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Enthalpy Difference using Hugoniot Equation Formula

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Enthalpy Change is the thermodynamic quantity equivalent to the total difference between the heat content of a system. Check FAQs

ΔH = 0.5 \cdot (P 2 - P 1) \cdot (\frac{ρ 1 + ρ 2}{ρ 2 \cdot ρ 1})

ΔH - Enthalpy Change?P₂ - Static pressure Behind Normal shock?P₁ - Static Pressure Ahead of Normal Shock?ρ₁ - Density Ahead of Normal Shock?ρ₂ - Density Behind Normal Shock?

Enthalpy Difference using Hugoniot Equation Example

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Here is how the Enthalpy Difference using Hugoniot Equation equation looks like with Values.

Here is how the Enthalpy Difference using Hugoniot Equation equation looks like with Units.

Here is how the Enthalpy Difference using Hugoniot Equation equation looks like.

8.1889 = 0.5 \cdot (110 - 65.374) \cdot (\frac{5.4 + 5.5}{5.5 \cdot 5.4})

8.1889J/kg = 0.5 \cdot (110Pa - 65.374Pa) \cdot (\frac{5.4kg/m³ + 5.5kg/m³}{5.5kg/m³ \cdot 5.4kg/m³})

8.1889 = 0.5 \cdot (110 - 65.374) \cdot (\frac{5.4 + 5.5}{5.5 \cdot 5.4})

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Enthalpy Difference using Hugoniot Equation Solution

Follow our step by step solution on how to calculate Enthalpy Difference using Hugoniot Equation?

FIRST Step Consider the formula

ΔH = 0.5 \cdot (P 2 - P 1) \cdot (\frac{ρ 1 + ρ 2}{ρ 2 \cdot ρ 1})

Next Step Substitute values of Variables

∴

ΔH = 0.5 \cdot (110Pa - 65.374Pa) \cdot (\frac{5.4kg/m³ + 5.5kg/m³}{5.5kg/m³ \cdot 5.4kg/m³})

Next Step Prepare to Evaluate

∴

ΔH = 0.5 \cdot (110 - 65.374) \cdot (\frac{5.4 + 5.5}{5.5 \cdot 5.4})

Next Step Evaluate

∴

ΔH = 8.18894612794613J/kg

LAST Step Rounding Answer

∴

ΔH = 8.1889J/kg

Enthalpy Difference using Hugoniot Equation Formula Elements

Variables

Enthalpy Change

Enthalpy Change is the thermodynamic quantity equivalent to the total difference between the heat content of a system.

Symbol: ΔH

Measurement: Heat of Combustion (per Mass)Unit: J/kg

Note: Value can be positive or negative.

Formulas to find Enthalpy Change

Static pressure Behind Normal shock

Static Pressure Behind Normal Shock denotes the pressure of a fluid after passing through a normal shock wave.

Symbol: P₂

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Static pressure Behind Normal shock

Static Pressure Ahead of Normal Shock

Static Pressure Ahead of Normal Shock is the pressure in the upstream direction of shock.

Symbol: P₁

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Static Pressure Ahead of Normal Shock

Density Ahead of Normal Shock

Density Ahead of Normal Shock refers to the density of a fluid before encountering a normal shock wave.

Symbol: ρ₁

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density Ahead of Normal Shock

Density Behind Normal Shock

Density Behind Normal Shock represents the density of a fluid after passing through a normal shock wave.

Symbol: ρ₂

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density Behind Normal Shock

Other formulas in Normal Shock Relations category

Go Downstream Velocity using Prandtl Relation

V 2 = \frac{{a cr}^{2}}{V 1}

Go Characteristic Mach Number

M cr = \frac{u f}{a cr}

Go Relation between Mach Number and Characteristic Mach Number

M cr = {(\frac{γ + 1}{γ - 1 + \frac{2}{M^{2}}})}^{0.5}

Go Upstream Velocity using Prandtl Relation

V 1 = \frac{{a cr}^{2}}{V 2}

How to Evaluate Enthalpy Difference using Hugoniot Equation?

Enthalpy Difference using Hugoniot Equation evaluator uses Enthalpy Change = 0.5*(Static pressure Behind Normal shock-Static Pressure Ahead of Normal Shock)*((Density Ahead of Normal Shock+Density Behind Normal Shock)/(Density Behind Normal Shock*Density Ahead of Normal Shock)) to evaluate the Enthalpy Change, The Enthalpy Difference using Hugoniot Equation calculates the change in enthalpy across a normal shock wave employing the Hugoniot equation. This formula considers parameters such as the static pressures and densities ahead and behind the shock. It provides insight into the alteration in enthalpy resulting from the shock wave passage, aiding in the analysis of compressible flow phenomena. Enthalpy Change is denoted by ΔH symbol.

How to evaluate Enthalpy Difference using Hugoniot Equation using this online evaluator? To use this online evaluator for Enthalpy Difference using Hugoniot Equation, enter Static pressure Behind Normal shock (P₂), Static Pressure Ahead of Normal Shock (P₁), Density Ahead of Normal Shock (ρ₁) & Density Behind Normal Shock (ρ₂) and hit the calculate button.

FAQs on Enthalpy Difference using Hugoniot Equation

What is the formula to find Enthalpy Difference using Hugoniot Equation?

The formula of Enthalpy Difference using Hugoniot Equation is expressed as Enthalpy Change = 0.5*(Static pressure Behind Normal shock-Static Pressure Ahead of Normal Shock)*((Density Ahead of Normal Shock+Density Behind Normal Shock)/(Density Behind Normal Shock*Density Ahead of Normal Shock)). Here is an example- 8.188946 = 0.5*(110-65.374)*((5.4+5.5)/(5.5*5.4)).

How to calculate Enthalpy Difference using Hugoniot Equation?

With Static pressure Behind Normal shock (P₂), Static Pressure Ahead of Normal Shock (P₁), Density Ahead of Normal Shock (ρ₁) & Density Behind Normal Shock (ρ₂) we can find Enthalpy Difference using Hugoniot Equation using the formula - Enthalpy Change = 0.5*(Static pressure Behind Normal shock-Static Pressure Ahead of Normal Shock)*((Density Ahead of Normal Shock+Density Behind Normal Shock)/(Density Behind Normal Shock*Density Ahead of Normal Shock)).

Can the Enthalpy Difference using Hugoniot Equation be negative?

Yes, the Enthalpy Difference using Hugoniot Equation, measured in Heat of Combustion (per Mass) can be negative.

Which unit is used to measure Enthalpy Difference using Hugoniot Equation?

Enthalpy Difference using Hugoniot Equation is usually measured using the Joule per Kilogram[J/kg] for Heat of Combustion (per Mass). Kilojoule per Kilogram[J/kg], Calorie (IT) per Gram[J/kg] are the few other units in which Enthalpy Difference using Hugoniot Equation can be measured.

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Enthalpy Difference using Hugoniot Equation Formula

Enthalpy Difference using Hugoniot Equation Example

Enthalpy Difference using Hugoniot Equation Solution

Enthalpy Difference using Hugoniot Equation Formula Elements

Other formulas in Normal Shock Relations category

How to Evaluate Enthalpy Difference using Hugoniot Equation?

FAQs on Enthalpy Difference using Hugoniot Equation

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