Reynolds Number given Friction Factor for Flow in Smooth Tubes Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reynolds Number in Tube = (0.316/Fanning Friction Factor)^(4)
Red = (0.316/f)^(4)
This formula uses 2 Variables
Variables Used
Reynolds Number in Tube - Reynolds Number in Tube is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities.
Fanning Friction Factor - The Fanning friction factor is a dimensionless number used in studying fluid friction in pipes. This friction factor is an indication of the resistance to fluid flow at the pipe wall.
STEP 1: Convert Input(s) to Base Unit
Fanning Friction Factor: 0.045 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Red = (0.316/f)^(4) --> (0.316/0.045)^(4)
Evaluating ... ...
Red = 2431.63438158817
STEP 3: Convert Result to Output's Unit
2431.63438158817 --> No Conversion Required
FINAL ANSWER
2431.63438158817 2431.634 <-- Reynolds Number in Tube
(Calculation completed in 00.004 seconds)

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​ 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
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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))
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​ Go Local Nusselt number = 0.332*(Prandtl Number^(1/3))*(Local Reynolds Number^(1/2))
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​ 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
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Recovery Factor for Gases with Prandtl Number near Unity under Laminar Flow
​ Go Recovery Factor = Prandtl Number^(1/2)

Reynolds Number given Friction Factor for Flow in Smooth Tubes Formula

Reynolds Number in Tube = (0.316/Fanning Friction Factor)^(4)
Red = (0.316/f)^(4)

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 Reynolds Number given Friction Factor for Flow in Smooth Tubes?

Reynolds Number given Friction Factor for Flow in Smooth Tubes calculator uses Reynolds Number in Tube = (0.316/Fanning Friction Factor)^(4) to calculate the Reynolds Number in Tube, The Reynolds Number given Friction Factor for Flow in Smooth Tubes formula is defined as a function of the fanning friction factor. The Darcy friction factor formulae are equations that allow the calculation of the Darcy friction factor, a dimensionless quantity used in the Darcy–Weisbach equation, for the description of friction losses in pipe flow as well as open-channel flow. Due to the implicit form of the Colebrook-White equation, the calculation of the friction factor requires an iterative solution via numerical methods. The friction factor is then used in the Darcy-Weisbach formula to calculate the fluid frictional loss in a pipe. Reynolds Number in Tube is denoted by Red symbol.

How to calculate Reynolds Number given Friction Factor for Flow in Smooth Tubes using this online calculator? To use this online calculator for Reynolds Number given Friction Factor for Flow in Smooth Tubes, enter Fanning Friction Factor (f) and hit the calculate button. Here is how the Reynolds Number given Friction Factor for Flow in Smooth Tubes calculation can be explained with given input values -> 2431.634 = (0.316/0.045)^(4).

FAQ

What is Reynolds Number given Friction Factor for Flow in Smooth Tubes?
The Reynolds Number given Friction Factor for Flow in Smooth Tubes formula is defined as a function of the fanning friction factor. The Darcy friction factor formulae are equations that allow the calculation of the Darcy friction factor, a dimensionless quantity used in the Darcy–Weisbach equation, for the description of friction losses in pipe flow as well as open-channel flow. Due to the implicit form of the Colebrook-White equation, the calculation of the friction factor requires an iterative solution via numerical methods. The friction factor is then used in the Darcy-Weisbach formula to calculate the fluid frictional loss in a pipe and is represented as Red = (0.316/f)^(4) or Reynolds Number in Tube = (0.316/Fanning Friction Factor)^(4). The Fanning friction factor is a dimensionless number used in studying fluid friction in pipes. This friction factor is an indication of the resistance to fluid flow at the pipe wall.
How to calculate Reynolds Number given Friction Factor for Flow in Smooth Tubes?
The Reynolds Number given Friction Factor for Flow in Smooth Tubes formula is defined as a function of the fanning friction factor. The Darcy friction factor formulae are equations that allow the calculation of the Darcy friction factor, a dimensionless quantity used in the Darcy–Weisbach equation, for the description of friction losses in pipe flow as well as open-channel flow. Due to the implicit form of the Colebrook-White equation, the calculation of the friction factor requires an iterative solution via numerical methods. The friction factor is then used in the Darcy-Weisbach formula to calculate the fluid frictional loss in a pipe is calculated using Reynolds Number in Tube = (0.316/Fanning Friction Factor)^(4). To calculate Reynolds Number given Friction Factor for Flow in Smooth Tubes, you need Fanning Friction Factor (f). With our tool, you need to enter the respective value for Fanning Friction Factor 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 Reynolds Number in Tube?
In this formula, Reynolds Number in Tube uses Fanning Friction Factor. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Reynolds Number in Tube = (Mass Velocity*Diameter of Tube)/(Dynamic Viscosity)
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