Non-Dimensional Pressure Coefficient Calculator

✖The Change in Static Pressure is the difference in pressure experienced by a fluid as it flows through a system, influencing its behavior and performance in various applications.ⓘ Change in Static Pressure [Δp]			+10% -10%
✖The Dynamic Pressure is the pressure associated with the motion of a fluid, representing the kinetic energy per unit volume of the fluid flow.ⓘ Dynamic Pressure [P_dynamic]			+10% -10%

✖The Pressure Coefficient is a dimensionless number that represents the relative pressure difference across a surface in fluid flow, indicating how pressure varies in different flow conditions.ⓘ Non-Dimensional Pressure Coefficient [C_p]

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Non-Dimensional Pressure Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Coefficient = Change in Static Pressure/Dynamic Pressure
C_p = Δp/P_dynamic
This formula uses 3 Variables

Variables Used

Pressure Coefficient - The Pressure Coefficient is a dimensionless number that represents the relative pressure difference across a surface in fluid flow, indicating how pressure varies in different flow conditions.
Change in Static Pressure - (Measured in Pascal) - The Change in Static Pressure is the difference in pressure experienced by a fluid as it flows through a system, influencing its behavior and performance in various applications.
Dynamic Pressure - (Measured in Pascal) - The Dynamic Pressure is the pressure associated with the motion of a fluid, representing the kinetic energy per unit volume of the fluid flow.

STEP 1: Convert Input(s) to Base Unit

Change in Static Pressure: 5000 Pascal --> 5000 Pascal No Conversion Required
Dynamic Pressure: 11142.06 Pascal --> 11142.06 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_p = Δp/P_dynamic --> 5000/11142.06

Evaluating ... ...

C_p = 0.448750051606256

STEP 3: Convert Result to Output's Unit

0.448750051606256 --> No Conversion Required

FINAL ANSWER

0.448750051606256 ≈ 0.44875 <-- Pressure Coefficient

(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 Rushi Shah

K J Somaiya College of Engineering (K J Somaiya), Mumbai

Rushi Shah has verified this Calculator and 200+ more calculators!

< Oblique Shock Relation Calculators

Parallel Upstream Flow Components after Shock as Mach Tends to Infinite

LaTeX Go Parallel Upstream Flow Components = Velocity of the fluid at 1*(1-(2*(sin(Wave Angle))^2)/(Specific Heat Ratio-1))

Perpendicular Upstream Flow Components behind Shock Wave

LaTeX Go Perpendicular upstream flow components = (Velocity of the fluid at 1*sin(2*Wave Angle))/(Specific Heat Ratio-1)

Wave Angle for Small Deflection Angle

LaTeX Go Wave Angle = (Specific Heat Ratio+1)/2*(Deflection Angle*180/pi)*pi/180

Coefficient of Pressure Derived from Oblique Shock Theory

LaTeX Go Pressure Coefficient = 2*(sin(Wave Angle))^2

Non-Dimensional Pressure Coefficient Formula

LaTeX Go

Pressure Coefficient = Change in Static Pressure/Dynamic Pressure
C_p = Δp/P_dynamic

What is the pressure coefficient of oblique shock?

The pressure coefficient is a dimensionless number which describes the relative pressures throughout a flow field in fluid dynamics. The pressure coefficient is used in aerodynamics and hydrodynamics.

How to Calculate Non-Dimensional Pressure Coefficient?

Non-Dimensional Pressure Coefficient calculator uses Pressure Coefficient = Change in Static Pressure/Dynamic Pressure to calculate the Pressure Coefficient, Non-Dimensional Pressure Coefficient formula is defined as a dimensionless quantity that characterizes the pressure ratio across an oblique shock wave, providing a crucial parameter in understanding the behavior of compressible flows and shock waves in various engineering applications. Pressure Coefficient is denoted by C_p symbol.

How to calculate Non-Dimensional Pressure Coefficient using this online calculator? To use this online calculator for Non-Dimensional Pressure Coefficient, enter Change in Static Pressure (Δp) & Dynamic Pressure (P_dynamic) and hit the calculate button. Here is how the Non-Dimensional Pressure Coefficient calculation can be explained with given input values -> 0.44875 = 5000/11142.06.

FAQ

What is Non-Dimensional Pressure Coefficient?

Non-Dimensional Pressure Coefficient formula is defined as a dimensionless quantity that characterizes the pressure ratio across an oblique shock wave, providing a crucial parameter in understanding the behavior of compressible flows and shock waves in various engineering applications and is represented as C_p = Δp/P_dynamic or Pressure Coefficient = Change in Static Pressure/Dynamic Pressure. The Change in Static Pressure is the difference in pressure experienced by a fluid as it flows through a system, influencing its behavior and performance in various applications & The Dynamic Pressure is the pressure associated with the motion of a fluid, representing the kinetic energy per unit volume of the fluid flow.

How to calculate Non-Dimensional Pressure Coefficient?

Non-Dimensional Pressure Coefficient formula is defined as a dimensionless quantity that characterizes the pressure ratio across an oblique shock wave, providing a crucial parameter in understanding the behavior of compressible flows and shock waves in various engineering applications is calculated using Pressure Coefficient = Change in Static Pressure/Dynamic Pressure. To calculate Non-Dimensional Pressure Coefficient, you need Change in Static Pressure (Δp) & Dynamic Pressure (P_dynamic). With our tool, you need to enter the respective value for Change in Static Pressure & 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 Change in Static Pressure & Dynamic Pressure. We can use 3 other way(s) to calculate the same, which is/are as follows -

Pressure Coefficient = 2*(sin(Wave Angle))^2
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

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