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Shear Stress given Friction Factor and Density Formula

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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. Check FAQs

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

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

Shear Stress given Friction Factor and Density Example

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

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

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

78.1014 = 1.225 \cdot 5 \cdot 10.1 \cdot \frac{10.1}{8}

78.1014Pa = 1.225kg/m³ \cdot 5 \cdot 10.1m/s \cdot \frac{10.1m/s}{8}

78.1014 = 1.225 \cdot 5 \cdot 10.1 \cdot \frac{10.1}{8}

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Shear Stress given Friction Factor and Density Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

𝜏 = 1.225kg/m³ \cdot 5 \cdot 10.1m/s \cdot \frac{10.1m/s}{8}

Next Step Prepare to Evaluate

∴

𝜏 = 1.225 \cdot 5 \cdot 10.1 \cdot \frac{10.1}{8}

Next Step Evaluate

∴

𝜏 = 78.10140625Pa

LAST Step Rounding Answer

∴

𝜏 = 78.1014Pa

Shear Stress given Friction Factor and Density Formula Elements

Variables

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

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

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 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 Shear Stress given Friction Factor and Density?

Shear Stress given Friction Factor and Density evaluator uses Shear Stress = Density of Fluid*Darcy Friction Factor*Mean Velocity*Mean Velocity/8 to evaluate the Shear Stress, The Shear Stress given Friction Factor and Density formula is defined as stress or resistance offered to the fluid due to friction. Shear Stress is denoted by 𝜏 symbol.

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

FAQs on Shear Stress given Friction Factor and Density

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

The formula of Shear Stress given Friction Factor and Density is expressed as Shear Stress = Density of Fluid*Darcy Friction Factor*Mean Velocity*Mean Velocity/8. Here is an example- 78.10141 = 1.225*5*10.1*10.1/8.

How to calculate Shear Stress given Friction Factor and Density?

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

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

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

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

Shear Stress given Friction Factor and Density is usually measured using the Pascal[Pa] for Stress. Newton per Square Meter[Pa], Newton per Square Millimeter[Pa], Kilonewton per Square Meter[Pa] are the few other units in which Shear Stress given Friction Factor and Density can be measured.

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Shear Stress given Friction Factor and Density Formula

Shear Stress given Friction Factor and Density Example

Shear Stress given Friction Factor and Density Solution

Shear Stress given Friction Factor and Density Formula Elements

Other formulas in Darcy Weisbach Equation category

How to Evaluate Shear Stress given Friction Factor and Density?

FAQs on Shear Stress given Friction Factor and Density

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