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

✖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.ⓘ Specific Heat Ratio [γ]			+10% -10%
✖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.ⓘ Induced Mass Motion [u']			+10% -10%
✖The speed of sound is defined as the dynamic propagation of sound waves.ⓘ Speed of Sound [c_speed]			+10% -10%

✖Pressure Ratio is ratio of final to initial pressure.ⓘ Pressure Ratio for Unsteady Waves with Subtracted Induced Mass Motion for Expansion Waves [r_p]

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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))
r_p = (1-((γ-1)/2)*(u'/c_speed))^(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

r_p = (1-((γ-1)/2)*(u'/c_speed))^(2*γ/(γ-1)) --> (1-((1.6-1)/2)*(8.5/343))^(2*1.6/(1.6-1))

Evaluating ... ...

r_p = 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)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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< Expansion Waves Calculators

Density before Shock Formation for Expansion Wave

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX Go Temperature Ratio across Shock = (1-((Specific Heat Ratio-1)/2)*(Normal velocity/Old Speed of Sound))^(2)

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

LaTeX Go

Pressure Ratio = (1-((Specific Heat Ratio-1)/2)*(Induced Mass Motion/Speed of Sound))^(2*Specific Heat Ratio/(Specific Heat Ratio-1))
r_p = (1-((γ-1)/2)*(u'/c_speed))^(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, Pressure Ratio for Unsteady Waves with Subtracted Induced Mass Motion for Expansion Waves formula is defined as a dimensionless quantity that characterizes the pressure variation in unsteady waves propagating through a compressible fluid, specifically in the context of hypersonic inviscid flow, where the effects of induced mass motion are significant. Pressure Ratio is denoted by r_p 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 (c_speed) 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?

Pressure Ratio for Unsteady Waves with Subtracted Induced Mass Motion for Expansion Waves formula is defined as a dimensionless quantity that characterizes the pressure variation in unsteady waves propagating through a compressible fluid, specifically in the context of hypersonic inviscid flow, where the effects of induced mass motion are significant and is represented as r_p = (1-((γ-1)/2)*(u'/c_speed))^(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?

Pressure Ratio for Unsteady Waves with Subtracted Induced Mass Motion for Expansion Waves formula is defined as a dimensionless quantity that characterizes the pressure variation in unsteady waves propagating through a compressible fluid, specifically in the context of hypersonic inviscid flow, where the effects of induced mass motion are significant 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 (c_speed). 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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