Drag Force Exerted by Flow Calculator

✖Factor depending on shape of particles.ⓘ Factor Depending on Shape of Particles [K₁]			+10% -10%
✖Coefficient of drag exerted by flow is the dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.ⓘ Coefficient of Drag Exerted by Flow [C_D]			+10% -10%
✖Diameter of particle Usually particle size is designated as the average diameter in microns.ⓘ Diameter of Particle [d]			+10% -10%
✖Density of flowing fluid the weight of a substance for a specific volume.ⓘ Density of Flowing Fluid [ρ_w]			+10% -10%
✖Velocity flow at bottom of channel the vector field that is used to describe fluid motion in a mathematical manner.ⓘ Velocity Flow at Bottom of Channel [V^°]			+10% -10%

✖Drag force exerted by flow proportional to the velocity for low-speed flow and the squared velocity for high speed flow.ⓘ Drag Force Exerted by Flow [F₁]

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Drag Force Exerted by Flow

Formula

`"F"_{"1"} = "K"_{"1"}*("C"_{"D"})*("d"^2)*(0.5)*("ρ"_{"w"})*("V"^{"° "})`

Example

`"0.015228N"="1.20"*("0.47")*(("6mm")^2)*(0.5)*("1000kg/m³")*("1.5m/s")`

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Drag Force Exerted by Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Drag Force Exerted by Flow = Factor Depending on Shape of Particles*(Coefficient of Drag Exerted by Flow)*(Diameter of Particle^2)*(0.5)*(Density of Flowing Fluid)*(Velocity Flow at Bottom of Channel)
F₁ = K₁*(C_D)*(d^2)*(0.5)*(ρ_w)*(V^°)
This formula uses 6 Variables

Variables Used

Drag Force Exerted by Flow - (Measured in Newton) - Drag force exerted by flow proportional to the velocity for low-speed flow and the squared velocity for high speed flow.
Factor Depending on Shape of Particles - Factor depending on shape of particles.
Coefficient of Drag Exerted by Flow - Coefficient of drag exerted by flow is the dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.
Diameter of Particle - (Measured in Meter) - Diameter of particle Usually particle size is designated as the average diameter in microns.
Density of Flowing Fluid - (Measured in Kilogram per Cubic Meter) - Density of flowing fluid the weight of a substance for a specific volume.
Velocity Flow at Bottom of Channel - (Measured in Meter per Second) - Velocity flow at bottom of channel the vector field that is used to describe fluid motion in a mathematical manner.

STEP 1: Convert Input(s) to Base Unit

Factor Depending on Shape of Particles: 1.2 --> No Conversion Required
Coefficient of Drag Exerted by Flow: 0.47 --> No Conversion Required
Diameter of Particle: 6 Millimeter --> 0.006 Meter (Check conversion here)
Density of Flowing Fluid: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Velocity Flow at Bottom of Channel: 1.5 Meter per Second --> 1.5 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F₁ = K₁*(C_D)*(d^2)*(0.5)*(ρ_w)*(V^°) --> 1.2*(0.47)*(0.006^2)*(0.5)*(1000)*(1.5)

Evaluating ... ...

F₁ = 0.015228

STEP 3: Convert Result to Output's Unit

0.015228 Newton --> No Conversion Required

FINAL ANSWER

0.015228 Newton <-- Drag Force Exerted by Flow

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Irrigation Engineering » Canal Design » Design of Non-Scouring Stable Channels having Protected Side Slopes (Shield's Entrainmnet Method) » Drag Force Exerted by Flow

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< 5 Design of Non-Scouring Stable Channels having Protected Side Slopes (Shield's Entrainmnet Method) Calculators

Drag Force Exerted by Flow

Go Drag Force Exerted by Flow = Factor Depending on Shape of Particles*(Coefficient of Drag Exerted by Flow)*(Diameter of Particle^2)*(0.5)*(Density of Flowing Fluid)*(Velocity Flow at Bottom of Channel)

Unprotected Side Slopes Shear Stress Required to Move Single Grain

Go Critical Shear Stress on Horizontal Bed = Resisting Shear against Movement of Particle*sqrt(1-(sin(Side Slope)^2/sin(Angle of Repose of Soil)^2))

Resisting Shear against Movement of Particle

Go Resisting Shear against Movement of Particle = 0.056*Unit Weight of Water*Diameter of Particle*(Specific Gravity of Particles-1)

General Relation between Resisting Shear and Diameter of Particle

Go Resisting Shear against Movement of Particle = 0.155+(0.409*(Diameter of Particle^2)/sqrt(1+0.77*Diameter of Particle^2))

Manning's Rugosity Coefficient according to Stickler's Formula

Go Rugosity Coefficient = (1/24)*(Diameter of Particle)^(1/6)

Drag Force Exerted by Flow Formula

What does Drag Force depend on?

The drag force depends on the speed, size, and shape of the object. It also depends on the density, viscosity and compressibility of the fluid. The coefficient CD is called the drag coefficient, a dimensionless number that is a property of the object.

How do you calculate Drag Force Fluid Flow?

The drag force fluid is calculated as
Fs = 6πrηv, where r is the radius of the object, η is the viscosity of the fluid, and v is the object's velocity.

How to Calculate Drag Force Exerted by Flow?

Drag Force Exerted by Flow calculator uses Drag Force Exerted by Flow = Factor Depending on Shape of Particles*(Coefficient of Drag Exerted by Flow)*(Diameter of Particle^2)*(0.5)*(Density of Flowing Fluid)*(Velocity Flow at Bottom of Channel) to calculate the Drag Force Exerted by Flow, The Drag Force Exerted by Flow formula is defined as proportional to the velocity for low-speed flow and the squared velocity for high-speed flow. Drag Force Exerted by Flow is denoted by F₁ symbol.

How to calculate Drag Force Exerted by Flow using this online calculator? To use this online calculator for Drag Force Exerted by Flow, enter Factor Depending on Shape of Particles (K₁), Coefficient of Drag Exerted by Flow (C_D), Diameter of Particle (d), Density of Flowing Fluid (ρ_w) & Velocity Flow at Bottom of Channel (V^°) and hit the calculate button. Here is how the Drag Force Exerted by Flow calculation can be explained with given input values -> 0.015228 = 1.2*(0.47)*(0.006^2)*(0.5)*(1000)*(1.5).

FAQ

What is Drag Force Exerted by Flow?

The Drag Force Exerted by Flow formula is defined as proportional to the velocity for low-speed flow and the squared velocity for high-speed flow and is represented as F₁ = K₁*(C_D)*(d^2)*(0.5)*(ρ_w)*(V^°) or Drag Force Exerted by Flow = Factor Depending on Shape of Particles*(Coefficient of Drag Exerted by Flow)*(Diameter of Particle^2)*(0.5)*(Density of Flowing Fluid)*(Velocity Flow at Bottom of Channel). Factor depending on shape of particles, Coefficient of drag exerted by flow is the dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water, Diameter of particle Usually particle size is designated as the average diameter in microns, Density of flowing fluid the weight of a substance for a specific volume & Velocity flow at bottom of channel the vector field that is used to describe fluid motion in a mathematical manner.

How to calculate Drag Force Exerted by Flow?

The Drag Force Exerted by Flow formula is defined as proportional to the velocity for low-speed flow and the squared velocity for high-speed flow is calculated using Drag Force Exerted by Flow = Factor Depending on Shape of Particles*(Coefficient of Drag Exerted by Flow)*(Diameter of Particle^2)*(0.5)*(Density of Flowing Fluid)*(Velocity Flow at Bottom of Channel). To calculate Drag Force Exerted by Flow, you need Factor Depending on Shape of Particles (K₁), Coefficient of Drag Exerted by Flow (C_D), Diameter of Particle (d), Density of Flowing Fluid (ρ_w) & Velocity Flow at Bottom of Channel (V^°). With our tool, you need to enter the respective value for Factor Depending on Shape of Particles, Coefficient of Drag Exerted by Flow, Diameter of Particle, Density of Flowing Fluid & Velocity Flow at Bottom of Channel 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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