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Non-Dimensional Pressure Coefficient Formula

GoCoefficient of Pressure Derived from Oblique Shock Theory Formula

GoPressure Coefficient behind Oblique Shock Wave Formula

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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. Check FAQs

C p = \frac{Δp}{P dynamic}

C_p - Pressure Coefficient?Δp - Change in Static Pressure?P_dynamic - Dynamic Pressure?

Non-Dimensional Pressure Coefficient Example

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Here is how the Non-Dimensional Pressure Coefficient equation looks like with Values.

Here is how the Non-Dimensional Pressure Coefficient equation looks like with Units.

Here is how the Non-Dimensional Pressure Coefficient equation looks like.

0.4488 = \frac{5000}{11142.06}

0.4488 = \frac{5000Pa}{11142.06Pa}

0.4488 = \frac{5000}{11142.06}

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Non-Dimensional Pressure Coefficient Solution

Follow our step by step solution on how to calculate Non-Dimensional Pressure Coefficient?

FIRST Step Consider the formula

C p = \frac{Δp}{P dynamic}

Next Step Substitute values of Variables

∴

C p = \frac{5000Pa}{11142.06Pa}

Next Step Prepare to Evaluate

∴

C p = \frac{5000}{11142.06}

Next Step Evaluate

∴

C p = 0.448750051606256

LAST Step Rounding Answer

∴

C p = 0.4488

Non-Dimensional Pressure Coefficient Formula Elements

Variables

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.

Symbol: C_p

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Pressure Coefficient

Change in Static 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.

Symbol: Δp

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Change in Static Pressure

Dynamic Pressure

The Dynamic Pressure is the pressure associated with the motion of a fluid, representing the kinetic energy per unit volume of the fluid flow.

Symbol: P_dynamic

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Dynamic Pressure

Other Formulas to find Pressure Coefficient

Go Coefficient of Pressure Derived from Oblique Shock Theory

C p = 2 \cdot {(\sin (β))}^{2}

Go Pressure Coefficient behind Oblique Shock Wave

C p = \frac{4}{Y + 1} \cdot ({(\sin (β))}^{2} - \frac{1}{M^{2}})

Go Pressure Coefficient behind Oblique Shock Wave for Infinite Mach Number

C p = \frac{4}{Y + 1} \cdot {(\sin (β))}^{2}

Other formulas in Oblique Shock Relation category

Go Wave Angle for Small Deflection Angle

β = \frac{Y + 1}{2} \cdot (θ d \cdot \frac{180}{π}) \cdot \frac{π}{180}

Go Parallel Upstream Flow Components after Shock as Mach Tends to Infinite

u2 = V 1 \cdot (1 - \frac{2 \cdot {(\sin (β))}^{2}}{Y - 1})

Go Perpendicular Upstream Flow Components behind Shock Wave

v2 = \frac{V 1 \cdot (\sin (2 \cdot β))}{Y - 1}

Go Exact Pressure Ratio

r p = 1 + 2 \cdot \frac{Y}{Y + 1} \cdot ({(M \cdot \sin (β))}^{2} - 1)

How to Evaluate Non-Dimensional Pressure Coefficient?

Non-Dimensional Pressure Coefficient evaluator uses Pressure Coefficient = Change in Static Pressure/Dynamic Pressure to evaluate 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 evaluate Non-Dimensional Pressure Coefficient using this online evaluator? To use this online evaluator for Non-Dimensional Pressure Coefficient, enter Change in Static Pressure (Δp) & Dynamic Pressure (P_dynamic) and hit the calculate button.

FAQs on Non-Dimensional Pressure Coefficient

What is the formula to find Non-Dimensional Pressure Coefficient?

The formula of Non-Dimensional Pressure Coefficient is expressed as Pressure Coefficient = Change in Static Pressure/Dynamic Pressure. Here is an example- 0.44875 = 5000/11142.06.

How to calculate Non-Dimensional Pressure Coefficient?

With Change in Static Pressure (Δp) & Dynamic Pressure (P_dynamic) we can find Non-Dimensional Pressure Coefficient using the formula - Pressure Coefficient = Change in Static Pressure/Dynamic Pressure.

What are the other ways to Calculate Pressure Coefficient?

Here are the different ways to Calculate Pressure Coefficient-

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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