✖The 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 Calculation using Prandtl Number [r]

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Formula

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Recovery Factor Calculation using Prandtl Number

Formula

`"r" = sqrt("Pr")`

Example

`"0.83666"=sqrt("0.7")`

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Recovery Factor Calculation using Prandtl Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Recovery Factor = sqrt(Prandtl Number)
r = sqrt(Pr)
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Recovery Factor - Recovery Factor is a dimensionless number defined by the ratio of difference in enthalpies.
Prandtl Number - The 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: 0.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = sqrt(Pr) --> sqrt(0.7)

Evaluating ... ...

r = 0.836660026534076

STEP 3: Convert Result to Output's Unit

0.836660026534076 --> No Conversion Required

FINAL ANSWER

0.836660026534076 ≈ 0.83666 <-- Recovery Factor

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Flat Plate for Viscous Flow Case » Viscous Flow » Recovery Factor Calculation using Prandtl Number

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< 15 Viscous Flow Calculators

Static Velocity Equation using Aerodynamic Heating Equation

Go Static Velocity = Local Heat Transfer Rate/(Static Density*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy))

Static Density Equation using Aerodynamic Equation

Go Static Density = Local Heat Transfer Rate/(Static Velocity*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy))

Aerodynamic Heating Equation for Stanton number

Go Stanton Number = Local Heat Transfer Rate/(Static Density*Static Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy))

Recovery Factor using Temperature

Go Recovery Factor = (Adiabatic Wall Temperature-Static Temperature)/(Total Temperature-Static Temperature)

Recovery Factor for Flat Plate with Viscous Flow

Go Recovery Factor = (Adiabatic Wall Enthalpy-Static Enthalpy)/(Total Specific Enthalpy-Static Enthalpy)

Adiabatic Wall Enthalpy for Flat Plate

Go Adiabatic Wall Enthalpy = Static Enthalpy+Recovery Factor*(Total Specific Enthalpy-Static Enthalpy)

Drag per Unit Span

Go Drag Force = (0.86*Dynamic Pressure*Distance from Leading Edge)/sqrt(Reynolds Number)

Skin-Friction Drag Coefficient

Go Skin friction coefficient = Skin Friction Drag Force/(Dynamic Pressure*Reference Area)

Skin-Friction Drag for Flat Plate in Viscous Flow

Go Skin Friction Drag Force = Dynamic Pressure*Reference Area*Skin friction coefficient

Adiabatic Wall Enthalpy using Recovery Factor

Go Adiabatic Wall Enthalpy = Static Enthalpy+Recovery Factor*(Static Velocity^2)/2

Coefficient of Friction using Stanton Number for Flat Plate Case

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

Stanton Number with Coefficient of Friction

Go Stanton Number = 0.5*Coefficient of Friction*Prandtl Number^(-2/3)

Total Enthalpy in Inviscid Flow Outside Boundary Layer

Go Total Specific Enthalpy = Static Enthalpy+(Static Velocity^2)/2

Recovery Factor Calculation using Prandtl Number

Go Recovery Factor = sqrt(Prandtl Number)

Prandtl Number for Flat Plate with Viscous Flow

Go Prandtl Number = Recovery Factor^2

Recovery Factor Calculation using Prandtl Number Formula

Recovery Factor = sqrt(Prandtl Number)
r = sqrt(Pr)

What is Prandtl number?

The Prandtl Number is a dimensionless number approximating the ratio of momentum diffusivity to thermal diffusivity.

How to Calculate Recovery Factor Calculation using Prandtl Number?

Recovery Factor Calculation using Prandtl Number calculator uses Recovery Factor = sqrt(Prandtl Number) to calculate the Recovery Factor, The Recovery factor calculation using Prandtl number formula is defined as the square root of Prandtl number, used for calculation of Prandtl number and enthalpies. Recovery Factor is denoted by r symbol.

How to calculate Recovery Factor Calculation using Prandtl Number using this online calculator? To use this online calculator for Recovery Factor Calculation using Prandtl Number, enter Prandtl Number (Pr) and hit the calculate button. Here is how the Recovery Factor Calculation using Prandtl Number calculation can be explained with given input values -> 0.83666 = sqrt(0.7).

FAQ

What is Recovery Factor Calculation using Prandtl Number?

The Recovery factor calculation using Prandtl number formula is defined as the square root of Prandtl number, used for calculation of Prandtl number and enthalpies and is represented as r = sqrt(Pr) or Recovery Factor = sqrt(Prandtl Number). The 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 Calculation using Prandtl Number?

The Recovery factor calculation using Prandtl number formula is defined as the square root of Prandtl number, used for calculation of Prandtl number and enthalpies is calculated using Recovery Factor = sqrt(Prandtl Number). To calculate Recovery Factor Calculation using Prandtl Number, 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 Enthalpy-Static Enthalpy)/(Total Specific Enthalpy-Static Enthalpy)
Recovery Factor = (Adiabatic Wall Temperature-Static Temperature)/(Total Temperature-Static Temperature)

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