Friction Coefficient given Shear Stress at Wall Calculator

✖Shear Stress is given by shear force per unit area.ⓘ Shear Stress [𝜏_w]			+10% -10%
✖Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.ⓘ Density of Fluid [ρ_Fluid]			+10% -10%
✖Free Stream Velocity is defined as at some distance above the boundary the velocity reaches a constant value that is free stream velocity.ⓘ Free Stream Velocity [u_∞]			+10% -10%

✖Friction Coefficient for the flow in ducts is the ratio of wall shearing stress and dynamic head of the stream.ⓘ Friction Coefficient given Shear Stress at Wall [C_f]

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Formula

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Friction Coefficient given Shear Stress at Wall

Formula

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

Example

0.074212 = \frac{5.5 Pa \cdot 2}{1.225 kg/m³ \cdot ({11 m/s}^{2})}

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Friction Coefficient given Shear Stress at Wall Solution

STEP 0: Pre-Calculation Summary

Formula Used

Friction Coefficient = (Shear Stress*2)/(Density of Fluid*(Free Stream Velocity^2))
C_f = (𝜏_w*2)/(ρ_Fluid*(u_∞^2))
This formula uses 4 Variables

Variables Used

Friction Coefficient - Friction Coefficient for the flow in ducts is the ratio of wall shearing stress and dynamic head of the stream.
Shear Stress - (Measured in Pascal) - Shear Stress is given by shear force per unit area.
Density of Fluid - (Measured in Kilogram per Cubic Meter) - Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.
Free Stream Velocity - (Measured in Meter per Second) - Free Stream Velocity is defined as at some distance above the boundary the velocity reaches a constant value that is free stream velocity.

STEP 1: Convert Input(s) to Base Unit

Shear Stress: 5.5 Pascal --> 5.5 Pascal No Conversion Required
Density of Fluid: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Free Stream Velocity: 11 Meter per Second --> 11 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_f = (𝜏_w*2)/(ρ_Fluid*(u_∞^2)) --> (5.5*2)/(1.225*(11^2))

Evaluating ... ...

C_f = 0.0742115027829313

STEP 3: Convert Result to Output's Unit

0.0742115027829313 --> No Conversion Required

FINAL ANSWER

0.0742115027829313 ≈ 0.074212 <-- Friction Coefficient

(Calculation completed in 00.004 seconds)

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< Convection Heat Transfer Calculators

Reynolds Number given Mass Velocity

Go Reynolds Number in Tube = (Mass Velocity*Diameter of Tube)/(Dynamic Viscosity)

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

Go Mass Flow Rate = Density of Fluid*Cross Sectional Area*Mean velocity

Mass Velocity

Go Mass Velocity = Mass Flow Rate/Cross Sectional Area

Mass Velocity given Mean Velocity

Go Mass Velocity = Density of Fluid*Mean velocity

Friction Coefficient given Shear Stress at Wall Formula

Friction Coefficient = (Shear Stress*2)/(Density of Fluid*(Free Stream Velocity^2))
C_f = (𝜏_w*2)/(ρ_Fluid*(u_∞^2))

What is Convection?

Convection is the process of heat transfer by the bulk movement of molecules within fluids such as gases and liquids. The initial heat transfer between the object and the fluid takes place through conduction, but the bulk heat transfer happens due to the motion of the fluid. Convection is the process of heat transfer in fluids by the actual motion of matter. It happens in liquids and gases. It may be natural or forced. It involves a bulk transfer of portions of the fluid.

What are the Types of Convection?

There are two types of convection, and they are: Natural convection: When convection takes place due to buoyant force as there is a difference in densities caused by the difference in temperatures it is known as natural convection. Examples of natural convection are oceanic winds. Forced convection: When external sources such as fans and pumps are used for creating induced convection, it is known as forced convection. Examples of forced convection are using water heaters or geysers for instant heating of water and using a fan on a hot summer day.

How to Calculate Friction Coefficient given Shear Stress at Wall?

Friction Coefficient given Shear Stress at Wall calculator uses Friction Coefficient = (Shear Stress*2)/(Density of Fluid*(Free Stream Velocity^2)) to calculate 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 calculate Friction Coefficient given Shear Stress at Wall using this online calculator? To use this online calculator 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. Here is how the Friction Coefficient given Shear Stress at Wall calculation can be explained with given input values -> 0.074212 = (5.5*2)/(1.225*(11^2)).

FAQ

What is Friction Coefficient given Shear Stress at Wall?

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 and is represented as C_f = (𝜏_w*2)/(ρ_Fluid*(u_∞^2)) or Friction Coefficient = (Shear Stress*2)/(Density of Fluid*(Free Stream Velocity^2)). Shear Stress is given by shear force per unit area, Density of Fluid is defined as the mass of fluid per unit volume of the said fluid & Free Stream Velocity is defined as at some distance above the boundary the velocity reaches a constant value that is free stream velocity.

How to calculate Friction Coefficient given Shear Stress at Wall?

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 is calculated using Friction Coefficient = (Shear Stress*2)/(Density of Fluid*(Free Stream Velocity^2)). To calculate Friction Coefficient given Shear Stress at Wall, you need Shear Stress (𝜏_w), Density of Fluid (ρ_Fluid) & Free Stream Velocity (u_∞). With our tool, you need to enter the respective value for Shear Stress, Density of Fluid & Free Stream Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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