Pressure Equation using Enthalpy and Density Calculator

✖Enthalpy is the thermodynamic quantity equivalent to the total heat content of a system.ⓘ Enthalpy [H]			+10% -10%
✖The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.ⓘ Density [ρ]			+10% -10%
✖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%

✖Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure Equation using Enthalpy and Density [P]

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Formula

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Pressure Equation using Enthalpy and Density

Formula

`"P" = "H"*"ρ"*("Y"-1)/"Y"`

Example

`"564551.2Pa"="1.51KJ"*"997kg/m³"*("1.6"-1)/"1.6"`

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Pressure Equation using Enthalpy and Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure = Enthalpy*Density*(Specific Heat Ratio-1)/Specific Heat Ratio
P = H*ρ*(Y-1)/Y
This formula uses 4 Variables

Variables Used

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.
Enthalpy - (Measured in Joule) - Enthalpy is the thermodynamic quantity equivalent to the total heat content of a system.
Density - (Measured in Kilogram per Cubic Meter) - The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
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.

STEP 1: Convert Input(s) to Base Unit

Enthalpy: 1.51 Kilojoule --> 1510 Joule (Check conversion here)
Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Specific Heat Ratio: 1.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = H*ρ*(Y-1)/Y --> 1510*997*(1.6-1)/1.6

Evaluating ... ...

P = 564551.25

STEP 3: Convert Result to Output's Unit

564551.25 Pascal --> No Conversion Required

FINAL ANSWER

564551.25 ≈ 564551.2 Pascal <-- Pressure

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Space-Marching Finite Difference Method: Additional Solutions of the Euler Equations » Pressure Equation using Enthalpy and Density

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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< 11 Space-Marching Finite Difference Method: Additional Solutions of the Euler Equations Calculators

Total Enthalpy Equation using Specific Heat Ratio and Velocities

Go Total Specific Enthalpy = Specific Heat Ratio/(Specific Heat Ratio-1)*Pressure/Density+(Component of Velocity in X-Direction^2+Component of Velocity in Y-Direction^2)/2

Enthalpy Equation using Specific Heat Ratio

Go Enthalpy = Specific Heat Ratio*[R]*Temperature/(Specific Heat Ratio-1)

Density Equation using Enthalpy and Pressure

Go Density = Specific Heat Ratio/(Specific Heat Ratio-1)*Pressure/Enthalpy

Pressure Equation using Enthalpy and Density

Go Pressure = Enthalpy*Density*(Specific Heat Ratio-1)/Specific Heat Ratio

Enthalpy Equation using Pressure and Density

Go Enthalpy = Specific Heat Ratio/(Specific Heat Ratio-1)*Pressure/Density

Coefficient of Pressure Equation using Specific Heat Ratio

Go Pressure Coefficient = (Specific Heat Ratio*Universal Gas Constant)/(Specific Heat Ratio-1)

Curvilinear Grid Location Equation

Go Grid Points = (Distance from Y-Axis-Local Ordinate of Body)/Local Shock-layer Thickness

Local Shock-Layer Thickness

Go Local Shock-layer Thickness = Local ordinate of the shock-Local Ordinate of Body

Free Stream Enthalpy

Go Freestream Specific Enthalpy = Total Specific Enthalpy-(Freestream Velocity^2)/2

Total Specific Enthalpy

Go Total Specific Enthalpy = Enthalpy+(Fluid Velocity^2)/2

Enthalpy Equation using Coefficient of Pressure for Calorically Perfect Gas

Go Enthalpy = Pressure Coefficient*Temperature

Pressure Equation using Enthalpy and Density Formula

Pressure = Enthalpy*Density*(Specific Heat Ratio-1)/Specific Heat Ratio
P = H*ρ*(Y-1)/Y

what is enthalpy?

Enthalpy is a property of a thermodynamic system, defined as the sum of the system's internal energy and the product of its pressure and volume.

How to Calculate Pressure Equation using Enthalpy and Density?

Pressure Equation using Enthalpy and Density calculator uses Pressure = Enthalpy*Density*(Specific Heat Ratio-1)/Specific Heat Ratio to calculate the Pressure, The pressure equation using Enthalpy and density formula is defined as the interrelation between specific heat ratio , pressure and density. Pressure is denoted by P symbol.

How to calculate Pressure Equation using Enthalpy and Density using this online calculator? To use this online calculator for Pressure Equation using Enthalpy and Density, enter Enthalpy (H), Density (ρ) & Specific Heat Ratio (Y) and hit the calculate button. Here is how the Pressure Equation using Enthalpy and Density calculation can be explained with given input values -> 564551.2 = 1510*997*(1.6-1)/1.6.

FAQ

What is Pressure Equation using Enthalpy and Density?

The pressure equation using Enthalpy and density formula is defined as the interrelation between specific heat ratio , pressure and density and is represented as P = H*ρ*(Y-1)/Y or Pressure = Enthalpy*Density*(Specific Heat Ratio-1)/Specific Heat Ratio. Enthalpy is the thermodynamic quantity equivalent to the total heat content of a system, The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object & 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.

How to calculate Pressure Equation using Enthalpy and Density?

The pressure equation using Enthalpy and density formula is defined as the interrelation between specific heat ratio , pressure and density is calculated using Pressure = Enthalpy*Density*(Specific Heat Ratio-1)/Specific Heat Ratio. To calculate Pressure Equation using Enthalpy and Density, you need Enthalpy (H), Density (ρ) & Specific Heat Ratio (Y). With our tool, you need to enter the respective value for Enthalpy, Density & Specific Heat Ratio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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