Representative Particle Size given Reynolds Number of Value Unity Calculator

✖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. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe.ⓘ Reynolds Number [Re]			+10% -10%
✖Kinematic Viscosity is a measure of a fluid's internal resistance to flow under gravitational forces.ⓘ Kinematic Viscosity [υ]			+10% -10%
✖Apparent Velocity of Seepage is velocity with which groundwater moves through the bulk of the porous medium.ⓘ Apparent Velocity of Seepage [V]			+10% -10%

✖Representative Particle Size da which is equally equal to d10.ⓘ Representative Particle Size given Reynolds Number of Value Unity [d_a]

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Formula

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Representative Particle Size given Reynolds Number of Value Unity

Formula

`"d"_{"a"} = ("Re"*"υ")/"V"`

Example

`"20833.33m"=("5000"*"100m²/s")/"24m/s"`

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Representative Particle Size given Reynolds Number of Value Unity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Representative Particle Size = (Reynolds Number*Kinematic Viscosity)/Apparent Velocity of Seepage
d_a = (Re*υ)/V
This formula uses 4 Variables

Variables Used

Representative Particle Size - (Measured in Meter) - Representative Particle Size da which is equally equal to d10.
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. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe.
Kinematic Viscosity - (Measured in Square Meter per Second) - Kinematic Viscosity is a measure of a fluid's internal resistance to flow under gravitational forces.
Apparent Velocity of Seepage - (Measured in Meter per Second) - Apparent Velocity of Seepage is velocity with which groundwater moves through the bulk of the porous medium.

STEP 1: Convert Input(s) to Base Unit

Reynolds Number: 5000 --> No Conversion Required
Kinematic Viscosity: 100 Square Meter per Second --> 100 Square Meter per Second No Conversion Required
Apparent Velocity of Seepage: 24 Meter per Second --> 24 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_a = (Re*υ)/V --> (5000*100)/24

Evaluating ... ...

d_a = 20833.3333333333

STEP 3: Convert Result to Output's Unit

20833.3333333333 Meter --> No Conversion Required

FINAL ANSWER

20833.3333333333 ≈ 20833.33 Meter <-- Representative Particle Size

(Calculation completed in 00.004 seconds)

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< 11 Darcy's Law Calculators

Representative Particle Size given Reynolds Number of Value Unity

Go Representative Particle Size = (Reynolds Number*Kinematic Viscosity)/Apparent Velocity of Seepage

Kinematic Viscosity of Water given Reynolds Number of Value Unity

Go Kinematic Viscosity = (Apparent Velocity of Seepage*Representative Particle Size)/Reynolds Number

Apparent Velocity of Seepage given Reynolds Number of Value Unity

Go Apparent Velocity of Seepage = (Reynolds Number*Kinematic Viscosity)/Representative Particle Size

Reynolds Number of Value Unity

Go Reynolds Number = (Apparent Velocity of Seepage*Representative Particle Size)/Kinematic Viscosity

Darcy's Law

Go Rate of Flow = -Hydraulic Conductivity*Cross-Sectional Area*Hydraulic Gradient

Apparent velocity of seepage when discharge and cross-sectional area are considered

Go Apparent Velocity of Seepage = Discharge/Cross section area of the porous medium

Coefficient of Permeability when Apparent Velocity of Seepage is considered

Go Coefficient of Permeability = Apparent Velocity of Seepage/Hydraulic Gradient

Hydraulic Gradient when Apparent Velocity of Seepage is considered

Go Hydraulic Gradient = Apparent Velocity of Seepage/Coefficient of Permeability

Apparent Velocity of Seepage

Go Apparent Velocity of Seepage = Coefficient of Permeability*Hydraulic Gradient

Apparent Velocity and Bulk Pore Velocity Relationship

Go Apparent Velocity of Seepage = Bulk Pore Velocity*Porosity of soil

Bulk Pore Velocity

Go Bulk Pore Velocity = Apparent Velocity of Seepage/Porosity of soil

Representative Particle Size given Reynolds Number of Value Unity Formula

Representative Particle Size = (Reynolds Number*Kinematic Viscosity)/Apparent Velocity of Seepage
d_a = (Re*υ)/V

What is Darcy's Law in Hydrology?

Darcy's law is an equation that describes the flow of a fluid through a porous medium. The law was formulated by Henry Darcy based on results of experiments on the flow of water through beds of sand, forming the basis of hydrogeology, a branch of earth sciences.

How to Calculate Representative Particle Size given Reynolds Number of Value Unity?

Representative Particle Size given Reynolds Number of Value Unity calculator uses Representative Particle Size = (Reynolds Number*Kinematic Viscosity)/Apparent Velocity of Seepage to calculate the Representative Particle Size, Representative Particle Size given Reynolds Number of Value Unity is defined as geometry of particle usually equal to d10 which represents size such that 10% of aquifer material is of smaller size. Representative Particle Size is denoted by d_a symbol.

How to calculate Representative Particle Size given Reynolds Number of Value Unity using this online calculator? To use this online calculator for Representative Particle Size given Reynolds Number of Value Unity, enter Reynolds Number (Re), Kinematic Viscosity (υ) & Apparent Velocity of Seepage (V) and hit the calculate button. Here is how the Representative Particle Size given Reynolds Number of Value Unity calculation can be explained with given input values -> 20833.33 = (5000*100)/24.

FAQ

What is Representative Particle Size given Reynolds Number of Value Unity?

Representative Particle Size given Reynolds Number of Value Unity is defined as geometry of particle usually equal to d10 which represents size such that 10% of aquifer material is of smaller size and is represented as d_a = (Re*υ)/V or Representative Particle Size = (Reynolds Number*Kinematic Viscosity)/Apparent Velocity of Seepage. 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. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe, Kinematic Viscosity is a measure of a fluid's internal resistance to flow under gravitational forces & Apparent Velocity of Seepage is velocity with which groundwater moves through the bulk of the porous medium.

How to calculate Representative Particle Size given Reynolds Number of Value Unity?

Representative Particle Size given Reynolds Number of Value Unity is defined as geometry of particle usually equal to d10 which represents size such that 10% of aquifer material is of smaller size is calculated using Representative Particle Size = (Reynolds Number*Kinematic Viscosity)/Apparent Velocity of Seepage. To calculate Representative Particle Size given Reynolds Number of Value Unity, you need Reynolds Number (Re), Kinematic Viscosity (υ) & Apparent Velocity of Seepage (V). With our tool, you need to enter the respective value for Reynolds Number, Kinematic Viscosity & Apparent Velocity of Seepage and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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