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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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Pressure coefficient defines the value of local pressure at a point in terms of free stream pressure and dynamic pressure. 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.

0.5814 = \frac{5}{8.6}

0.5814 = \frac{5Pa}{8.6Pa}

0.5814 = \frac{5}{8.6}

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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{5Pa}{8.6Pa}

Next Step Prepare to Evaluate

∴

C p = \frac{5}{8.6}

Next Step Evaluate

∴

C p = 0.581395348837209

LAST Step Rounding Answer

∴

C p = 0.5814

Non-Dimensional Pressure Coefficient Formula Elements

Variables

Pressure Coefficient

Pressure coefficient defines the value of local pressure at a point in terms of free stream pressure and dynamic pressure.

Symbol: C_p

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Pressure Coefficient

Change in Static Pressure

Change in static pressure is the static pressure change occurring in hypersonic flow after shock occurs.

Symbol: Δp

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Change in Static Pressure

Dynamic Pressure

Dynamic Pressure is simply a convenient name for the quantity which represents the decrease in the pressure due to the velocity of the fluid.

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- 0.581395 = 5/8.6.

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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