Nusselt Number using Dittus Boelter Equation for Cooling Calculator

✖Reynolds number 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 [Re]			+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%

✖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 using Dittus Boelter Equation for Cooling [Nu]

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Nusselt Number using Dittus Boelter Equation for Cooling Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nusselt Number = 0.023*(Reynolds Number)^0.8*(Prandtl Number)^0.3
Nu = 0.023*(Re)^0.8*(Pr)^0.3
This formula uses 3 Variables

Variables Used

Nusselt Number - 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 - Reynolds number 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: 5000 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu = 0.023*(Re)^0.8*(Pr)^0.3 --> 0.023*(5000)^0.8*(0.7)^0.3

Evaluating ... ...

Nu = 18.811925557594

STEP 3: Convert Result to Output's Unit

18.811925557594 --> No Conversion Required

FINAL ANSWER

18.811925557594 ≈ 18.81193 <-- Nusselt Number

(Calculation completed in 00.004 seconds)

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< Co Relation of Dimensionless Numbers Calculators

Nusselt Number for Transitional and Rough Flow in Circular Tube

LaTeX Go Nusselt Number = (Darcy Friction Factor/8)*(Reynolds Number-1000)*Prandtl Number/(1+12.7*((Darcy Friction Factor/8)^(0.5))*((Prandtl Number)^(2/3)-1))

Reynolds Number for Non-Circular Tubes

LaTeX Go Reynolds Number = Density*Fluid Velocity*Characteristic Length/Dynamic Viscosity

Reynolds Number for Circular Tubes

LaTeX Go Reynolds Number = Density*Fluid Velocity*Diameter of Tube/Dynamic Viscosity

Prandtl Number

LaTeX Go Prandtl Number = Specific Heat Capacity*Dynamic Viscosity/Thermal Conductivity

Nusselt Number using Dittus Boelter Equation for Cooling Formula

LaTeX Go

Nusselt Number = 0.023*(Reynolds Number)^0.8*(Prandtl Number)^0.3
Nu = 0.023*(Re)^0.8*(Pr)^0.3

What is Heat Transfer?

Heat transfer is a discipline of thermal engineering that concerns the generation, use, conversion, and exchange of thermal energy between physical systems. Heat transfer is classified into various mechanisms, such as thermal conduction, thermal convection, thermal radiation, and transfer of energy by phase changes.

Define Thermal Conductivity & Factors affecting it?

Thermal conductivity is defined as the ability of a substance to conduct heat. Factors Affecting The Thermal Conductivity are: Moisture, Density of material, Pressure, Temperature & Structure of material.

How to Calculate Nusselt Number using Dittus Boelter Equation for Cooling?

Nusselt Number using Dittus Boelter Equation for Cooling calculator uses Nusselt Number = 0.023*(Reynolds Number)^0.8*(Prandtl Number)^0.3 to calculate the Nusselt Number, The Nusselt Number using Dittus Boelter Equation for Cooling formula is for fully developed turbulent flow in a smooth circular tube, the local Nusselt number may be obtained from this equation. Nusselt Number is denoted by Nu symbol.

How to calculate Nusselt Number using Dittus Boelter Equation for Cooling using this online calculator? To use this online calculator for Nusselt Number using Dittus Boelter Equation for Cooling, enter Reynolds Number (Re) & Prandtl Number (Pr) and hit the calculate button. Here is how the Nusselt Number using Dittus Boelter Equation for Cooling calculation can be explained with given input values -> 18.81193 = 0.023*(5000)^0.8*(0.7)^0.3.

FAQ

What is Nusselt Number using Dittus Boelter Equation for Cooling?

The Nusselt Number using Dittus Boelter Equation for Cooling formula is for fully developed turbulent flow in a smooth circular tube, the local Nusselt number may be obtained from this equation and is represented as Nu = 0.023*(Re)^0.8*(Pr)^0.3 or Nusselt Number = 0.023*(Reynolds Number)^0.8*(Prandtl Number)^0.3. Reynolds number 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 using Dittus Boelter Equation for Cooling?

The Nusselt Number using Dittus Boelter Equation for Cooling formula is for fully developed turbulent flow in a smooth circular tube, the local Nusselt number may be obtained from this equation is calculated using Nusselt Number = 0.023*(Reynolds Number)^0.8*(Prandtl Number)^0.3. To calculate Nusselt Number using Dittus Boelter Equation for Cooling, you need Reynolds Number (Re) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Reynolds Number & 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 Nusselt Number?

In this formula, Nusselt Number uses Reynolds Number & Prandtl Number. We can use 2 other way(s) to calculate the same, which is/are as follows -

Nusselt Number = (Darcy Friction Factor/8)*(Reynolds Number-1000)*Prandtl Number/(1+12.7*((Darcy Friction Factor/8)^(0.5))*((Prandtl Number)^(2/3)-1))
Nusselt Number = 0.023*(Reynolds Number)^0.8*(Prandtl Number)^0.4

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