Maximum Pressure Coefficient Calculator

✖Total pressure is the sum of all the forces that the gas molecules exert on the walls of their container.ⓘ Total Pressure [P_T]			+10% -10%
✖Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure [P]			+10% -10%
✖Density of material is ratio of mass of material to its volume.ⓘ Density of Material [ρ]			+10% -10%
✖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.ⓘ Freestream Velocity [V_∞]			+10% -10%

✖The Maximum Pressure Coefficient is the maximum value of pressure coefficient.ⓘ Maximum Pressure Coefficient [C_p,max]

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Formula

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Maximum Pressure Coefficient

Formula

`"C"_{"p,max"} = ("P"_{"T"}-"P")/(0.5*"ρ"*"V"_{"∞"}^2)`

Example

`"225.6635"=("120000Pa"-"800Pa")/(0.5*"0.11kg/m³"*("98m/s")^2)`

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Maximum Pressure Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Pressure Coefficient = (Total Pressure-Pressure)/(0.5*Density of Material*Freestream Velocity^2)
C_p,max = (P_T-P)/(0.5*ρ*V_∞^2)
This formula uses 5 Variables

Variables Used

Maximum Pressure Coefficient - The Maximum Pressure Coefficient is the maximum value of pressure coefficient.
Total Pressure - (Measured in Pascal) - Total pressure is the sum of all the forces that the gas molecules exert on the walls of their container.
Pressure - (Measured in Pascal) - Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Density of Material - (Measured in Kilogram per Cubic Meter) - Density of material is ratio of mass of material to its volume.
Freestream Velocity - (Measured in Meter per Second) - 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.

STEP 1: Convert Input(s) to Base Unit

Total Pressure: 120000 Pascal --> 120000 Pascal No Conversion Required
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Density of Material: 0.11 Kilogram per Cubic Meter --> 0.11 Kilogram per Cubic Meter No Conversion Required
Freestream Velocity: 98 Meter per Second --> 98 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_p,max = (P_T-P)/(0.5*ρ*V_∞^2) --> (120000-800)/(0.5*0.11*98^2)

Evaluating ... ...

C_p,max = 225.66354927871

STEP 3: Convert Result to Output's Unit

225.66354927871 --> No Conversion Required

FINAL ANSWER

225.66354927871 ≈ 225.6635 <-- Maximum Pressure Coefficient

(Calculation completed in 00.020 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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< 14 Newtonian Flow Calculators

Time Rate of Change of Momentum of Mass Flux

Go Force = Density of Fluid*Fluid Velocity^2*Area*(sin(Angle of Inclination))^2

Mass Flux Incident on Surface Area

Go Mass Flux(g) = Density of Material*Velocity*Area*sin(Angle of Inclination)

Maximum Pressure Coefficient

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

Exact Normal Shock Wave Maximum Coefficient of Pressure

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

Pressure Coefficient for Slender 2D Bodies

Go Pressure Coefficient = 2*((Angle of Inclination)^2+Curvature of Surface*Distance of Point from Centroidal Axis)

Pressure Coefficient for Slender Bodies of Revolution

Go Pressure Coefficient = 2*(Angle of Inclination)^2+Curvature of Surface*Distance of Point from Centroidal Axis

Coefficient of Lift Equation with Angle of Attack

Go Lift Coefficient = 2*(sin(Angle of Attack))^2*cos(Angle of Attack)

Modified Newtonian Law

Go Pressure Coefficient = Maximum Pressure Coefficient*(sin(Angle of Inclination))^2

Coefficient of Lift Equation with Coefficient of Normal Force

Go Lift Coefficient = Coefficient of Force*cos(Angle of Attack)

Coefficient of Drag Equation with Coefficient of Normal Force

Go Drag Coefficient = Coefficient of Force*sin(Angle of Attack)

Force Exerted on Surface given Static Pressure

Go Force = Area*(Surface Pressure-Static Pressure)

Lift Force with Angle of Attack

Go Lift Force = Drag Force*cot(Angle of Attack)

Drag Force with Angle of Attack

Go Drag Force = Lift Force/cot(Angle of Attack)

Coefficient of Drag Equation with Angle of Attack

Go Drag Coefficient = 2*(sin(Angle of Attack))^3

Maximum Pressure Coefficient Formula

Maximum Pressure Coefficient = (Total Pressure-Pressure)/(0.5*Density of Material*Freestream Velocity^2)
C_p,max = (P_T-P)/(0.5*ρ*V_∞^2)

What is a pressure coefficient?

The pressure coefficient is a dimensionless number which describes the relative pressures throughout a flow field in fluid dynamics

How to Calculate Maximum Pressure Coefficient?

Maximum Pressure Coefficient calculator uses Maximum Pressure Coefficient = (Total Pressure-Pressure)/(0.5*Density of Material*Freestream Velocity^2) to calculate 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 calculate Maximum Pressure Coefficient using this online calculator? To use this online calculator for Maximum Pressure Coefficient, enter Total Pressure (P_T), Pressure (P), Density of Material (ρ) & Freestream Velocity (V_∞) and hit the calculate button. Here is how the Maximum Pressure Coefficient calculation can be explained with given input values -> -1.31574 = (120000-800)/(0.5*0.11*98^2).

FAQ

What is 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 and is represented as C_p,max = (P_T-P)/(0.5*ρ*V_∞^2) or Maximum Pressure Coefficient = (Total Pressure-Pressure)/(0.5*Density of Material*Freestream Velocity^2). Total pressure is the sum of all the forces that the gas molecules exert on the walls of their container, Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, Density of material is ratio of mass of material to its volume & 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.

How to calculate 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 is calculated using Maximum Pressure Coefficient = (Total Pressure-Pressure)/(0.5*Density of Material*Freestream Velocity^2). To calculate Maximum Pressure Coefficient, you need Total Pressure (P_T), Pressure (P), Density of Material (ρ) & Freestream Velocity (V_∞). With our tool, you need to enter the respective value for Total Pressure, Pressure, Density of Material & Freestream Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Maximum Pressure Coefficient?

In this formula, Maximum Pressure Coefficient uses Total Pressure, Pressure, Density of Material & Freestream Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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