Specific heat capacity 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%
✖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 [ρ]			+10% -10%
✖Local Skin-Friction Coefficient specifies the fraction of the local dynamic pressure.ⓘ Local Skin-Friction Coefficient [C_f]			+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%

✖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 of fluid flowing over flat plate [c]

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Formula

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Specific heat capacity of fluid flowing over flat plate

Formula

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

Example

`"0.011463kJ/kg*K"=(2*"500W/m²*K")/("997kg/m³"*"0.00125"*"70m/s")`

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Specific heat capacity of fluid flowing over flat plate Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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 - (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 Skin-Friction Coefficient - Local Skin-Friction Coefficient specifies the fraction of the local dynamic pressure.
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
Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Local Skin-Friction Coefficient: 0.00125 --> No Conversion Required
Free Stream Velocity: 70 Meter per Second --> 70 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c = (2*h_x)/(ρ*C_f*u_∞) --> (2*500)/(997*0.00125*70)

Evaluating ... ...

c = 11.4629603094999

STEP 3: Convert Result to Output's Unit

11.4629603094999 Joule per Kilogram per K -->0.0114629603094999 Kilojoule per Kilogram per K (Check conversion here)

FINAL ANSWER

0.0114629603094999 ≈ 0.011463 Kilojoule per Kilogram per K <-- Specific Heat Capacity

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » External flow » Flow over Flat Plate » Reynolds Analogy » Specific heat capacity 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

Specific heat capacity of fluid flowing over flat plate Formula

Specific Heat Capacity = (2*Local Heat Transfer Coefficient)/(Density*Local Skin-Friction Coefficient*Free Stream Velocity)
c = (2*h_x)/(ρ*C_f*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 Specific heat capacity of fluid flowing over flat plate?

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

How to calculate Specific heat capacity of fluid flowing over flat plate using this online calculator? To use this online calculator for Specific heat capacity of fluid flowing over flat plate, enter Local Heat Transfer Coefficient (h_x), Density (ρ), Local Skin-Friction Coefficient (C_f) & Free Stream Velocity (u_∞) and hit the calculate button. Here is how the Specific heat capacity of fluid flowing over flat plate calculation can be explained with given input values -> 1.4E-7 = (2*500)/(997*0.00125*70).

FAQ

What is Specific heat capacity of fluid flowing over flat plate?

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

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

In this formula, Specific Heat Capacity uses Local Heat Transfer Coefficient, Density, Local Skin-Friction Coefficient & Free Stream Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Specific Heat Capacity = Local Heat Transfer Coefficient/(Density of Fluid*Stanton Number*Free Stream Velocity)

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