Entropy Change across Normal Shock Calculator

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Compressible Flow

Fundamentals of Inviscid and Incompressible Flow

Three-Dimensional Incompressible Flow

Two-Dimensional Incompressible Flow

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Normal Shock Wave

Governing Equations and Sound Wave

Oblique Shock and Expansion Waves

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Property Change Across Shock Waves

Downstream Shock Waves

Normal Shock Relations

Upstream Shock Waves

✖The Specific Gas Constant of a gas or a mixture of gases is given by the molar gas constant divided by the molar mass of the gas or mixture.ⓘ Specific Gas Constant [R]			+10% -10%
✖Stagnation Pressure Ahead of Normal Shock represents the total pressure of a fluid before encountering a normal shock wave.ⓘ Stagnation Pressure Ahead of Normal Shock [p₀₁]			+10% -10%
✖Stagnation Pressure Behind Normal Shock is the stagnation or total or pitot pressure after passing through shock.ⓘ Stagnation Pressure Behind Normal Shock [p₀₂]			+10% -10%

✖Entropy Change of the system for an irreversible path is the same as for a reversible path between the same two states.ⓘ Entropy Change across Normal Shock [ΔS]

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Formula

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Entropy Change across Normal Shock

Formula

`"ΔS" = "R"*ln("p"_{"01"}/"p"_{"02"})`

Example

`"7.995182J/kg*K"="287J/(kg*K)"*ln("226.911Pa"/"220.677Pa")`

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Entropy Change across Normal Shock Solution

STEP 0: Pre-Calculation Summary

Formula Used

Entropy Change = Specific Gas Constant*ln(Stagnation Pressure Ahead of Normal Shock/Stagnation Pressure Behind Normal Shock)
ΔS = R*ln(p₀₁/p₀₂)
This formula uses 1 Functions, 4 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Entropy Change - (Measured in Joule per Kilogram K) - Entropy Change of the system for an irreversible path is the same as for a reversible path between the same two states.
Specific Gas Constant - (Measured in Joule per Kilogram per K) - The Specific Gas Constant of a gas or a mixture of gases is given by the molar gas constant divided by the molar mass of the gas or mixture.
Stagnation Pressure Ahead of Normal Shock - (Measured in Pascal) - Stagnation Pressure Ahead of Normal Shock represents the total pressure of a fluid before encountering a normal shock wave.
Stagnation Pressure Behind Normal Shock - (Measured in Pascal) - Stagnation Pressure Behind Normal Shock is the stagnation or total or pitot pressure after passing through shock.

STEP 1: Convert Input(s) to Base Unit

Specific Gas Constant: 287 Joule per Kilogram per K --> 287 Joule per Kilogram per K No Conversion Required
Stagnation Pressure Ahead of Normal Shock: 226.911 Pascal --> 226.911 Pascal No Conversion Required
Stagnation Pressure Behind Normal Shock: 220.677 Pascal --> 220.677 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔS = R*ln(p₀₁/p₀₂) --> 287*ln(226.911/220.677)

Evaluating ... ...

ΔS = 7.99518175505567

STEP 3: Convert Result to Output's Unit

7.99518175505567 Joule per Kilogram K --> No Conversion Required

FINAL ANSWER

7.99518175505567 ≈ 7.995182 Joule per Kilogram K <-- Entropy Change

(Calculation completed in 00.004 seconds)

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Created by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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< 6 Property Change Across Shock Waves Calculators

Static Enthalpy Ratio across Normal Shock

Go Static Enthalpy Ratio Across Normal Shock = (1+((2*Specific Heat Ratio)/(Specific Heat Ratio+1))*(Mach Number Ahead of Normal Shock^2-1))/((Specific Heat Ratio+1)*(Mach Number Ahead of Normal Shock^2)/(2+(Specific Heat Ratio-1)*Mach Number Ahead of Normal Shock^2))

Temperature Ratio across Normal Shock

Go Temperature Ratio Across Normal Shock = (1+((2*Specific Heat Ratio)/(Specific Heat Ratio+1))*(Mach Number Ahead of Normal Shock^2-1))/((Specific Heat Ratio+1)*(Mach Number Ahead of Normal Shock^2)/(2+((Specific Heat Ratio-1)*Mach Number Ahead of Normal Shock^2)))

Density Ratio across Normal Shock

Go Density Ratio Across Normal Shock = (Specific Heat Ratio+1)*(Mach Number Ahead of Normal Shock^2)/(2+(Specific Heat Ratio-1)*Mach Number Ahead of Normal Shock^2)

Entropy Change across Normal Shock

Go Entropy Change = Specific Gas Constant*ln(Stagnation Pressure Ahead of Normal Shock/Stagnation Pressure Behind Normal Shock)

Pressure Ratio across Normal Shock

Go Pressure Ratio Across Normal Shock = 1+(2*Specific Heat Ratio)/(Specific Heat Ratio+1)*(Mach Number Ahead of Normal Shock^2-1)

Shock Strength

Go Shock Strength = ((2*Specific Heat Ratio)/(1+Specific Heat Ratio))*(Mach Number Ahead of Normal Shock^2-1)

Entropy Change across Normal Shock Formula

Entropy Change = Specific Gas Constant*ln(Stagnation Pressure Ahead of Normal Shock/Stagnation Pressure Behind Normal Shock)
ΔS = R*ln(p₀₁/p₀₂)

What is entropy?

Entropy is a measure of the unavailable energy in a closed thermodynamic system that is also usually considered to be a measure of the system's disorder

How to Calculate Entropy Change across Normal Shock?

Entropy Change across Normal Shock calculator uses Entropy Change = Specific Gas Constant*ln(Stagnation Pressure Ahead of Normal Shock/Stagnation Pressure Behind Normal Shock) to calculate the Entropy Change, The Entropy Change across Normal Shock computes the change in entropy across a normal shock wave. This formula utilizes parameters such as the specific gas constant and the ratio of stagnation pressures ahead and behind the shock. It provides insight into the change in entropy resulting from the shock wave passage, aiding in the analysis of thermodynamic properties in compressible flow. Entropy Change is denoted by ΔS symbol.

How to calculate Entropy Change across Normal Shock using this online calculator? To use this online calculator for Entropy Change across Normal Shock, enter Specific Gas Constant (R), Stagnation Pressure Ahead of Normal Shock (p₀₁) & Stagnation Pressure Behind Normal Shock (p₀₂) and hit the calculate button. Here is how the Entropy Change across Normal Shock calculation can be explained with given input values -> -184.10284 = 287*ln(226.911/220.677).

FAQ

What is Entropy Change across Normal Shock?

The Entropy Change across Normal Shock computes the change in entropy across a normal shock wave. This formula utilizes parameters such as the specific gas constant and the ratio of stagnation pressures ahead and behind the shock. It provides insight into the change in entropy resulting from the shock wave passage, aiding in the analysis of thermodynamic properties in compressible flow and is represented as ΔS = R*ln(p₀₁/p₀₂) or Entropy Change = Specific Gas Constant*ln(Stagnation Pressure Ahead of Normal Shock/Stagnation Pressure Behind Normal Shock). The Specific Gas Constant of a gas or a mixture of gases is given by the molar gas constant divided by the molar mass of the gas or mixture, Stagnation Pressure Ahead of Normal Shock represents the total pressure of a fluid before encountering a normal shock wave & Stagnation Pressure Behind Normal Shock is the stagnation or total or pitot pressure after passing through shock.

How to calculate Entropy Change across Normal Shock?

The Entropy Change across Normal Shock computes the change in entropy across a normal shock wave. This formula utilizes parameters such as the specific gas constant and the ratio of stagnation pressures ahead and behind the shock. It provides insight into the change in entropy resulting from the shock wave passage, aiding in the analysis of thermodynamic properties in compressible flow is calculated using Entropy Change = Specific Gas Constant*ln(Stagnation Pressure Ahead of Normal Shock/Stagnation Pressure Behind Normal Shock). To calculate Entropy Change across Normal Shock, you need Specific Gas Constant (R), Stagnation Pressure Ahead of Normal Shock (p₀₁) & Stagnation Pressure Behind Normal Shock (p₀₂). With our tool, you need to enter the respective value for Specific Gas Constant, Stagnation Pressure Ahead of Normal Shock & Stagnation Pressure Behind Normal Shock 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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