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Density behind Oblique Shock for given Upstream Density and Normal Upstream Mach Number Formula

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Density Behind Oblique Shock signifies the air or fluid density after passing through an oblique shock wave. Check FAQs

ρ 2 = ρ 1 \cdot ((γ o + 1) \cdot \frac{{M n1}^{2}}{2 + (γ o - 1) \cdot {M n1}^{2}})

ρ₂ - Density Behind Oblique Shock?ρ₁ - Density Ahead of Oblique Shock?γ_o - Specific Heat Ratio Oblique Shock?M_n1 - Upstream Mach Normal to Oblique Shock?

Density behind Oblique Shock for given Upstream Density and Normal Upstream Mach Number Example

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Here is how the Density behind Oblique Shock for given Upstream Density and Normal Upstream Mach Number equation looks like with Values.

Here is how the Density behind Oblique Shock for given Upstream Density and Normal Upstream Mach Number equation looks like with Units.

Here is how the Density behind Oblique Shock for given Upstream Density and Normal Upstream Mach Number equation looks like.

2.5012 = 1.225 \cdot ((1.4 + 1) \cdot \frac{{1.606}^{2}}{2 + (1.4 - 1) \cdot {1.606}^{2}})

2.5012kg/m³ = 1.225kg/m³ \cdot ((1.4 + 1) \cdot \frac{{1.606}^{2}}{2 + (1.4 - 1) \cdot {1.606}^{2}})

2.5012 = 1.225 \cdot ((1.4 + 1) \cdot \frac{{1.606}^{2}}{2 + (1.4 - 1) \cdot {1.606}^{2}})

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Density behind Oblique Shock for given Upstream Density and Normal Upstream Mach Number Solution

Follow our step by step solution on how to calculate Density behind Oblique Shock for given Upstream Density and Normal Upstream Mach Number?

FIRST Step Consider the formula

ρ 2 = ρ 1 \cdot ((γ o + 1) \cdot \frac{{M n1}^{2}}{2 + (γ o - 1) \cdot {M n1}^{2}})

Next Step Substitute values of Variables

∴

ρ 2 = 1.225kg/m³ \cdot ((1.4 + 1) \cdot \frac{{1.606}^{2}}{2 + (1.4 - 1) \cdot {1.606}^{2}})

Next Step Prepare to Evaluate

∴

ρ 2 = 1.225 \cdot ((1.4 + 1) \cdot \frac{{1.606}^{2}}{2 + (1.4 - 1) \cdot {1.606}^{2}})

Next Step Evaluate

∴

ρ 2 = 2.50122632413082kg/m³

LAST Step Rounding Answer

∴

ρ 2 = 2.5012kg/m³

Density behind Oblique Shock for given Upstream Density and Normal Upstream Mach Number Formula Elements

Variables

Density Behind Oblique Shock

Density Behind Oblique Shock signifies the air or fluid density after passing through an oblique shock wave.

Symbol: ρ₂

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density Behind Oblique Shock

Density Ahead of Oblique Shock

Density Ahead of Oblique Shock refers to the air or fluid density before encountering an oblique shock wave.

Symbol: ρ₁

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density Ahead of Oblique Shock

Specific Heat Ratio Oblique Shock

The Specific Heat Ratio Oblique Shock is the ratio of the heat capacity at constant pressure to heat capacity at constant volume.

Symbol: γ_o

Measurement: NAUnit: Unitless

Note: Value should be greater than 1.

Formulas to find Specific Heat Ratio Oblique Shock

Upstream Mach Normal to Oblique Shock

Upstream Mach Normal to Oblique Shock represents the Mach number's component aligned with the shock wave's normal direction.

Symbol: M_n1

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Upstream Mach Normal to Oblique Shock

Other formulas in Oblique Shock category

Go Component of Upstream Mach Normal to Oblique Shock

M n1 = M 1 \cdot \sin (β)

Go Component of Downstream Mach Normal to Oblique Shock

M n2 = M 2 \cdot \sin (β - θ)

Go Flow Deflection Angle due to Oblique Shock

θ = a \tan (\frac{2 \cdot \cot (β) \cdot ({(M 1 \cdot \sin (β))}^{2} - 1)}{{M 1}^{2} \cdot (γ o + \cos (2 \cdot β)) + 2})

Go Density Ratio across Oblique Shock

ρ r = (γ o + 1) \cdot \frac{{M n1}^{2}}{2 + (γ o - 1) \cdot {M n1}^{2}}

How to Evaluate Density behind Oblique Shock for given Upstream Density and Normal Upstream Mach Number?

Density behind Oblique Shock for given Upstream Density and Normal Upstream Mach Number evaluator uses Density Behind Oblique Shock = Density Ahead of Oblique Shock*((Specific Heat Ratio Oblique Shock+1)*(Upstream Mach Normal to Oblique Shock^2)/(2+(Specific Heat Ratio Oblique Shock-1)*Upstream Mach Normal to Oblique Shock^2)) to evaluate the Density Behind Oblique Shock, The Density behind Oblique Shock for given Upstream Density and Normal Upstream Mach Number formula describes the density of the fluid immediately behind an oblique shock wave. This formula quantifies how the density of the flow changes behind an oblique shock wave, considering parameters such as the upstream density, Mach number, and shock wave angle. Density Behind Oblique Shock is denoted by ρ₂ symbol.

How to evaluate Density behind Oblique Shock for given Upstream Density and Normal Upstream Mach Number using this online evaluator? To use this online evaluator for Density behind Oblique Shock for given Upstream Density and Normal Upstream Mach Number, enter Density Ahead of Oblique Shock (ρ₁), Specific Heat Ratio Oblique Shock (γ_o) & Upstream Mach Normal to Oblique Shock (M_n1) and hit the calculate button.

FAQs on Density behind Oblique Shock for given Upstream Density and Normal Upstream Mach Number

What is the formula to find Density behind Oblique Shock for given Upstream Density and Normal Upstream Mach Number?

The formula of Density behind Oblique Shock for given Upstream Density and Normal Upstream Mach Number is expressed as Density Behind Oblique Shock = Density Ahead of Oblique Shock*((Specific Heat Ratio Oblique Shock+1)*(Upstream Mach Normal to Oblique Shock^2)/(2+(Specific Heat Ratio Oblique Shock-1)*Upstream Mach Normal to Oblique Shock^2)). Here is an example- 2.501226 = 1.225*((1.4+1)*(1.606^2)/(2+(1.4-1)*1.606^2)).

How to calculate Density behind Oblique Shock for given Upstream Density and Normal Upstream Mach Number?

With Density Ahead of Oblique Shock (ρ₁), Specific Heat Ratio Oblique Shock (γ_o) & Upstream Mach Normal to Oblique Shock (M_n1) we can find Density behind Oblique Shock for given Upstream Density and Normal Upstream Mach Number using the formula - Density Behind Oblique Shock = Density Ahead of Oblique Shock*((Specific Heat Ratio Oblique Shock+1)*(Upstream Mach Normal to Oblique Shock^2)/(2+(Specific Heat Ratio Oblique Shock-1)*Upstream Mach Normal to Oblique Shock^2)).

Can the Density behind Oblique Shock for given Upstream Density and Normal Upstream Mach Number be negative?

No, the Density behind Oblique Shock for given Upstream Density and Normal Upstream Mach Number, measured in Density cannot be negative.

Which unit is used to measure Density behind Oblique Shock for given Upstream Density and Normal Upstream Mach Number?

Density behind Oblique Shock for given Upstream Density and Normal Upstream Mach Number is usually measured using the Kilogram per Cubic Meter[kg/m³] for Density. Kilogram per Cubic Centimeter[kg/m³], Gram per Cubic Meter[kg/m³], Gram per Cubic Centimeter[kg/m³] are the few other units in which Density behind Oblique Shock for given Upstream Density and Normal Upstream Mach Number can be measured.

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Density behind Oblique Shock for given Upstream Density and Normal Upstream Mach Number Formula

Density behind Oblique Shock for given Upstream Density and Normal Upstream Mach Number Example

Density behind Oblique Shock for given Upstream Density and Normal Upstream Mach Number Solution

Density behind Oblique Shock for given Upstream Density and Normal Upstream Mach Number Formula Elements

Other formulas in Oblique Shock category

How to Evaluate Density behind Oblique Shock for given Upstream Density and Normal Upstream Mach Number?

FAQs on Density behind Oblique Shock for given Upstream Density and Normal Upstream Mach Number

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