Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation Calculator

⤿

Compressible Flow

Fundamentals of Inviscid and Incompressible Flow

Three-Dimensional Incompressible Flow

Two-Dimensional Incompressible Flow

⤿

Normal Shock Wave

Governing Equations and Sound Wave

Oblique Shock and Expansion Waves

⤿

Upstream Shock Waves

Downstream Shock Waves

Normal Shock Relations

Property Change Across Shock Waves

✖Static Pressure Behind Normal Shock denotes the pressure of a fluid after passing through a normal shock wave.ⓘ Static pressure Behind Normal shock [P₂]			+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%
✖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%

✖Static Pressure Ahead of Normal Shock is the pressure in the upstream direction of shock.ⓘ Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation [P₁]

⎘ Copy

👎

Formula

✖

Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation

Formula

`"P"_{"1"} = "P"_{"2"}+"ρ"_{"2"}*"V"_{"2"}^2-"ρ"_{"1"}*"V"_{"1"}^2`

Example

`"65.32364Pa"="110Pa"+"5.5kg/m³"*("79.351m/s")^2-"5.4kg/m³"*("80.134m/s")^2`

Calculator

LaTeX

Reset

👍

Download Normal Shock Wave Formulas PDF PDF Image

Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Static Pressure Ahead of Normal Shock = Static pressure Behind Normal shock+Density Behind Normal Shock*Velocity Downstream of Shock^2-Density Ahead of Normal Shock*Velocity Upstream of Shock^2
P₁ = P₂+ρ₂*V₂^2-ρ₁*V₁^2
This formula uses 6 Variables

Variables Used

Static Pressure Ahead of Normal Shock - (Measured in Pascal) - Static Pressure Ahead of Normal Shock is the pressure in the upstream direction of shock.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Static pressure Behind Normal shock: 110 Pascal --> 110 Pascal 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
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P₁ = P₂+ρ₂*V₂^2-ρ₁*V₁^2 --> 110+5.5*79.351^2-5.4*80.134^2

Evaluating ... ...

P₁ = 65.3236430999968

STEP 3: Convert Result to Output's Unit

65.3236430999968 Pascal --> No Conversion Required

FINAL ANSWER

65.3236430999968 ≈ 65.32364 Pascal <-- Static Pressure Ahead of Normal Shock

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Aerodynamics » Compressible Flow » Normal Shock Wave » Upstream Shock Waves » Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation

Credits

Created by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

Shikha Maurya has created this Calculator and 100+ more calculators!

Verified by Vinay Mishra

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

Vinay Mishra has verified this Calculator and 100+ more calculators!

< 7 Upstream Shock Waves Calculators

Velocity ahead of Normal Shock by Normal Shock Momentum Equation

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

Density ahead of Normal Shock using Normal Shock Momentum Equation

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

Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation

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

Velocity ahead of Normal Shock from Normal Shock Energy Equation

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

Enthalpy ahead of Normal Shock from Normal Shock Energy Equation

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

Flow Velocity Upstream of Shock Wave using Continuity Equation

Go Velocity Upstream of Shock = (Density Behind Normal Shock*Velocity Downstream of Shock)/Density Ahead of Normal Shock

Density Upstream of Shock Wave using Continuity Equation

Go Density Ahead of Normal Shock = (Density Behind Normal Shock*Velocity Downstream of Shock)/Velocity Upstream of Shock

Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation Formula

What is shock wave?

A shock wave is an extremely thin region, typically on the order of 10- 5 cm, across which the flow properties can change drastically. The shock wave is usually at an oblique angle to the flow, however, there are many cases where we are interested in a shock wave normal to the flow, In both cases, the shock wave is an almost explosive compression process, where the pressure increases almost discontinuously across the wave.

What flow properties changes across shock?

Shock waves are very thin regions in a supersonic flow across which the pressure, density, temperature, and entropy increase; the Mach number, flow velocity, and total pressure decrease; and the total enthalpy stays the same.

How to Calculate Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation?

Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation calculator uses Static Pressure Ahead of Normal Shock = Static pressure Behind Normal shock+Density Behind Normal Shock*Velocity Downstream of Shock^2-Density Ahead of Normal Shock*Velocity Upstream of Shock^2 to calculate the Static Pressure Ahead of Normal Shock, The Static Pressure ahead of normal shock using normal shock momentum equation formula is defined as the function of downstream static pressure, upstream and downstream velocity across the normal shock. Static Pressure Ahead of Normal Shock is denoted by P₁ symbol.

How to calculate Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation using this online calculator? To use this online calculator for Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation, enter Static pressure Behind Normal shock (P₂), Density Behind Normal Shock (ρ₂), Velocity Downstream of Shock (V₂), Density Ahead of Normal Shock (ρ₁) & Velocity Upstream of Shock (V₁) and hit the calculate button. Here is how the Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation calculation can be explained with given input values -> -78793.803395 = 110+5.5*79.351^2-5.4*80.134^2.

FAQ

What is Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation?

The Static Pressure ahead of normal shock using normal shock momentum equation formula is defined as the function of downstream static pressure, upstream and downstream velocity across the normal shock and is represented as P₁ = P₂+ρ₂*V₂^2-ρ₁*V₁^2 or Static Pressure Ahead of Normal Shock = Static pressure Behind Normal shock+Density Behind Normal Shock*Velocity Downstream of Shock^2-Density Ahead of Normal Shock*Velocity Upstream of Shock^2. Static Pressure Behind Normal Shock denotes the pressure of a fluid after passing through a normal 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, 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.

How to calculate Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation?

The Static Pressure ahead of normal shock using normal shock momentum equation formula is defined as the function of downstream static pressure, upstream and downstream velocity across the normal shock is calculated using Static Pressure Ahead of Normal Shock = Static pressure Behind Normal shock+Density Behind Normal Shock*Velocity Downstream of Shock^2-Density Ahead of Normal Shock*Velocity Upstream of Shock^2. To calculate Static Pressure ahead of Normal Shock using Normal Shock Momentum Equation, you need Static pressure Behind Normal shock (P₂), Density Behind Normal Shock (ρ₂), Velocity Downstream of Shock (V₂), Density Ahead of Normal Shock (ρ₁) & Velocity Upstream of Shock (V₁). With our tool, you need to enter the respective value for Static pressure Behind Normal shock, Density Behind Normal Shock, Velocity Downstream of Shock, Density Ahead of Normal Shock & Velocity Upstream of Shock and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search