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Nusselt number for Smooth tubes Formula

GoNusselt number at entrance region Formula

GoNusselt number for liquid metals at constant wall temperature Formula

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The 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 = 0.027 \cdot ({Re D}^{0.8}) \cdot ({Pr}^{0.333}) \cdot {(\frac{μ m}{μ w})}^{0.14}

Nu - Nusselt Number?Re_D - Reynolds Number Dia?Pr - Prandtl Number?μ_m - Dynamic Viscosity at Mean Temperature?μ_w - Dynamic Viscosity at Wall Temperature?

Nusselt number for Smooth tubes Example

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Here is how the Nusselt number for Smooth tubes equation looks like with Values.

Here is how the Nusselt number for Smooth tubes equation looks like with Units.

Here is how the Nusselt number for Smooth tubes equation looks like.

8.6281 = 0.027 \cdot (1600^{0.8}) \cdot ({0.7}^{0.333}) \cdot {(\frac{0.0016}{0.0018})}^{0.14}

8.6281 = 0.027 \cdot (1600^{0.8}) \cdot ({0.7}^{0.333}) \cdot {(\frac{0.0016}{0.0018})}^{0.14}

8.6281 = 0.027 \cdot (1600^{0.8}) \cdot ({0.7}^{0.333}) \cdot {(\frac{0.0016}{0.0018})}^{0.14}

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Nusselt number for Smooth tubes Solution

Follow our step by step solution on how to calculate Nusselt number for Smooth tubes?

FIRST Step Consider the formula

Nu = 0.027 \cdot ({Re D}^{0.8}) \cdot ({Pr}^{0.333}) \cdot {(\frac{μ m}{μ w})}^{0.14}

Next Step Substitute values of Variables

∴

Nu = 0.027 \cdot (1600^{0.8}) \cdot ({0.7}^{0.333}) \cdot {(\frac{0.0016}{0.0018})}^{0.14}

Next Step Prepare to Evaluate

∴

Nu = 0.027 \cdot (1600^{0.8}) \cdot ({0.7}^{0.333}) \cdot {(\frac{0.0016}{0.0018})}^{0.14}

Next Step Evaluate

∴

Nu = 8.62811737398864

LAST Step Rounding Answer

∴

Nu = 8.6281

Nusselt number for Smooth tubes Formula Elements

Variables

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.

Symbol: Nu

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Nusselt Number

Reynolds Number Dia

Reynolds Number Dia is the ratio of inertial forces to viscous forces.

Symbol: Re_D

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reynolds Number Dia

Prandtl Number

The 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

Dynamic Viscosity at Mean Temperature

Dynamic Viscosity at Mean Temperature is the measurement of the fluid's internal resistance to flow at the mean temperature.

Symbol: μ_m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity at Mean Temperature

Dynamic Viscosity at Wall Temperature

Dynamic Viscosity at Wall Temperature is the external force offered by the fluid to the wall of the object at the temperature of its surface.

Symbol: μ_w

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Dynamic Viscosity at Wall Temperature

Other Formulas to find Nusselt Number

Go Nusselt number at entrance region

Nu = 0.036 \cdot ({Re D}^{0.8}) \cdot ({Pr}^{0.33}) \cdot {(\frac{D}{L})}^{0.055}

Go Nusselt number for liquid metals at constant wall temperature

Nu = 5 + 0.025 \cdot {(Re D \cdot Pr)}^{0.8}

Go Nusselt number for constant heat flux

Nu = 4.82 + 0.0185 \cdot {(Re D \cdot Pr)}^{0.827}

Go Nusselt number for smooth tubes and fully developed flow

Nu = 0.625 \cdot {(Re D \cdot Pr)}^{0.4}

Other formulas in Turbulent Flow category

Go Friction factor for Re greater than 2300

f = 0.25 \cdot {(1.82 \cdot \log 10 (Re D) - 1.64)}^{- 2}

Go Friction factor for Re greater than 10000

f = 0.184 \cdot {Re D}^{- 0.2}

Go Friction factor for rough tubes

f = \frac{1.325}{{(\ln ((\frac{e}{3.7} \cdot D) + (\frac{5.74}{{Re}^{0.9}})))}^{2}}

Go Friction factor for transitional turbulent flow

f = 0.316 \cdot {Re D}^{- 0.25}

How to Evaluate Nusselt number for Smooth tubes?

Nusselt number for Smooth tubes evaluator uses Nusselt Number = 0.027*(Reynolds Number Dia^0.8)*(Prandtl Number^0.333)*(Dynamic Viscosity at Mean Temperature/Dynamic Viscosity at Wall Temperature)^0.14 to evaluate the Nusselt Number, The Nusselt number for Smooth tubes formula is defined as is a measure of the ratio between heat transfer by convection (α) and heat transfer by conduction alone. Nusselt Number is denoted by Nu symbol.

How to evaluate Nusselt number for Smooth tubes using this online evaluator? To use this online evaluator for Nusselt number for Smooth tubes, enter Reynolds Number Dia (Re_D), Prandtl Number (Pr), Dynamic Viscosity at Mean Temperature (μ_m) & Dynamic Viscosity at Wall Temperature (μ_w) and hit the calculate button.

FAQs on Nusselt number for Smooth tubes

What is the formula to find Nusselt number for Smooth tubes?

The formula of Nusselt number for Smooth tubes is expressed as Nusselt Number = 0.027*(Reynolds Number Dia^0.8)*(Prandtl Number^0.333)*(Dynamic Viscosity at Mean Temperature/Dynamic Viscosity at Wall Temperature)^0.14. Here is an example- 8.628117 = 0.027*(1600^0.8)*(0.7^0.333)*(0.0016/0.0018)^0.14.

How to calculate Nusselt number for Smooth tubes?

With Reynolds Number Dia (Re_D), Prandtl Number (Pr), Dynamic Viscosity at Mean Temperature (μ_m) & Dynamic Viscosity at Wall Temperature (μ_w) we can find Nusselt number for Smooth tubes using the formula - Nusselt Number = 0.027*(Reynolds Number Dia^0.8)*(Prandtl Number^0.333)*(Dynamic Viscosity at Mean Temperature/Dynamic Viscosity at Wall Temperature)^0.14.

What are the other ways to Calculate Nusselt Number?

Here are the different ways to Calculate Nusselt Number-

Nusselt Number=0.036*(Reynolds Number Dia^0.8)*(Prandtl Number^0.33)*(Diameter/Length)^0.055
Nusselt Number=5+0.025*(Reynolds Number Dia*Prandtl Number)^0.8
Nusselt Number=4.82+0.0185*(Reynolds Number Dia*Prandtl Number)^0.827

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Nusselt number for Smooth tubes Formula

​GoNusselt number at entrance region Formula

​GoNusselt number for liquid metals at constant wall temperature Formula

Nusselt number for Smooth tubes Example

Nusselt number for Smooth tubes Solution

Nusselt number for Smooth tubes Formula Elements

Other Formulas to find Nusselt Number

Other formulas in Turbulent Flow category

How to Evaluate Nusselt number for Smooth tubes?

FAQs on Nusselt number for Smooth tubes

Variable Name

GoNusselt number at entrance region Formula

GoNusselt number for liquid metals at constant wall temperature Formula