Density 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%
✖Local Skin-Friction Coefficient specifies the fraction of the local dynamic pressure.ⓘ Local Skin-Friction Coefficient [C_f]			+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%

✖The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.ⓘ Density of fluid flowing over flat plate [ρ]

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Formula

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Density of fluid flowing over flat plate

Formula

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

Example

`"2.731494kg/m³"=(2*"500W/m²*K")/("0.00125"*"4.184kJ/kg*K"*"70m/s")`

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Density of fluid flowing over flat plate Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Density - (Measured in Kilogram per Cubic Meter) - The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
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.
Local Skin-Friction Coefficient - Local Skin-Friction Coefficient specifies the fraction of the local dynamic pressure.
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
Local Skin-Friction Coefficient: 0.00125 --> 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 = (2*h_x)/(C_f*c*u_∞) --> (2*500)/(0.00125*4184*70)

Evaluating ... ...

ρ = 2.73149412728763

STEP 3: Convert Result to Output's Unit

2.73149412728763 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

2.73149412728763 ≈ 2.731494 Kilogram per Cubic Meter <-- Density

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » External flow » Flow over Flat Plate » Reynolds Analogy » Density of fluid flowing over flat plate

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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

Density of fluid flowing over flat plate Formula

Density = (2*Local Heat Transfer Coefficient)/(Local Skin-Friction Coefficient*Specific Heat Capacity*Free Stream Velocity)
ρ = (2*h_x)/(C_f*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?

Density of fluid flowing over flat plate calculator uses Density = (2*Local Heat Transfer Coefficient)/(Local Skin-Friction Coefficient*Specific Heat Capacity*Free Stream Velocity) to calculate the Density, The density of fluid flowing over flat plate formula calculates the density of fluid that is flowing over a flat plate by using the Reynolds analogy. Density is denoted by ρ symbol.

How to calculate Density of fluid flowing over flat plate using this online calculator? To use this online calculator for Density of fluid flowing over flat plate, enter Local Heat Transfer Coefficient (h_x), Local Skin-Friction Coefficient (C_f), Specific Heat Capacity (c) & Free Stream Velocity (u_∞) and hit the calculate button. Here is how the Density of fluid flowing over flat plate calculation can be explained with given input values -> 0.034144 = (2*500)/(0.00125*4184*70).

FAQ

What is Density of fluid flowing over flat plate?

The density of fluid flowing over flat plate formula calculates the density of fluid that is flowing over a flat plate by using the Reynolds analogy and is represented as ρ = (2*h_x)/(C_f*c*u_∞) or Density = (2*Local Heat Transfer Coefficient)/(Local Skin-Friction Coefficient*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, Local Skin-Friction Coefficient specifies the fraction of the local dynamic pressure, 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?

The density of fluid flowing over flat plate formula calculates the density of fluid that is flowing over a flat plate by using the Reynolds analogy is calculated using Density = (2*Local Heat Transfer Coefficient)/(Local Skin-Friction Coefficient*Specific Heat Capacity*Free Stream Velocity). To calculate Density of fluid flowing over flat plate, you need Local Heat Transfer Coefficient (h_x), Local Skin-Friction Coefficient (C_f), Specific Heat Capacity (c) & Free Stream Velocity (u_∞). With our tool, you need to enter the respective value for Local Heat Transfer Coefficient, Local Skin-Friction Coefficient, 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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