Maximum Pressure Coefficient Calculator

✖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 Density of Material is the mass per unit volume of a substance, influencing its behavior in fluid mechanics and hypersonic flow applications.ⓘ Density of Material [ρ]			+10% -10%
✖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.ⓘ Freestream Velocity [V_∞]			+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.ⓘ Maximum Pressure Coefficient [C_p,max]

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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 highest value of pressure difference across a surface in hypersonic flow, indicating the intensity of aerodynamic forces acting on the object.
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.
Density of Material - (Measured in Kilogram per Cubic Meter) - The Density of Material is the mass per unit volume of a substance, influencing its behavior in fluid mechanics and hypersonic flow applications.
Freestream Velocity - (Measured in Meter per Second) - 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.

STEP 1: Convert Input(s) to Base Unit

Total Pressure: 2350 Pascal --> 2350 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) --> (2350-800)/(0.5*0.11*98^2)

Evaluating ... ...

C_p,max = 2.9343834008557

STEP 3: Convert Result to Output's Unit

2.9343834008557 --> No Conversion Required

FINAL ANSWER

2.9343834008557 ≈ 2.934383 <-- Maximum Pressure Coefficient

(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has created this Calculator and 300+ more calculators!

Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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< Newtonian Flow Calculators

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

Maximum Pressure Coefficient Formula

LaTeX Go

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, 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 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 -> 225.6635 = (2350-800)/(0.5*0.11*98^2).

FAQ

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

How to calculate 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 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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