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Contents of the Oblique Shock and Expansion Waves PDF

List of 20 Oblique Shock and Expansion Waves Formulas

Component of Downstream Mach Normal to Oblique Shock

Component of Downstream Mach Number Normal to Oblique Shock for given Normal Upstream Mach Number

Component of Upstream Mach Normal to Oblique Shock

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

Density Ratio across Oblique Shock

Flow Deflection Angle due to Expansion Wave

Flow Deflection Angle due to Oblique Shock

Flow Deflection Angle using Prandtl Meyer Function

Forward Mach Angle of Expansion Fan

Prandtl Meyer Function

Prandtl Meyer Function at Upstream Mach Number

Pressure behind Expansion Fan

Pressure behind Oblique Shock for given Upstream Pressure and Normal Upstream Mach Number

Pressure Ratio across Expansion Fan

Pressure Ratio across Oblique Shock

Rearward Mach Angle of Expansion Fan

Temperature behind Expansion Fan

Temperature behind Oblique Shock for given Upstream Temperature and Normal Upstream Mach Number

Temperature Ratio across Expansion Fan

Temperature Ratio across Oblique Shock

Variables used in Oblique Shock and Expansion Waves PDF

M Mach Number
M₁ Mach Number Ahead of Oblique Shock
M₂ Mach Number Behind Oblique Shock
M_e1 Mach Number Ahead of Expansion Fan
M_e2 Mach Number Behind Expansion Fan
M_n1 Upstream Mach Normal to Oblique Shock
M_n2 Downstream Mach Normal to Oblique Shock
P₁ Pressure Ahead of Expansion Fan (Pascal)
P₂ Pressure Behind Expansion Fan (Pascal)
P_a Static Pressure Ahead of Oblique Shock (Pascal)
P_b Static Pressure Behind Oblique Shock (Pascal)
P_e,r Pressure Ratio Across Expansion Fan
P_r Pressure Ratio Across Oblique Shock
T₁ Temperature Ahead of Expansion Fan (Kelvin)
T₂ Temperature Behind Expansion Fan (Kelvin)
T_e,r Temperature Ratio Across Expansion Fan
T_r Temperature Ratio Across Oblique Shock
T_s1 Temperature Ahead of Oblique Shock (Kelvin)
T_s2 Temperature Behind Oblique Shock (Kelvin)
v_M1 Prandtl Meyer Function at Upstream Mach no. (Degree)
v_M2 Prandtl Meyer Function at Downstream Mach no. (Degree)
β Oblique Shock Angle (Degree)
γ_e Specific Heat Ratio Expansion Wave
γ_o Specific Heat Ratio Oblique Shock
θ Flow Deflection Angle Oblique Shock (Degree)
θ_e Flow Deflection Angle (Degree)
μ₁ Forward Mach Angle (Degree)
μ₂ Rearward Mach Angle (Degree)
ν_M Prandtl Meyer Function (Degree)
ρ₁ Density Ahead of Oblique Shock (Kilogram per Cubic Meter)
ρ₂ Density Behind Oblique Shock (Kilogram per Cubic Meter)
ρ_r Density Ratio Across Oblique Shock

Constants, Functions and Measurements used in Oblique Shock and Expansion Waves PDF

Function: arsin, arsin(Number)
Arcsine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio.
Function: atan, atan(Number)
Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle.
Function: cos, cos(Angle)
Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.
Function: cot, cot(Angle)
Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle.
Function: sin, sin(Angle)
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.
Function: sqrt, sqrt(Number)
A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.
Function: tan, tan(Angle)
The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.
Measurement: Temperature in Kelvin (K)
Temperature Unit Conversion
Measurement: Pressure in Pascal (Pa)
Pressure Unit Conversion
Measurement: Angle in Degree (°)
Angle Unit Conversion
Measurement: Density in Kilogram per Cubic Meter (kg/m³)
Density Unit Conversion

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