Stagnation Pressure Calculator

✖Dynamic Pressure is simply a convenient name for the quantity which represents the decrease in the pressure due to the velocity of the fluid.ⓘ Dynamic Pressure [P_dynamic]			+10% -10%
✖Newtonian angle is the angle between the normal to the surface and the freestream.ⓘ Newtonian angle [Φ]			+10% -10%
✖Free Stream Pressure is the pressure of fluid that hasn't encountered any disturbance.ⓘ Free Stream Pressure [p_∞]			+10% -10%

✖Stagnation Pressure is the pressure at the stagnation temperature during the process of ramming.ⓘ Stagnation Pressure [p']

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Formula

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Stagnation Pressure

Formula

`"p'" = 2*"P"_{"dynamic"}*(cos("Φ"))^2+"p"_{"∞"}`

Example

`"26.18697Pa"=2*"12.56Pa"*(cos("56rad"))^2+"7.9Pa"`

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Stagnation Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stagnation Pressure = 2*Dynamic Pressure*(cos(Newtonian angle))^2+Free Stream Pressure
p' = 2*P_dynamic*(cos(Φ))^2+p_∞
This formula uses 1 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Stagnation Pressure - (Measured in Pascal) - Stagnation Pressure is the pressure at the stagnation temperature during the process of ramming.
Dynamic Pressure - (Measured in Pascal) - Dynamic Pressure is simply a convenient name for the quantity which represents the decrease in the pressure due to the velocity of the fluid.
Newtonian angle - (Measured in Radian) - Newtonian angle is the angle between the normal to the surface and the freestream.
Free Stream Pressure - (Measured in Pascal) - Free Stream Pressure is the pressure of fluid that hasn't encountered any disturbance.

STEP 1: Convert Input(s) to Base Unit

Dynamic Pressure: 12.56 Pascal --> 12.56 Pascal No Conversion Required
Newtonian angle: 56 Radian --> 56 Radian No Conversion Required
Free Stream Pressure: 7.9 Pascal --> 7.9 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p' = 2*P_dynamic*(cos(Φ))^2+p_∞ --> 2*12.56*(cos(56))^2+7.9

Evaluating ... ...

p' = 26.1869719518201

STEP 3: Convert Result to Output's Unit

26.1869719518201 Pascal --> No Conversion Required

FINAL ANSWER

26.1869719518201 ≈ 26.18697 Pascal <-- Stagnation Pressure

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Laminar Boundary Layer at Stagnation point on Blunt body » Stagnation Pressure

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has created this Calculator and 300+ more calculators!

Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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< 7 Laminar Boundary Layer at Stagnation point on Blunt body Calculators

Stagnation Pressure

Go Stagnation Pressure = 2*Dynamic Pressure*(cos(Newtonian angle))^2+Free Stream Pressure

Nusselt Number for Stagnation Point on Blunt Body

Go Nusselt Number = Nusselt Number at Stagnation Point*(0.7*(cos(Newtonian angle))^(1.5)+0.3)

Nusselt Number at Stagnation Point

Go Nusselt Number at Stagnation Point = Nusselt Number/(0.7*(cos(Newtonian angle))^(1.5)+0.3)

Reynolds Analogy for Stanton Number in Finite Difference Method

Go Stanton Number = Skin friction coefficient/(2*Reynolds Analogy Factor)

Reynolds Analogy Factor in Finite Deference Method

Go Reynolds Analogy Factor = Skin friction coefficient/(2*Stanton Number)

Newtonian Dynamic Pressure

Go Dynamic Pressure = 0.5*(Stagnation Pressure-Free Stream Pressure)

Newtonian Pressure Distribution over Surface using Cosine Angle

Go Pressure Coefficient = 2*(cos(Newtonian angle))^2

Stagnation Pressure Formula

Stagnation Pressure = 2*Dynamic Pressure*(cos(Newtonian angle))^2+Free Stream Pressure
p' = 2*P_dynamic*(cos(Φ))^2+p_∞

What is Newtonian pressure distribution?

Newtonian Theory uses the pressure distribution of air flowing over a body to calculate forces and moments at hypersonic speeds.

How to Calculate Stagnation Pressure?

Stagnation Pressure calculator uses Stagnation Pressure = 2*Dynamic Pressure*(cos(Newtonian angle))^2+Free Stream Pressure to calculate the Stagnation Pressure, The Stagnation pressure formula is defined as the interrelation between dynamic pressure, cosine angle between normal to the surface, and free stream flow and freestream static pressure. Stagnation Pressure is denoted by p' symbol.

How to calculate Stagnation Pressure using this online calculator? To use this online calculator for Stagnation Pressure, enter Dynamic Pressure (P_dynamic), Newtonian angle (Φ) & Free Stream Pressure (p_∞) and hit the calculate button. Here is how the Stagnation Pressure calculation can be explained with given input values -> 76.18697 = 2*12.56*(cos(56))^2+7.9.

FAQ

What is Stagnation Pressure?

The Stagnation pressure formula is defined as the interrelation between dynamic pressure, cosine angle between normal to the surface, and free stream flow and freestream static pressure and is represented as p' = 2*P_dynamic*(cos(Φ))^2+p_∞ or Stagnation Pressure = 2*Dynamic Pressure*(cos(Newtonian angle))^2+Free Stream Pressure. Dynamic Pressure is simply a convenient name for the quantity which represents the decrease in the pressure due to the velocity of the fluid, Newtonian angle is the angle between the normal to the surface and the freestream & Free Stream Pressure is the pressure of fluid that hasn't encountered any disturbance.

How to calculate Stagnation Pressure?

The Stagnation pressure formula is defined as the interrelation between dynamic pressure, cosine angle between normal to the surface, and free stream flow and freestream static pressure is calculated using Stagnation Pressure = 2*Dynamic Pressure*(cos(Newtonian angle))^2+Free Stream Pressure. To calculate Stagnation Pressure, you need Dynamic Pressure (P_dynamic), Newtonian angle (Φ) & Free Stream Pressure (p_∞). With our tool, you need to enter the respective value for Dynamic Pressure, Newtonian angle & Free Stream Pressure 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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