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%

✖Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.ⓘ Density of fluid flowing over flat plate [ρ_fluid]

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Density of fluid flowing over flat plate Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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_fluid = (2*h_x)/(C_f*c*u_∞) --> (2*500)/(0.00125*4184*70)

Evaluating ... ...

ρ_fluid = 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 of Fluid

(Calculation completed in 00.008 seconds)

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

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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 Formula

LaTeX Go

Density of Fluid = (2*Local Heat Transfer Coefficient)/(Local Skin-Friction Coefficient*Specific Heat Capacity*Free Stream Velocity)
ρ_fluid = (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 of Fluid = (2*Local Heat Transfer Coefficient)/(Local Skin-Friction Coefficient*Specific Heat Capacity*Free Stream Velocity) to calculate the Density of Fluid, Density of fluid flowing over flat plate formula is defined as a measure of the mass per unit volume of a fluid flowing over a flat plate, which is an essential parameter in understanding the behavior of fluids in various engineering applications. Density of Fluid is denoted by ρ_fluid 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 -> 2.731494 = (2*500)/(0.00125*4184*70).

FAQ

What is Density of fluid flowing over flat plate?

Density of fluid flowing over flat plate formula is defined as a measure of the mass per unit volume of a fluid flowing over a flat plate, which is an essential parameter in understanding the behavior of fluids in various engineering applications and is represented as ρ_fluid = (2*h_x)/(C_f*c*u_∞) or Density of Fluid = (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?

Density of fluid flowing over flat plate formula is defined as a measure of the mass per unit volume of a fluid flowing over a flat plate, which is an essential parameter in understanding the behavior of fluids in various engineering applications is calculated using Density of Fluid = (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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