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)

Credits

Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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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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