Specific heat capacity 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%
✖Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.ⓘ Density of Fluid [ρ_fluid]			+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%
✖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 given Stanton Number [c]

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Formula

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Specific heat capacity of fluid flowing over flat plate given Stanton Number

Formula

`"c" = "h"_{"x"}/("ρ"_{"fluid"}*"St"*"u"_{"∞"})`

Example

`"0.014577kJ/kg*K"="500W/m²*K"/("1.225kg/m³"*"0.4"*"70m/s")`

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Specific heat capacity of fluid flowing over flat plate given Stanton Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Specific Heat Capacity = Local Heat Transfer Coefficient/(Density of Fluid*Stanton Number*Free Stream Velocity)
c = h_x/(ρ_fluid*St*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 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.
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.
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 of Fluid: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Stanton Number: 0.4 --> 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 = h_x/(ρ_fluid*St*u_∞) --> 500/(1.225*0.4*70)

Evaluating ... ...

c = 14.5772594752187

STEP 3: Convert Result to Output's Unit

14.5772594752187 Joule per Kilogram per K -->0.0145772594752187 Kilojoule per Kilogram per K (Check conversion here)

FINAL ANSWER

0.0145772594752187 ≈ 0.014577 Kilojoule per Kilogram per K <-- Specific Heat Capacity

(Calculation completed in 00.020 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 given Stanton Number

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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 given Stanton Number Formula

Specific Heat Capacity = Local Heat Transfer Coefficient/(Density of Fluid*Stanton Number*Free Stream Velocity)
c = h_x/(ρ_fluid*St*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 given Stanton Number?

Specific heat capacity of fluid flowing over flat plate given Stanton Number calculator uses Specific Heat Capacity = Local Heat Transfer Coefficient/(Density of Fluid*Stanton Number*Free Stream Velocity) to calculate the Specific Heat Capacity, The Specific heat capacity of fluid flowing over flat plate given Stanton Number formula calculates the specific heat capacity of the fluid flowing over a flat plate by using Reynolds analogy when there is Stanton Number given. Specific Heat Capacity is denoted by c symbol.

How to calculate Specific heat capacity of fluid flowing over flat plate given Stanton Number using this online calculator? To use this online calculator for Specific heat capacity of fluid flowing over flat plate given Stanton Number, enter Local Heat Transfer Coefficient (h_x), Density of Fluid (ρ_fluid), Stanton Number (St) & Free Stream Velocity (u_∞) and hit the calculate button. Here is how the Specific heat capacity of fluid flowing over flat plate given Stanton Number calculation can be explained with given input values -> 5.8E-5 = 500/(1.225*0.4*70).

FAQ

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

The Specific heat capacity of fluid flowing over flat plate given Stanton Number formula calculates the specific heat capacity of the fluid flowing over a flat plate by using Reynolds analogy when there is Stanton Number given and is represented as c = h_x/(ρ_fluid*St*u_∞) or Specific Heat Capacity = Local Heat Transfer Coefficient/(Density of Fluid*Stanton Number*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, Density of Fluid is defined as the mass of fluid per unit volume of the said fluid, The Stanton Number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid & 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 given Stanton Number?

The Specific heat capacity of fluid flowing over flat plate given Stanton Number formula calculates the specific heat capacity of the fluid flowing over a flat plate by using Reynolds analogy when there is Stanton Number given is calculated using Specific Heat Capacity = Local Heat Transfer Coefficient/(Density of Fluid*Stanton Number*Free Stream Velocity). To calculate Specific heat capacity of fluid flowing over flat plate given Stanton Number, you need Local Heat Transfer Coefficient (h_x), Density of Fluid (ρ_fluid), Stanton Number (St) & Free Stream Velocity (u_∞). With our tool, you need to enter the respective value for Local Heat Transfer Coefficient, Density of Fluid, Stanton Number & 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 of Fluid, Stanton Number & Free Stream Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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