Recovery Factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Recovery Factor = ((Adiabatic Wall Temperature-Static Temperature of Free Stream) /(Stagnation Temperature-Static Temperature of Free Stream))
r = ((Taw-T) /(To-T))
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 Temperature - (Measured in Kelvin) - Adiabatic wall temperature, is the temperature acquired by a wall in liquid or gas flow if the condition of thermal insulation is observed on it.
Static Temperature of Free Stream - (Measured in Kelvin) - The Static Temperature of Free Stream is defined as the temperature of the gas if it had no ordered motion and was not flowing.
Stagnation Temperature - (Measured in Kelvin) - Stagnation Temperature is defined as the temperature at a stagnation point in a fluid flow.
STEP 1: Convert Input(s) to Base Unit
Adiabatic Wall Temperature: 410 Kelvin --> 410 Kelvin No Conversion Required
Static Temperature of Free Stream: 325 Kelvin --> 325 Kelvin No Conversion Required
Stagnation Temperature: 370 Kelvin --> 370 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = ((Taw-T) /(To-T)) --> ((410-325) /(370-325))
Evaluating ... ...
r = 1.88888888888889
STEP 3: Convert Result to Output's Unit
1.88888888888889 --> No Conversion Required
FINAL ANSWER
1.88888888888889 1.888889 <-- Recovery Factor
(Calculation completed in 00.020 seconds)

Credits

Created by Ayush gupta
University School of Chemical Technology-USCT (GGSIPU), New Delhi
Ayush gupta has created this Calculator and 300+ more calculators!
Verified by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
Prerana Bakli has verified this Calculator and 1600+ more calculators!

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 Formula

Recovery Factor = ((Adiabatic Wall Temperature-Static Temperature of Free Stream) /(Stagnation Temperature-Static Temperature of Free Stream))
r = ((Taw-T) /(To-T))

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?

Recovery Factor calculator uses Recovery Factor = ((Adiabatic Wall Temperature-Static Temperature of Free Stream) /(Stagnation Temperature-Static Temperature of Free Stream)) to calculate the Recovery Factor, The Recovery Factor 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 using this online calculator? To use this online calculator for Recovery Factor, enter Adiabatic Wall Temperature (Taw), Static Temperature of Free Stream (T) & Stagnation Temperature (To) and hit the calculate button. Here is how the Recovery Factor calculation can be explained with given input values -> 1.888889 = ((410-325) /(370-325)).

FAQ

What is Recovery Factor?
The Recovery Factor 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 = ((Taw-T) /(To-T)) or Recovery Factor = ((Adiabatic Wall Temperature-Static Temperature of Free Stream) /(Stagnation Temperature-Static Temperature of Free Stream)). Adiabatic wall temperature, is the temperature acquired by a wall in liquid or gas flow if the condition of thermal insulation is observed on it, The Static Temperature of Free Stream is defined as the temperature of the gas if it had no ordered motion and was not flowing & Stagnation Temperature is defined as the temperature at a stagnation point in a fluid flow.
How to calculate Recovery Factor?
The Recovery Factor 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 = ((Adiabatic Wall Temperature-Static Temperature of Free Stream) /(Stagnation Temperature-Static Temperature of Free Stream)). To calculate Recovery Factor, you need Adiabatic Wall Temperature (Taw), Static Temperature of Free Stream (T) & Stagnation Temperature (To). With our tool, you need to enter the respective value for Adiabatic Wall Temperature, Static Temperature of Free Stream & Stagnation Temperature 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 Temperature, Static Temperature of Free Stream & Stagnation Temperature. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Recovery Factor = Prandtl Number^(1/2)
  • Recovery Factor = Prandtl Number^(1/3)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!