Specific Gravity of Sediment given Self Cleansing Velocity and Rugosity Coefficient Solution

STEP 0: Pre-Calculation Summary
Formula Used
Specific Gravity of Sediment = (1/(Dimensional Constant*Diameter of Particle))*((Self Cleansing Velocity*Rugosity Coefficient)/(Hydraulic Mean Depth)^(1/6))^2+1
G = (1/(k*d'))*((vs*n)/(m)^(1/6))^2+1
This formula uses 6 Variables
Variables Used
Specific Gravity of Sediment - Specific Gravity of Sediment is the ratio of sediment particle density to the density of water, indicating its heaviness.
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).
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.
Rugosity Coefficient - The Rugosity Coefficient, also known as the Manning's n, quantifies surface roughness in channels, affecting flow velocity and resistance.
Hydraulic Mean Depth - (Measured in Meter) - The Hydraulic Mean Depth refers to the cross-sectional area of flow divided by the wetted perimeter, used to analyze fluid flow in channels.
STEP 1: Convert Input(s) to Base Unit
Dimensional Constant: 0.04 --> No Conversion Required
Diameter of Particle: 4.8 Millimeter --> 0.0048 Meter (Check conversion ​here)
Self Cleansing Velocity: 0.114 Meter per Second --> 0.114 Meter per Second No Conversion Required
Rugosity Coefficient: 0.015 --> No Conversion Required
Hydraulic Mean Depth: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
G = (1/(k*d'))*((vs*n)/(m)^(1/6))^2+1 --> (1/(0.04*0.0048))*((0.114*0.015)/(10)^(1/6))^2+1
Evaluating ... ...
G = 1.00706899474394
STEP 3: Convert Result to Output's Unit
1.00706899474394 --> No Conversion Required
FINAL ANSWER
1.00706899474394 1.007069 <-- Specific Gravity of Sediment
(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Meerut Institute of Engineering and Technology (MIET), Meerut
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Specific Gravity of Sediment Calculators

Specific Gravity of Sediment given Drag Force
​ LaTeX ​ Go Specific Gravity of Sediment = (Drag Force/(Unit Weight of Fluid*(1-Rugosity Coefficient)*Volume per Unit Area*sin(Angle of Inclination of Plane to Horizontal)))+1
Specific Gravity of Sediment given Friction Factor
​ LaTeX ​ Go Specific Gravity of Sediment = ((Self Cleansing Velocity)^2/((8*[g]*Dimensional Constant*Diameter of Particle)/Friction Factor))+1
Specific Gravity of Sediment given Self Cleaning Invert Slope
​ LaTeX ​ Go Specific Gravity of Sediment = (Self Cleaning Invert Slope/((Dimensional Constant/Hydraulic Mean Depth)*Diameter of Particle))+1
Specific Gravity of Sediment given Self Cleansing Velocity
​ LaTeX ​ Go Specific Gravity of Sediment = ((Self Cleansing Velocity/Chezy's Constant)^2/(Diameter of Particle*Dimensional Constant))+1

Specific Gravity of Sediment given Self Cleansing Velocity and Rugosity Coefficient Formula

​LaTeX ​Go
Specific Gravity of Sediment = (1/(Dimensional Constant*Diameter of Particle))*((Self Cleansing Velocity*Rugosity Coefficient)/(Hydraulic Mean Depth)^(1/6))^2+1
G = (1/(k*d'))*((vs*n)/(m)^(1/6))^2+1

What is rugosity coefficient ?

The rugosity coefficient, often represented by Manning's n, quantifies the roughness or irregularity of a channel or pipe's interior surface, affecting fluid flow. This coefficient influences the velocity, discharge, and energy loss in hydraulic systems. It varies based on material, surface texture, and the presence of obstructions. Accurate determination of the rugosity coefficient is essential for predicting flow behavior, designing efficient water conveyance systems, and ensuring proper drainage or sewage management.

How to Calculate Specific Gravity of Sediment given Self Cleansing Velocity and Rugosity Coefficient?

Specific Gravity of Sediment given Self Cleansing Velocity and Rugosity Coefficient calculator uses Specific Gravity of Sediment = (1/(Dimensional Constant*Diameter of Particle))*((Self Cleansing Velocity*Rugosity Coefficient)/(Hydraulic Mean Depth)^(1/6))^2+1 to calculate the Specific Gravity of Sediment, The Specific Gravity of Sediment given Self Cleansing Velocity and Rugosity Coefficient is defined as the ratio of sediment particle density to the density of water, indicating its heaviness. Specific Gravity of Sediment is denoted by G symbol.

How to calculate Specific Gravity of Sediment given Self Cleansing Velocity and Rugosity Coefficient using this online calculator? To use this online calculator for Specific Gravity of Sediment given Self Cleansing Velocity and Rugosity Coefficient, enter Dimensional Constant (k), Diameter of Particle (d'), Self Cleansing Velocity (vs), Rugosity Coefficient (n) & Hydraulic Mean Depth (m) and hit the calculate button. Here is how the Specific Gravity of Sediment given Self Cleansing Velocity and Rugosity Coefficient calculation can be explained with given input values -> 1.007069 = (1/(0.04*0.0048))*((0.114*0.015)/(10)^(1/6))^2+1.

FAQ

What is Specific Gravity of Sediment given Self Cleansing Velocity and Rugosity Coefficient?
The Specific Gravity of Sediment given Self Cleansing Velocity and Rugosity Coefficient is defined as the ratio of sediment particle density to the density of water, indicating its heaviness and is represented as G = (1/(k*d'))*((vs*n)/(m)^(1/6))^2+1 or Specific Gravity of Sediment = (1/(Dimensional Constant*Diameter of Particle))*((Self Cleansing Velocity*Rugosity Coefficient)/(Hydraulic Mean Depth)^(1/6))^2+1. 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), The Diameter of Particle is the straight-line distance across its widest point, typically measured in micrometers or millimeters, 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, The Rugosity Coefficient, also known as the Manning's n, quantifies surface roughness in channels, affecting flow velocity and resistance & The Hydraulic Mean Depth refers to the cross-sectional area of flow divided by the wetted perimeter, used to analyze fluid flow in channels.
How to calculate Specific Gravity of Sediment given Self Cleansing Velocity and Rugosity Coefficient?
The Specific Gravity of Sediment given Self Cleansing Velocity and Rugosity Coefficient is defined as the ratio of sediment particle density to the density of water, indicating its heaviness is calculated using Specific Gravity of Sediment = (1/(Dimensional Constant*Diameter of Particle))*((Self Cleansing Velocity*Rugosity Coefficient)/(Hydraulic Mean Depth)^(1/6))^2+1. To calculate Specific Gravity of Sediment given Self Cleansing Velocity and Rugosity Coefficient, you need Dimensional Constant (k), Diameter of Particle (d'), Self Cleansing Velocity (vs), Rugosity Coefficient (n) & Hydraulic Mean Depth (m). With our tool, you need to enter the respective value for Dimensional Constant, Diameter of Particle, Self Cleansing Velocity, Rugosity Coefficient & Hydraulic Mean Depth 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 Specific Gravity of Sediment?
In this formula, Specific Gravity of Sediment uses Dimensional Constant, Diameter of Particle, Self Cleansing Velocity, Rugosity Coefficient & Hydraulic Mean Depth. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Specific Gravity of Sediment = (Drag Force/(Unit Weight of Fluid*(1-Rugosity Coefficient)*Volume per Unit Area*sin(Angle of Inclination of Plane to Horizontal)))+1
  • Specific Gravity of Sediment = (Self Cleaning Invert Slope/((Dimensional Constant/Hydraulic Mean Depth)*Diameter of Particle))+1
  • Specific Gravity of Sediment = ((Self Cleansing Velocity/Chezy's Constant)^2/(Diameter of Particle*Dimensional Constant))+1
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