Nusselt Number for Turbulent Flow in Smooth Tube Calculator

✖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.ⓘ Reynolds Number in Tube [Re_d]			+10% -10%
✖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]			+10% -10%

✖The Nusselt number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion.ⓘ Nusselt Number for Turbulent Flow in Smooth Tube [Nu_d]

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Nusselt Number for Turbulent Flow in Smooth Tube Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nusselt Number = 0.023*(Reynolds Number in Tube^(0.8))*(Prandtl Number^(0.4))
Nu_d = 0.023*(Re_d^(0.8))*(Pr^(0.4))
This formula uses 3 Variables

Variables Used

Nusselt Number - The Nusselt number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion.
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.
Prandtl Number - 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

Reynolds Number in Tube: 2200 --> No Conversion Required
Prandtl Number: 7.29 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu_d = 0.023*(Re_d^(0.8))*(Pr^(0.4)) --> 0.023*(2200^(0.8))*(7.29^(0.4))

Evaluating ... ...

Nu_d = 24.0301782331892

STEP 3: Convert Result to Output's Unit

24.0301782331892 --> No Conversion Required

FINAL ANSWER

24.0301782331892 ≈ 24.03018 <-- Nusselt Number

(Calculation completed in 00.004 seconds)

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< Convection Heat Transfer Calculators

Reynolds Number given Mass Velocity

LaTeX Go Reynolds Number in Tube = (Mass Velocity*Diameter of Tube)/(Dynamic Viscosity)

Mass Flow Rate from Continuity Relation for One Dimensional Flow in Tube

LaTeX Go Mass Flow Rate = Density of Fluid*Cross Sectional Area*Mean velocity

Mass Velocity

LaTeX Go Mass Velocity = Mass Flow Rate/Cross Sectional Area

Mass Velocity given Mean Velocity

LaTeX Go Mass Velocity = Density of Fluid*Mean velocity

Nusselt Number for Turbulent Flow in Smooth Tube Formula

LaTeX Go

Nusselt Number = 0.023*(Reynolds Number in Tube^(0.8))*(Prandtl Number^(0.4))
Nu_d = 0.023*(Re_d^(0.8))*(Pr^(0.4))

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 Nusselt Number for Turbulent Flow in Smooth Tube?

Nusselt Number for Turbulent Flow in Smooth Tube calculator uses Nusselt Number = 0.023*(Reynolds Number in Tube^(0.8))*(Prandtl Number^(0.4)) to calculate the Nusselt Number, The Nusselt Number for Turbulent Flow in Smooth Tube formula is defined as the function of Reynolds Number and Prandtl Number. The Nusselt number may be interpreted as the ratio of heat transfer by convection to conduction across the fluid layer of thickness L. A larger value of the Nusselt number implies enhanced heat transfer by convection. Nusselt number on the other hand is a non-dimensional heat transfer coefficient. It is used to determine whether the heat transfer is conduction or convection. Nusselt Number is denoted by Nu_d symbol.

How to calculate Nusselt Number for Turbulent Flow in Smooth Tube using this online calculator? To use this online calculator for Nusselt Number for Turbulent Flow in Smooth Tube, enter Reynolds Number in Tube (Re_d) & Prandtl Number (Pr) and hit the calculate button. Here is how the Nusselt Number for Turbulent Flow in Smooth Tube calculation can be explained with given input values -> 24.03018 = 0.023*(2200^(0.8))*(7.29^(0.4)).

FAQ

What is Nusselt Number for Turbulent Flow in Smooth Tube?

The Nusselt Number for Turbulent Flow in Smooth Tube formula is defined as the function of Reynolds Number and Prandtl Number. The Nusselt number may be interpreted as the ratio of heat transfer by convection to conduction across the fluid layer of thickness L. A larger value of the Nusselt number implies enhanced heat transfer by convection. Nusselt number on the other hand is a non-dimensional heat transfer coefficient. It is used to determine whether the heat transfer is conduction or convection and is represented as Nu_d = 0.023*(Re_d^(0.8))*(Pr^(0.4)) or Nusselt Number = 0.023*(Reynolds Number in Tube^(0.8))*(Prandtl Number^(0.4)). 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 & 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 Nusselt Number for Turbulent Flow in Smooth Tube?

The Nusselt Number for Turbulent Flow in Smooth Tube formula is defined as the function of Reynolds Number and Prandtl Number. The Nusselt number may be interpreted as the ratio of heat transfer by convection to conduction across the fluid layer of thickness L. A larger value of the Nusselt number implies enhanced heat transfer by convection. Nusselt number on the other hand is a non-dimensional heat transfer coefficient. It is used to determine whether the heat transfer is conduction or convection is calculated using Nusselt Number = 0.023*(Reynolds Number in Tube^(0.8))*(Prandtl Number^(0.4)). To calculate Nusselt Number for Turbulent Flow in Smooth Tube, you need Reynolds Number in Tube (Re_d) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Reynolds Number in Tube & Prandtl Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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