Specific Heat at Constant Pressure for Transient Flow Calculator

✖Transient Prandtl Number is the prattle number of the flow in when the laminar flow changes transition flow.ⓘ Transient Prandtl Number [Pr_T]			+10% -10%
✖Transition thermal conductivity is the thermal conductivity of the fluid during transition of laminar to turbulent flow.ⓘ Transition Thermal Conductivity [k_T]			+10% -10%
✖Eddy viscosity is the proportionality factor describing the turbulent transfer of energy as a result of moving eddies, giving rise to tangential stresses.ⓘ Eddy Viscosity [μ_T]			+10% -10%

✖Molar Specific Heat Capacity at Constant Pressure, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure.ⓘ Specific Heat at Constant Pressure for Transient Flow [C_{p molar}]

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Formula

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Specific Heat at Constant Pressure for Transient Flow

Formula

`"C"_{"p molar"} = ("Pr"_{"T"}*"k"_{"T"})/"μ"_{"T"}`

Example

`"134.4J/K*mol"=("2.4"*"112W/(m*K)")/"20P"`

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Specific Heat at Constant Pressure for Transient Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Molar Specific Heat Capacity at Constant Pressure = (Transient Prandtl Number*Transition Thermal Conductivity)/Eddy Viscosity
C_{p molar} = (Pr_T*k_T)/μ_T
This formula uses 4 Variables

Variables Used

Molar Specific Heat Capacity at Constant Pressure - (Measured in Joule Per Kelvin Per Mole) - Molar Specific Heat Capacity at Constant Pressure, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure.
Transient Prandtl Number - Transient Prandtl Number is the prattle number of the flow in when the laminar flow changes transition flow.
Transition Thermal Conductivity - (Measured in Watt per Meter per K) - Transition thermal conductivity is the thermal conductivity of the fluid during transition of laminar to turbulent flow.
Eddy Viscosity - (Measured in Pascal Second) - Eddy viscosity is the proportionality factor describing the turbulent transfer of energy as a result of moving eddies, giving rise to tangential stresses.

STEP 1: Convert Input(s) to Base Unit

Transient Prandtl Number: 2.4 --> No Conversion Required
Transition Thermal Conductivity: 112 Watt per Meter per K --> 112 Watt per Meter per K No Conversion Required
Eddy Viscosity: 20 Poise --> 2 Pascal Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_{p molar} = (Pr_T*k_T)/μ_T --> (2.4*112)/2

Evaluating ... ...

C_{p molar} = 134.4

STEP 3: Convert Result to Output's Unit

134.4 Joule Per Kelvin Per Mole --> No Conversion Required

FINAL ANSWER

134.4 Joule Per Kelvin Per Mole <-- Molar Specific Heat Capacity at Constant Pressure

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Flat Plate for Viscous Flow Case » Hypersonic Transition » Specific Heat at Constant Pressure for Transient Flow

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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< 16 Hypersonic Transition Calculators

Boundary-Layer Momentum Thickness using Reynolds Number at Transition Point

Go Boundary-layer momentum thickness for transition = (Reynolds Number*Static Viscosity)/(Static Velocity*Static Density)

Static Density Equation using Boundary-Layer Momentum Thickness

Go Static Density = (Reynolds Number*Static Viscosity)/(Static Velocity*Boundary-layer momentum thickness for transition)

Static Velocity using Boundary-Layer Momentum Thickness

Go Static Velocity = (Reynolds Number*Static Viscosity)/(Static Density*Boundary-layer momentum thickness for transition)

Static Viscosity Equation using Boundary-Layer Momentum Thickness

Go Static Viscosity = (Static Density*Static Velocity*Boundary-layer momentum thickness for transition)/Reynolds Number

Reynolds Number Equation using Boundary-Layer Momentum Thickness

Go Reynolds Number = (Static Density*Static Velocity*Boundary-layer momentum thickness for transition)/Static Viscosity

Static Velocity at Transition Point

Go Static Velocity = (Transition Reynolds Number*Static Viscosity)/(Static Density*Location Transition Point)

Static Density at Transition Point

Go Static Density = (Transition Reynolds Number*Static Viscosity)/(Static Velocity*Location Transition Point)

Location of Transition Point

Go Location Transition Point = (Transition Reynolds Number*Static Viscosity)/(Static Velocity*Static Density)

Static Viscosity at Transition Point

Go Static Viscosity = (Static Density*Static Velocity*Location Transition Point)/Transition Reynolds Number

Transition Reynolds Number

Go Transition Reynolds Number = (Static Density*Static Velocity*Location Transition Point)/Static Viscosity

Specific Heat at Constant Pressure for Transient Flow

Go Molar Specific Heat Capacity at Constant Pressure = (Transient Prandtl Number*Transition Thermal Conductivity)/Eddy Viscosity

Prandtl Number of Transition Flow

Go Transient Prandtl Number = (Eddy Viscosity*Molar Specific Heat Capacity at Constant Pressure)/Transition Thermal Conductivity

Eddy Viscosity Calculation

Go Eddy Viscosity = (Transition Thermal Conductivity*Transient Prandtl Number)/Molar Specific Heat Capacity at Constant Pressure

Thermal Conductivity of Transition Flow

Go Transition Thermal Conductivity = (Eddy Viscosity*Specific Heat Capacity)/Transient Prandtl Number

Local Mach Number using Reynolds Number Equation at Transition Region

Go Local Mach Number = Boundary-layer Momentum Reynolds number/100

Reynolds Number Equation using Local Mach Number

Go Boundary-layer Momentum Reynolds number = 100*Local Mach Number

Specific Heat at Constant Pressure for Transient Flow Formula

Molar Specific Heat Capacity at Constant Pressure = (Transient Prandtl Number*Transition Thermal Conductivity)/Eddy Viscosity
C_{p molar} = (Pr_T*k_T)/μ_T

What is Prandtl number?

The Prandtl Number is a dimensionless number approximating the ratio of momentum diffusivity to thermal diffusivity. The Prandtl Number is often used in heat transfer and free and forced convection calculations. It depends on the fluid properties.

How to Calculate Specific Heat at Constant Pressure for Transient Flow?

Specific Heat at Constant Pressure for Transient Flow calculator uses Molar Specific Heat Capacity at Constant Pressure = (Transient Prandtl Number*Transition Thermal Conductivity)/Eddy Viscosity to calculate the Molar Specific Heat Capacity at Constant Pressure, The Specific heat at constant pressure for transient flow formula is defined as the interrelation between eddy viscosity, specific heat capacity at constant pressure, and Prandtl number at transition case. Molar Specific Heat Capacity at Constant Pressure is denoted by C_{p molar} symbol.

How to calculate Specific Heat at Constant Pressure for Transient Flow using this online calculator? To use this online calculator for Specific Heat at Constant Pressure for Transient Flow, enter Transient Prandtl Number (Pr_T), Transition Thermal Conductivity (k_T) & Eddy Viscosity (μ_T) and hit the calculate button. Here is how the Specific Heat at Constant Pressure for Transient Flow calculation can be explained with given input values -> 134.4 = (2.4*112)/2.

FAQ

What is Specific Heat at Constant Pressure for Transient Flow?

The Specific heat at constant pressure for transient flow formula is defined as the interrelation between eddy viscosity, specific heat capacity at constant pressure, and Prandtl number at transition case and is represented as C_{p molar} = (Pr_T*k_T)/μ_T or Molar Specific Heat Capacity at Constant Pressure = (Transient Prandtl Number*Transition Thermal Conductivity)/Eddy Viscosity. Transient Prandtl Number is the prattle number of the flow in when the laminar flow changes transition flow, Transition thermal conductivity is the thermal conductivity of the fluid during transition of laminar to turbulent flow & Eddy viscosity is the proportionality factor describing the turbulent transfer of energy as a result of moving eddies, giving rise to tangential stresses.

How to calculate Specific Heat at Constant Pressure for Transient Flow?

The Specific heat at constant pressure for transient flow formula is defined as the interrelation between eddy viscosity, specific heat capacity at constant pressure, and Prandtl number at transition case is calculated using Molar Specific Heat Capacity at Constant Pressure = (Transient Prandtl Number*Transition Thermal Conductivity)/Eddy Viscosity. To calculate Specific Heat at Constant Pressure for Transient Flow, you need Transient Prandtl Number (Pr_T), Transition Thermal Conductivity (k_T) & Eddy Viscosity (μ_T). With our tool, you need to enter the respective value for Transient Prandtl Number, Transition Thermal Conductivity & Eddy Viscosity 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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