Surface Pressure on Body using Pressure Coefficient Calculator

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Fundamentals of Inviscid and Incompressible Flow

Compressible Flow

Three-Dimensional Incompressible Flow

Two-Dimensional Incompressible Flow

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Aerodynamic Measurements and Wind Tunnel Testing

Bernoulli's Equation and Pressure Concepts

✖Freestream Pressure is the pressure of fluid that hasn't encountered any disturbance.ⓘ Freestream Pressure [p_∞]			+10% -10%
✖Freestream 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.ⓘ Freestream Dynamic Pressure [q_∞]			+10% -10%
✖Pressure Coefficient is a dimensionless parameter and it expresses the local pressure at a certain point on a surface relative to the freestream or ambient pressure.ⓘ Pressure Coefficient [C_p]			+10% -10%

✖Surface Pressure at Point is the static pressure at that point on the surface.ⓘ Surface Pressure on Body using Pressure Coefficient [P]

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Formula

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Surface Pressure on Body using Pressure Coefficient

Formula

`"P" = "p"_{"∞"}+"q"_{"∞"}*"C"_{"p"}`

Example

`"61646Pa"="29900Pa"+"39000Pa"*"0.814"`

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Download Fundamentals of Inviscid and Incompressible Flow Formulas PDF

Surface Pressure on Body using Pressure Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface Pressure at Point = Freestream Pressure+Freestream Dynamic Pressure*Pressure Coefficient
P = p_∞+q_∞*C_p
This formula uses 4 Variables

Variables Used

Surface Pressure at Point - (Measured in Pascal) - Surface Pressure at Point is the static pressure at that point on the surface.
Freestream Pressure - (Measured in Pascal) - Freestream Pressure is the pressure of fluid that hasn't encountered any disturbance.
Freestream Dynamic Pressure - (Measured in Pascal) - Freestream 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.
Pressure Coefficient - Pressure Coefficient is a dimensionless parameter and it expresses the local pressure at a certain point on a surface relative to the freestream or ambient pressure.

STEP 1: Convert Input(s) to Base Unit

Freestream Pressure: 29900 Pascal --> 29900 Pascal No Conversion Required
Freestream Dynamic Pressure: 39000 Pascal --> 39000 Pascal No Conversion Required
Pressure Coefficient: 0.814 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = p_∞+q_∞*C_p --> 29900+39000*0.814

Evaluating ... ...

P = 61646

STEP 3: Convert Result to Output's Unit

61646 Pascal --> No Conversion Required

FINAL ANSWER

61646 Pascal <-- Surface Pressure at Point

(Calculation completed in 00.004 seconds)

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Credits

Created by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

Shikha Maurya has created this Calculator and 100+ more calculators!

Verified by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

Vinay Mishra has verified this Calculator and 100+ more calculators!

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Surface Pressure on Body using Pressure Coefficient Formula

Surface Pressure at Point = Freestream Pressure+Freestream Dynamic Pressure*Pressure Coefficient
P = p_∞+q_∞*C_p

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 Surface Pressure on Body using Pressure Coefficient?

Surface Pressure on Body using Pressure Coefficient calculator uses Surface Pressure at Point = Freestream Pressure+Freestream Dynamic Pressure*Pressure Coefficient to calculate the Surface Pressure at Point, Surface pressure on body using Pressure coefficient is obtained as the sum of free stream pressure plus pressure coefficient times the free stream dynamic pressure. Surface Pressure at Point is denoted by P symbol.

How to calculate Surface Pressure on Body using Pressure Coefficient using this online calculator? To use this online calculator for Surface Pressure on Body using Pressure Coefficient, enter Freestream Pressure (p_∞), Freestream Dynamic Pressure (q_∞) & Pressure Coefficient (C_p) and hit the calculate button. Here is how the Surface Pressure on Body using Pressure Coefficient calculation can be explained with given input values -> 61100 = 29900+39000*0.814.

FAQ

What is Surface Pressure on Body using Pressure Coefficient?

Surface pressure on body using Pressure coefficient is obtained as the sum of free stream pressure plus pressure coefficient times the free stream dynamic pressure and is represented as P = p_∞+q_∞*C_p or Surface Pressure at Point = Freestream Pressure+Freestream Dynamic Pressure*Pressure Coefficient. Freestream Pressure is the pressure of fluid that hasn't encountered any disturbance, Freestream 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 & Pressure Coefficient is a dimensionless parameter and it expresses the local pressure at a certain point on a surface relative to the freestream or ambient pressure.

How to calculate Surface Pressure on Body using Pressure Coefficient?

Surface pressure on body using Pressure coefficient is obtained as the sum of free stream pressure plus pressure coefficient times the free stream dynamic pressure is calculated using Surface Pressure at Point = Freestream Pressure+Freestream Dynamic Pressure*Pressure Coefficient. To calculate Surface Pressure on Body using Pressure Coefficient, you need Freestream Pressure (p_∞), Freestream Dynamic Pressure (q_∞) & Pressure Coefficient (C_p). With our tool, you need to enter the respective value for Freestream Pressure, Freestream Dynamic Pressure & Pressure Coefficient 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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