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Contents of the Three-Dimensional Incompressible Flow PDF

List of 29 Three-Dimensional Incompressible Flow Formulas

Doublet Strength for 3D Incompressible Flow

Doublet Strength given Radial Coordinate of Stagnation Point

Doublet Strength given Radial Velocity

Doublet Strength given Tangential Velocity

Freestream Velocity at Stagnation Point for Flow over Sphere

Freestream Velocity given Maximum Surface Velocity

Freestream Velocity given Radial Velocity

Freestream Velocity given Surface Velocity for Flow over Sphere

Freestream Velocity given Tangential Velocity

Maximum Surface Velocity for Flow over Sphere

Polar Coordinate given Radial Velocity

Polar Coordinate given Surface Pressure Coefficient

Polar Coordinate given Surface Velocity for Flow over Sphere

Polar Coordinate given Tangential Velocity

Radial Coordinate for 3D Doublet Flow given Velocity Potential

Radial Coordinate for 3D Source Flow given Radial Velocity

Radial Coordinate for 3D Source Flow given Velocity Potential

Radial Coordinate given Radial Velocity

Radial Coordinate given Tangential Velocity

Radial Coordinate of Stagnation Point for Flow over Sphere

Radial Velocity for 3D Incompressible Source Flow

Radial Velocity for Flow over Sphere

Source Strength for 3D Incompressible Source Flow given Radial Velocity

Source Strength for 3D Incompressible Source Flow given Velocity Potential

Surface Pressure Coefficient for Flow over Sphere

Surface Velocity for Incompressible Flow over Sphere

Tangential Velocity for Flow over Sphere

Velocity Potential for 3D Incompressible Doublet Flow

Velocity Potential for 3D Incompressible Source Flow

Variables used in Three-Dimensional Incompressible Flow PDF

C_p Pressure Coefficient
r Radial Coordinate (Meter)
R_s Radius of Sphere (Meter)
V_∞ Freestream Velocity (Meter per Second)
V_r Radial Velocity (Meter per Second)
V_s,max Maximum Surface Velocity (Meter per Second)
V_θ Tangential Velocity (Meter per Second)
θ Polar Angle (Radian)
Λ Source Strength (Square Meter per Second)
μ Doublet Strength (Cubic Meter per Second)
ϕ Velocity Potential (Square Meter per Second)
ϕ_s Source Velocity Potential (Square Meter per Second)

Constants, Functions and Measurements used in Three-Dimensional Incompressible Flow PDF

Constant: pi, 3.14159265358979323846264338327950288
Archimedes' constant
Function: acos, acos(Number)
The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio.
Function: asin, asin(Number)
The inverse sine 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: cos, cos(Angle)
Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.
Function: modulus, modulus
Modulus of a number is the remainder when that number is divided by another number.
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.
Measurement: Length in Meter (m)
Length Unit Conversion
Measurement: Speed in Meter per Second (m/s)
Speed Unit Conversion
Measurement: Angle in Radian (rad)
Angle Unit Conversion
Measurement: Volumetric Flow Rate in Cubic Meter per Second (m³/s)
Volumetric Flow Rate Unit Conversion
Measurement: Velocity Potential in Square Meter per Second (m²/s)
Velocity Potential Unit Conversion

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