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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 maximum value of pressure coefficient. 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.

225.6635 = \frac{120000 - 800}{0.5 \cdot 0.11 \cdot 98^{2}}

225.6635 = \frac{120000Pa - 800Pa}{0.5 \cdot 0.11kg/m³ \cdot {98m/s}^{2}}

225.6635 = \frac{120000 - 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{120000Pa - 800Pa}{0.5 \cdot 0.11kg/m³ \cdot {98m/s}^{2}}

Next Step Prepare to Evaluate

∴

C p,max = \frac{120000 - 800}{0.5 \cdot 0.11 \cdot 98^{2}}

Next Step Evaluate

∴

C p,max = 225.66354927871

LAST Step Rounding Answer

∴

C p,max = 225.6635

Maximum Pressure Coefficient Formula Elements

Variables

Maximum Pressure Coefficient

The Maximum Pressure Coefficient is the maximum value of pressure coefficient.

Symbol: C_p,max

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Maximum Pressure Coefficient

Total Pressure

Total Pressure is the sum of all the forces that the gas molecules exert on the walls of their container.

Symbol: P_T

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Total Pressure

Pressure

Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

Symbol: P

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure

Density of Material

Density of material is ratio of mass of material to its volume.

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 velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air.

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 curvature \cdot y)

Go Pressure Coefficient for Slender Bodies of Revolution

C p = 2 \cdot {(θ)}^{2} + k curvature \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, The Maximum Pressure coefficient formula is defined as the ratio of total pressure behind a normal shock wave minus free stream pressure to the half of product of free stream density and square of velocity of fluid. 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 = (120000-800)/(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