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Density of Liquid given Shear Stress and Darcy Friction Factor Formula

GoDensity of Fluid given Friction Factor Formula

GoDensity of Liquid using Mean Velocity given Shear Stress with Friction Factor Formula

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The Density of Fluid refers to the mass per unit volume of the fluid, a fundamental property that indicates how much mass is contained in a given volume. Check FAQs

ρ Fluid = 8 \cdot \frac{𝜏}{f \cdot V mean \cdot V mean}

ρ_Fluid - Density of Fluid?𝜏 - Shear Stress?f - Darcy Friction Factor?V_mean - Mean Velocity?

Density of Liquid given Shear Stress and Darcy Friction Factor Example

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Here is how the Density of Liquid given Shear Stress and Darcy Friction Factor equation looks like with Values.

Here is how the Density of Liquid given Shear Stress and Darcy Friction Factor equation looks like with Units.

Here is how the Density of Liquid given Shear Stress and Darcy Friction Factor equation looks like.

1.4602 = 8 \cdot \frac{93.1}{5 \cdot 10.1 \cdot 10.1}

1.4602kg/m³ = 8 \cdot \frac{93.1Pa}{5 \cdot 10.1m/s \cdot 10.1m/s}

1.4602 = 8 \cdot \frac{93.1}{5 \cdot 10.1 \cdot 10.1}

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Density of Liquid given Shear Stress and Darcy Friction Factor Solution

Follow our step by step solution on how to calculate Density of Liquid given Shear Stress and Darcy Friction Factor?

FIRST Step Consider the formula

ρ Fluid = 8 \cdot \frac{𝜏}{f \cdot V mean \cdot V mean}

Next Step Substitute values of Variables

∴

ρ Fluid = 8 \cdot \frac{93.1Pa}{5 \cdot 10.1m/s \cdot 10.1m/s}

Next Step Prepare to Evaluate

∴

ρ Fluid = 8 \cdot \frac{93.1}{5 \cdot 10.1 \cdot 10.1}

Next Step Evaluate

∴

ρ Fluid = 1.46024899519655kg/m³

LAST Step Rounding Answer

∴

ρ Fluid = 1.4602kg/m³

Density of Liquid given Shear Stress and Darcy Friction Factor Formula Elements

Variables

Density of Fluid

The Density of Fluid refers to the mass per unit volume of the fluid, a fundamental property that indicates how much mass is contained in a given volume.

Symbol: ρ_Fluid

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Fluid

Shear Stress

The Shear Stress refers to the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Shear Stress

Darcy Friction Factor

The Darcy Friction Factor refers to the dimensionless quantity used in fluid mechanics to describe the frictional losses in pipe flow and open-channel flow.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Darcy Friction Factor

Mean Velocity

The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel.

Symbol: V_mean

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity

Other Formulas to find Density of Fluid

Go Density of Fluid given Friction Factor

ρ Fluid = μ \cdot \frac{64}{f \cdot D pipe \cdot V mean}

Go Density of Liquid using Mean Velocity given Shear Stress with Friction Factor

ρ Fluid = 8 \cdot \frac{𝜏}{f \cdot ({V mean}^{2})}

Other formulas in Darcy Weisbach Equation category

Go Length of Pipe given Head Loss due to Frictional Resistance

L p = \frac{h \cdot 2 \cdot [g] \cdot D pipe}{f \cdot V mean \cdot 2}

Go Head Loss due to Frictional Resistance

h = f \cdot L p \cdot \frac{{V mean}^{2}}{2 \cdot [g] \cdot D pipe}

Go Diameter of Pipe given Head Loss due to Frictional Resistance

D pipe = f \cdot L p \cdot \frac{{V mean}^{2}}{2 \cdot [g] \cdot h}

Go Dynamic Viscosity given Friction Factor

μ = \frac{f \cdot V mean \cdot D pipe \cdot ρ Fluid}{64}

How to Evaluate Density of Liquid given Shear Stress and Darcy Friction Factor?

Density of Liquid given Shear Stress and Darcy Friction Factor evaluator uses Density of Fluid = 8*Shear Stress/(Darcy Friction Factor*Mean Velocity*Mean Velocity) to evaluate the Density of Fluid, The Density of Liquid given Shear Stress and Darcy Friction Factor is defined as mass per unit volume of liquid flowing through the pipe given force per unit area exerted by the fluid parallel to the surface. Density of Fluid is denoted by ρ_Fluid symbol.

How to evaluate Density of Liquid given Shear Stress and Darcy Friction Factor using this online evaluator? To use this online evaluator for Density of Liquid given Shear Stress and Darcy Friction Factor, enter Shear Stress (𝜏), Darcy Friction Factor (f) & Mean Velocity (V_mean) and hit the calculate button.

FAQs on Density of Liquid given Shear Stress and Darcy Friction Factor

What is the formula to find Density of Liquid given Shear Stress and Darcy Friction Factor?

The formula of Density of Liquid given Shear Stress and Darcy Friction Factor is expressed as Density of Fluid = 8*Shear Stress/(Darcy Friction Factor*Mean Velocity*Mean Velocity). Here is an example- 1.460249 = 8*93.1/(5*10.1*10.1).

How to calculate Density of Liquid given Shear Stress and Darcy Friction Factor?

With Shear Stress (𝜏), Darcy Friction Factor (f) & Mean Velocity (V_mean) we can find Density of Liquid given Shear Stress and Darcy Friction Factor using the formula - Density of Fluid = 8*Shear Stress/(Darcy Friction Factor*Mean Velocity*Mean Velocity).

What are the other ways to Calculate Density of Fluid?

Here are the different ways to Calculate Density of Fluid-

Density of Fluid=Dynamic Viscosity*64/(Darcy Friction Factor*Diameter of Pipe*Mean Velocity)
Density of Fluid=8*Shear Stress/(Darcy Friction Factor*(Mean Velocity^2))

Can the Density of Liquid given Shear Stress and Darcy Friction Factor be negative?

No, the Density of Liquid given Shear Stress and Darcy Friction Factor, measured in Density cannot be negative.

Which unit is used to measure Density of Liquid given Shear Stress and Darcy Friction Factor?

Density of Liquid given Shear Stress and Darcy Friction Factor is usually measured using the Kilogram per Cubic Meter[kg/m³] for Density. Kilogram per Cubic Centimeter[kg/m³], Gram per Cubic Meter[kg/m³], Gram per Cubic Centimeter[kg/m³] are the few other units in which Density of Liquid given Shear Stress and Darcy Friction Factor can be measured.

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Density of Liquid given Shear Stress and Darcy Friction Factor Formula

​GoDensity of Fluid given Friction Factor Formula

​GoDensity of Liquid using Mean Velocity given Shear Stress with Friction Factor Formula

Density of Liquid given Shear Stress and Darcy Friction Factor Example

Density of Liquid given Shear Stress and Darcy Friction Factor Solution

Density of Liquid given Shear Stress and Darcy Friction Factor Formula Elements

Other Formulas to find Density of Fluid

Other formulas in Darcy Weisbach Equation category

How to Evaluate Density of Liquid given Shear Stress and Darcy Friction Factor?

FAQs on Density of Liquid given Shear Stress and Darcy Friction Factor

Variable Name

GoDensity of Fluid given Friction Factor Formula

GoDensity of Liquid using Mean Velocity given Shear Stress with Friction Factor Formula