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)
ρfluid = (2*hx)/(Cf*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
ρfluid = (2*hx)/(Cf*c*u) --> (2*500)/(0.00125*4184*70)
Evaluating ... ...
ρfluid = 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 00.004 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

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)
ρfluid = (2*hx)/(Cf*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 ρfluid 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 (hx), Local Skin-Friction Coefficient (Cf), 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 ρfluid = (2*hx)/(Cf*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 (hx), Local Skin-Friction Coefficient (Cf), 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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