Free stream velocity of fluid flowing over flat plate given Stanton Number 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 Flowing over Flat Plate is defined as the mass of fluid per unit volume of the said fluid.ⓘ Density of Fluid Flowing over Flat Plate [ρ_{fluid fp}]			+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%
✖The Stanton Number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid.ⓘ Stanton Number [St]			+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 given Stanton Number [u_∞]

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

STEP 0: Pre-Calculation Summary

Formula Used

Free Stream Velocity = Local Heat Transfer Coefficient/(Density of Fluid Flowing over Flat Plate*Specific Heat Capacity*Stanton Number)
u_∞ = h_x/(ρ_{fluid fp}*c*St)
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 Flowing over Flat Plate - (Measured in Kilogram per Cubic Meter) - Density of Fluid Flowing over Flat Plate 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.
Stanton Number - The Stanton Number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid.

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 Flowing over Flat Plate: 0.004268 Kilogram per Cubic Meter --> 0.004268 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)
Stanton Number: 0.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

u_∞ = h_x/(ρ_{fluid fp}*c*St) --> 500/(0.004268*4184*0.4)

Evaluating ... ...

u_∞ = 69.9993369662803

STEP 3: Convert Result to Output's Unit

69.9993369662803 Meter per Second --> No Conversion Required

FINAL ANSWER

69.9993369662803 ≈ 69.99934 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 given Stanton Number Formula

LaTeX Go

Free Stream Velocity = Local Heat Transfer Coefficient/(Density of Fluid Flowing over Flat Plate*Specific Heat Capacity*Stanton Number)
u_∞ = h_x/(ρ_{fluid fp}*c*St)

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 given Stanton Number?

Free stream velocity of fluid flowing over flat plate given Stanton Number calculator uses Free Stream Velocity = Local Heat Transfer Coefficient/(Density of Fluid Flowing over Flat Plate*Specific Heat Capacity*Stanton Number) to calculate the Free Stream Velocity, Free stream velocity of fluid flowing over flat plate given Stanton Number formula is defined as the velocity of the fluid flowing over a flat plate, which is a crucial parameter in understanding the convective heat transfer and fluid flow characteristics in various engineering applications. Free Stream Velocity is denoted by u_∞ symbol.

How to calculate Free stream velocity of fluid flowing over flat plate given Stanton Number using this online calculator? To use this online calculator for Free stream velocity of fluid flowing over flat plate given Stanton Number, enter Local Heat Transfer Coefficient (h_x), Density of Fluid Flowing over Flat Plate (ρ_{fluid fp}), Specific Heat Capacity (c) & Stanton Number (St) and hit the calculate button. Here is how the Free stream velocity of fluid flowing over flat plate given Stanton Number calculation can be explained with given input values -> 0.243883 = 500/(0.004268*4184*0.4).

FAQ

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

Free stream velocity of fluid flowing over flat plate given Stanton Number formula is defined as the velocity of the fluid flowing over a flat plate, which is a crucial parameter in understanding the convective heat transfer and fluid flow characteristics in various engineering applications and is represented as u_∞ = h_x/(ρ_{fluid fp}*c*St) or Free Stream Velocity = Local Heat Transfer Coefficient/(Density of Fluid Flowing over Flat Plate*Specific Heat Capacity*Stanton Number). 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 Flowing over Flat Plate 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 & The Stanton Number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid.

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

Free stream velocity of fluid flowing over flat plate given Stanton Number formula is defined as the velocity of the fluid flowing over a flat plate, which is a crucial parameter in understanding the convective heat transfer and fluid flow characteristics in various engineering applications is calculated using Free Stream Velocity = Local Heat Transfer Coefficient/(Density of Fluid Flowing over Flat Plate*Specific Heat Capacity*Stanton Number). To calculate Free stream velocity of fluid flowing over flat plate given Stanton Number, you need Local Heat Transfer Coefficient (h_x), Density of Fluid Flowing over Flat Plate (ρ_{fluid fp}), Specific Heat Capacity (c) & Stanton Number (St). With our tool, you need to enter the respective value for Local Heat Transfer Coefficient, Density of Fluid Flowing over Flat Plate, Specific Heat Capacity & Stanton Number 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 Flowing over Flat Plate, Specific Heat Capacity & Stanton Number. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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