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Scale Factor for Length refers to the ratio by which dimensions are enlarged or reduced in proportion to an original size. Check FAQs
αL=αTR⋅αν
αL - Scale Factor for Length?αTR - Scale Factor for the Time of Reynolds Scaling?αν - Scale Factor for Fluid Viscosity?

Scale Factor for Length given Scale Factor for Time and Kinematic Viscosity Example

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Here is how the Scale Factor for Length given Scale Factor for Time and Kinematic Viscosity equation looks like with Values.

Here is how the Scale Factor for Length given Scale Factor for Time and Kinematic Viscosity equation looks like with Units.

Here is how the Scale Factor for Length given Scale Factor for Time and Kinematic Viscosity equation looks like.

17.991Edit=324.0001Edit⋅0.999Edit
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Scale Factor for Length given Scale Factor for Time and Kinematic Viscosity Solution

Follow our step by step solution on how to calculate Scale Factor for Length given Scale Factor for Time and Kinematic Viscosity?

FIRST Step Consider the formula
αL=αTR⋅αν
Next Step Substitute values of Variables
∴ αL=324.0001⋅0.999
Next Step Prepare to Evaluate
∴ αL=324.0001⋅0.999
Next Step Evaluate
∴αL=17.9910005252626
LAST Step Rounding Answer
∴αL=17.991

Scale Factor for Length given Scale Factor for Time and Kinematic Viscosity Formula Elements

Variables
Functions
Scale Factor for Length
Scale Factor for Length refers to the ratio by which dimensions are enlarged or reduced in proportion to an original size.
Symbol: αL
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Scale Factor for LengthOpen Variable
Scale Factor for the Time of Reynolds Scaling
Scale Factor for the Time of Reynolds Scaling is defined as the factor between model and prototype when reynolds number is identical as per reynolds scaling.
Symbol: αTR
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Scale Factor for the Time of Reynolds ScalingOpen Variable
Scale Factor for Fluid Viscosity
Scale Factor for Fluid Viscosity is the ratio between dynamic viscosity of reference fluid and dynamic viscosity of actual fluid.
Symbol: αν
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Scale Factor for Fluid ViscosityOpen Variable
sqrt
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.
Syntax: sqrt(Number)

Other Formulas to find Scale Factor for Length

​Go Scale Factor for Length given Scale Factor for Acceleration
αL=αV2αA
​Go Scale Factor for Length given Scale Factor for Inertia Forces
αL=αFαρ⋅αV2
​Go Scale Factor for Length given Scale Factor for Time
αL=αT2

Other formulas in Scale Factor category

​Go Scale Factor for Velocity given Scale Factor for Time
αV=αLαT
​Go Scale Factor for Acceleration
αA=αV2αL
​Go Scale Factor for Velocity given Scale Factor for Acceleration
αV=αA⋅αL
​Go Scale Factor for Time given Scale Factor for Acceleration
αT=(αVαA)

How to Evaluate Scale Factor for Length given Scale Factor for Time and Kinematic Viscosity?

Scale Factor for Length given Scale Factor for Time and Kinematic Viscosity evaluator uses Scale Factor for Length = sqrt(Scale Factor for the Time of Reynolds Scaling*Scale Factor for Fluid Viscosity) to evaluate the Scale Factor for Length, The Scale Factor for Length given Scale Factor for Time and Kinematic Viscosity when Reynolds scaling is defined as when inertia and viscous forces are of predominant importance in the flow. Scale Factor for Length is denoted by αL symbol.

How to evaluate Scale Factor for Length given Scale Factor for Time and Kinematic Viscosity using this online evaluator? To use this online evaluator for Scale Factor for Length given Scale Factor for Time and Kinematic Viscosity, enter Scale Factor for the Time of Reynolds Scaling (αTR) & Scale Factor for Fluid Viscosity (αν) and hit the calculate button.

FAQs on Scale Factor for Length given Scale Factor for Time and Kinematic Viscosity

What is the formula to find Scale Factor for Length given Scale Factor for Time and Kinematic Viscosity?
The formula of Scale Factor for Length given Scale Factor for Time and Kinematic Viscosity is expressed as Scale Factor for Length = sqrt(Scale Factor for the Time of Reynolds Scaling*Scale Factor for Fluid Viscosity). Here is an example- 17.991 = sqrt(324.0001*0.999).
How to calculate Scale Factor for Length given Scale Factor for Time and Kinematic Viscosity?
With Scale Factor for the Time of Reynolds Scaling (αTR) & Scale Factor for Fluid Viscosity (αν) we can find Scale Factor for Length given Scale Factor for Time and Kinematic Viscosity using the formula - Scale Factor for Length = sqrt(Scale Factor for the Time of Reynolds Scaling*Scale Factor for Fluid Viscosity). This formula also uses Square Root (sqrt) function(s).
What are the other ways to Calculate Scale Factor for Length?
Here are the different ways to Calculate Scale Factor for Length-
  • Scale Factor for Length=Scale Factor for Velocity^2/Scale Factor for the AccelerationOpenImg
  • Scale Factor for Length=sqrt(Scale Factor for Inertia Forces/(Scale Factor for Density of Fluid*Scale Factor for Velocity^2))OpenImg
  • Scale Factor for Length=Scale Factor for the Time^(2)OpenImg
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