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Maximum Pressure Coefficient Formula

GoExact Normal Shock Wave Maximum Coefficient of Pressure 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{P T - P}{0.5 \cdot ρ \cdot {V ∞}^{2}}

C_p,max - Maximum Pressure Coefficient?P_T - Total Pressure?P - Pressure?ρ - Density of Material?V_∞ - Freestream Velocity?

Maximum Pressure Coefficient Example

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Here is how the Maximum Pressure Coefficient equation looks like with Values.

Here is how the Maximum Pressure Coefficient equation looks like with Units.

Here is how the Maximum Pressure Coefficient equation looks like.

2.9344 = \frac{2350 - 800}{0.5 \cdot 0.11 \cdot 98^{2}}

2.9344 = \frac{2350Pa - 800Pa}{0.5 \cdot 0.11kg/m³ \cdot {98m/s}^{2}}

2.9344 = \frac{2350 - 800}{0.5 \cdot 0.11 \cdot 98^{2}}

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Maximum Pressure Coefficient Solution

Follow our step by step solution on how to calculate Maximum Pressure Coefficient?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C p,max = \frac{2350Pa - 800Pa}{0.5 \cdot 0.11kg/m³ \cdot {98m/s}^{2}}

Next Step Prepare to Evaluate

∴

C p,max = \frac{2350 - 800}{0.5 \cdot 0.11 \cdot 98^{2}}

Next Step Evaluate

∴

C p,max = 2.9343834008557

LAST Step Rounding Answer

∴

C p,max = 2.9344

Maximum Pressure Coefficient 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

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

Density of Material

The Density of Material is the mass per unit volume of a substance, influencing its behavior in fluid mechanics and hypersonic flow applications.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Material

Freestream Velocity

The Freestream Velocity is the speed of fluid flow far away from any disturbances, serving as a reference for analyzing flow behavior in hypersonic and Newtonian conditions.

Symbol: V_∞

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Freestream Velocity

Other Formulas to find Maximum Pressure Coefficient

Go Exact Normal Shock Wave Maximum Coefficient of Pressure

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

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 Maximum Pressure Coefficient?

Maximum Pressure Coefficient evaluator uses Maximum Pressure Coefficient = (Total Pressure-Pressure)/(0.5*Density of Material*Freestream Velocity^2) to evaluate the Maximum Pressure Coefficient, Maximum Pressure Coefficient formula is defined as a measure of the pressure difference between the total pressure and static pressure in a fluid flow, normalized by the dynamic pressure, indicating the flow's behavior in hypersonic conditions. Maximum Pressure Coefficient is denoted by C_p,max symbol.

How to evaluate Maximum Pressure Coefficient using this online evaluator? To use this online evaluator for Maximum Pressure Coefficient, enter Total Pressure (P_T), Pressure (P), Density of Material (ρ) & Freestream Velocity (V_∞) and hit the calculate button.

FAQs on Maximum Pressure Coefficient

What is the formula to find Maximum Pressure Coefficient?

The formula of Maximum Pressure Coefficient is expressed as Maximum Pressure Coefficient = (Total Pressure-Pressure)/(0.5*Density of Material*Freestream Velocity^2). Here is an example- 225.6635 = (2350-800)/(0.5*0.11*98^2).

How to calculate Maximum Pressure Coefficient?

With Total Pressure (P_T), Pressure (P), Density of Material (ρ) & Freestream Velocity (V_∞) we can find Maximum Pressure Coefficient using the formula - Maximum Pressure Coefficient = (Total Pressure-Pressure)/(0.5*Density of Material*Freestream Velocity^2).

What are the other ways to Calculate Maximum Pressure Coefficient?

Here are the different ways to Calculate Maximum Pressure Coefficient-

Maximum Pressure Coefficient=2/(Specific Heat Ratio*Mach Number^2)*(Total Pressure/Pressure-1)

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Maximum Pressure Coefficient Formula

​GoExact Normal Shock Wave Maximum Coefficient of Pressure Formula

Maximum Pressure Coefficient Example

Maximum Pressure Coefficient Solution

Maximum Pressure Coefficient Formula Elements

Other Formulas to find Maximum Pressure Coefficient

Other formulas in Newtonian Flow category

How to Evaluate Maximum Pressure Coefficient?

FAQs on Maximum Pressure Coefficient

Variable Name

GoExact Normal Shock Wave Maximum Coefficient of Pressure Formula