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

✖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.ⓘ Scale Factor for the Time of Reynolds Scaling [α_TR]			+10% -10%
✖Scale Factor for Fluid Viscosity is the ratio between dynamic viscosity of reference fluid and dynamic viscosity of actual fluid.ⓘ Scale Factor for Fluid Viscosity [αν]			+10% -10%

✖Scale Factor for Length refers to the ratio by which dimensions are enlarged or reduced in proportion to an original size.ⓘ Scale Factor for Length given Scale Factor for Time and Kinematic Viscosity [αL]

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

STEP 0: Pre-Calculation Summary

Formula Used

Scale Factor for Length = sqrt(Scale Factor for the Time of Reynolds Scaling*Scale Factor for Fluid Viscosity)
αL = sqrt(α_TR*αν)
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Scale Factor for the Time of Reynolds Scaling: 324.0001 --> No Conversion Required
Scale Factor for Fluid Viscosity: 0.999 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

αL = sqrt(α_TR*αν) --> sqrt(324.0001*0.999)

Evaluating ... ...

αL = 17.9910005252626

STEP 3: Convert Result to Output's Unit

17.9910005252626 --> No Conversion Required

FINAL ANSWER

17.9910005252626 ≈ 17.991 <-- Scale Factor for Length

(Calculation completed in 00.004 seconds)

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< Scale Factor Calculators

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

LaTeX Go

Scale Factor for Length = sqrt(Scale Factor for the Time of Reynolds Scaling*Scale Factor for Fluid Viscosity)
αL = sqrt(α_TR*αν)

What is Reynolds number?

The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities. The ability to predict the onset of turbulent flow is an important design tool for equipment such as piping systems or aircraft wings, but the Reynolds number is also used in scaling of fluid dynamics problems, and is used to determine dynamic similitude between two different cases of fluid flow, such as between a model aircraft, and its full-size version. Such scaling is not linear and the application of Reynolds numbers to both situations allows scaling factors to be developed.

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

Scale Factor for Length given Scale Factor for Time and Kinematic Viscosity calculator uses Scale Factor for Length = sqrt(Scale Factor for the Time of Reynolds Scaling*Scale Factor for Fluid Viscosity) to calculate 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 calculate Scale Factor for Length given Scale Factor for Time and Kinematic Viscosity using this online calculator? To use this online calculator for Scale Factor for Length given Scale Factor for Time and Kinematic Viscosity, enter Scale Factor for the Time of Reynolds Scaling (α_TR) & Scale Factor for Fluid Viscosity (αν) and hit the calculate button. Here is how the Scale Factor for Length given Scale Factor for Time and Kinematic Viscosity calculation can be explained with given input values -> 17.991 = sqrt(324.0001*0.999).

FAQ

What is Scale Factor for Length given Scale Factor for Time and Kinematic Viscosity?

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 and is represented as αL = sqrt(α_TR*αν) or Scale Factor for Length = sqrt(Scale Factor for the Time of Reynolds Scaling*Scale Factor for Fluid Viscosity). 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 & Scale Factor for Fluid Viscosity is the ratio between dynamic viscosity of reference fluid and dynamic viscosity of actual fluid.

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

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 is calculated using Scale Factor for Length = sqrt(Scale Factor for the Time of Reynolds Scaling*Scale Factor for Fluid Viscosity). To calculate Scale Factor for Length given Scale Factor for Time and Kinematic Viscosity, you need Scale Factor for the Time of Reynolds Scaling (α_TR) & Scale Factor for Fluid Viscosity (αν). With our tool, you need to enter the respective value for Scale Factor for the Time of Reynolds Scaling & Scale Factor for Fluid Viscosity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Scale Factor for Length?

In this formula, Scale Factor for Length uses Scale Factor for the Time of Reynolds Scaling & Scale Factor for Fluid Viscosity. We can use 3 other way(s) to calculate the same, which is/are as follows -

Scale Factor for Length = Scale Factor for Velocity^2/Scale Factor for the Acceleration
Scale Factor for Length = sqrt(Scale Factor for Inertia Forces/(Scale Factor for Density of Fluid*Scale Factor for Velocity^2))
Scale Factor for Length = Scale Factor for the Time^(2)

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