Drag Force Exerted by Flowing Water Solution

STEP 0: Pre-Calculation Summary
Formula Used
Drag Force = Unit Weight of Fluid*(Specific Gravity of Sediment-1)*(1-Rugosity Coefficient)*Volume per Unit Area*sin(Angle of Inclination of Plane to Horizontal)
FD = γw*(G-1)*(1-n)*t*sin(αi)
This formula uses 1 Functions, 6 Variables
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
Variables Used
Drag Force - (Measured in Newton) - Drag Force is the resisting force experienced by an object moving through a fluid.
Unit Weight of Fluid - (Measured in Newton per Cubic Meter) - Unit Weight of Fluid refers to the weight per unit volume, often expressed in N/m³ or lb/ft³ and varies with fluid density (for water 9810N/m3).
Specific Gravity of Sediment - Specific Gravity of Sediment is the ratio of sediment particle density to the density of water, indicating its heaviness.
Rugosity Coefficient - The Rugosity Coefficient, also known as the Manning's n, quantifies surface roughness in channels, affecting flow velocity and resistance.
Volume per Unit Area - (Measured in Meter) - Volume per Unit Area refers to function of diameter of particle for single grain as an inverse measure of surface area for drag or friction.
Angle of Inclination of Plane to Horizontal - (Measured in Radian) - Angle of Inclination of Plane to Horizontal is formed by the inclination of one plane to another; measured in degrees or radians.
STEP 1: Convert Input(s) to Base Unit
Unit Weight of Fluid: 9810 Newton per Cubic Meter --> 9810 Newton per Cubic Meter No Conversion Required
Specific Gravity of Sediment: 1.3 --> No Conversion Required
Rugosity Coefficient: 0.015 --> No Conversion Required
Volume per Unit Area: 4.78 Millimeter --> 0.00478 Meter (Check conversion ​here)
Angle of Inclination of Plane to Horizontal: 60 Degree --> 1.0471975511964 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
FD = γw*(G-1)*(1-n)*t*sin(αi) --> 9810*(1.3-1)*(1-0.015)*0.00478*sin(1.0471975511964)
Evaluating ... ...
FD = 12.0001043036211
STEP 3: Convert Result to Output's Unit
12.0001043036211 Newton --> No Conversion Required
FINAL ANSWER
12.0001043036211 12.0001 Newton <-- Drag Force
(Calculation completed in 00.004 seconds)

Credits

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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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Drag Force Calculators

Thickness of Sediment given Drag Force
​ LaTeX ​ Go Volume per Unit Area = (Drag Force/(Unit Weight of Fluid*(Specific Gravity of Sediment-1)*(1-Rugosity Coefficient)*sin(Angle of Inclination of Plane to Horizontal)))
Unit Weight of Water given Drag Force
​ LaTeX ​ Go Unit Weight of Fluid = (Drag Force/((Specific Gravity of Sediment-1)*(1-Rugosity Coefficient)*Volume per Unit Area*sin(Angle of Inclination of Plane to Horizontal)))
Rugosity Coefficient given Drag Force
​ LaTeX ​ Go Rugosity Coefficient = 1-(Drag Force/(Unit Weight of Fluid*(Specific Gravity of Sediment-1)*Volume per Unit Area*sin(Angle of Inclination of Plane to Horizontal)))
Drag Force Exerted by Flowing Water
​ LaTeX ​ Go Drag Force = Unit Weight of Fluid*(Specific Gravity of Sediment-1)*(1-Rugosity Coefficient)*Volume per Unit Area*sin(Angle of Inclination of Plane to Horizontal)

Drag Force Exerted by Flowing Water Formula

​LaTeX ​Go
Drag Force = Unit Weight of Fluid*(Specific Gravity of Sediment-1)*(1-Rugosity Coefficient)*Volume per Unit Area*sin(Angle of Inclination of Plane to Horizontal)
FD = γw*(G-1)*(1-n)*t*sin(αi)

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 Drag Force Exerted by Flowing Water?

Drag Force Exerted by Flowing Water calculator uses Drag Force = Unit Weight of Fluid*(Specific Gravity of Sediment-1)*(1-Rugosity Coefficient)*Volume per Unit Area*sin(Angle of Inclination of Plane to Horizontal) to calculate the Drag Force, The Drag Force Exerted by Flowing Water is the resistance force caused by the motion of a body through a fluid, such as water or air. Drag Force is denoted by FD symbol.

How to calculate Drag Force Exerted by Flowing Water using this online calculator? To use this online calculator for Drag Force Exerted by Flowing Water, enter Unit Weight of Fluid w), Specific Gravity of Sediment (G), Rugosity Coefficient (n), Volume per Unit Area (t) & Angle of Inclination of Plane to Horizontal i) and hit the calculate button. Here is how the Drag Force Exerted by Flowing Water calculation can be explained with given input values -> 12.0001 = 9810*(1.3-1)*(1-0.015)*0.00478*sin(1.0471975511964).

FAQ

What is Drag Force Exerted by Flowing Water?
The Drag Force Exerted by Flowing Water is the resistance force caused by the motion of a body through a fluid, such as water or air and is represented as FD = γw*(G-1)*(1-n)*t*sin(αi) or Drag Force = Unit Weight of Fluid*(Specific Gravity of Sediment-1)*(1-Rugosity Coefficient)*Volume per Unit Area*sin(Angle of Inclination of Plane to Horizontal). Unit Weight of Fluid refers to the weight per unit volume, often expressed in N/m³ or lb/ft³ and varies with fluid density (for water 9810N/m3), Specific Gravity of Sediment is the ratio of sediment particle density to the density of water, indicating its heaviness, The Rugosity Coefficient, also known as the Manning's n, quantifies surface roughness in channels, affecting flow velocity and resistance, Volume per Unit Area refers to function of diameter of particle for single grain as an inverse measure of surface area for drag or friction & Angle of Inclination of Plane to Horizontal is formed by the inclination of one plane to another; measured in degrees or radians.
How to calculate Drag Force Exerted by Flowing Water?
The Drag Force Exerted by Flowing Water is the resistance force caused by the motion of a body through a fluid, such as water or air is calculated using Drag Force = Unit Weight of Fluid*(Specific Gravity of Sediment-1)*(1-Rugosity Coefficient)*Volume per Unit Area*sin(Angle of Inclination of Plane to Horizontal). To calculate Drag Force Exerted by Flowing Water, you need Unit Weight of Fluid w), Specific Gravity of Sediment (G), Rugosity Coefficient (n), Volume per Unit Area (t) & Angle of Inclination of Plane to Horizontal i). With our tool, you need to enter the respective value for Unit Weight of Fluid, Specific Gravity of Sediment, Rugosity Coefficient, Volume per Unit Area & Angle of Inclination of Plane to Horizontal 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 Drag Force?
In this formula, Drag Force uses Unit Weight of Fluid, Specific Gravity of Sediment, Rugosity Coefficient, Volume per Unit Area & Angle of Inclination of Plane to Horizontal. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Drag Force = Unit Weight of Fluid*Hydraulic Mean Depth*Bed Slope of a Sewer
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