Static Enthalpy behind Normal Shock for given Upstream Enthalpy and Mach Number Calculator

✖Enthalpy Ahead of Normal Shock is the enthalpy of upstream of shock and it is defined as the sum of the system's internal energy and the product of its pressure and volume for per unit mass.ⓘ Enthalpy Ahead of Normal Shock [h₁]			+10% -10%
✖The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume.ⓘ Specific Heat Ratio [γ]			+10% -10%
✖Mach Number Ahead of Normal Shock represents the velocity of a fluid or airflow relative to the speed of sound before encountering a normal shock wave.ⓘ Mach Number Ahead of Normal Shock [M₁]			+10% -10%

✖Enthalpy Behind Normal Shock is the enthalpy of downstream of shock and it is defined as the sum of the system's internal energy and the product of its pressure and volume for per unit mass.ⓘ Static Enthalpy behind Normal Shock for given Upstream Enthalpy and Mach Number [h₂]

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Static Enthalpy behind Normal Shock for given Upstream Enthalpy and Mach Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Enthalpy Behind Normal Shock = Enthalpy Ahead of 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))
h₂ = h₁*(1+((2*γ)/(γ+1))*(M₁^2-1))/((γ+1)*(M₁^2)/(2+(γ-1)*M₁^2))
This formula uses 4 Variables

Variables Used

Enthalpy Behind Normal Shock - (Measured in Joule per Kilogram) - Enthalpy Behind Normal Shock is the enthalpy of downstream of shock and it is defined as the sum of the system's internal energy and the product of its pressure and volume for per unit mass.
Enthalpy Ahead of Normal Shock - (Measured in Joule per Kilogram) - Enthalpy Ahead of Normal Shock is the enthalpy of upstream of shock and it is defined as the sum of the system's internal energy and the product of its pressure and volume for per unit mass.
Specific Heat Ratio - The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume.
Mach Number Ahead of Normal Shock - Mach Number Ahead of Normal Shock represents the velocity of a fluid or airflow relative to the speed of sound before encountering a normal shock wave.

STEP 1: Convert Input(s) to Base Unit

Enthalpy Ahead of Normal Shock: 200.203 Joule per Kilogram --> 200.203 Joule per Kilogram No Conversion Required
Specific Heat Ratio: 1.4 --> No Conversion Required
Mach Number Ahead of Normal Shock: 1.49 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h₂ = h₁*(1+((2*γ)/(γ+1))*(M₁^2-1))/((γ+1)*(M₁^2)/(2+(γ-1)*M₁^2)) --> 200.203*(1+((2*1.4)/(1.4+1))*(1.49^2-1))/((1.4+1)*(1.49^2)/(2+(1.4-1)*1.49^2))

Evaluating ... ...

h₂ = 262.980817074534

STEP 3: Convert Result to Output's Unit

262.980817074534 Joule per Kilogram --> No Conversion Required

FINAL ANSWER

262.980817074534 ≈ 262.9808 Joule per Kilogram <-- Enthalpy Behind Normal Shock

(Calculation completed in 00.004 seconds)

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Created by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

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PSG College of Technology (PSGCT), Coimbatore

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< Downstream Shock Waves Calculators

Mach Number behind Shock

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

Static Pressure behind Normal Shock using Normal Shock Momentum Equation

LaTeX Go Static pressure Behind Normal shock = Static Pressure Ahead of Normal Shock+Density Ahead of Normal Shock*Velocity Upstream of Shock^2-Density Behind Normal Shock*Velocity Downstream of Shock^2

Velocity behind Normal Shock

LaTeX Go Velocity Downstream of Shock = Velocity Upstream of Shock/((Specific Heat Ratio+1)/((Specific Heat Ratio-1)+2/(Mach Number^2)))

Characteristic Mach Number behind Shock

LaTeX Go Characteristic Mach Number Behind Shock = 1/Characteristic Mach Number Ahead of Shock

Static Enthalpy behind Normal Shock for given Upstream Enthalpy and Mach Number Formula

LaTeX Go

How to obtain static enthalpy ratio across normal shock?

Static enthalpy ratio across a normal shock is obtained as the ratio of static temperature ratio across the normal shock wave.

How to Calculate Static Enthalpy behind Normal Shock for given Upstream Enthalpy and Mach Number?

Static Enthalpy behind Normal Shock for given Upstream Enthalpy and Mach Number calculator uses Enthalpy Behind Normal Shock = Enthalpy Ahead of 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)) to calculate the Enthalpy Behind Normal Shock, The Static Enthalpy behind Normal Shock for given Upstream Enthalpy and Mach Number computes the enthalpy of a fluid behind a normal shock wave based on the enthalpy ahead of the shock and the Mach number of the flow. This formula accounts for the ratio of specific heats for the fluid and provides insights into the change in enthalpy resulting from the shock wave passage. Enthalpy Behind Normal Shock is denoted by h₂ symbol.

How to calculate Static Enthalpy behind Normal Shock for given Upstream Enthalpy and Mach Number using this online calculator? To use this online calculator for Static Enthalpy behind Normal Shock for given Upstream Enthalpy and Mach Number, enter Enthalpy Ahead of Normal Shock (h₁), Specific Heat Ratio (γ) & Mach Number Ahead of Normal Shock (M₁) and hit the calculate button. Here is how the Static Enthalpy behind Normal Shock for given Upstream Enthalpy and Mach Number calculation can be explained with given input values -> 200.3364 = 200.203*(1+((2*1.4)/(1.4+1))*(1.49^2-1))/((1.4+1)*(1.49^2)/(2+(1.4-1)*1.49^2)).

FAQ

What is Static Enthalpy behind Normal Shock for given Upstream Enthalpy and Mach Number?

The Static Enthalpy behind Normal Shock for given Upstream Enthalpy and Mach Number computes the enthalpy of a fluid behind a normal shock wave based on the enthalpy ahead of the shock and the Mach number of the flow. This formula accounts for the ratio of specific heats for the fluid and provides insights into the change in enthalpy resulting from the shock wave passage and is represented as h₂ = h₁*(1+((2*γ)/(γ+1))*(M₁^2-1))/((γ+1)*(M₁^2)/(2+(γ-1)*M₁^2)) or Enthalpy Behind Normal Shock = Enthalpy Ahead of 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)). Enthalpy Ahead of Normal Shock is the enthalpy of upstream of shock and it is defined as the sum of the system's internal energy and the product of its pressure and volume for per unit mass, The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume & Mach Number Ahead of Normal Shock represents the velocity of a fluid or airflow relative to the speed of sound before encountering a normal shock wave.

How to calculate Static Enthalpy behind Normal Shock for given Upstream Enthalpy and Mach Number?

The Static Enthalpy behind Normal Shock for given Upstream Enthalpy and Mach Number computes the enthalpy of a fluid behind a normal shock wave based on the enthalpy ahead of the shock and the Mach number of the flow. This formula accounts for the ratio of specific heats for the fluid and provides insights into the change in enthalpy resulting from the shock wave passage is calculated using Enthalpy Behind Normal Shock = Enthalpy Ahead of 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)). To calculate Static Enthalpy behind Normal Shock for given Upstream Enthalpy and Mach Number, you need Enthalpy Ahead of Normal Shock (h₁), Specific Heat Ratio (γ) & Mach Number Ahead of Normal Shock (M₁). With our tool, you need to enter the respective value for Enthalpy Ahead of Normal Shock, Specific Heat Ratio & Mach Number Ahead of Normal Shock and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Enthalpy Behind Normal Shock?

In this formula, Enthalpy Behind Normal Shock uses Enthalpy Ahead of Normal Shock, Specific Heat Ratio & Mach Number Ahead of Normal Shock. We can use 1 other way(s) to calculate the same, which is/are as follows -

Enthalpy Behind Normal Shock = Enthalpy Ahead of Normal Shock+(Velocity Upstream of Shock^2-Velocity Downstream of Shock^2)/2

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