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Stagnation Pressure Formula

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Stagnation Pressure is the pressure at the stagnation temperature during the process of ramming. Check FAQs

p' = 2 \cdot P dynamic \cdot {(\cos (Φ))}^{2} + p ∞

p' - Stagnation Pressure?P_dynamic - Dynamic Pressure?Φ - Newtonian angle?p_∞ - Free Stream Pressure?

Stagnation Pressure Example

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Here is how the Stagnation Pressure equation looks like with Values.

Here is how the Stagnation Pressure equation looks like with Units.

Here is how the Stagnation Pressure equation looks like.

26.187 = 2 \cdot 12.56 \cdot {(\cos (56))}^{2} + 7.9

26.187Pa = 2 \cdot 12.56Pa \cdot {(\cos (56rad))}^{2} + 7.9Pa

26.187 = 2 \cdot 12.56 \cdot {(\cos (56))}^{2} + 7.9

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Stagnation Pressure Solution

Follow our step by step solution on how to calculate Stagnation Pressure?

FIRST Step Consider the formula

p' = 2 \cdot P dynamic \cdot {(\cos (Φ))}^{2} + p ∞

Next Step Substitute values of Variables

∴

p' = 2 \cdot 12.56Pa \cdot {(\cos (56rad))}^{2} + 7.9Pa

Next Step Prepare to Evaluate

∴

p' = 2 \cdot 12.56 \cdot {(\cos (56))}^{2} + 7.9

Next Step Evaluate

∴

p' = 26.1869719518201Pa

LAST Step Rounding Answer

∴

p' = 26.187Pa

Stagnation Pressure Formula Elements

Variables

Functions

Stagnation Pressure

Stagnation Pressure is the pressure at the stagnation temperature during the process of ramming.

Symbol: p'

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Stagnation Pressure

Dynamic 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.

Symbol: P_dynamic

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Dynamic Pressure

Newtonian angle

Newtonian angle is the angle between the normal to the surface and the freestream.

Symbol: Φ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Newtonian angle

Free Stream Pressure

Free Stream Pressure is the pressure of fluid that hasn't encountered any disturbance.

Symbol: p_∞

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Free Stream Pressure

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Laminar Boundary Layer at Stagnation point on Blunt body category

Go Newtonian Pressure Distribution over Surface using Cosine Angle

C p = 2 \cdot {(\cos (Φ))}^{2}

Go Newtonian Dynamic Pressure

P dynamic = 0.5 \cdot (p' - p ∞)

Go Nusselt Number for Stagnation Point on Blunt Body

Nu = Nus \cdot (0.7 \cdot {(\cos (Φ))}^{1.5} + 0.3)

Go Nusselt Number at Stagnation Point

Nus = \frac{Nu}{0.7 \cdot {(\cos (Φ))}^{1.5} + 0.3}

How to Evaluate Stagnation Pressure?

Stagnation Pressure evaluator uses Stagnation Pressure = 2*Dynamic Pressure*(cos(Newtonian angle))^2+Free Stream Pressure to evaluate 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 evaluate Stagnation Pressure using this online evaluator? To use this online evaluator for Stagnation Pressure, enter Dynamic Pressure (P_dynamic), Newtonian angle (Φ) & Free Stream Pressure (p_∞) and hit the calculate button.

FAQs on Stagnation Pressure

What is the formula to find Stagnation Pressure?

The formula of Stagnation Pressure is expressed as Stagnation Pressure = 2*Dynamic Pressure*(cos(Newtonian angle))^2+Free Stream Pressure. Here is an example- 76.18697 = 2*12.56*(cos(56))^2+7.9.

How to calculate Stagnation Pressure?

With Dynamic Pressure (P_dynamic), Newtonian angle (Φ) & Free Stream Pressure (p_∞) we can find Stagnation Pressure using the formula - Stagnation Pressure = 2*Dynamic Pressure*(cos(Newtonian angle))^2+Free Stream Pressure. This formula also uses Cosine (cos) function(s).

Can the Stagnation Pressure be negative?

Yes, the Stagnation Pressure, measured in Pressure can be negative.

Which unit is used to measure Stagnation Pressure?

Stagnation Pressure is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Stagnation Pressure can be measured.

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Stagnation Pressure Formula

Stagnation Pressure Example

Stagnation Pressure Solution

Stagnation Pressure Formula Elements

Other formulas in Laminar Boundary Layer at Stagnation point on Blunt body category

How to Evaluate Stagnation Pressure?

FAQs on Stagnation Pressure

Variable Name