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Component of Upstream Mach Normal to Oblique Shock Formula

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

M n1 = M 1 \cdot \sin (β)

M_n1 - Upstream Mach Normal to Oblique Shock?M₁ - Mach Number Ahead of Oblique Shock?β - Oblique Shock Angle?

Component of Upstream Mach Normal to Oblique Shock Example

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Here is how the Component of Upstream Mach Normal to Oblique Shock equation looks like with Values.

Here is how the Component of Upstream Mach Normal to Oblique Shock equation looks like with Units.

Here is how the Component of Upstream Mach Normal to Oblique Shock equation looks like.

1.6056 = 2 \cdot \sin (53.4)

1.6056 = 2 \cdot \sin (53.4°)

1.6056 = 2 \cdot \sin (53.4)

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Component of Upstream Mach Normal to Oblique Shock Solution

Follow our step by step solution on how to calculate Component of Upstream Mach Normal to Oblique Shock?

FIRST Step Consider the formula

M n1 = M 1 \cdot \sin (β)

Next Step Substitute values of Variables

∴

M n1 = 2 \cdot \sin (53.4°)

Next Step Convert Units

∴

M n1 = 2 \cdot \sin (0.932rad)

Next Step Prepare to Evaluate

∴

M n1 = 2 \cdot \sin (0.932)

Next Step Evaluate

∴

M n1 = 1.60563495038202

LAST Step Rounding Answer

∴

M n1 = 1.6056

Component of Upstream Mach Normal to Oblique Shock Formula Elements

Variables

Functions

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

Mach Number Ahead of Oblique Shock

Mach Number Ahead of Oblique Shock signifies the velocity of a fluid or airflow relative to the speed of sound before encountering an oblique shock wave.

Symbol: M₁

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mach Number Ahead of Oblique Shock

Oblique Shock Angle

Oblique Shock Angle signifies the angle formed by the direction of an incoming airflow or fluid with respect to the oblique shock wave.

Symbol: β

Measurement: AngleUnit: °

Note: Value should be less than 91.

Formulas to find Oblique Shock Angle

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other formulas in Oblique Shock category

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}}

Go Pressure Ratio across Oblique Shock

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

How to Evaluate Component of Upstream Mach Normal to Oblique Shock?

Component of Upstream Mach Normal to Oblique Shock evaluator uses Upstream Mach Normal to Oblique Shock = Mach Number Ahead of Oblique Shock*sin(Oblique Shock Angle) to evaluate the Upstream Mach Normal to Oblique Shock, The Component of Upstream Mach Normal to Oblique Shock formula defines the Mach number component of the flow in the direction perpendicular to an oblique shock wave at the upstream condition this formula is crucial for analyzing supersonic flows encountering oblique shock waves. Upstream Mach Normal to Oblique Shock is denoted by M_n1 symbol.

How to evaluate Component of Upstream Mach Normal to Oblique Shock using this online evaluator? To use this online evaluator for Component of Upstream Mach Normal to Oblique Shock, enter Mach Number Ahead of Oblique Shock (M₁) & Oblique Shock Angle (β) and hit the calculate button.

FAQs on Component of Upstream Mach Normal to Oblique Shock

What is the formula to find Component of Upstream Mach Normal to Oblique Shock?

The formula of Component of Upstream Mach Normal to Oblique Shock is expressed as Upstream Mach Normal to Oblique Shock = Mach Number Ahead of Oblique Shock*sin(Oblique Shock Angle). Here is an example- 1.605635 = 2*sin(0.932005820564797).

How to calculate Component of Upstream Mach Normal to Oblique Shock?

With Mach Number Ahead of Oblique Shock (M₁) & Oblique Shock Angle (β) we can find Component of Upstream Mach Normal to Oblique Shock using the formula - Upstream Mach Normal to Oblique Shock = Mach Number Ahead of Oblique Shock*sin(Oblique Shock Angle). This formula also uses Sine function(s).

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