Shikha Maurya
Indian Institute of Technology (IIT), Bombay
Shikha Maurya has created this Calculator and 100+ more calculators!
Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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4 Other formulas that you can solve using the same Inputs

Non dimensional pressure equation with slenderness ratio
Non-dimensionalized Pressure=Pressure/(Specific Heat Ratio*(Mach Number^2)*(Slenderness Ratio^2)*Free stream Pressure) GO
Surface pressure on the body in terms of Pressure coefficient
Surface pressure at a point=Free stream Pressure+(Free stream dynamic pressure*Pressure coefficient) GO
Stagnation pressure
Stagnation Pressure=(2*Dynamic Pressure*(cos(Newtonian angle ))^2)+Free stream Pressure GO
Dynamic pressure
Dynamic Pressure=0.5*(Stagnation Pressure-Free stream Pressure) GO

11 Other formulas that calculate the same Output

Coefficient of pressure with similarity parameters
Pressure coefficient=(2*(Flow Deflection angle)^2)*(((Specific Heat Ratio+1)/4)+sqrt((((Specific Heat Ratio+1)/4)^2)+(1/(Hypersonic similarity parameter)^2))) GO
Coefficient of pressure with slenderness ratio
Pressure coefficient=2*(Slenderness Ratio^2)*(Non-dimensionalized Pressure-(1/(Specific Heat Ratio*(Mach Number^2)*(Slenderness Ratio^2)))) GO
Pressure coefficient for slender bodies of revolution
Pressure coefficient=2*(Angle of Deflection^2)+(Curvature of the surface *Distance of Point from Centroidal Axis) GO
Pressure coefficient for slender 2-D bodies
Pressure coefficient=2*((deflection angle^2)+(Curvature of the surface *Distance of Point from Centroidal Axis)) GO
Exact relation for pressure coefficient behind an oblique shock wave
Pressure coefficient=(4/(Specific Heat Ratio+1))*(((sin(Wave angle))^2)-(1/Mach Number^2)) GO
Modified Newtonian Law
Pressure coefficient=The maximum pressure coefficient*(sin(deflection angle))^2 GO
Exact relation for pressure coefficient behind an oblique shock wave when Mach no. tends to infinite
Pressure coefficient=(4/(Specific Heat Ratio+1))*(sin(Wave angle))^2 GO
Supersonic expression for pressure coefficient on a surface with local deflection angle θ
Pressure coefficient=(2*deflection angle)/(sqrt(Mach Number^2-1)) GO
Non-dimensional pressure coefficient
Pressure coefficient=Change in static pressure/Dynamic Pressure GO
Newtonian sine-squared law for pressure coefficient
Pressure coefficient=2*(sin(deflection angle))^2 GO
Coefficient of pressure derived from oblique shock theory
Pressure coefficient=2*(sin(Wave angle))^2 GO

Pressure Coefficient Formula

Pressure coefficient=(Surface pressure at a point-Free stream Pressure)/(Free stream dynamic pressure)
C<sub>p</sub>=(P-p<sub>∞</sub>)/(P<sub>∞</sub>)
More formulas
Pressure at a downstream point on streamline by Bernoulli's equation GO
Pressure at an upstream point on streamline by Bernoulli's equation GO
Airspeed measurement by venturi GO
Test section velocity in low-speed wind tunnel GO
Pressure difference measured by manometer in the low-speed wind tunnel GO
Pressure difference in the low-speed wind tunnel for given test section velocity GO
Test section velocity for low sped wind tunnel in terms of height difference of manometric fluid GO
Height difference of manometric fluid for given pressure difference GO
Dynamic pressure in incompressible flow GO
Total pressure in incompressible flow GO
Static pressure in incompressible flow GO
Airspeed measurement by Pitot tube for low-speed incompressible flow GO
Pressure coefficient in terms of velocity ratio for inncompressible flow GO
Surface pressure on the body in terms of Pressure coefficient GO
Velocity potential for uniform incompressible flow GO
Velocity at a point on airfoil for given pressure coefficient and free-stream velocity GO
Stream function for uniform incompressible flow GO
Velocity potential for uniform incompressible flow in polar coordinates GO
Stream function for uniform incompressible flow in polar coordinates GO
Source Strength for 2-D incompressible source flow GO
Radial velocity for 2-D incompressible source flow GO
Velocity potential for 2-D source flow GO
Stream function for 2-D incompressible source flow GO
Stream function for semi-infinite body GO
Stagnation streamline equation for flow over semi-infinite body GO
Stream function for flow over Rankine oval GO
Stream function for 2-D Doublet flow GO
Velocity potential for 2-D doublet flow GO
Stream function for non-lifting flow over a circular cylinder GO
Tangential velocity for non-lifting flow over circular cylinder GO
Radial velocity for non-lifting flow over circular cylinder GO
Radius of cylinder for non-lifting flow GO
Surface pressure coefficient for non-lifting flow over circular cylinder GO
Stream function for 2-D Vortex flow GO
Velocity potential for 2-D Vortex flow GO
Tangential velocity for 2-D Vortex flow GO
Stream function for lifting flow over a circular cylinder GO
Radial velocity for lifting flow over circular cylinder GO
Tangential velocity for lifting flow over circular cylinder GO
Surface pressure coefficient for lifting flow over circular cylinder GO
Location of stagnation point outside the cylinder for lifting flow GO
2-D Lift coefficient for cylinder GO
Lift per unit span by Kutta-Joukowski theorem GO
Circulation by Kutta-Joukowski theorem GO
Freestream velocity by Kutta-Joukowski theorem GO
Freestream density by Kutta-Joukowski theorem GO

How does pressure coefficient varies in incompressible flow?

The pressure coefficient in incompressible flow is a function only of location on the surface of the body, body shape and orientation. The pressure coefficient will not change with free stream pressure and density as long as the flow is incompressible.

How to Calculate Pressure Coefficient ?

Pressure Coefficient calculator uses Pressure coefficient=(Surface pressure at a point-Free stream Pressure)/(Free stream dynamic pressure) to calculate the Pressure coefficient, Pressure Coefficient defines the value of local pressure at a point in terms of free stream pressure and dynamic pressure. Pressure coefficient and is denoted by Cp symbol.

How to calculate Pressure Coefficient using this online calculator? To use this online calculator for Pressure Coefficient , enter Surface pressure at a point (P), Free stream Pressure (p) and Free stream dynamic pressure (P) and hit the calculate button. Here is how the Pressure Coefficient calculation can be explained with given input values -> 11.53846 = (61660-10)/(5343).

FAQ

What is Pressure Coefficient ?
Pressure Coefficient defines the value of local pressure at a point in terms of free stream pressure and dynamic pressure and is represented as Cp=(P-p)/(P) or Pressure coefficient=(Surface pressure at a point-Free stream Pressure)/(Free stream dynamic pressure). Surface pressure at a point is the static pressuire at that point on the surface, Free stream Pressure is the pressure of fluid that hasn't encountered any disturbance and free stream dynamic pressure is the kinetic energy per unit volume of fluid at some distance from the body where the density and velocity are freestream values.
How to calculate Pressure Coefficient ?
Pressure Coefficient defines the value of local pressure at a point in terms of free stream pressure and dynamic pressure is calculated using Pressure coefficient=(Surface pressure at a point-Free stream Pressure)/(Free stream dynamic pressure). To calculate Pressure Coefficient , you need Surface pressure at a point (P), Free stream Pressure (p) and Free stream dynamic pressure (P). With our tool, you need to enter the respective value for Surface pressure at a point, Free stream Pressure and Free stream dynamic pressure and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Pressure coefficient?
In this formula, Pressure coefficient uses Surface pressure at a point, Free stream Pressure and Free stream dynamic pressure. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • Pressure coefficient=Change in static pressure/Dynamic Pressure
  • Pressure coefficient=(4/(Specific Heat Ratio+1))*(((sin(Wave angle))^2)-(1/Mach Number^2))
  • Pressure coefficient=(4/(Specific Heat Ratio+1))*(sin(Wave angle))^2
  • Pressure coefficient=(2*(Flow Deflection angle)^2)*(((Specific Heat Ratio+1)/4)+sqrt((((Specific Heat Ratio+1)/4)^2)+(1/(Hypersonic similarity parameter)^2)))
  • Pressure coefficient=2*(sin(deflection angle))^2
  • Pressure coefficient=(2*deflection angle)/(sqrt(Mach Number^2-1))
  • Pressure coefficient=The maximum pressure coefficient*(sin(deflection angle))^2
  • Pressure coefficient=2*((deflection angle^2)+(Curvature of the surface *Distance of Point from Centroidal Axis))
  • Pressure coefficient=2*(Angle of Deflection^2)+(Curvature of the surface *Distance of Point from Centroidal Axis)
  • Pressure coefficient=2*(sin(Wave angle))^2
  • Pressure coefficient=2*(Slenderness Ratio^2)*(Non-dimensionalized Pressure-(1/(Specific Heat Ratio*(Mach Number^2)*(Slenderness Ratio^2))))
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