Ratio of New and Old Temperature 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%
✖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%

✖Temperature ratio across shock is the ratio of downstream temperature to upstream temperature across the shock wave.ⓘ Ratio of New and Old Temperature for Expansion Waves [Tshock_ratio]

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Formula

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Ratio of New and Old Temperature for Expansion Waves

Formula

`"Tshock"_{"ratio"} = (1-(("γ"-1)/2)*("Vn"/"c"_{"old"}))^(2)`

Example

`"0.015082"=(1-(("1.6"-1)/2)*("1000m/s"/"342m/s"))^(2)`

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Ratio of New and Old Temperature for Expansion Waves Solution

STEP 0: Pre-Calculation Summary

Formula Used

Temperature Ratio across Shock = (1-((Specific Heat Ratio-1)/2)*(Normal velocity/Old Speed of Sound))^(2)
Tshock_ratio = (1-((γ-1)/2)*(Vn/c_old))^(2)
This formula uses 4 Variables

Variables Used

Temperature Ratio across Shock - Temperature ratio across shock is the ratio of downstream temperature to upstream temperature across the shock wave.
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.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Tshock_ratio = (1-((γ-1)/2)*(Vn/c_old))^(2) --> (1-((1.6-1)/2)*(1000/342))^(2)

Evaluating ... ...

Tshock_ratio = 0.0150815635580178

STEP 3: Convert Result to Output's Unit

0.0150815635580178 --> No Conversion Required

FINAL ANSWER

0.0150815635580178 ≈ 0.015082 <-- Temperature Ratio across Shock

(Calculation completed in 00.004 seconds)

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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

Ratio of New and Old Temperature for Expansion Waves Formula

Temperature Ratio across Shock = (1-((Specific Heat Ratio-1)/2)*(Normal velocity/Old Speed of Sound))^(2)
Tshock_ratio = (1-((γ-1)/2)*(Vn/c_old))^(2)

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 Ratio of New and Old Temperature for Expansion Waves?

Ratio of New and Old Temperature for Expansion Waves calculator uses Temperature Ratio across Shock = (1-((Specific Heat Ratio-1)/2)*(Normal velocity/Old Speed of Sound))^(2) to calculate the Temperature Ratio across Shock, The Ratio of new and old temperature for expansion waves formula is defined as the interrelation between specific heat ratio, speed of sound during the unsteady waves and normal velocity and old speed of sound and pressure after shock formation. Temperature Ratio across Shock is denoted by Tshock_ratio symbol.

How to calculate Ratio of New and Old Temperature for Expansion Waves using this online calculator? To use this online calculator for Ratio of New and Old Temperature for Expansion Waves, enter Specific Heat Ratio (γ), Normal velocity (Vn) & Old Speed of Sound (c_old) and hit the calculate button. Here is how the Ratio of New and Old Temperature for Expansion Waves calculation can be explained with given input values -> 0.015082 = (1-((1.6-1)/2)*(1000/342))^(2).

FAQ

What is Ratio of New and Old Temperature for Expansion Waves?

The Ratio of new and old temperature for expansion waves formula is defined as the interrelation between specific heat ratio, speed of sound during the unsteady waves and normal velocity and old speed of sound and pressure after shock formation and is represented as Tshock_ratio = (1-((γ-1)/2)*(Vn/c_old))^(2) or Temperature Ratio across Shock = (1-((Specific Heat Ratio-1)/2)*(Normal velocity/Old Speed of Sound))^(2). 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.

How to calculate Ratio of New and Old Temperature for Expansion Waves?

The Ratio of new and old temperature for expansion waves formula is defined as the interrelation between specific heat ratio, speed of sound during the unsteady waves and normal velocity and old speed of sound and pressure after shock formation is calculated using Temperature Ratio across Shock = (1-((Specific Heat Ratio-1)/2)*(Normal velocity/Old Speed of Sound))^(2). To calculate Ratio of New and Old Temperature for Expansion Waves, you need Specific Heat Ratio (γ), Normal velocity (Vn) & Old Speed of Sound (c_old). With our tool, you need to enter the respective value for Specific Heat Ratio, Normal velocity & Old 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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