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Exact Normal Shock Wave Maximum Coefficient of Pressure Formula

GoMaximum Pressure Coefficient Formula

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The Maximum Pressure Coefficient is the highest value of pressure difference across a surface in hypersonic flow, indicating the intensity of aerodynamic forces acting on the object. Check FAQs

C p,max = \frac{2}{Y \cdot M^{2}} \cdot (\frac{P T}{P} - 1)

C_p,max - Maximum Pressure Coefficient?Y - Specific Heat Ratio?M - Mach Number?P_T - Total Pressure?P - Pressure?

Exact Normal Shock Wave Maximum Coefficient of Pressure Example

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Here is how the Exact Normal Shock Wave Maximum Coefficient of Pressure equation looks like with Values.

Here is how the Exact Normal Shock Wave Maximum Coefficient of Pressure equation looks like with Units.

Here is how the Exact Normal Shock Wave Maximum Coefficient of Pressure equation looks like.

2.99 = \frac{2}{1.6 \cdot {0.9}^{2}} \cdot (\frac{2350}{800} - 1)

2.99 = \frac{2}{1.6 \cdot {0.9}^{2}} \cdot (\frac{2350Pa}{800Pa} - 1)

2.99 = \frac{2}{1.6 \cdot {0.9}^{2}} \cdot (\frac{2350}{800} - 1)

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Exact Normal Shock Wave Maximum Coefficient of Pressure Solution

Follow our step by step solution on how to calculate Exact Normal Shock Wave Maximum Coefficient of Pressure?

FIRST Step Consider the formula

C p,max = \frac{2}{Y \cdot M^{2}} \cdot (\frac{P T}{P} - 1)

Next Step Substitute values of Variables

∴

C p,max = \frac{2}{1.6 \cdot {0.9}^{2}} \cdot (\frac{2350Pa}{800Pa} - 1)

Next Step Prepare to Evaluate

∴

C p,max = \frac{2}{1.6 \cdot {0.9}^{2}} \cdot (\frac{2350}{800} - 1)

Next Step Evaluate

∴

C p,max = 2.98996913580247

LAST Step Rounding Answer

∴

C p,max = 2.99

Exact Normal Shock Wave Maximum Coefficient of Pressure Formula Elements

Variables

Maximum Pressure Coefficient

The Maximum Pressure Coefficient is the highest value of pressure difference across a surface in hypersonic flow, indicating the intensity of aerodynamic forces acting on the object.

Symbol: C_p,max

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Maximum Pressure Coefficient

Specific Heat Ratio

The Specific Heat Ratio is the ratio of the specific heat capacity of a substance at constant pressure to that at constant volume, influencing thermodynamic processes.

Symbol: Y

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Specific Heat Ratio

Mach Number

The Mach Number is a dimensionless quantity representing the ratio of the speed of an object to the speed of sound in the surrounding medium.

Symbol: M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mach Number

Total Pressure

The Total Pressure is the sum of static and dynamic pressures in a fluid flow, representing the total energy per unit volume available in the flow system.

Symbol: P_T

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Total Pressure

Pressure

The Pressure is the force exerted by a fluid per unit area, influencing the behavior and flow characteristics in various mechanical and fluid dynamics applications.

Symbol: P

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure

Other Formulas to find Maximum Pressure Coefficient

Go Maximum Pressure Coefficient

C p,max = \frac{P T - P}{0.5 \cdot ρ \cdot {V ∞}^{2}}

Other formulas in Newtonian Flow category

Go Pressure Coefficient for Slender 2D Bodies

C p = 2 \cdot (θ^{2} + k c \cdot y)

Go Pressure Coefficient for Slender Bodies of Revolution

C p = 2 \cdot {(θ)}^{2} + k c \cdot y

Go Modified Newtonian Law

C p = C p,max \cdot {(\sin (θ))}^{2}

Go Coefficient of Lift Equation with Angle of Attack

C L = 2 \cdot {(\sin (α))}^{2} \cdot \cos (α)

How to Evaluate Exact Normal Shock Wave Maximum Coefficient of Pressure?

Exact Normal Shock Wave Maximum Coefficient of Pressure evaluator uses Maximum Pressure Coefficient = 2/(Specific Heat Ratio*Mach Number^2)*(Total Pressure/Pressure-1) to evaluate the Maximum Pressure Coefficient, Exact Normal Shock Wave Maximum Coefficient of Pressure formula is defined as a measure of the maximum pressure change across a normal shock wave in hypersonic flow, reflecting the relationship between pressure, temperature, and Mach number in fluid dynamics. Maximum Pressure Coefficient is denoted by C_p,max symbol.

How to evaluate Exact Normal Shock Wave Maximum Coefficient of Pressure using this online evaluator? To use this online evaluator for Exact Normal Shock Wave Maximum Coefficient of Pressure, enter Specific Heat Ratio (Y), Mach Number (M), Total Pressure (P_T) & Pressure (P) and hit the calculate button.

FAQs on Exact Normal Shock Wave Maximum Coefficient of Pressure

What is the formula to find Exact Normal Shock Wave Maximum Coefficient of Pressure?

The formula of Exact Normal Shock Wave Maximum Coefficient of Pressure is expressed as Maximum Pressure Coefficient = 2/(Specific Heat Ratio*Mach Number^2)*(Total Pressure/Pressure-1). Here is an example- 0.037842 = 2/(1.6*0.9^2)*(2350/800-1).

How to calculate Exact Normal Shock Wave Maximum Coefficient of Pressure?

With Specific Heat Ratio (Y), Mach Number (M), Total Pressure (P_T) & Pressure (P) we can find Exact Normal Shock Wave Maximum Coefficient of Pressure using the formula - Maximum Pressure Coefficient = 2/(Specific Heat Ratio*Mach Number^2)*(Total Pressure/Pressure-1).

What are the other ways to Calculate Maximum Pressure Coefficient?

Here are the different ways to Calculate Maximum Pressure Coefficient-

Maximum Pressure Coefficient=(Total Pressure-Pressure)/(0.5*Density of Material*Freestream Velocity^2)

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Exact Normal Shock Wave Maximum Coefficient of Pressure Formula

​GoMaximum Pressure Coefficient Formula

Exact Normal Shock Wave Maximum Coefficient of Pressure Example

Exact Normal Shock Wave Maximum Coefficient of Pressure Solution

Exact Normal Shock Wave Maximum Coefficient of Pressure Formula Elements

Other Formulas to find Maximum Pressure Coefficient

Other formulas in Newtonian Flow category

How to Evaluate Exact Normal Shock Wave Maximum Coefficient of Pressure?

FAQs on Exact Normal Shock Wave Maximum Coefficient of Pressure

Variable Name

GoMaximum Pressure Coefficient Formula