Local skin friction coefficient Calculator

✖Local heat transfer coefficient at a particular point on the heat-transfer surface, equal to the local heat flux at this point divided by the local temperature drop.ⓘ Local Heat Transfer Coefficient [h_x]			+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%
✖Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.ⓘ Specific Heat Capacity [c]			+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%

✖Local Skin-Friction Coefficient specifies the fraction of the local dynamic pressure.ⓘ Local skin friction coefficient [C_f]

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Formula

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Local skin friction coefficient

Formula

`"C"_{"f"} = (2*"h"_{"x"})/("ρ"_{"fluid"}*"c"*"u"_{"∞"})`

Example

`"0.002787"=(2*"500W/m²*K")/("1.225kg/m³"*"4.184kJ/kg*K"*"70m/s")`

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Local skin friction coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Local Skin-Friction Coefficient = (2*Local Heat Transfer Coefficient)/(Density of Fluid*Specific Heat Capacity*Free Stream Velocity)
C_f = (2*h_x)/(ρ_fluid*c*u_∞)
This formula uses 5 Variables

Variables Used

Local Skin-Friction Coefficient - Local Skin-Friction Coefficient specifies the fraction of the local dynamic pressure.
Local Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - Local heat transfer coefficient at a particular point on the heat-transfer surface, equal to the local heat flux at this point divided by the local temperature drop.
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.
Specific Heat Capacity - (Measured in Joule per Kilogram per K) - Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.
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

Local Heat Transfer Coefficient: 500 Watt per Square Meter per Kelvin --> 500 Watt per Square Meter per Kelvin No Conversion Required
Density of Fluid: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Specific Heat Capacity: 4.184 Kilojoule per Kilogram per K --> 4184 Joule per Kilogram per K (Check conversion here)
Free Stream Velocity: 70 Meter per Second --> 70 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_f = (2*h_x)/(ρ_fluid*c*u_∞) --> (2*500)/(1.225*4184*70)

Evaluating ... ...

C_f = 0.00278723890539554

STEP 3: Convert Result to Output's Unit

0.00278723890539554 --> No Conversion Required

FINAL ANSWER

0.00278723890539554 ≈ 0.002787 <-- Local Skin-Friction Coefficient

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » External flow » Flow over Flat Plate » Reynolds Analogy » Local skin friction coefficient

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< 12 Reynolds Analogy Calculators

Local skin friction coefficient

Go Local Skin-Friction Coefficient = (2*Local Heat Transfer Coefficient)/(Density of Fluid*Specific Heat Capacity*Free Stream Velocity)

Local heat transfer coefficient

Go Local Heat Transfer Coefficient = (Local Skin-Friction Coefficient*Density of Fluid*Specific Heat Capacity*Free Stream Velocity)/2

Specific heat capacity of fluid flowing over flat plate

Go Specific Heat Capacity = (2*Local Heat Transfer Coefficient)/(Density*Local Skin-Friction Coefficient*Free Stream Velocity)

Free stream velocity of fluid flowing over flat plate

Go Free Stream Velocity = (2*Local Heat Transfer Coefficient)/(Density*Specific Heat Capacity*Local Skin-Friction Coefficient)

Density of fluid flowing over flat plate

Go Density = (2*Local Heat Transfer Coefficient)/(Local Skin-Friction Coefficient*Specific Heat Capacity*Free Stream Velocity)

Specific heat capacity of fluid flowing over flat plate given Stanton Number

Go Specific Heat Capacity = Local Heat Transfer Coefficient/(Density of Fluid*Stanton Number*Free Stream Velocity)

Free stream velocity of fluid flowing over flat plate given Stanton Number

Go Free Stream Velocity = Local Heat Transfer Coefficient/(Density of Fluid*Specific Heat Capacity*Stanton Number)

Stanton Number given local heat transfer coefficient and fluid properties

Go Stanton Number = Local Heat Transfer Coefficient/(Density of Fluid*Specific Heat Capacity*Free Stream Velocity)

Density of fluid flowing over flat plate given Stanton Number

Go Density of Fluid = Local Heat Transfer Coefficient/(Stanton Number*Specific Heat Capacity*Free Stream Velocity)

Local heat transfer coefficient given Stanton Number

Go Local Heat Transfer Coefficient = (Stanton Number*Density of Fluid*Specific Heat Capacity*Free Stream Velocity)

Stanton Number given local skin friction coefficient

Go Stanton Number = Local Skin-Friction Coefficient/2

Local skin friction coefficient given Stanton Number

Go Local Skin-Friction Coefficient = 2*Stanton Number

Local skin friction coefficient Formula

Local Skin-Friction Coefficient = (2*Local Heat Transfer Coefficient)/(Density of Fluid*Specific Heat Capacity*Free Stream Velocity)
C_f = (2*h_x)/(ρ_fluid*c*u_∞)

What is Reynolds analogy?

Reynolds analogy describes a relationship between heat transfer and friction coefficients when a fluid is flowing over the surface of a flat plate or inside the tube. Reynolds analogy can be used for both laminar as well as for turbulent flow it is misconceptualized that it can only be used for turbulent flow.

How to Calculate Local skin friction coefficient?

Local skin friction coefficient calculator uses Local Skin-Friction Coefficient = (2*Local Heat Transfer Coefficient)/(Density of Fluid*Specific Heat Capacity*Free Stream Velocity) to calculate the Local Skin-Friction Coefficient, The local skin friction coefficient formula calculates the skin friction coefficient at a point that is at some distance from the leading edge of the flat plate using the Reynolds analogy. Local Skin-Friction Coefficient is denoted by C_f symbol.

How to calculate Local skin friction coefficient using this online calculator? To use this online calculator for Local skin friction coefficient, enter Local Heat Transfer Coefficient (h_x), Density of Fluid (ρ_fluid), Specific Heat Capacity (c) & Free Stream Velocity (u_∞) and hit the calculate button. Here is how the Local skin friction coefficient calculation can be explained with given input values -> 0.002787 = (2*500)/(1.225*4184*70).

FAQ

What is Local skin friction coefficient?

The local skin friction coefficient formula calculates the skin friction coefficient at a point that is at some distance from the leading edge of the flat plate using the Reynolds analogy and is represented as C_f = (2*h_x)/(ρ_fluid*c*u_∞) or Local Skin-Friction Coefficient = (2*Local Heat Transfer Coefficient)/(Density of Fluid*Specific Heat Capacity*Free Stream Velocity). Local heat transfer coefficient at a particular point on the heat-transfer surface, equal to the local heat flux at this point divided by the local temperature drop, Density of Fluid is defined as the mass of fluid per unit volume of the said fluid, Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount & 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 Local skin friction coefficient?

The local skin friction coefficient formula calculates the skin friction coefficient at a point that is at some distance from the leading edge of the flat plate using the Reynolds analogy is calculated using Local Skin-Friction Coefficient = (2*Local Heat Transfer Coefficient)/(Density of Fluid*Specific Heat Capacity*Free Stream Velocity). To calculate Local skin friction coefficient, you need Local Heat Transfer Coefficient (h_x), Density of Fluid (ρ_fluid), Specific Heat Capacity (c) & Free Stream Velocity (u_∞). With our tool, you need to enter the respective value for Local Heat Transfer Coefficient, Density of Fluid, Specific Heat Capacity & Free Stream Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Local Skin-Friction Coefficient?

In this formula, Local Skin-Friction Coefficient uses Local Heat Transfer Coefficient, Density of Fluid, Specific Heat Capacity & Free Stream Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Local Skin-Friction Coefficient = 2*Stanton Number

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