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Drag Force Exerted by Flow Formula

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Drag force exerted by flow proportional to the velocity for low-speed flow and the squared velocity for high speed flow. Check FAQs

F 1 = K 1 \cdot (C D) \cdot (d^{2}) \cdot (0.5) \cdot (ρ w) \cdot (V °)

F₁ - Drag Force Exerted by Flow?K₁ - Factor Depending on Shape of Particles?C_D - Coefficient of Drag Exerted by Flow?d - Diameter of Particle?ρ_w - Density of Flowing Fluid?V^° - Velocity Flow at Bottom of Channel?

Drag Force Exerted by Flow Example

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Here is how the Drag Force Exerted by Flow equation looks like with Values.

Here is how the Drag Force Exerted by Flow equation looks like with Units.

Here is how the Drag Force Exerted by Flow equation looks like.

0.0152 = 1.2 \cdot (0.47) \cdot (6^{2}) \cdot (0.5) \cdot (1000) \cdot (1.5)

0.0152N = 1.2 \cdot (0.47) \cdot ({6mm}^{2}) \cdot (0.5) \cdot (1000kg/m³) \cdot (1.5m/s)

0.0152 = 1.2 \cdot (0.47) \cdot (6^{2}) \cdot (0.5) \cdot (1000) \cdot (1.5)

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Drag Force Exerted by Flow Solution

Follow our step by step solution on how to calculate Drag Force Exerted by Flow?

FIRST Step Consider the formula

F 1 = K 1 \cdot (C D) \cdot (d^{2}) \cdot (0.5) \cdot (ρ w) \cdot (V °)

Next Step Substitute values of Variables

∴

F 1 = 1.2 \cdot (0.47) \cdot ({6mm}^{2}) \cdot (0.5) \cdot (1000kg/m³) \cdot (1.5m/s)

Next Step Convert Units

∴

F 1 = 1.2 \cdot (0.47) \cdot ({0.006m}^{2}) \cdot (0.5) \cdot (1000kg/m³) \cdot (1.5m/s)

Next Step Prepare to Evaluate

∴

F 1 = 1.2 \cdot (0.47) \cdot ({0.006}^{2}) \cdot (0.5) \cdot (1000) \cdot (1.5)

Next Step Evaluate

∴

F 1 = 0.015228N

LAST Step Rounding Answer

∴

F 1 = 0.0152N

Drag Force Exerted by Flow Formula Elements

Variables

Drag Force Exerted by Flow

Drag force exerted by flow proportional to the velocity for low-speed flow and the squared velocity for high speed flow.

Symbol: F₁

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Drag Force Exerted by Flow

Open Variable

Factor Depending on Shape of Particles

Factor depending on shape of particles.

Symbol: K₁

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Factor Depending on Shape of Particles

Open Variable

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.

Symbol: C_D

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient of Drag Exerted by Flow

Open Variable

Diameter of Particle

Diameter of particle Usually particle size is designated as the average diameter in microns.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Particle

Open Variable

Density of Flowing Fluid

Density of flowing fluid the weight of a substance for a specific volume.

Symbol: ρ_w

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Flowing Fluid

Open Variable

Velocity Flow at Bottom of Channel

Velocity flow at bottom of channel the vector field that is used to describe fluid motion in a mathematical manner.

Symbol: V^°

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity Flow at Bottom of Channel

Open Variable

Other formulas in Design of Non Scouring Stable Channels having Protected Side Slopes (Shield's Entrainmnet Method) category

Go Resisting Shear against Movement of Particle

ζ c = 0.056 \cdot Γ w \cdot d \cdot (S s - 1)

Go General Relation between Resisting Shear and Diameter of Particle

ζ c = 0.155 + (0.409 \cdot \frac{d^{2}}{\sqrt{1 + 0.77 \cdot d^{2}}})

Go Unprotected Side Slopes Shear Stress Required to Move Single Grain

ζc' = ζ c \cdot \sqrt{1 - (\frac{{\sin (θ)}^{2}}{{\sin (Φ)}^{2}})}

Go Manning's Rugosity Coefficient according to Stickler's Formula

n = (\frac{1}{24}) \cdot {(d)}^{\frac{1}{6}}

How to Evaluate Drag Force Exerted by Flow?

Drag Force Exerted by Flow evaluator 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 evaluate 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 evaluate Drag Force Exerted by Flow using this online evaluator? To use this online evaluator 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.

FAQs on Drag Force Exerted by Flow

What is the formula to find Drag Force Exerted by Flow?

The formula of Drag Force Exerted by Flow is expressed as 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). Here is an example- 0.015228 = 1.2*(0.47)*(0.006^2)*(0.5)*(1000)*(1.5).

How to calculate Drag Force Exerted by Flow?

With 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^°) we can find Drag Force Exerted by Flow using the formula - 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).

Can the Drag Force Exerted by Flow be negative?

Yes, the Drag Force Exerted by Flow, measured in Force can be negative.

Which unit is used to measure Drag Force Exerted by Flow?

Drag Force Exerted by Flow is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Drag Force Exerted by Flow can be measured.

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