Newtonian Pressure Distribution over Surface using Cosine Angle Calculator

✖Pressure coefficient defines the value of local pressure at a point in terms of free stream pressure and dynamic pressure.ⓘ Newtonian Pressure Distribution over Surface using Cosine Angle [C_p]

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Formula

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Newtonian Pressure Distribution over Surface using Cosine Angle

Formula

`"C"_{"p"} = 2*(cos("Φ"))^2`

Example

`"1.455969"=2*(cos("56rad"))^2`

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Newtonian Pressure Distribution over Surface using Cosine Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Coefficient = 2*(cos(Newtonian angle))^2
C_p = 2*(cos(Φ))^2
This formula uses 1 Functions, 2 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

Pressure Coefficient - Pressure coefficient defines the value of local pressure at a point in terms of free stream pressure and dynamic pressure.
Newtonian angle - (Measured in Radian) - Newtonian angle is the angle between the normal to the surface and the freestream.

STEP 1: Convert Input(s) to Base Unit

Newtonian angle: 56 Radian --> 56 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_p = 2*(cos(Φ))^2 --> 2*(cos(56))^2

Evaluating ... ...

C_p = 1.45596910444428

STEP 3: Convert Result to Output's Unit

1.45596910444428 --> No Conversion Required

FINAL ANSWER

1.45596910444428 ≈ 1.455969 <-- Pressure Coefficient

(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 » Newtonian Pressure Distribution over Surface using Cosine Angle

Credits

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 Pressure Distribution over Surface using Cosine Angle Formula

Pressure Coefficient = 2*(cos(Newtonian angle))^2
C_p = 2*(cos(Φ))^2

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 Pressure Distribution over Surface using Cosine Angle?

Newtonian Pressure Distribution over Surface using Cosine Angle calculator uses Pressure Coefficient = 2*(cos(Newtonian angle))^2 to calculate the Pressure Coefficient, Newtonian pressure distribution over surface using cosine angle formula is defined as the double of the square of cosine angle, where the angle is between the normal to the surface and the freestream. Pressure Coefficient is denoted by C_p symbol.

How to calculate Newtonian Pressure Distribution over Surface using Cosine Angle using this online calculator? To use this online calculator for Newtonian Pressure Distribution over Surface using Cosine Angle, enter Newtonian angle (Φ) and hit the calculate button. Here is how the Newtonian Pressure Distribution over Surface using Cosine Angle calculation can be explained with given input values -> 1.455969 = 2*(cos(56))^2.

FAQ

What is Newtonian Pressure Distribution over Surface using Cosine Angle?

Newtonian pressure distribution over surface using cosine angle formula is defined as the double of the square of cosine angle, where the angle is between the normal to the surface and the freestream and is represented as C_p = 2*(cos(Φ))^2 or Pressure Coefficient = 2*(cos(Newtonian angle))^2. Newtonian angle is the angle between the normal to the surface and the freestream.

How to calculate Newtonian Pressure Distribution over Surface using Cosine Angle?

Newtonian pressure distribution over surface using cosine angle formula is defined as the double of the square of cosine angle, where the angle is between the normal to the surface and the freestream is calculated using Pressure Coefficient = 2*(cos(Newtonian angle))^2. To calculate Newtonian Pressure Distribution over Surface using Cosine Angle, you need Newtonian angle (Φ). With our tool, you need to enter the respective value for Newtonian angle 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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