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Diameter of Grain for given Friction Factor Calculator

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✖Self Cleansing Velocity refers to the minimum speed at which fluid must flow in a sewer to prevent sediment deposition and maintain a clear path.ⓘ Self Cleansing Velocity [v_s]			+10% -10%
✖Dimensional Constant indicates important characteristics of sediments present in the sewage. Its value usually varies from 0.04 (start of scouring of clean grit) to 0.08 (full removal of sticky grit).ⓘ Dimensional Constant [k]			+10% -10%
✖Specific Gravity of Sediment is the ratio of sediment particle density to the density of water, indicating its heaviness.ⓘ Specific Gravity of Sediment [G]			+10% -10%
✖The Friction Factor quantifies resistance to flow in a pipe due to surface roughness, impacting energy loss and velocity.ⓘ Friction Factor [f']			+10% -10%

✖The Diameter of Particle is the straight-line distance across its widest point, typically measured in micrometers or millimeters.ⓘ Diameter of Grain for given Friction Factor [d^']

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Diameter of Grain for given Friction Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Particle = (Self Cleansing Velocity)^2/((8*[g]*Dimensional Constant*(Specific Gravity of Sediment-1))/Friction Factor)
d^' = (v_s)^2/((8*[g]*k*(G-1))/f')
This formula uses 1 Constants, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Diameter of Particle - (Measured in Meter) - The Diameter of Particle is the straight-line distance across its widest point, typically measured in micrometers or millimeters.
Self Cleansing Velocity - (Measured in Meter per Second) - Self Cleansing Velocity refers to the minimum speed at which fluid must flow in a sewer to prevent sediment deposition and maintain a clear path.
Dimensional Constant - Dimensional Constant indicates important characteristics of sediments present in the sewage. Its value usually varies from 0.04 (start of scouring of clean grit) to 0.08 (full removal of sticky grit).
Specific Gravity of Sediment - Specific Gravity of Sediment is the ratio of sediment particle density to the density of water, indicating its heaviness.
Friction Factor - The Friction Factor quantifies resistance to flow in a pipe due to surface roughness, impacting energy loss and velocity.

STEP 1: Convert Input(s) to Base Unit

Self Cleansing Velocity: 0.114 Meter per Second --> 0.114 Meter per Second No Conversion Required
Dimensional Constant: 0.04 --> No Conversion Required
Specific Gravity of Sediment: 1.3 --> No Conversion Required
Friction Factor: 0.348 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d^' = (v_s)^2/((8*[g]*k*(G-1))/f') --> (0.114)^2/((8*[g]*0.04*(1.3-1))/0.348)

Evaluating ... ...

d^' = 0.00480393406514967

STEP 3: Convert Result to Output's Unit

0.00480393406514967 Meter -->4.80393406514967 Millimeter (Check conversion here)

FINAL ANSWER

4.80393406514967 ≈ 4.803934 Millimeter <-- Diameter of Particle

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< Diameter of Grain Calculators

Diameter of Grain given Rugosity Coefficient

LaTeX Go Diameter of Particle = (1/(Dimensional Constant*(Specific Gravity of Sediment-1)))*((Self Cleansing Velocity*Rugosity Coefficient)/(Hydraulic Mean Depth)^(1/6))^2

Diameter of Grain for given Friction Factor

LaTeX Go Diameter of Particle = (Self Cleansing Velocity)^2/((8*[g]*Dimensional Constant*(Specific Gravity of Sediment-1))/Friction Factor)

Diameter of Grain given Self Cleaning Invert Slope

LaTeX Go Diameter of Particle = Self Cleaning Invert Slope/((Dimensional Constant/Hydraulic Mean Depth)*(Specific Gravity of Sediment-1))

Diameter of Grain given Self Cleansing velocity

LaTeX Go Diameter of Particle = (Self Cleansing Velocity/Chezy's Constant)^2/(Dimensional Constant*(Specific Gravity of Sediment-1))

Diameter of Grain for given Friction Factor Formula

LaTeX Go

Diameter of Particle = (Self Cleansing Velocity)^2/((8*[g]*Dimensional Constant*(Specific Gravity of Sediment-1))/Friction Factor)
d^' = (v_s)^2/((8*[g]*k*(G-1))/f')

What is friction factor ?

The friction factor is a dimensionless number that quantifies the resistance to flow within a pipe or channel due to surface roughness and fluid viscosity. It's crucial in calculating head loss and energy dissipation in fluid systems, influencing flow efficiency. The friction factor is typically determined using the Darcy-Weisbach equation or empirical correlations like the Moody chart, depending on flow conditions such as Reynolds number and relative roughness.

How to Calculate Diameter of Grain for given Friction Factor?

Diameter of Grain for given Friction Factor calculator uses Diameter of Particle = (Self Cleansing Velocity)^2/((8*[g]*Dimensional Constant*(Specific Gravity of Sediment-1))/Friction Factor) to calculate the Diameter of Particle, The diameter of Grain for given Friction Factor is defined as the straight-line distance across its widest point, typically measured in micrometers or millimeters. Diameter of Particle is denoted by d^' symbol.

How to calculate Diameter of Grain for given Friction Factor using this online calculator? To use this online calculator for Diameter of Grain for given Friction Factor, enter Self Cleansing Velocity (v_s), Dimensional Constant (k), Specific Gravity of Sediment (G) & Friction Factor (f') and hit the calculate button. Here is how the Diameter of Grain for given Friction Factor calculation can be explained with given input values -> 4803.934 = (0.114)^2/((8*[g]*0.04*(1.3-1))/0.348).

FAQ

What is Diameter of Grain for given Friction Factor?

The diameter of Grain for given Friction Factor is defined as the straight-line distance across its widest point, typically measured in micrometers or millimeters and is represented as d^' = (v_s)^2/((8*[g]*k*(G-1))/f') or Diameter of Particle = (Self Cleansing Velocity)^2/((8*[g]*Dimensional Constant*(Specific Gravity of Sediment-1))/Friction Factor). Self Cleansing Velocity refers to the minimum speed at which fluid must flow in a sewer to prevent sediment deposition and maintain a clear path, Dimensional Constant indicates important characteristics of sediments present in the sewage. Its value usually varies from 0.04 (start of scouring of clean grit) to 0.08 (full removal of sticky grit), Specific Gravity of Sediment is the ratio of sediment particle density to the density of water, indicating its heaviness & The Friction Factor quantifies resistance to flow in a pipe due to surface roughness, impacting energy loss and velocity.

How to calculate Diameter of Grain for given Friction Factor?

The diameter of Grain for given Friction Factor is defined as the straight-line distance across its widest point, typically measured in micrometers or millimeters is calculated using Diameter of Particle = (Self Cleansing Velocity)^2/((8*[g]*Dimensional Constant*(Specific Gravity of Sediment-1))/Friction Factor). To calculate Diameter of Grain for given Friction Factor, you need Self Cleansing Velocity (v_s), Dimensional Constant (k), Specific Gravity of Sediment (G) & Friction Factor (f'). With our tool, you need to enter the respective value for Self Cleansing Velocity, Dimensional Constant, Specific Gravity of Sediment & Friction Factor 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 Diameter of Particle?

In this formula, Diameter of Particle uses Self Cleansing Velocity, Dimensional Constant, Specific Gravity of Sediment & Friction Factor. We can use 3 other way(s) to calculate the same, which is/are as follows -

Diameter of Particle = Self Cleaning Invert Slope/((Dimensional Constant/Hydraulic Mean Depth)*(Specific Gravity of Sediment-1))
Diameter of Particle = (Self Cleansing Velocity/Chezy's Constant)^2/(Dimensional Constant*(Specific Gravity of Sediment-1))
Diameter of Particle = (1/(Dimensional Constant*(Specific Gravity of Sediment-1)))*((Self Cleansing Velocity*Rugosity Coefficient)/(Hydraulic Mean Depth)^(1/6))^2

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