Newtonian Dynamic Pressure Calculator

✖Stagnation Pressure is the pressure at the stagnation temperature during the process of ramming.ⓘ Stagnation Pressure [p']			+10% -10%
✖Free Stream Pressure is the pressure of fluid that hasn't encountered any disturbance.ⓘ Free Stream Pressure [p_∞]			+10% -10%

✖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 Dynamic Pressure [P_dynamic]

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Formula

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Newtonian Dynamic Pressure

Formula

`"P"_{"dynamic"} = 0.5*("p'"-"p"_{"∞"})`

Example

`"12.05Pa"=0.5*("32Pa"-"7.9Pa")`

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Newtonian Dynamic Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Pressure = 0.5*(Stagnation Pressure-Free Stream Pressure)
P_dynamic = 0.5*(p'-p_∞)
This formula uses 3 Variables

Variables Used

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.
Stagnation Pressure - (Measured in Pascal) - Stagnation Pressure is the pressure at the stagnation temperature during the process of ramming.
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

Stagnation Pressure: 32 Pascal --> 32 Pascal 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_dynamic = 0.5*(p'-p_∞) --> 0.5*(32-7.9)

Evaluating ... ...

P_dynamic = 12.05

STEP 3: Convert Result to Output's Unit

12.05 Pascal --> No Conversion Required

FINAL ANSWER

12.05 Pascal <-- Dynamic Pressure

(Calculation completed in 00.004 seconds)

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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

Maiarutselvan V has verified this Calculator and 300+ more calculators!

< 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

Newtonian Dynamic Pressure Formula

Dynamic Pressure = 0.5*(Stagnation Pressure-Free Stream Pressure)
P_dynamic = 0.5*(p'-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 Newtonian Dynamic Pressure?

Newtonian Dynamic Pressure calculator uses Dynamic Pressure = 0.5*(Stagnation Pressure-Free Stream Pressure) to calculate the Dynamic Pressure, Newtonian Dynamic Pressure is defined as half of the difference between stagnation pressure and static pressure of the freestream flow. Dynamic Pressure is denoted by P_dynamic symbol.

How to calculate Newtonian Dynamic Pressure using this online calculator? To use this online calculator for Newtonian Dynamic Pressure, enter Stagnation Pressure (p') & Free Stream Pressure (p_∞) and hit the calculate button. Here is how the Newtonian Dynamic Pressure calculation can be explained with given input values -> -12.95 = 0.5*(32-7.9).

FAQ

What is Newtonian Dynamic Pressure?

Newtonian Dynamic Pressure is defined as half of the difference between stagnation pressure and static pressure of the freestream flow and is represented as P_dynamic = 0.5*(p'-p_∞) or Dynamic Pressure = 0.5*(Stagnation Pressure-Free Stream Pressure). Stagnation Pressure is the pressure at the stagnation temperature during the process of ramming & Free Stream Pressure is the pressure of fluid that hasn't encountered any disturbance.

How to calculate Newtonian Dynamic Pressure?

Newtonian Dynamic Pressure is defined as half of the difference between stagnation pressure and static pressure of the freestream flow is calculated using Dynamic Pressure = 0.5*(Stagnation Pressure-Free Stream Pressure). To calculate Newtonian Dynamic Pressure, you need Stagnation Pressure (p') & Free Stream Pressure (p_∞). With our tool, you need to enter the respective value for Stagnation Pressure & 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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