Free stream velocity of fluid flowing over flat plate 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%
✖Local Skin-Friction Coefficient specifies the fraction of the local dynamic pressure.ⓘ Local Skin-Friction Coefficient [C_f]			+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 of fluid flowing over flat plate [u_∞]

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Free stream velocity of fluid flowing over flat plate Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Local Skin-Friction Coefficient - Local Skin-Friction Coefficient specifies the fraction of the local dynamic pressure.

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: 2.731494 Kilogram per Cubic Meter --> 2.731494 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)
Local Skin-Friction Coefficient: 0.00125 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

u_∞ = (2*h_x)/(ρ_fluid*c*C_f) --> (2*500)/(2.731494*4184*0.00125)

Evaluating ... ...

u_∞ = 70.0000032620001

STEP 3: Convert Result to Output's Unit

70.0000032620001 Meter per Second --> No Conversion Required

FINAL ANSWER

70.0000032620001 ≈ 70 Meter per Second <-- Free Stream Velocity

(Calculation completed in 00.004 seconds)

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< Reynolds Analogy Calculators

Free stream velocity of fluid flowing over flat plate

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

Density of fluid flowing over flat plate

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

Local skin friction coefficient

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

Local heat transfer coefficient

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

Free stream velocity of fluid flowing over flat plate Formula

LaTeX Go

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

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 Free stream velocity of fluid flowing over flat plate?

Free stream velocity of fluid flowing over flat plate calculator uses Free Stream Velocity = (2*Local Heat Transfer Coefficient)/(Density of Fluid*Specific Heat Capacity*Local Skin-Friction Coefficient) to calculate the Free Stream Velocity, Free stream velocity of fluid flowing over flat plate formula is defined as the velocity of the fluid approaching the flat plate, which is a crucial parameter in understanding the flow behavior and boundary layer formation over the plate. Free Stream Velocity is denoted by u_∞ symbol.

How to calculate Free stream velocity of fluid flowing over flat plate using this online calculator? To use this online calculator for Free stream velocity of fluid flowing over flat plate, enter Local Heat Transfer Coefficient (h_x), Density of Fluid (ρ_fluid), Specific Heat Capacity (c) & Local Skin-Friction Coefficient (C_f) and hit the calculate button. Here is how the Free stream velocity of fluid flowing over flat plate calculation can be explained with given input values -> 70 = (2*500)/(2.731494*4184*0.00125).

FAQ

What is Free stream velocity of fluid flowing over flat plate?

Free stream velocity of fluid flowing over flat plate formula is defined as the velocity of the fluid approaching the flat plate, which is a crucial parameter in understanding the flow behavior and boundary layer formation over the plate and is represented as u_∞ = (2*h_x)/(ρ_fluid*c*C_f) or Free Stream Velocity = (2*Local Heat Transfer Coefficient)/(Density of Fluid*Specific Heat Capacity*Local Skin-Friction Coefficient). 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 & Local Skin-Friction Coefficient specifies the fraction of the local dynamic pressure.

How to calculate Free stream velocity of fluid flowing over flat plate?

Free stream velocity of fluid flowing over flat plate formula is defined as the velocity of the fluid approaching the flat plate, which is a crucial parameter in understanding the flow behavior and boundary layer formation over the plate is calculated using Free Stream Velocity = (2*Local Heat Transfer Coefficient)/(Density of Fluid*Specific Heat Capacity*Local Skin-Friction Coefficient). To calculate Free stream velocity of fluid flowing over flat plate, you need Local Heat Transfer Coefficient (h_x), Density of Fluid (ρ_fluid), Specific Heat Capacity (c) & Local Skin-Friction Coefficient (C_f). With our tool, you need to enter the respective value for Local Heat Transfer Coefficient, Density of Fluid, Specific Heat Capacity & Local Skin-Friction Coefficient 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 Free Stream Velocity?

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

Free Stream Velocity = Local Heat Transfer Coefficient/(Density of Fluid Flowing over Flat Plate*Specific Heat Capacity*Stanton Number)

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