Pressure Ratio for Unsteady Waves with Subtracted Induced Mass Motion for Expansion Waves Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pressure Ratio = (1-((Specific Heat Ratio-1)/2)*(Induced Mass Motion/Speed of Sound))^(2*Specific Heat Ratio/(Specific Heat Ratio-1))
rp = (1-((γ-1)/2)*(u'/cspeed))^(2*γ/(γ-1))
This formula uses 4 Variables
Variables Used
Pressure Ratio - Pressure Ratio is ratio of final to initial pressure.
Specific Heat Ratio - The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume.
Induced Mass Motion - (Measured in Kilogram Square Meter) - Induced Mass Motion, added mass or virtual mass is the inertia added to a system because an accelerating or decelerating body must move some volume of surrounding fluid as it moves through it.
Speed of Sound - (Measured in Meter per Second) - The speed of sound is defined as the dynamic propagation of sound waves.
STEP 1: Convert Input(s) to Base Unit
Specific Heat Ratio: 1.6 --> No Conversion Required
Induced Mass Motion: 8.5 Kilogram Square Meter --> 8.5 Kilogram Square Meter No Conversion Required
Speed of Sound: 343 Meter per Second --> 343 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rp = (1-((γ-1)/2)*(u'/cspeed))^(2*γ/(γ-1)) --> (1-((1.6-1)/2)*(8.5/343))^(2*1.6/(1.6-1))
Evaluating ... ...
rp = 0.960983280745636
STEP 3: Convert Result to Output's Unit
0.960983280745636 --> No Conversion Required
FINAL ANSWER
0.960983280745636 0.960983 <-- Pressure Ratio
(Calculation completed in 00.004 seconds)

Credits

Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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5 Expansion Waves Calculators

Density before Shock Formation for Expansion Wave
Go Density behind Shock = Stagnation pressure ahead of shock/(1-((Specific Heat Ratio-1)/2)*(Normal velocity/Old Speed of Sound))^(2*Specific Heat Ratio/(Specific Heat Ratio-Time in seconds))
New Pressure after Shock Formation, Subtracted to Velocity for Expansion Wave
Go Pressure = Density ahead of shock*(1-((Specific Heat Ratio-1)/2)*(Normal velocity/Old Speed of Sound))^(2*Specific Heat Ratio/(Specific Heat Ratio-Time in seconds))
Pressure Ratio for Unsteady Waves with Subtracted Induced Mass Motion for Expansion Waves
Go Pressure Ratio = (1-((Specific Heat Ratio-1)/2)*(Induced Mass Motion/Speed of Sound))^(2*Specific Heat Ratio/(Specific Heat Ratio-1))
Ratio of New and Old Temperature for Expansion Waves
Go Temperature Ratio across Shock = (1-((Specific Heat Ratio-1)/2)*(Normal velocity/Old Speed of Sound))^(2)
Temperature Ratio for Unsteady Expansion Wave
Go Temperature Ratio = (1-((Specific Heat Ratio-1)/2)*(Induced Mass Motion/Speed of Sound))^2

Pressure Ratio for Unsteady Waves with Subtracted Induced Mass Motion for Expansion Waves Formula

Pressure Ratio = (1-((Specific Heat Ratio-1)/2)*(Induced Mass Motion/Speed of Sound))^(2*Specific Heat Ratio/(Specific Heat Ratio-1))
rp = (1-((γ-1)/2)*(u'/cspeed))^(2*γ/(γ-1))

What is an induced mass motion?

In fluid mechanics, added mass or virtual mass is the inertia added to a system because an accelerating or decelerating body must move (or deflect) some volume of surrounding fluid as it moves through it

How to Calculate Pressure Ratio for Unsteady Waves with Subtracted Induced Mass Motion for Expansion Waves?

Pressure Ratio for Unsteady Waves with Subtracted Induced Mass Motion for Expansion Waves calculator uses Pressure Ratio = (1-((Specific Heat Ratio-1)/2)*(Induced Mass Motion/Speed of Sound))^(2*Specific Heat Ratio/(Specific Heat Ratio-1)) to calculate the Pressure Ratio, The Pressure ratio for unsteady waves with subtracted induced mass motion for expansion waves formula is defined as the interrelation between specific heat ratio , speed of sound during the unsteady waves and induced mass motion at an arbitrary point inside the wave. Pressure Ratio is denoted by rp symbol.

How to calculate Pressure Ratio for Unsteady Waves with Subtracted Induced Mass Motion for Expansion Waves using this online calculator? To use this online calculator for Pressure Ratio for Unsteady Waves with Subtracted Induced Mass Motion for Expansion Waves, enter Specific Heat Ratio (γ), Induced Mass Motion (u') & Speed of Sound (cspeed) and hit the calculate button. Here is how the Pressure Ratio for Unsteady Waves with Subtracted Induced Mass Motion for Expansion Waves calculation can be explained with given input values -> 0.960983 = (1-((1.6-1)/2)*(8.5/343))^(2*1.6/(1.6-1)).

FAQ

What is Pressure Ratio for Unsteady Waves with Subtracted Induced Mass Motion for Expansion Waves?
The Pressure ratio for unsteady waves with subtracted induced mass motion for expansion waves formula is defined as the interrelation between specific heat ratio , speed of sound during the unsteady waves and induced mass motion at an arbitrary point inside the wave and is represented as rp = (1-((γ-1)/2)*(u'/cspeed))^(2*γ/(γ-1)) or Pressure Ratio = (1-((Specific Heat Ratio-1)/2)*(Induced Mass Motion/Speed of Sound))^(2*Specific Heat Ratio/(Specific Heat Ratio-1)). The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume, Induced Mass Motion, added mass or virtual mass is the inertia added to a system because an accelerating or decelerating body must move some volume of surrounding fluid as it moves through it & The speed of sound is defined as the dynamic propagation of sound waves.
How to calculate Pressure Ratio for Unsteady Waves with Subtracted Induced Mass Motion for Expansion Waves?
The Pressure ratio for unsteady waves with subtracted induced mass motion for expansion waves formula is defined as the interrelation between specific heat ratio , speed of sound during the unsteady waves and induced mass motion at an arbitrary point inside the wave is calculated using Pressure Ratio = (1-((Specific Heat Ratio-1)/2)*(Induced Mass Motion/Speed of Sound))^(2*Specific Heat Ratio/(Specific Heat Ratio-1)). To calculate Pressure Ratio for Unsteady Waves with Subtracted Induced Mass Motion for Expansion Waves, you need Specific Heat Ratio (γ), Induced Mass Motion (u') & Speed of Sound (cspeed). With our tool, you need to enter the respective value for Specific Heat Ratio, Induced Mass Motion & Speed of Sound 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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