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Flow Velocity of Stream Formula

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The Velocity of Liquid refers to the speed at which the fluid moves through a pipe or channel. Check FAQs

v = (\frac{γ f}{4 \cdot μ}) \cdot dh /dx \cdot ({R inclined}^{2} - {d radial}^{2})

v - Velocity of Liquid?γ_f - Specific Weight of Liquid?μ - Dynamic Viscosity?dh_/dx - Piezometric Gradient?R_inclined - Inclined Pipes Radius?d_radial - Radial Distance?

Flow Velocity of Stream Example

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Here is how the Flow Velocity of Stream equation looks like with Values.

Here is how the Flow Velocity of Stream equation looks like with Units.

Here is how the Flow Velocity of Stream equation looks like.

615769.8529 = (\frac{9.81}{4 \cdot 10.2}) \cdot 10 \cdot ({10.5}^{2} - {9.2}^{2})

615769.8529m/s = (\frac{9.81kN/m³}{4 \cdot 10.2P}) \cdot 10 \cdot ({10.5m}^{2} - {9.2m}^{2})

615769.8529 = (\frac{9.81}{4 \cdot 10.2}) \cdot 10 \cdot ({10.5}^{2} - {9.2}^{2})

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Flow Velocity of Stream Solution

Follow our step by step solution on how to calculate Flow Velocity of Stream?

FIRST Step Consider the formula

v = (\frac{γ f}{4 \cdot μ}) \cdot dh /dx \cdot ({R inclined}^{2} - {d radial}^{2})

Next Step Substitute values of Variables

∴

v = (\frac{9.81kN/m³}{4 \cdot 10.2P}) \cdot 10 \cdot ({10.5m}^{2} - {9.2m}^{2})

Next Step Convert Units

∴

v = (\frac{9810N/m³}{4 \cdot 1.02Pa*s}) \cdot 10 \cdot ({10.5m}^{2} - {9.2m}^{2})

Next Step Prepare to Evaluate

∴

v = (\frac{9810}{4 \cdot 1.02}) \cdot 10 \cdot ({10.5}^{2} - {9.2}^{2})

Next Step Evaluate

∴

v = 615769.852941177m/s

LAST Step Rounding Answer

∴

v = 615769.8529m/s

Flow Velocity of Stream Formula Elements

Variables

Velocity of Liquid

The Velocity of Liquid refers to the speed at which the fluid moves through a pipe or channel.

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Liquid

Specific Weight of Liquid

The Specific Weight of Liquid refers to the weight per unit volume of that substance.

Symbol: γ_f

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Specific Weight of Liquid

Dynamic Viscosity

The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

Symbol: μ

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Piezometric Gradient

The Piezometric Gradient refers to the measure of the change in hydraulic head (or piezometric head) per unit distance in a given direction within a fluid system.

Symbol: dh_/dx

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Piezometric Gradient

Inclined Pipes Radius

The Inclined Pipes Radius refers to the distance from the center of the pipe’s cross-section to its inner wall.

Symbol: R_inclined

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inclined Pipes Radius

Radial Distance

The Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system.

Symbol: d_radial

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radial Distance

Other formulas in Laminar Flow Through Inclined Pipes category

Go Shear Stresses

𝜏 = γ f \cdot dh /dx \cdot \frac{d radial}{2}

Go Radius of Elemental Section of Pipe given Shear Stress

d radial = \frac{2 \cdot 𝜏}{γ f \cdot dh /dx}

Go Specific Weight of Fluid given Shear Stress

γ f = \frac{2 \cdot 𝜏}{d radial \cdot dh /dx}

Go Piezometric Gradient given Shear Stress

dh /dx = \frac{2 \cdot 𝜏}{γ f \cdot d radial}

How to Evaluate Flow Velocity of Stream?

Flow Velocity of Stream evaluator uses Velocity of Liquid = (Specific Weight of Liquid/(4*Dynamic Viscosity))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2) to evaluate the Velocity of Liquid, The Flow Velocity of Stream is defined as the flow of stream in pipe at a average rate in the discharge flow rate. Velocity of Liquid is denoted by v symbol.

How to evaluate Flow Velocity of Stream using this online evaluator? To use this online evaluator for Flow Velocity of Stream, enter Specific Weight of Liquid (γ_f), Dynamic Viscosity (μ), Piezometric Gradient (dh_/dx), Inclined Pipes Radius (R_inclined) & Radial Distance (d_radial) and hit the calculate button.

FAQs on Flow Velocity of Stream

What is the formula to find Flow Velocity of Stream?

The formula of Flow Velocity of Stream is expressed as Velocity of Liquid = (Specific Weight of Liquid/(4*Dynamic Viscosity))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2). Here is an example- 615769.9 = (9810/(4*1.02))*10*(10.5^2-9.2^2).

How to calculate Flow Velocity of Stream?

With Specific Weight of Liquid (γ_f), Dynamic Viscosity (μ), Piezometric Gradient (dh_/dx), Inclined Pipes Radius (R_inclined) & Radial Distance (d_radial) we can find Flow Velocity of Stream using the formula - Velocity of Liquid = (Specific Weight of Liquid/(4*Dynamic Viscosity))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2).

Can the Flow Velocity of Stream be negative?

No, the Flow Velocity of Stream, measured in Speed cannot be negative.

Which unit is used to measure Flow Velocity of Stream?

Flow Velocity of Stream is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Flow Velocity of Stream can be measured.

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Flow Velocity of Stream Formula

Flow Velocity of Stream Example

Flow Velocity of Stream Solution

Flow Velocity of Stream Formula Elements

Other formulas in Laminar Flow Through Inclined Pipes category

How to Evaluate Flow Velocity of Stream?

FAQs on Flow Velocity of Stream

Variable Name