Recovery Factor for Flat Plate with Viscous Flow Calculator

✖Adiabatic wall enthalpy, is the Enthalpy of a fluid flowing around a solid body; it corresponds to the adiabatic wall temperature.ⓘ Adiabatic Wall Enthalpy [h_aw]			+10% -10%
✖Static Enthalpy is the constant enthalpy of the fluid.ⓘ Static Enthalpy [he]			+10% -10%
✖Total Specific Enthalpy defined to be the sum of the internal energy E plus the product of the pressure p and volume V.ⓘ Total Specific Enthalpy [h₀]			+10% -10%

✖Recovery Factor is a dimensionless number defined by the ratio of difference in enthalpies.ⓘ Recovery Factor for Flat Plate with Viscous Flow [r]

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Recovery Factor for Flat Plate with Viscous Flow

Formula

`"r" = ("h"_{"aw"}-"he")/("h"_{"0"}-"he")`

Example

`"0.3875"=("102J/kg"-"40J/kg")/("200J/kg"-"40J/kg")`

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Recovery Factor for Flat Plate with Viscous Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Recovery Factor = (Adiabatic Wall Enthalpy-Static Enthalpy)/(Total Specific Enthalpy-Static Enthalpy)
r = (h_aw-he)/(h₀-he)
This formula uses 4 Variables

Variables Used

Recovery Factor - Recovery Factor is a dimensionless number defined by the ratio of difference in enthalpies.
Adiabatic Wall Enthalpy - (Measured in Joule per Kilogram) - Adiabatic wall enthalpy, is the Enthalpy of a fluid flowing around a solid body; it corresponds to the adiabatic wall temperature.
Static Enthalpy - (Measured in Joule per Kilogram) - Static Enthalpy is the constant enthalpy of the fluid.
Total Specific Enthalpy - (Measured in Joule per Kilogram) - Total Specific Enthalpy defined to be the sum of the internal energy E plus the product of the pressure p and volume V.

STEP 1: Convert Input(s) to Base Unit

Adiabatic Wall Enthalpy: 102 Joule per Kilogram --> 102 Joule per Kilogram No Conversion Required
Static Enthalpy: 40 Joule per Kilogram --> 40 Joule per Kilogram No Conversion Required
Total Specific Enthalpy: 200 Joule per Kilogram --> 200 Joule per Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = (h_aw-he)/(h₀-he) --> (102-40)/(200-40)

Evaluating ... ...

r = 0.3875

STEP 3: Convert Result to Output's Unit

0.3875 --> No Conversion Required

FINAL ANSWER

0.3875 <-- 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 for Flat Plate with Viscous Flow

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has created this Calculator and 300+ more calculators!

Verified by Vinay Mishra

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 for Flat Plate with Viscous Flow Formula

Recovery Factor = (Adiabatic Wall Enthalpy-Static Enthalpy)/(Total Specific Enthalpy-Static Enthalpy)
r = (h_aw-he)/(h₀-he)

What is enthalpy?

Enthalpy is a property of a thermodynamic system, defined as the sum of the system's internal energy and the product of its pressure and volume.

How to Calculate Recovery Factor for Flat Plate with Viscous Flow?

Recovery Factor for Flat Plate with Viscous Flow calculator uses Recovery Factor = (Adiabatic Wall Enthalpy-Static Enthalpy)/(Total Specific Enthalpy-Static Enthalpy) to calculate the Recovery Factor, The Recovery factor for flat plate with viscous flow formula is defined as the ratio od difference in adiabatic wall enthalpy and static enthalpy to the difference of total enthalpy and static enthalpy. Recovery Factor is denoted by r symbol.

How to calculate Recovery Factor for Flat Plate with Viscous Flow using this online calculator? To use this online calculator for Recovery Factor for Flat Plate with Viscous Flow, enter Adiabatic Wall Enthalpy (h_aw), Static Enthalpy (he) & Total Specific Enthalpy (h₀) and hit the calculate button. Here is how the Recovery Factor for Flat Plate with Viscous Flow calculation can be explained with given input values -> 0.3875 = (102-40)/(200-40).

FAQ

What is Recovery Factor for Flat Plate with Viscous Flow?

The Recovery factor for flat plate with viscous flow formula is defined as the ratio od difference in adiabatic wall enthalpy and static enthalpy to the difference of total enthalpy and static enthalpy and is represented as r = (h_aw-he)/(h₀-he) or Recovery Factor = (Adiabatic Wall Enthalpy-Static Enthalpy)/(Total Specific Enthalpy-Static Enthalpy). Adiabatic wall enthalpy, is the Enthalpy of a fluid flowing around a solid body; it corresponds to the adiabatic wall temperature, Static Enthalpy is the constant enthalpy of the fluid & Total Specific Enthalpy defined to be the sum of the internal energy E plus the product of the pressure p and volume V.

How to calculate Recovery Factor for Flat Plate with Viscous Flow?

The Recovery factor for flat plate with viscous flow formula is defined as the ratio od difference in adiabatic wall enthalpy and static enthalpy to the difference of total enthalpy and static enthalpy is calculated using Recovery Factor = (Adiabatic Wall Enthalpy-Static Enthalpy)/(Total Specific Enthalpy-Static Enthalpy). To calculate Recovery Factor for Flat Plate with Viscous Flow, you need Adiabatic Wall Enthalpy (h_aw), Static Enthalpy (he) & Total Specific Enthalpy (h₀). With our tool, you need to enter the respective value for Adiabatic Wall Enthalpy, Static Enthalpy & Total Specific Enthalpy 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 Adiabatic Wall Enthalpy, Static Enthalpy & Total Specific Enthalpy. We can use 2 other way(s) to calculate the same, which is/are as follows -

Recovery Factor = sqrt(Prandtl Number)
Recovery Factor = (Adiabatic Wall Temperature-Static Temperature)/(Total Temperature-Static Temperature)

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