Static Pressure behind Normal Shock using Normal Shock Momentum Equation Calculator

✖Static Pressure Ahead of Normal Shock is the pressure in the upstream direction of shock.ⓘ Static Pressure Ahead of Normal Shock [P₁]			+10% -10%
✖Density Ahead of Normal Shock refers to the density of a fluid before encountering a normal shock wave.ⓘ Density Ahead of Normal Shock [ρ₁]			+10% -10%
✖Velocity Upstream of Shock is the velocity of flow ahead of the shock wave.ⓘ Velocity Upstream of Shock [V₁]			+10% -10%
✖Density Behind Normal Shock represents the density of a fluid after passing through a normal shock wave.ⓘ Density Behind Normal Shock [ρ₂]			+10% -10%
✖Velocity Downstream of Shock is the velocity of flow behind the shock wave.ⓘ Velocity Downstream of Shock [V₂]			+10% -10%

✖Static Pressure Behind Normal Shock denotes the pressure of a fluid after passing through a normal shock wave.ⓘ Static Pressure behind Normal Shock using Normal Shock Momentum Equation [P₂]

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Static Pressure behind Normal Shock using Normal Shock Momentum Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
P₂ = P₁+ρ₁*V₁^2-ρ₂*V₂^2
This formula uses 6 Variables

Variables Used

Static pressure Behind Normal shock - (Measured in Pascal) - Static Pressure Behind Normal Shock denotes the pressure of a fluid after passing through a normal shock wave.
Static Pressure Ahead of Normal Shock - (Measured in Pascal) - Static Pressure Ahead of Normal Shock is the pressure in the upstream direction of shock.
Density Ahead of Normal Shock - (Measured in Kilogram per Cubic Meter) - Density Ahead of Normal Shock refers to the density of a fluid before encountering a normal shock wave.
Velocity Upstream of Shock - (Measured in Meter per Second) - Velocity Upstream of Shock is the velocity of flow ahead of the shock wave.
Density Behind Normal Shock - (Measured in Kilogram per Cubic Meter) - Density Behind Normal Shock represents the density of a fluid after passing through a normal shock wave.
Velocity Downstream of Shock - (Measured in Meter per Second) - Velocity Downstream of Shock is the velocity of flow behind the shock wave.

STEP 1: Convert Input(s) to Base Unit

Static Pressure Ahead of Normal Shock: 65.374 Pascal --> 65.374 Pascal No Conversion Required
Density Ahead of Normal Shock: 5.4 Kilogram per Cubic Meter --> 5.4 Kilogram per Cubic Meter No Conversion Required
Velocity Upstream of Shock: 80.134 Meter per Second --> 80.134 Meter per Second No Conversion Required
Density Behind Normal Shock: 5.5 Kilogram per Cubic Meter --> 5.5 Kilogram per Cubic Meter No Conversion Required
Velocity Downstream of Shock: 79.351 Meter per Second --> 79.351 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P₂ = P₁+ρ₁*V₁^2-ρ₂*V₂^2 --> 65.374+5.4*80.134^2-5.5*79.351^2

Evaluating ... ...

P₂ = 110.050356900007

STEP 3: Convert Result to Output's Unit

110.050356900007 Pascal --> No Conversion Required

FINAL ANSWER

110.050356900007 ≈ 110.0504 Pascal <-- Static pressure 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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Verified by Vinay Mishra

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

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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 Pressure behind Normal Shock using Normal Shock Momentum Equation Formula

LaTeX Go

What is normal Shock?

Normal shock is a shock wave that is normal to the upstream flow. The flow properties change drastically across the normal shock.

What is upstream and downstream flow?

The flow ahead of the shock or incoming flow is called upstream flow and flow behind the shock is the downstream flow.

How to Calculate Static Pressure behind Normal Shock using Normal Shock Momentum Equation?

Static Pressure behind Normal Shock using Normal Shock Momentum Equation calculator uses 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 to calculate the Static pressure Behind Normal shock, Static Pressure behind Normal Shock using Normal Shock Momentum Equation formula is defined as a relationship that describes the pressure changes across a normal shock wave in compressible flow, highlighting the effects of velocity and density variations on pressure. Static pressure Behind Normal shock is denoted by P₂ symbol.

How to calculate Static Pressure behind Normal Shock using Normal Shock Momentum Equation using this online calculator? To use this online calculator for Static Pressure behind Normal Shock using Normal Shock Momentum Equation, enter Static Pressure Ahead of Normal Shock (P₁), Density Ahead of Normal Shock (ρ₁), Velocity Upstream of Shock (V₁), Density Behind Normal Shock (ρ₂) & Velocity Downstream of Shock (V₂) and hit the calculate button. Here is how the Static Pressure behind Normal Shock using Normal Shock Momentum Equation calculation can be explained with given input values -> 78969.18 = 65.374+5.4*80.134^2-5.5*79.351^2.

FAQ

What is Static Pressure behind Normal Shock using Normal Shock Momentum Equation?

Static Pressure behind Normal Shock using Normal Shock Momentum Equation formula is defined as a relationship that describes the pressure changes across a normal shock wave in compressible flow, highlighting the effects of velocity and density variations on pressure and is represented as P₂ = P₁+ρ₁*V₁^2-ρ₂*V₂^2 or 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. Static Pressure Ahead of Normal Shock is the pressure in the upstream direction of shock, Density Ahead of Normal Shock refers to the density of a fluid before encountering a normal shock wave, Velocity Upstream of Shock is the velocity of flow ahead of the shock wave, Density Behind Normal Shock represents the density of a fluid after passing through a normal shock wave & Velocity Downstream of Shock is the velocity of flow behind the shock wave.

How to calculate Static Pressure behind Normal Shock using Normal Shock Momentum Equation?

Static Pressure behind Normal Shock using Normal Shock Momentum Equation formula is defined as a relationship that describes the pressure changes across a normal shock wave in compressible flow, highlighting the effects of velocity and density variations on pressure is calculated using 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. To calculate Static Pressure behind Normal Shock using Normal Shock Momentum Equation, you need Static Pressure Ahead of Normal Shock (P₁), Density Ahead of Normal Shock (ρ₁), Velocity Upstream of Shock (V₁), Density Behind Normal Shock (ρ₂) & Velocity Downstream of Shock (V₂). With our tool, you need to enter the respective value for Static Pressure Ahead of Normal Shock, Density Ahead of Normal Shock, Velocity Upstream of Shock, Density Behind Normal Shock & Velocity Downstream of 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 Static pressure Behind Normal shock?

In this formula, Static pressure Behind Normal shock uses Static Pressure Ahead of Normal Shock, Density Ahead of Normal Shock, Velocity Upstream of Shock, Density Behind Normal Shock & Velocity Downstream of Shock. We can use 1 other way(s) to calculate the same, which is/are as follows -

Static pressure Behind Normal shock = Static Pressure Ahead of Normal Shock*(1+((2*Specific Heat Ratio)/(Specific Heat Ratio+1))*(Mach Number Ahead of Normal Shock^2-1))

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