New Pressure after Shock Formation for Compression Wave Calculator

✖Density ahead of shock is the density of the fluid in the upstream direction of shock.ⓘ Density ahead of shock [ρ₁]			+10% -10%
✖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%
✖Normal velocity is the velocity normal to the shock formation.ⓘ Normal velocity [Vn]			+10% -10%
✖Old speed of sound is the speed of sound before the shock.ⓘ Old Speed of Sound [c_old]			+10% -10%
✖Time in seconds is what a clock reads, it is a scalar quantity.ⓘ Time in seconds [t_sec]			+10% -10%

✖Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ New Pressure after Shock Formation for Compression Wave [P]

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Formula

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New Pressure after Shock Formation for Compression Wave

Formula

`"P" = "ρ"_{"1"}*(1+(("γ"-1)/2)*("Vn"/"c"_{"old"}))^(2*"γ"/("γ"-"t"_{"sec"}))`

Example

`"1.324596Pa"="1.4kg/m³"*(1+(("1.6"-1)/2)*("1000m/s"/"342m/s"))^(2*"1.6"/("1.6"-"38s"))`

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New Pressure after Shock Formation for Compression Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
P = ρ₁*(1+((γ-1)/2)*(Vn/c_old))^(2*γ/(γ-t_sec))
This formula uses 6 Variables

Variables Used

Pressure - (Measured in Pascal) - Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Density ahead of shock - (Measured in Kilogram per Cubic Meter) - Density ahead of shock is the density of the fluid in the upstream direction of shock.
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.
Normal velocity - (Measured in Meter per Second) - Normal velocity is the velocity normal to the shock formation.
Old Speed of Sound - (Measured in Meter per Second) - Old speed of sound is the speed of sound before the shock.
Time in seconds - (Measured in Second) - Time in seconds is what a clock reads, it is a scalar quantity.

STEP 1: Convert Input(s) to Base Unit

Density ahead of shock: 1.4 Kilogram per Cubic Meter --> 1.4 Kilogram per Cubic Meter No Conversion Required
Specific Heat Ratio: 1.6 --> No Conversion Required
Normal velocity: 1000 Meter per Second --> 1000 Meter per Second No Conversion Required
Old Speed of Sound: 342 Meter per Second --> 342 Meter per Second No Conversion Required
Time in seconds: 38 Second --> 38 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = ρ₁*(1+((γ-1)/2)*(Vn/c_old))^(2*γ/(γ-t_sec)) --> 1.4*(1+((1.6-1)/2)*(1000/342))^(2*1.6/(1.6-38))

Evaluating ... ...

P = 1.32459556094178

STEP 3: Convert Result to Output's Unit

1.32459556094178 Pascal --> No Conversion Required

FINAL ANSWER

1.32459556094178 ≈ 1.324596 Pascal <-- Pressure

(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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< 3 Compression Waves Calculators

Density before Shock Formation for Compression 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 for Compression 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))

Temperature Ratio for Unsteady Compression Waves

Go Temperature Ratio = (1+((Specific Heat Ratio-1)/2)*(Induced Mass Motion/Speed of Sound))^2

New Pressure after Shock Formation for Compression Wave Formula

What is specific heat ratio?

In thermal physics and thermodynamics, the heat capacity ratio, also known as the adiabatic index, the ratio of specific heats, or Laplace's coefficient, is the ratio of the heat capacity at constant pressure (CP) to heat capacity at constant volume (CV).

How to Calculate New Pressure after Shock Formation for Compression Wave?

New Pressure after Shock Formation for Compression Wave calculator uses 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)) to calculate the Pressure, The New pressure after shock formation for compression wave 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 is denoted by P symbol.

How to calculate New Pressure after Shock Formation for Compression Wave using this online calculator? To use this online calculator for New Pressure after Shock Formation for Compression Wave, enter Density ahead of shock (ρ₁), Specific Heat Ratio (γ), Normal velocity (Vn), Old Speed of Sound (c_old) & Time in seconds (t_sec) and hit the calculate button. Here is how the New Pressure after Shock Formation for Compression Wave calculation can be explained with given input values -> 1.324596 = 1.4*(1+((1.6-1)/2)*(1000/342))^(2*1.6/(1.6-38)).

FAQ

What is New Pressure after Shock Formation for Compression Wave?

The New pressure after shock formation for compression wave 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 P = ρ₁*(1+((γ-1)/2)*(Vn/c_old))^(2*γ/(γ-t_sec)) or 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)). Density ahead of shock is the density of the fluid in the upstream direction of shock, 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, Normal velocity is the velocity normal to the shock formation, Old speed of sound is the speed of sound before the shock & Time in seconds is what a clock reads, it is a scalar quantity.

How to calculate New Pressure after Shock Formation for Compression Wave?

The New pressure after shock formation for compression wave 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 = 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)). To calculate New Pressure after Shock Formation for Compression Wave, you need Density ahead of shock (ρ₁), Specific Heat Ratio (γ), Normal velocity (Vn), Old Speed of Sound (c_old) & Time in seconds (t_sec). With our tool, you need to enter the respective value for Density ahead of shock, Specific Heat Ratio, Normal velocity, Old Speed of Sound & Time in seconds 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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