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Nusselt number at entrance region Formula

GoNusselt number for Smooth tubes Formula

GoNusselt number for liquid metals at constant wall temperature Formula

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The Nusselt Number is a dimensionless quantity that represents the ratio of convective to conductive heat transfer in fluid flow, indicating the efficiency of heat transfer. Check FAQs

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

Nu - Nusselt Number?Re_D - Reynolds Number Dia?Pr - Prandtl Number?D - Diameter?L - Length?

Nusselt number at entrance region Example

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Here is how the Nusselt number at entrance region equation looks like with Values.

Here is how the Nusselt number at entrance region equation looks like with Units.

Here is how the Nusselt number at entrance region equation looks like.

10.9638 = 0.036 \cdot (1600^{0.8}) \cdot ({0.7}^{0.33}) \cdot {(\frac{10}{33})}^{0.055}

10.9638 = 0.036 \cdot (1600^{0.8}) \cdot ({0.7}^{0.33}) \cdot {(\frac{10m}{33m})}^{0.055}

10.9638 = 0.036 \cdot (1600^{0.8}) \cdot ({0.7}^{0.33}) \cdot {(\frac{10}{33})}^{0.055}

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Nusselt number at entrance region Solution

Follow our step by step solution on how to calculate Nusselt number at entrance region?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Nu = 0.036 \cdot (1600^{0.8}) \cdot ({0.7}^{0.33}) \cdot {(\frac{10m}{33m})}^{0.055}

Next Step Prepare to Evaluate

∴

Nu = 0.036 \cdot (1600^{0.8}) \cdot ({0.7}^{0.33}) \cdot {(\frac{10}{33})}^{0.055}

Next Step Evaluate

∴

Nu = 10.9638370800075

LAST Step Rounding Answer

∴

Nu = 10.9638

Nusselt number at entrance region Formula Elements

Variables

Nusselt Number

The Nusselt Number is a dimensionless quantity that represents the ratio of convective to conductive heat transfer in fluid flow, indicating the efficiency of heat transfer.

Symbol: Nu

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Nusselt Number

Reynolds Number Dia

The Reynolds Number Dia is a dimensionless quantity used to predict flow patterns in fluid mechanics, specifically for turbulent flow in pipes based on diameter.

Symbol: Re_D

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reynolds Number Dia

Prandtl Number

The Prandtl Number is a dimensionless quantity that relates the rate of momentum diffusion to the rate of thermal diffusion in fluid flow, indicating the relative importance of these processes.

Symbol: Pr

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Prandtl Number

Diameter

The Diameter is the straight line passing through the center of a circle or tube, connecting two points on its boundary, crucial for understanding flow characteristics in turbulent systems.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter

Length

The Length is the measurement of the distance along a flow path in turbulent flow conditions within tubes, influencing the flow characteristics and heat transfer efficiency.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length

Other Formulas to find Nusselt Number

Go Nusselt number for Smooth tubes

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

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 at entrance region?

Nusselt number at entrance region evaluator uses Nusselt Number = 0.036*(Reynolds Number Dia^0.8)*(Prandtl Number^0.33)*(Diameter/Length)^0.055 to evaluate the Nusselt Number, The Nusselt number at entrance region formula is defined as 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 at entrance region using this online evaluator? To use this online evaluator for Nusselt number at entrance region, enter Reynolds Number Dia (Re_D), Prandtl Number (Pr), Diameter (D) & Length (L) and hit the calculate button.

FAQs on Nusselt number at entrance region

What is the formula to find Nusselt number at entrance region?

The formula of Nusselt number at entrance region is expressed as Nusselt Number = 0.036*(Reynolds Number Dia^0.8)*(Prandtl Number^0.33)*(Diameter/Length)^0.055. Here is an example- 12.50948 = 0.036*(1600^0.8)*(0.7^0.33)*(10/33)^0.055.

How to calculate Nusselt number at entrance region?

With Reynolds Number Dia (Re_D), Prandtl Number (Pr), Diameter (D) & Length (L) we can find Nusselt number at entrance region using the formula - Nusselt Number = 0.036*(Reynolds Number Dia^0.8)*(Prandtl Number^0.33)*(Diameter/Length)^0.055.

What are the other ways to Calculate Nusselt Number?

Here are the different ways to Calculate Nusselt Number-

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
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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: Unit

Nusselt number at entrance region Formula

​GoNusselt number for Smooth tubes Formula

​GoNusselt number for liquid metals at constant wall temperature Formula

Nusselt number at entrance region Example

Nusselt number at entrance region Solution

Nusselt number at entrance region Formula Elements

Other Formulas to find Nusselt Number

Other formulas in Turbulent Flow category

How to Evaluate Nusselt number at entrance region?

FAQs on Nusselt number at entrance region

Variable Name

GoNusselt number for Smooth tubes Formula

GoNusselt number for liquid metals at constant wall temperature Formula