Rankine's Efficiency of Hydraulic Ram Calculator

✖Discharge from valve box is the volume flow rate of the water from the valve box to the delivery tank of an hydraulic ram.ⓘ Discharge from Valve Box [q]			+10% -10%
✖Height of water in delivery tank is the water level available in the delivery tank of an hydraulic ram.ⓘ Height of Water in Delivery Tank [H]			+10% -10%
✖Height of water in supply tank is the water level available in the supply tank of an hydraulic ram.ⓘ Height of Water in Supply tank [h]			+10% -10%
✖Discharge from supply tank is the volume flow rate of the water from the valve box to the valve box of an hydraulic ram.ⓘ Discharge from Supply Tank [Q]			+10% -10%

✖Rankine's efficiency of hydraulic ram is the efficiency of the hydraulic ram calculated considering a Rankine cycle of flow.ⓘ Rankine's Efficiency of Hydraulic Ram [η_r]

⎘ Copy

👎

Formula

✖

Rankine's Efficiency of Hydraulic Ram

Formula

`"η"_{"r"} = ("q"*("H"-"h"))/("h"*("Q"-"q"))`

Example

`"0.583333"=("0.0022m³/s"*("21.5m"-"3.3m"))/("3.3m"*("0.023m³/s"-"0.0022m³/s"))`

Calculator

LaTeX

Reset

👍

Download Fluid Mechanics Formula PDF

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 of hydraulic ram is the efficiency of the hydraulic ram calculated considering a Rankine cycle of flow.
Discharge from Valve Box - (Measured in Cubic Meter per Second) - Discharge from valve box is the volume flow rate of the water from the valve box to the delivery tank of an hydraulic ram.
Height of Water in Delivery Tank - (Measured in Meter) - Height of water in delivery tank is the water level available in the delivery tank of an hydraulic ram.
Height of Water in Supply tank - (Measured in Meter) - Height of water in supply tank is the water level available in the supply tank of an hydraulic ram.
Discharge from Supply Tank - (Measured in Cubic Meter per Second) - Discharge from supply tank is the volume flow rate of the water from the valve box to the valve box of an hydraulic ram.

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 00.020 seconds)

You are here -

Home » Physics » Fluid Mechanics » Fluid Machinery » Hydraulic Actuators and Motors » Hydraulic Ram » Rankine's Efficiency of Hydraulic Ram

Credits

Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

Sagar S Kulkarni has created this Calculator and 200+ more calculators!

Verified by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has verified this Calculator and 200+ more calculators!

< 13 Hydraulic Ram Calculators

Total Time for One Cycle of Hydraulic Ram

Go Total Time for One Cycle of Ram = Length of Supply Pipe of Hydraulic Ram*Maximum Velocity in Supply Pipe of Ram/[g]*(1/Height of Water in Supply tank+1/(Height of Water in Delivery Tank-Height of Water in Supply tank))

Rankine's Efficiency of Hydraulic Ram

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

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

Time during which Waste Valve Remains Closed-Hydraulic Ram

Go Time during Closure of Waste Valve of Ram = Length of Supply Pipe of Hydraulic Ram*Maximum Velocity in Supply Pipe of Ram/[g]*(1/(Height of Water in Delivery Tank-Height of Water in Supply tank))

Rate of Discharge of Water Actually Lifted by Ram

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

Time during which Velocity in Supply Pipe Builds up from Zero to Vmax-Hydraulic Ram

Go Time to Build Maximum Velocity in Supply Pipe = (Length of Supply Pipe of Hydraulic Ram*Maximum Velocity in Supply Pipe of Ram)/(Height of Water in Supply tank*[g])

Efficiency of Hydraulic Ram given Weight and Height

Go D’ Aubuisson’s Efficiency = (Weight of Water Raised per Second*Height through which Water Raised)/(Weight of Water Flowing per Second*Height of Water in Supply tank)

Aubuisson's Efficiency of Hydraulic Ram

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)

Dynamic Pressure Head of Hydraulic Ram

Go Dynamic Pressure Head on Waste Valve = (4*Weight of Waste Valve)/(Specific Weight of Water*pi*Diameter of Waste Valve^2)

Maximum Velocity Past Waste Valve Just before Closure

Go Maximum Velocity in Supply Pipe of Ram = sqrt(2*Acceleration due to Gravity*Dynamic Pressure Head on Waste Valve)

Energy Delivered by Hydraulic Ram

Go Energy Delivered by Hydraulic Ram = Weight of Water Raised per Second*Height through which Water Raised

Energy Supplied by Supply Tank to Hydraulic Ram

Go Energy Supplied to Hydraulic Ram = Weight of Water Flowing per Second*Height of Water in Supply tank

Efficiency of Hydraulic Ram

Go D’ Aubuisson’s Efficiency = Energy Delivered by Hydraulic Ram/Energy Supplied to Hydraulic Ram

Rankine's Efficiency of Hydraulic Ram Formula

What is a hydraulic ram?

Hydraulic ram is device with which small quantities of water can be pumped to higher levels from the available large quantity of water of low head. It works on the principle of water hammer.

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 the ratio of product of discharge from valve box and difference between the height of water in delivery and supply tank to the product of height of water in supply tank and difference between the discharge from supply tank and valve box. 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 the ratio of product of discharge from valve box and difference between the height of water in delivery and supply tank to the product of height of water in supply tank and difference between the discharge from supply tank and valve box 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 volume flow rate of the water from the valve box to the delivery tank of an hydraulic ram, Height of water in delivery tank is the water level available in the delivery tank of an hydraulic ram, Height of water in supply tank is the water level available in the supply tank of an hydraulic ram & Discharge from supply tank is the volume flow rate of the water from the valve box to the valve box of an hydraulic ram.

How to calculate Rankine's Efficiency of Hydraulic Ram?

Rankine's efficiency of hydraulic ram formula is defined as the ratio of product of discharge from valve box and difference between the height of water in delivery and supply tank to the product of height of water in supply tank and difference between the discharge from supply tank and valve box 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.

Home

FREE PDFs

🔍 Search