Diameter of Particle given Minimum Critical Scour Velocity Calculator

✖Minimum Critical Scour Velocity is the minimum settling velocity.ⓘ Minimum Critical Scour Velocity [v_mins]			+10% -10%
✖Acceleration due to Gravity is a fundamental physical constant that represents the acceleration of an object due to the force of gravity exerted by the Earth.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Specific Gravity of Particle is the ratio of density of particle to density of standard material.ⓘ Specific Gravity of Particle [G]			+10% -10%

✖Diameter of Particle(Min Critical Scour Velocity) is the size of sediment particles that can be moved or eroded by a fluid flow at its minimum critical scour velocity.ⓘ Diameter of Particle given Minimum Critical Scour Velocity [D_p]

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Formula

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Diameter of Particle given Minimum Critical Scour Velocity

Formula

D p = {(\frac{v mins}{3 \cdot \sqrt{g \cdot (G - 1)}})}^{2}

Example

0.027666 m = {(\frac{6.048 m/s}{3 \cdot \sqrt{9.8 m/s² \cdot (15.99 - 1)}})}^{2}

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Diameter of Particle given Minimum Critical Scour Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Particle(Min Critical Scour Velocity) = (Minimum Critical Scour Velocity/(3*sqrt(Acceleration due to Gravity*(Specific Gravity of Particle-1))))^2
D_p = (v_mins/(3*sqrt(g*(G-1))))^2
This formula uses 1 Functions, 4 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

Diameter of Particle(Min Critical Scour Velocity) - (Measured in Meter) - Diameter of Particle(Min Critical Scour Velocity) is the size of sediment particles that can be moved or eroded by a fluid flow at its minimum critical scour velocity.
Minimum Critical Scour Velocity - (Measured in Meter per Second) - Minimum Critical Scour Velocity is the minimum settling velocity.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is a fundamental physical constant that represents the acceleration of an object due to the force of gravity exerted by the Earth.
Specific Gravity of Particle - Specific Gravity of Particle is the ratio of density of particle to density of standard material.

STEP 1: Convert Input(s) to Base Unit

Minimum Critical Scour Velocity: 6.048 Meter per Second --> 6.048 Meter per Second No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Specific Gravity of Particle: 15.99 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_p = (v_mins/(3*sqrt(g*(G-1))))^2 --> (6.048/(3*sqrt(9.8*(15.99-1))))^2

Evaluating ... ...

D_p = 0.0276664442961975

STEP 3: Convert Result to Output's Unit

0.0276664442961975 Meter --> No Conversion Required

FINAL ANSWER

0.0276664442961975 ≈ 0.027666 Meter <-- Diameter of Particle(Min Critical Scour Velocity)

(Calculation completed in 00.004 seconds)

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< Modified Shield's Formula Calculators

Diameter of Particle given Minimum Critical Scour Velocity

Go Diameter of Particle(Min Critical Scour Velocity) = (Minimum Critical Scour Velocity/(3*sqrt(Acceleration due to Gravity*(Specific Gravity of Particle-1))))^2

Specific Gravity given Minimum Critical Scour Velocity

Go Specific Gravity of Particle = ((Minimum Critical Scour Velocity/(3*sqrt(Acceleration due to Gravity*Diameter of Particle(Min Critical Scour Velocity))))^2)+1

Maximum Critical Scour Velocity

Go Maximum Critical Scour Velocity = (4.5*sqrt(Acceleration due to Gravity*Diameter of Particle(Max Critical Scour Velocity)*(Specific Gravity of Particle-1)))

Minimum Critical Scour Velocity

Go Minimum Critical Scour Velocity = (3*sqrt(Acceleration due to Gravity*Diameter of Particle(Min Critical Scour Velocity)*(Specific Gravity of Particle-1)))

Diameter of Particle given Minimum Critical Scour Velocity Formula

Diameter of Particle(Min Critical Scour Velocity) = (Minimum Critical Scour Velocity/(3*sqrt(Acceleration due to Gravity*(Specific Gravity of Particle-1))))^2
D_p = (v_mins/(3*sqrt(g*(G-1))))^2

What is Scour Velocity?

The velocity of water which is necessary to dislodge stranded solids from the stream bed.Critical velocity is the speed and direction at which the flow of a liquid through a tube changes from smooth to turbulent.

How to Calculate Diameter of Particle given Minimum Critical Scour Velocity?

Diameter of Particle given Minimum Critical Scour Velocity calculator uses Diameter of Particle(Min Critical Scour Velocity) = (Minimum Critical Scour Velocity/(3*sqrt(Acceleration due to Gravity*(Specific Gravity of Particle-1))))^2 to calculate the Diameter of Particle(Min Critical Scour Velocity), The Diameter of Particle given Minimum Critical Scour Velocity formula is defined as the value of the size of sediment particles that can be moved or eroded by a fluid flow at its minimum critical scour velocity. The critical scour velocity is the flow speed at which particles begin to be dislodged and transported by the fluid. Diameter of Particle(Min Critical Scour Velocity) is denoted by D_p symbol.

How to calculate Diameter of Particle given Minimum Critical Scour Velocity using this online calculator? To use this online calculator for Diameter of Particle given Minimum Critical Scour Velocity, enter Minimum Critical Scour Velocity (v_mins), Acceleration due to Gravity (g) & Specific Gravity of Particle (G) and hit the calculate button. Here is how the Diameter of Particle given Minimum Critical Scour Velocity calculation can be explained with given input values -> 0.027648 = (6.048/(3*sqrt(9.8*(15.99-1))))^2.

FAQ

What is Diameter of Particle given Minimum Critical Scour Velocity?

The Diameter of Particle given Minimum Critical Scour Velocity formula is defined as the value of the size of sediment particles that can be moved or eroded by a fluid flow at its minimum critical scour velocity. The critical scour velocity is the flow speed at which particles begin to be dislodged and transported by the fluid and is represented as D_p = (v_mins/(3*sqrt(g*(G-1))))^2 or Diameter of Particle(Min Critical Scour Velocity) = (Minimum Critical Scour Velocity/(3*sqrt(Acceleration due to Gravity*(Specific Gravity of Particle-1))))^2. Minimum Critical Scour Velocity is the minimum settling velocity, Acceleration due to Gravity is a fundamental physical constant that represents the acceleration of an object due to the force of gravity exerted by the Earth & Specific Gravity of Particle is the ratio of density of particle to density of standard material.

How to calculate Diameter of Particle given Minimum Critical Scour Velocity?

The Diameter of Particle given Minimum Critical Scour Velocity formula is defined as the value of the size of sediment particles that can be moved or eroded by a fluid flow at its minimum critical scour velocity. The critical scour velocity is the flow speed at which particles begin to be dislodged and transported by the fluid is calculated using Diameter of Particle(Min Critical Scour Velocity) = (Minimum Critical Scour Velocity/(3*sqrt(Acceleration due to Gravity*(Specific Gravity of Particle-1))))^2. To calculate Diameter of Particle given Minimum Critical Scour Velocity, you need Minimum Critical Scour Velocity (v_mins), Acceleration due to Gravity (g) & Specific Gravity of Particle (G). With our tool, you need to enter the respective value for Minimum Critical Scour Velocity, Acceleration due to Gravity & Specific Gravity of Particle 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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