

0.583333333333333 --> No Conversion Required

FINAL ANSWER

0.583333333333333 ≈ 0.583333 <-- Rankine's Efficiency

(Calculation completed in 00.004 seconds)

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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National Institute of Technology (NIT), Tiruchirapalli

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< Hydraulic Ram Calculators

Rankine's Efficiency of Hydraulic Ram

LaTeX Go Rankine's Efficiency = (Discharge from Valve Box*(Height of Water in Delivery Tank-Height of Water in Supply tank))/(Height of Water in Supply tank*(Discharge from Supply Tank-Discharge from Valve Box))

Rate of Discharge of Water Flowing Past Waste Valve

LaTeX Go Discharge of Water Flowing Past Waste Valve = pi/4*Diameter of Supply Pipe in Ram^2*Maximum Velocity in Supply Pipe of Ram/2*Time to Build Maximum Velocity in Supply Pipe/Total Time for One Cycle of Ram

Rate of Discharge of Water Actually Lifted by Ram

LaTeX Go Discharge of Water Lifted by Ram = pi/4*Diameter of Supply Pipe in Ram^2*Maximum Velocity in Supply Pipe of Ram/2*Time during Closure of Waste Valve of Ram/Total Time for One Cycle of Ram

Aubuisson's Efficiency of Hydraulic Ram

LaTeX Go D’Aubuisson’s Efficiency = (Discharge from Valve Box*Height of Water in Delivery Tank)/(Discharge from Supply Tank*Height of Water in Supply tank)

Rankine's Efficiency of Hydraulic Ram Formula

LaTeX Go

What is Rankine's Efficiency of Hydraulic Ram?

Rankine's efficiency of a hydraulic ram is the ratio of the useful water output (the volume of water pumped to a higher elevation) to the total water input (the volume of water flowing from the source). It measures how effectively the hydraulic ram converts the kinetic energy of the flowing water into useful work for pumping. Rankine's efficiency typically ranges from 50% to 70%, as some water is always "wasted" to generate the necessary pressure for the pumping action. Higher Rankine efficiency can be achieved by optimizing the height ratio between the supply head and the delivery head.

How to Calculate Rankine's Efficiency of Hydraulic Ram?

Rankine's Efficiency of Hydraulic Ram calculator uses Rankine's Efficiency = (Discharge from Valve Box*(Height of Water in Delivery Tank-Height of Water in Supply tank))/(Height of Water in Supply tank*(Discharge from Supply Tank-Discharge from Valve Box)) to calculate the Rankine's Efficiency, Rankine's Efficiency of Hydraulic Ram formula is defined as a measure of the efficiency of a hydraulic ram, which is a device that uses the energy of flowing water to pump water to a higher elevation, and is an important parameter in the design and operation of hydraulic systems. Rankine's Efficiency is denoted by η_r symbol.

How to calculate Rankine's Efficiency of Hydraulic Ram using this online calculator? To use this online calculator for Rankine's Efficiency of Hydraulic Ram, enter Discharge from Valve Box (q), Height of Water in Delivery Tank (H), Height of Water in Supply tank (h) & Discharge from Supply Tank (Q) and hit the calculate button. Here is how the Rankine's Efficiency of Hydraulic Ram calculation can be explained with given input values -> 0.583333 = (0.0022*(21.5-3.3))/(3.3*(0.023-0.0022)).

FAQ

What is Rankine's Efficiency of Hydraulic Ram?

Rankine's Efficiency of Hydraulic Ram formula is defined as a measure of the efficiency of a hydraulic ram, which is a device that uses the energy of flowing water to pump water to a higher elevation, and is an important parameter in the design and operation of hydraulic systems and is represented as η_r = (q*(H-h))/(h*(Q-q)) or Rankine's Efficiency = (Discharge from Valve Box*(Height of Water in Delivery Tank-Height of Water in Supply tank))/(Height of Water in Supply tank*(Discharge from Supply Tank-Discharge from Valve Box)). Discharge from Valve Box is the rate of flow of fluid from a valve box, typically measured in liters per second, in a hydraulic ram system, Height of Water in Delivery Tank is the vertical distance of water from the bottom of the tank in a hydraulic ram system, Height of Water in Supply tank is the vertical distance of water level in the supply tank of a hydraulic ram system & Discharge from Supply Tank is the rate of flow of fluid from the supply tank to the hydraulic ram system during its operation.

How to calculate Rankine's Efficiency of Hydraulic Ram?

Rankine's Efficiency of Hydraulic Ram formula is defined as a measure of the efficiency of a hydraulic ram, which is a device that uses the energy of flowing water to pump water to a higher elevation, and is an important parameter in the design and operation of hydraulic systems is calculated using Rankine's Efficiency = (Discharge from Valve Box*(Height of Water in Delivery Tank-Height of Water in Supply tank))/(Height of Water in Supply tank*(Discharge from Supply Tank-Discharge from Valve Box)). To calculate Rankine's Efficiency of Hydraulic Ram, you need Discharge from Valve Box (q), Height of Water in Delivery Tank (H), Height of Water in Supply tank (h) & Discharge from Supply Tank (Q). With our tool, you need to enter the respective value for Discharge from Valve Box, Height of Water in Delivery Tank, Height of Water in Supply tank & Discharge from Supply Tank and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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