Density 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%
✖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%
✖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%

✖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 given Stanton Number [ρ_{fluid fp}]

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Density of fluid flowing over flat plate given Stanton Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Density of Fluid Flowing over Flat Plate = Local Heat Transfer Coefficient/(Stanton Number*Specific Heat Capacity*Free Stream Velocity)
ρ_{fluid fp} = h_x/(St*c*u_∞)
This formula uses 5 Variables

Variables Used

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.
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.
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.
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
Stanton Number: 0.4 --> 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

ρ_{fluid fp} = h_x/(St*c*u_∞) --> 500/(0.4*4184*70)

Evaluating ... ...

ρ_{fluid fp} = 0.00426795957388692

STEP 3: Convert Result to Output's Unit

0.00426795957388692 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

0.00426795957388692 ≈ 0.004268 Kilogram per Cubic Meter <-- Density of Fluid Flowing over Flat Plate

(Calculation completed in 00.020 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

Density of fluid flowing over flat plate given Stanton Number Formula

LaTeX Go

Density of Fluid Flowing over Flat Plate = Local Heat Transfer Coefficient/(Stanton Number*Specific Heat Capacity*Free Stream Velocity)
ρ_{fluid fp} = h_x/(St*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 Density of fluid flowing over flat plate given Stanton Number?

Density of fluid flowing over flat plate given Stanton Number calculator uses Density of Fluid Flowing over Flat Plate = Local Heat Transfer Coefficient/(Stanton Number*Specific Heat Capacity*Free Stream Velocity) to calculate the Density of Fluid Flowing over Flat Plate, Density of fluid flowing over flat plate given Stanton Number formula is defined as a measure of the mass per unit volume of a fluid flowing over a flat plate, which is an important parameter in understanding the behavior of fluids in various engineering and scientific applications. Density of Fluid Flowing over Flat Plate is denoted by ρ_{fluid fp} symbol.

How to calculate Density of fluid flowing over flat plate given Stanton Number using this online calculator? To use this online calculator for Density of fluid flowing over flat plate given Stanton Number, enter Local Heat Transfer Coefficient (h_x), Stanton Number (St), Specific Heat Capacity (c) & Free Stream Velocity (u_∞) and hit the calculate button. Here is how the Density of fluid flowing over flat plate given Stanton Number calculation can be explained with given input values -> 0.004268 = 500/(0.4*4184*70).

FAQ

What is Density of fluid flowing over flat plate given Stanton Number?

Density of fluid flowing over flat plate given Stanton Number formula is defined as a measure of the mass per unit volume of a fluid flowing over a flat plate, which is an important parameter in understanding the behavior of fluids in various engineering and scientific applications and is represented as ρ_{fluid fp} = h_x/(St*c*u_∞) or Density of Fluid Flowing over Flat Plate = Local Heat Transfer Coefficient/(Stanton Number*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, The Stanton Number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the 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 Density of fluid flowing over flat plate given Stanton Number?

Density of fluid flowing over flat plate given Stanton Number formula is defined as a measure of the mass per unit volume of a fluid flowing over a flat plate, which is an important parameter in understanding the behavior of fluids in various engineering and scientific applications is calculated using Density of Fluid Flowing over Flat Plate = Local Heat Transfer Coefficient/(Stanton Number*Specific Heat Capacity*Free Stream Velocity). To calculate Density of fluid flowing over flat plate given Stanton Number, you need Local Heat Transfer Coefficient (h_x), Stanton Number (St), Specific Heat Capacity (c) & Free Stream Velocity (u_∞). With our tool, you need to enter the respective value for Local Heat Transfer Coefficient, Stanton Number, 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.

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