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Entropy Change across Normal Shock Formula

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Entropy Change of the system for an irreversible path is the same as for a reversible path between the same two states. Check FAQs

ΔS = R \cdot \ln (\frac{p 01}{p 02})

ΔS - Entropy Change?R - Specific Gas Constant?p₀₁ - Stagnation Pressure Ahead of Normal Shock?p₀₂ - Stagnation Pressure Behind Normal Shock?

Entropy Change across Normal Shock Example

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Here is how the Entropy Change across Normal Shock equation looks like with Values.

Here is how the Entropy Change across Normal Shock equation looks like with Units.

Here is how the Entropy Change across Normal Shock equation looks like.

7.9952 = 287 \cdot \ln (\frac{226.911}{220.677})

7.9952J/kg*K = 287J/(kg*K) \cdot \ln (\frac{226.911Pa}{220.677Pa})

7.9952 = 287 \cdot \ln (\frac{226.911}{220.677})

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Entropy Change across Normal Shock Solution

Follow our step by step solution on how to calculate Entropy Change across Normal Shock?

FIRST Step Consider the formula

ΔS = R \cdot \ln (\frac{p 01}{p 02})

Next Step Substitute values of Variables

∴

ΔS = 287J/(kg*K) \cdot \ln (\frac{226.911Pa}{220.677Pa})

Next Step Prepare to Evaluate

∴

ΔS = 287 \cdot \ln (\frac{226.911}{220.677})

Next Step Evaluate

∴

ΔS = 7.99518175505567J/kg*K

LAST Step Rounding Answer

∴

ΔS = 7.9952J/kg*K

Entropy Change across Normal Shock Formula Elements

Variables

Functions

Entropy Change

Entropy Change of the system for an irreversible path is the same as for a reversible path between the same two states.

Symbol: ΔS

Measurement: Specific EntropyUnit: J/kg*K

Note: Value can be positive or negative.

Formulas to find Entropy Change

Specific Gas Constant

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.

Symbol: R

Measurement: Specific Heat CapacityUnit: J/(kg*K)

Note: Value should be greater than 0.

Formulas to find Specific Gas Constant

Stagnation Pressure Ahead of Normal Shock

Stagnation Pressure Ahead of Normal Shock represents the total pressure of a fluid before encountering a normal shock wave.

Symbol: p₀₁

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Stagnation Pressure Ahead of Normal Shock

Stagnation Pressure Behind Normal Shock

Stagnation Pressure Behind Normal Shock is the stagnation or total or pitot pressure after passing through shock.

Symbol: p₀₂

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Stagnation Pressure Behind Normal Shock

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Property Change Across Shock Waves category

Go Shock Strength

Δp str = (\frac{2 \cdot γ}{1 + γ}) \cdot ({M 1}^{2} - 1)

Go Density Ratio across Normal Shock

ρ r = (γ + 1) \cdot \frac{{M 1}^{2}}{2 + (γ - 1) \cdot {M 1}^{2}}

Go Pressure Ratio across Normal Shock

P r = 1 + \frac{2 \cdot γ}{γ + 1} \cdot ({M 1}^{2} - 1)

Go Temperature Ratio across Normal Shock

T r = \frac{1 + (\frac{2 \cdot γ}{γ + 1}) \cdot ({M 1}^{2} - 1)}{(γ + 1) \cdot \frac{{M 1}^{2}}{2 + ((γ - 1) \cdot {M 1}^{2})}}

How to Evaluate Entropy Change across Normal Shock?

Entropy Change across Normal Shock evaluator uses Entropy Change = Specific Gas Constant*ln(Stagnation Pressure Ahead of Normal Shock/Stagnation Pressure Behind Normal Shock) to evaluate 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 evaluate Entropy Change across Normal Shock using this online evaluator? To use this online evaluator 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.

FAQs on Entropy Change across Normal Shock

What is the formula to find Entropy Change across Normal Shock?

The formula of Entropy Change across Normal Shock is expressed as Entropy Change = Specific Gas Constant*ln(Stagnation Pressure Ahead of Normal Shock/Stagnation Pressure Behind Normal Shock). Here is an example- -184.10284 = 287*ln(226.911/220.677).

How to calculate Entropy Change across Normal Shock?

With Specific Gas Constant (R), Stagnation Pressure Ahead of Normal Shock (p₀₁) & Stagnation Pressure Behind Normal Shock (p₀₂) we can find Entropy Change across Normal Shock using the formula - Entropy Change = Specific Gas Constant*ln(Stagnation Pressure Ahead of Normal Shock/Stagnation Pressure Behind Normal Shock). This formula also uses Natural Logarithm (ln) function(s).

Can the Entropy Change across Normal Shock be negative?

Yes, the Entropy Change across Normal Shock, measured in Specific Entropy can be negative.

Which unit is used to measure Entropy Change across Normal Shock?

Entropy Change across Normal Shock is usually measured using the Joule per Kilogram K[J/kg*K] for Specific Entropy. Calorie per Gram per Celcius[J/kg*K], Joule per Kilogram per Celcius[J/kg*K], Kilojoule per Kilogram per Celcius[J/kg*K] are the few other units in which Entropy Change across Normal Shock can be measured.

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Entropy Change across Normal Shock Formula

Entropy Change across Normal Shock Example

Entropy Change across Normal Shock Solution

Entropy Change across Normal Shock Formula Elements

Other formulas in Property Change Across Shock Waves category

How to Evaluate Entropy Change across Normal Shock?

FAQs on Entropy Change across Normal Shock

Variable Name