Exact Normal Shock Wave Maximum Coefficient of Pressure Calculator

✖The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume.ⓘ Specific Heat Ratio [Y]			+10% -10%
✖Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.ⓘ Mach Number [M]			+10% -10%
✖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%

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

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Formula

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Exact Normal Shock Wave Maximum Coefficient of Pressure

Formula

`"C"_{"p,max"} = 2/("Y"*"M"^2)*("P"_{"T"}/"P"-1)`

Example

`"2.910156"=2/("1.6"*("8")^2)*("120000Pa"/"800Pa"-1)`

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Exact Normal Shock Wave Maximum Coefficient of Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Pressure Coefficient = 2/(Specific Heat Ratio*Mach Number^2)*(Total Pressure/Pressure-1)
C_p,max = 2/(Y*M^2)*(P_T/P-1)
This formula uses 5 Variables

Variables Used

Maximum Pressure Coefficient - The Maximum Pressure Coefficient is the maximum value of pressure coefficient.
Specific Heat Ratio - The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume.
Mach Number - Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.
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.

STEP 1: Convert Input(s) to Base Unit

Specific Heat Ratio: 1.6 --> No Conversion Required
Mach Number: 8 --> No Conversion Required
Total Pressure: 120000 Pascal --> 120000 Pascal No Conversion Required
Pressure: 800 Pascal --> 800 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_p,max = 2/(Y*M^2)*(P_T/P-1) --> 2/(1.6*8^2)*(120000/800-1)

Evaluating ... ...

C_p,max = 2.91015625

STEP 3: Convert Result to Output's Unit

2.91015625 --> No Conversion Required

FINAL ANSWER

2.91015625 ≈ 2.910156 <-- Maximum Pressure Coefficient

(Calculation completed in 00.004 seconds)

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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

Exact Normal Shock Wave Maximum Coefficient of Pressure Formula

Maximum Pressure Coefficient = 2/(Specific Heat Ratio*Mach Number^2)*(Total Pressure/Pressure-1)
C_p,max = 2/(Y*M^2)*(P_T/P-1)

What is pressure coefficient?

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

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

Exact Normal Shock Wave Maximum Coefficient of Pressure calculator uses Maximum Pressure Coefficient = 2/(Specific Heat Ratio*Mach Number^2)*(Total Pressure/Pressure-1) to calculate the Maximum Pressure Coefficient, The exact normal shock wave maximum coefficient of pressure formula is defined as the interrelation between the specific heat ratio, Mach number, and pressure ratio of the free stream. Maximum Pressure Coefficient is denoted by C_p,max symbol.

How to calculate Exact Normal Shock Wave Maximum Coefficient of Pressure using this online calculator? To use this online calculator 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. Here is how the Exact Normal Shock Wave Maximum Coefficient of Pressure calculation can be explained with given input values -> -0.016968 = 2/(1.6*8^2)*(120000/800-1).

FAQ

What is Exact Normal Shock Wave Maximum Coefficient of Pressure?

The exact normal shock wave maximum coefficient of pressure formula is defined as the interrelation between the specific heat ratio, Mach number, and pressure ratio of the free stream and is represented as C_p,max = 2/(Y*M^2)*(P_T/P-1) or Maximum Pressure Coefficient = 2/(Specific Heat Ratio*Mach Number^2)*(Total Pressure/Pressure-1). The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume, Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound, 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.

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

The exact normal shock wave maximum coefficient of pressure formula is defined as the interrelation between the specific heat ratio, Mach number, and pressure ratio of the free stream is calculated using Maximum Pressure Coefficient = 2/(Specific Heat Ratio*Mach Number^2)*(Total Pressure/Pressure-1). To calculate Exact Normal Shock Wave Maximum Coefficient of Pressure, you need Specific Heat Ratio (Y), Mach Number (M), Total Pressure (P_T) & Pressure (P). With our tool, you need to enter the respective value for Specific Heat Ratio, Mach Number, Total Pressure & Pressure 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 Specific Heat Ratio, Mach Number, Total Pressure & Pressure. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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