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Friction Coefficient given Shear Stress at Wall Formula

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Friction Coefficient for the flow in ducts is the ratio of wall shearing stress and dynamic head of the stream. Check FAQs

C f = \frac{𝜏 w \cdot 2}{ρ Fluid \cdot ({u ∞}^{2})}

C_f - Friction Coefficient?𝜏_w - Shear Stress?ρ_Fluid - Density of Fluid?u_∞ - Free Stream Velocity?

Friction Coefficient given Shear Stress at Wall Example

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Here is how the Friction Coefficient given Shear Stress at Wall equation looks like with Values.

Here is how the Friction Coefficient given Shear Stress at Wall equation looks like with Units.

Here is how the Friction Coefficient given Shear Stress at Wall equation looks like.

0.0742 = \frac{5.5 \cdot 2}{1.225 \cdot (11^{2})}

0.0742 = \frac{5.5Pa \cdot 2}{1.225kg/m³ \cdot ({11m/s}^{2})}

0.0742 = \frac{5.5 \cdot 2}{1.225 \cdot (11^{2})}

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Friction Coefficient given Shear Stress at Wall Solution

Follow our step by step solution on how to calculate Friction Coefficient given Shear Stress at Wall?

FIRST Step Consider the formula

C f = \frac{𝜏 w \cdot 2}{ρ Fluid \cdot ({u ∞}^{2})}

Next Step Substitute values of Variables

∴

C f = \frac{5.5Pa \cdot 2}{1.225kg/m³ \cdot ({11m/s}^{2})}

Next Step Prepare to Evaluate

∴

C f = \frac{5.5 \cdot 2}{1.225 \cdot (11^{2})}

Next Step Evaluate

∴

C f = 0.0742115027829313

LAST Step Rounding Answer

∴

C f = 0.0742

Friction Coefficient given Shear Stress at Wall Formula Elements

Variables

Friction Coefficient

Friction Coefficient for the flow in ducts is the ratio of wall shearing stress and dynamic head of the stream.

Symbol: C_f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Friction Coefficient

Shear Stress

Shear Stress is given by shear force per unit area.

Symbol: 𝜏_w

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Shear Stress

Density of Fluid

Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.

Symbol: ρ_Fluid

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Fluid

Free Stream Velocity

Free Stream Velocity is defined as at some distance above the boundary the velocity reaches a constant value that is free stream velocity.

Symbol: u_∞

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Free Stream Velocity

Other formulas in Convection Heat Transfer category

Go Mass Flow Rate from Continuity Relation for One Dimensional Flow in Tube

ṁ = ρ Fluid \cdot A T \cdot u m

Go Mass Velocity

G = \frac{ṁ}{A T}

Go Mass Velocity given Mean Velocity

G = ρ Fluid \cdot u m

Go Reynolds Number given Mass Velocity

Re d = \frac{G \cdot d}{μ}

How to Evaluate Friction Coefficient given Shear Stress at Wall?

Friction Coefficient given Shear Stress at Wall evaluator uses Friction Coefficient = (Shear Stress*2)/(Density of Fluid*(Free Stream Velocity^2)) to evaluate the Friction Coefficient, The Friction Coefficient given Shear Stress at Wall formula is defined as the function of friction coefficient, density, and free stream velocity. When an external force acts on an object, It undergoes deformation. If the direction of the force is parallel to the plane of the object. The deformation will be along that plane. The stress experienced by the object here is shear stress or tangential stress. It arises when the force vector components parallel to the material's cross-sectional area. In the case of normal/longitudinal stress, The force vectors will be perpendicular to the cross-sectional area on which it acts. Friction Coefficient is denoted by C_f symbol.

How to evaluate Friction Coefficient given Shear Stress at Wall using this online evaluator? To use this online evaluator for Friction Coefficient given Shear Stress at Wall, enter Shear Stress (𝜏_w), Density of Fluid (ρ_Fluid) & Free Stream Velocity (u_∞) and hit the calculate button.

FAQs on Friction Coefficient given Shear Stress at Wall

What is the formula to find Friction Coefficient given Shear Stress at Wall?

The formula of Friction Coefficient given Shear Stress at Wall is expressed as Friction Coefficient = (Shear Stress*2)/(Density of Fluid*(Free Stream Velocity^2)). Here is an example- 0.074212 = (5.5*2)/(1.225*(11^2)).

How to calculate Friction Coefficient given Shear Stress at Wall?

With Shear Stress (𝜏_w), Density of Fluid (ρ_Fluid) & Free Stream Velocity (u_∞) we can find Friction Coefficient given Shear Stress at Wall using the formula - Friction Coefficient = (Shear Stress*2)/(Density of Fluid*(Free Stream Velocity^2)).

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