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Nusselt Number for Transitional and Rough Flow in Circular Tube Formula

GoNusselt Number using Dittus Boelter Equation for Cooling Formula

GoNusselt Number using Dittus Boelter Equation for Heating Formula

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Nusselt Number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion. Check FAQs

Nu = (\frac{f Darcy}{8}) \cdot (Re - 1000) \cdot \frac{Pr}{1 + 12.7 \cdot ({(\frac{f Darcy}{8})}^{0.5}) \cdot ({(Pr)}^{\frac{2}{3}} - 1)}

Nu - Nusselt Number?f_Darcy - Darcy Friction Factor?Re - Reynolds Number?Pr - Prandtl Number?

Nusselt Number for Transitional and Rough Flow in Circular Tube Example

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Here is how the Nusselt Number for Transitional and Rough Flow in Circular Tube equation looks like with Values.

Here is how the Nusselt Number for Transitional and Rough Flow in Circular Tube equation looks like with Units.

Here is how the Nusselt Number for Transitional and Rough Flow in Circular Tube equation looks like.

17.2849 = (\frac{0.04}{8}) \cdot (5000 - 1000) \cdot \frac{0.7}{1 + 12.7 \cdot ({(\frac{0.04}{8})}^{0.5}) \cdot ({(0.7)}^{\frac{2}{3}} - 1)}

17.2849 = (\frac{0.04}{8}) \cdot (5000 - 1000) \cdot \frac{0.7}{1 + 12.7 \cdot ({(\frac{0.04}{8})}^{0.5}) \cdot ({(0.7)}^{\frac{2}{3}} - 1)}

17.2849 = (\frac{0.04}{8}) \cdot (5000 - 1000) \cdot \frac{0.7}{1 + 12.7 \cdot ({(\frac{0.04}{8})}^{0.5}) \cdot ({(0.7)}^{\frac{2}{3}} - 1)}

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Nusselt Number for Transitional and Rough Flow in Circular Tube Solution

Follow our step by step solution on how to calculate Nusselt Number for Transitional and Rough Flow in Circular Tube?

FIRST Step Consider the formula

Nu = (\frac{f Darcy}{8}) \cdot (Re - 1000) \cdot \frac{Pr}{1 + 12.7 \cdot ({(\frac{f Darcy}{8})}^{0.5}) \cdot ({(Pr)}^{\frac{2}{3}} - 1)}

Next Step Substitute values of Variables

∴

Nu = (\frac{0.04}{8}) \cdot (5000 - 1000) \cdot \frac{0.7}{1 + 12.7 \cdot ({(\frac{0.04}{8})}^{0.5}) \cdot ({(0.7)}^{\frac{2}{3}} - 1)}

Next Step Prepare to Evaluate

∴

Nu = (\frac{0.04}{8}) \cdot (5000 - 1000) \cdot \frac{0.7}{1 + 12.7 \cdot ({(\frac{0.04}{8})}^{0.5}) \cdot ({(0.7)}^{\frac{2}{3}} - 1)}

Next Step Evaluate

∴

Nu = 17.2849322852078

LAST Step Rounding Answer

∴

Nu = 17.2849

Nusselt Number for Transitional and Rough Flow in Circular Tube Formula Elements

Variables

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.

Symbol: Nu

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Nusselt Number

Darcy Friction Factor

Darcy Friction Factor is denoted by f. Its value depends on the flow's Reynolds number Re and on the pipe's relative roughness ε / D. It can be obtained from Moody's chart.

Symbol: f_Darcy

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Darcy Friction Factor

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.

Symbol: Re

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reynolds Number

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.

Symbol: Pr

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Prandtl Number

Other Formulas to find Nusselt Number

Go Nusselt Number using Dittus Boelter Equation for Cooling

Nu = 0.023 \cdot {(Re)}^{0.8} \cdot {(Pr)}^{0.3}

Go Nusselt Number using Dittus Boelter Equation for Heating

Nu = 0.023 \cdot {(Re)}^{0.8} \cdot {(Pr)}^{0.4}

Other formulas in Co Relation of Dimensionless Numbers category

Go Reynolds Number for Circular Tubes

Re = ρ \cdot u Fluid \cdot \frac{D Tube}{μ viscosity}

Go Reynolds Number for Non-Circular Tubes

Re = ρ \cdot u Fluid \cdot \frac{L c}{μ viscosity}

Go Prandtl Number

Pr = c \cdot \frac{μ viscosity}{k}

Go Stanton Number using Dimensionless Numbers

St = \frac{Nu}{Re \cdot Pr}

How to Evaluate Nusselt Number for Transitional and Rough Flow in Circular Tube?

Nusselt Number for Transitional and Rough Flow in Circular Tube evaluator uses 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)) to evaluate the Nusselt Number, The Nusselt Number for Transitional and Rough Flow in Circular Tube is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection (fluid motion) and diffusion (conduction). The conductive component is measured under the same conditions as the convective but for a hypothetically motionless fluid. It is a dimensionless number, closely related to the fluid's Rayleigh number. A Nusselt number of value one represents heat transfer by pure conduction. This calculator is based on the Gnielinski correlation. Nusselt Number is denoted by Nu symbol.

How to evaluate Nusselt Number for Transitional and Rough Flow in Circular Tube using this online evaluator? To use this online evaluator for Nusselt Number for Transitional and Rough Flow in Circular Tube, enter Darcy Friction Factor (f_Darcy), Reynolds Number (Re) & Prandtl Number (Pr) and hit the calculate button.

FAQs on Nusselt Number for Transitional and Rough Flow in Circular Tube

What is the formula to find Nusselt Number for Transitional and Rough Flow in Circular Tube?

The formula of Nusselt Number for Transitional and Rough Flow in Circular Tube is expressed as 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)). Here is an example- 17.28493 = (0.04/8)*(5000-1000)*0.7/(1+12.7*((0.04/8)^(0.5))*((0.7)^(2/3)-1)).

How to calculate Nusselt Number for Transitional and Rough Flow in Circular Tube?

With Darcy Friction Factor (f_Darcy), Reynolds Number (Re) & Prandtl Number (Pr) we can find Nusselt Number for Transitional and Rough Flow in Circular Tube using the formula - 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)).

What are the other ways to Calculate Nusselt Number?

Here are the different ways to Calculate Nusselt Number-

Nusselt Number=0.023*(Reynolds Number)^0.8*(Prandtl Number)^0.3
Nusselt Number=0.023*(Reynolds Number)^0.8*(Prandtl Number)^0.4

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Nusselt Number for Transitional and Rough Flow in Circular Tube Formula

​GoNusselt Number using Dittus Boelter Equation for Cooling Formula

​GoNusselt Number using Dittus Boelter Equation for Heating Formula

Nusselt Number for Transitional and Rough Flow in Circular Tube Example

Nusselt Number for Transitional and Rough Flow in Circular Tube Solution

Nusselt Number for Transitional and Rough Flow in Circular Tube Formula Elements

Other Formulas to find Nusselt Number

Other formulas in Co Relation of Dimensionless Numbers category

How to Evaluate Nusselt Number for Transitional and Rough Flow in Circular Tube?

FAQs on Nusselt Number for Transitional and Rough Flow in Circular Tube

Variable Name

GoNusselt Number using Dittus Boelter Equation for Cooling Formula

GoNusselt Number using Dittus Boelter Equation for Heating Formula