Recovery Factor for Gases with Prandtl Number near Unity under Turbulent Flow Calculator

✖Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.ⓘ Prandtl Number [Pr]

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✖Recovery Factor is a dimensionless number defined by the ratio of difference in enthalpies.ⓘ Recovery Factor for Gases with Prandtl Number near Unity under Turbulent Flow [r]

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Formula

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Recovery Factor for Gases with Prandtl Number near Unity under Turbulent Flow

Formula

`"r" = "Pr"^(1/3)`

Example

`"1.938991"=("7.29")^(1/3)`

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Recovery Factor for Gases with Prandtl Number near Unity under Turbulent Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Recovery Factor = Prandtl Number^(1/3)
r = Pr^(1/3)
This formula uses 2 Variables

Variables Used

Recovery Factor - Recovery Factor is a dimensionless number defined by the ratio of difference in enthalpies.
Prandtl Number - Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.

STEP 1: Convert Input(s) to Base Unit

Prandtl Number: 7.29 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = Pr^(1/3) --> 7.29^(1/3)

Evaluating ... ...

r = 1.9389912210287

STEP 3: Convert Result to Output's Unit

1.9389912210287 --> No Conversion Required

FINAL ANSWER

1.9389912210287 ≈ 1.938991 <-- Recovery Factor

(Calculation completed in 00.004 seconds)

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Created by Ayush gupta

University School of Chemical Technology-USCT (GGSIPU), New Delhi

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< 25 Convection Heat Transfer Calculators

Recovery Factor

Go Recovery Factor = ((Adiabatic Wall Temperature-Static Temperature of Free Stream)/(Stagnation Temperature-Static Temperature of Free Stream))

Local Stanton Number

Go Local Stanton Number = Local Heat Transfer Coefficient/(Density of Fluid*Specific Heat at Constant Pressure*Free Stream Velocity)

Correlation for Local Nusselt Number for Laminar Flow on Isothermal Flat Plate

Go Local Nusselt number = (0.3387*(Local Reynolds Number^(1/2))*(Prandtl Number^(1/3)))/(1+((0.0468/Prandtl Number)^(2/3)))^(1/4)

Correlation for Nusselt Number for Constant Heat Flux

Go Local Nusselt number = (0.4637*(Local Reynolds Number^(1/2))*(Prandtl Number^(1/3)))/(1+((0.0207/Prandtl Number)^(2/3)))^(1/4)

Local Velocity of Sound

Go Local Velocity of Sound = sqrt((Ratio of Specific Heat Capacities*[R]*Temperature of Medium))

Drag Coefficient for Bluff Bodies

Go Drag Coefficient = (2*Drag Force)/(Frontal Area*Density of Fluid*(Free Stream Velocity^2))

Drag Force for Bluff Bodies

Go Drag Force = (Drag Coefficient*Frontal Area*Density of Fluid*(Free Stream Velocity^2))/2

Shear Stress at Wall given Friction Coefficient

Go Shear Stress = (Friction Coefficient*Density of Fluid*(Free Stream Velocity^2))/2

Reynolds Number given Mass Velocity

Go Reynolds Number in Tube = (Mass Velocity*Diameter of Tube)/(Dynamic Viscosity)

Mass Flow Rate from Continuity Relation for One Dimensional Flow in Tube

Go Mass Flow Rate = Density of Fluid*Cross Sectional Area*Mean velocity

Nusselt Number for Plate heated over its Entire Length

Go Nusselt Number at Location L = 0.664*((Reynolds Number)^(1/2))*(Prandtl Number^(1/3))

Local Stanton Number given Prandtl Number

Go Local Stanton Number = (0.332*(Local Reynolds Number^(1/2)))/(Prandtl Number^(2/3))

Local Nusselt Number for Constant Heat Flux given Prandtl Number

Go Local Nusselt number = 0.453*(Local Reynolds Number^(1/2))*(Prandtl Number^(1/3))

Local Nusselt Number for Plate Heated over its Entire Length

Go Local Nusselt number = 0.332*(Prandtl Number^(1/3))*(Local Reynolds Number^(1/2))

Nusselt Number for Turbulent Flow in Smooth Tube

Go Nusselt Number = 0.023*(Reynolds Number in Tube^(0.8))*(Prandtl Number^(0.4))

Local Stanton Number given Local Friction Coefficient

Go Local Stanton Number = Local Friction Coefficient/(2*(Prandtl Number^(2/3)))

Local Velocity of Sound when Air Behaves as Ideal Gas

Go Local Velocity of Sound = 20.045*sqrt((Temperature of Medium))

Mass Velocity

Go Mass Velocity = Mass Flow Rate/Cross Sectional Area

Mass Velocity given Mean Velocity

Go Mass Velocity = Density of Fluid*Mean velocity

Local Friction Coefficient given Local Reynolds Number

Go Local Friction Coefficient = 2*0.332*(Local Reynolds Number^(-0.5))

Local Skin Friction Coefficient for Turbulent Flow on Flat Plates

Go Local Friction Coefficient = 0.0592*(Local Reynolds Number^(-1/5))

Friction Factor given Reynolds Number for Flow in Smooth Tubes

Go Fanning Friction Factor = 0.316/((Reynolds Number in Tube)^(1/4))

Stanton Number given Friction Factor for Turbulent Flow in Tube

Go Stanton Number = Fanning Friction Factor/8

Recovery Factor for Gases with Prandtl Number near Unity under Turbulent Flow

Go Recovery Factor = Prandtl Number^(1/3)

Recovery Factor for Gases with Prandtl Number near Unity under Laminar Flow

Go Recovery Factor = Prandtl Number^(1/2)

Recovery Factor for Gases with Prandtl Number near Unity under Turbulent Flow Formula

Recovery Factor = Prandtl Number^(1/3)
r = Pr^(1/3)

What is Convection?

Convection is the process of heat transfer by the bulk movement of molecules within fluids such as gases and liquids. The initial heat transfer between the object and the fluid takes place through conduction, but the bulk heat transfer happens due to the motion of the fluid. Convection is the process of heat transfer in fluids by the actual motion of matter. It happens in liquids and gases. It may be natural or forced. It involves a bulk transfer of portions of the fluid.

What are the Types of Convection?

There are two types of convection, and they are: Natural convection: When convection takes place due to buoyant force as there is a difference in densities caused by the difference in temperatures it is known as natural convection. Examples of natural convection are oceanic winds. Forced convection: When external sources such as fans and pumps are used for creating induced convection, it is known as forced convection. Examples of forced convection are using water heaters or geysers for instant heating of water and using a fan on a hot summer day.

How to Calculate Recovery Factor for Gases with Prandtl Number near Unity under Turbulent Flow?

Recovery Factor for Gases with Prandtl Number near Unity under Turbulent Flow calculator uses Recovery Factor = Prandtl Number^(1/3) to calculate the Recovery Factor, The Recovery Factor for Gases with Prandtl Number near Unity under Turbulent Flow formula is defined as the function of adiabatic Wall Temperature, static temperature of free steam and stagnation temperature. In the actual case of a boundary-layer flow problem, the fluid is not brought to rest reversibly because the viscous action is basically an irreversible process in a thermodynamic sense. In addition, not all the free-stream kinetic energy is converted to thermal energy— part is lost as heat, and part is dissipated in the form of viscous work. To take into account the irreversibilities in the boundary-layer flow system, a recovery factor is defined. Recovery Factor is denoted by r symbol.

How to calculate Recovery Factor for Gases with Prandtl Number near Unity under Turbulent Flow using this online calculator? To use this online calculator for Recovery Factor for Gases with Prandtl Number near Unity under Turbulent Flow, enter Prandtl Number (Pr) and hit the calculate button. Here is how the Recovery Factor for Gases with Prandtl Number near Unity under Turbulent Flow calculation can be explained with given input values -> 1.938991 = 7.29^(1/3).

FAQ

What is Recovery Factor for Gases with Prandtl Number near Unity under Turbulent Flow?

The Recovery Factor for Gases with Prandtl Number near Unity under Turbulent Flow formula is defined as the function of adiabatic Wall Temperature, static temperature of free steam and stagnation temperature. In the actual case of a boundary-layer flow problem, the fluid is not brought to rest reversibly because the viscous action is basically an irreversible process in a thermodynamic sense. In addition, not all the free-stream kinetic energy is converted to thermal energy— part is lost as heat, and part is dissipated in the form of viscous work. To take into account the irreversibilities in the boundary-layer flow system, a recovery factor is defined and is represented as r = Pr^(1/3) or Recovery Factor = Prandtl Number^(1/3). Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.

How to calculate Recovery Factor for Gases with Prandtl Number near Unity under Turbulent Flow?

The Recovery Factor for Gases with Prandtl Number near Unity under Turbulent Flow formula is defined as the function of adiabatic Wall Temperature, static temperature of free steam and stagnation temperature. In the actual case of a boundary-layer flow problem, the fluid is not brought to rest reversibly because the viscous action is basically an irreversible process in a thermodynamic sense. In addition, not all the free-stream kinetic energy is converted to thermal energy— part is lost as heat, and part is dissipated in the form of viscous work. To take into account the irreversibilities in the boundary-layer flow system, a recovery factor is defined is calculated using Recovery Factor = Prandtl Number^(1/3). To calculate Recovery Factor for Gases with Prandtl Number near Unity under Turbulent Flow, you need Prandtl Number (Pr). With our tool, you need to enter the respective value for Prandtl Number 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 Recovery Factor?

In this formula, Recovery Factor uses Prandtl Number. We can use 2 other way(s) to calculate the same, which is/are as follows -

Recovery Factor = ((Adiabatic Wall Temperature-Static Temperature of Free Stream)/(Stagnation Temperature-Static Temperature of Free Stream))
Recovery Factor = Prandtl Number^(1/2)

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