Exact Normal Shock Wave Maximum Coefficient of Pressure Calculator

✖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.ⓘ Specific Heat Ratio [Y]			+10% -10%
✖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.ⓘ Mach Number [M]			+10% -10%
✖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.ⓘ Total Pressure [P_T]			+10% -10%
✖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.ⓘ Pressure [P]			+10% -10%

✖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.ⓘ Exact Normal Shock Wave Maximum Coefficient of Pressure [C_p,max]

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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 highest value of pressure difference across a surface in hypersonic flow, indicating the intensity of aerodynamic forces acting on the object.
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.
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.
Total Pressure - (Measured in Pascal) - 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.
Pressure - (Measured in Pascal) - 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.

STEP 1: Convert Input(s) to Base Unit

Specific Heat Ratio: 1.6 --> No Conversion Required
Mach Number: 0.9 --> No Conversion Required
Total Pressure: 2350 Pascal --> 2350 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*0.9^2)*(2350/800-1)

Evaluating ... ...

C_p,max = 2.98996913580247

STEP 3: Convert Result to Output's Unit

2.98996913580247 --> No Conversion Required

FINAL ANSWER

2.98996913580247 ≈ 2.989969 <-- Maximum Pressure Coefficient

(Calculation completed in 00.020 seconds)

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Amrita School of Engineering (ASE), Vallikavu

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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 Bodies of Revolution

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

Pressure Coefficient for Slender 2D Bodies

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

Modified Newtonian Law

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

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, 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 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 -> 0.037842 = 2/(1.6*0.9^2)*(2350/800-1).

FAQ

What is Exact Normal Shock Wave Maximum Coefficient of Pressure?

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

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

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 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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