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*Specific Heat Capacity*Stanton Number)
u = hx/(ρfluid*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 - (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.
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: 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)
Stanton Number: 0.4 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
u = hx/(ρfluid*c*St) --> 500/(1.225*4184*0.4)
Evaluating ... ...
u = 0.243883404222109
STEP 3: Convert Result to Output's Unit
0.243883404222109 Meter per Second --> No Conversion Required
FINAL ANSWER
0.243883404222109 0.243883 Meter per Second <-- Free Stream Velocity
(Calculation completed in 00.004 seconds)

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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

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

Free Stream Velocity = Local Heat Transfer Coefficient/(Density of Fluid*Specific Heat Capacity*Stanton Number)
u = hx/(ρfluid*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*Specific Heat Capacity*Stanton Number) to calculate the Free Stream Velocity, Free stream velocity of fluid flowing over flat plate given Stanton Number formula calculates the velocity of fluid flowing over a flat plate by using Reynolds analogy when Stanton Number is given. 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 (hx), Density of Fluid fluid), 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 -> 0.975534 = 500/(1.225*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 calculates the velocity of fluid flowing over a flat plate by using Reynolds analogy when Stanton Number is given and is represented as u = hx/(ρfluid*c*St) or Free Stream Velocity = Local Heat Transfer Coefficient/(Density of Fluid*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 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 calculates the velocity of fluid flowing over a flat plate by using Reynolds analogy when Stanton Number is given is calculated using Free Stream Velocity = Local Heat Transfer Coefficient/(Density of Fluid*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 (hx), Density of Fluid fluid), 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, 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, 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*Specific Heat Capacity*Local Skin-Friction Coefficient)
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