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Nusselt number for simultaneous development of hydrodynamic and thermal layers Formula

GoNusselt number for hydrodynamic length fully developed and thermal length still developing Formula

GoNusselt number for short lengths 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 = 3.66 + (\frac{0.104 \cdot (Re D \cdot Pr \cdot (\frac{D}{L}))}{1 + 0.16 \cdot {(Re D \cdot Pr \cdot (\frac{D}{L}))}^{0.8}})

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

Nusselt number for simultaneous development of hydrodynamic and thermal layers Example

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Here is how the Nusselt number for simultaneous development of hydrodynamic and thermal layers equation looks like with Values.

Here is how the Nusselt number for simultaneous development of hydrodynamic and thermal layers equation looks like with Units.

Here is how the Nusselt number for simultaneous development of hydrodynamic and thermal layers equation looks like.

6.9987 = 3.66 + (\frac{0.104 \cdot (1600 \cdot 0.7 \cdot (\frac{10}{3}))}{1 + 0.16 \cdot {(1600 \cdot 0.7 \cdot (\frac{10}{3}))}^{0.8}})

6.9987 = 3.66 + (\frac{0.104 \cdot (1600 \cdot 0.7 \cdot (\frac{10m}{3m}))}{1 + 0.16 \cdot {(1600 \cdot 0.7 \cdot (\frac{10m}{3m}))}^{0.8}})

6.9987 = 3.66 + (\frac{0.104 \cdot (1600 \cdot 0.7 \cdot (\frac{10}{3}))}{1 + 0.16 \cdot {(1600 \cdot 0.7 \cdot (\frac{10}{3}))}^{0.8}})

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Nusselt number for simultaneous development of hydrodynamic and thermal layers Solution

Follow our step by step solution on how to calculate Nusselt number for simultaneous development of hydrodynamic and thermal layers?

FIRST Step Consider the formula

Nu = 3.66 + (\frac{0.104 \cdot (Re D \cdot Pr \cdot (\frac{D}{L}))}{1 + 0.16 \cdot {(Re D \cdot Pr \cdot (\frac{D}{L}))}^{0.8}})

Next Step Substitute values of Variables

∴

Nu = 3.66 + (\frac{0.104 \cdot (1600 \cdot 0.7 \cdot (\frac{10m}{3m}))}{1 + 0.16 \cdot {(1600 \cdot 0.7 \cdot (\frac{10m}{3m}))}^{0.8}})

Next Step Prepare to Evaluate

∴

Nu = 3.66 + (\frac{0.104 \cdot (1600 \cdot 0.7 \cdot (\frac{10}{3}))}{1 + 0.16 \cdot {(1600 \cdot 0.7 \cdot (\frac{10}{3}))}^{0.8}})

Next Step Evaluate

∴

Nu = 6.99873560379144

LAST Step Rounding Answer

∴

Nu = 6.9987

Nusselt number for simultaneous development of hydrodynamic and thermal layers 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

Diameter

Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter

Length

Length is the measurement or extent of something from end to end.

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 hydrodynamic length fully developed and thermal length still developing

Nu = 3.66 + (\frac{0.0668 \cdot (\frac{D}{L}) \cdot Re D \cdot Pr}{1 + 0.04 \cdot {((\frac{D}{L}) \cdot Re D \cdot Pr)}^{0.67}})

Go Nusselt number for short lengths

Nu = 1.67 \cdot {(Re D \cdot Pr \cdot \frac{D}{L})}^{0.333}

Go Nusselt number for simultaneous development of hydrodynamic and thermal layers for liquids

Nu = 1.86 \cdot ({(\frac{Re D \cdot Pr}{\frac{L}{D}})}^{0.333}) \cdot {(\frac{μ bt}{μ w})}^{0.14}

Go Nusselt number for short tube thermal development

Nu = 1.30 \cdot {(\frac{Re D \cdot Pr}{\frac{L}{D}})}^{0.333}

Other formulas in Laminar Flow category

Go Darcy friction factor

df = \frac{64}{Re D}

Go Reynolds Number given Darcy Friction Factor

Re = \frac{64}{df}

Go Hydrodynamic entry length

L = 0.04 \cdot D \cdot Re D

Go Diameter of hydrodynamic entry tube

D = \frac{L}{0.04 \cdot Re D}

How to Evaluate Nusselt number for simultaneous development of hydrodynamic and thermal layers?

Nusselt number for simultaneous development of hydrodynamic and thermal layers evaluator uses Nusselt Number = 3.66+((0.104*(Reynolds Number Dia*Prandtl Number*(Diameter/Length)))/(1+0.16*(Reynolds Number Dia*Prandtl Number*(Diameter/Length))^0.8)) to evaluate the Nusselt Number, The Nusselt number for simultaneous development of hydrodynamic and thermal layers 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 for simultaneous development of hydrodynamic and thermal layers using this online evaluator? To use this online evaluator for Nusselt number for simultaneous development of hydrodynamic and thermal layers, enter Reynolds Number Dia (Re_D), Prandtl Number (Pr), Diameter (D) & Length (L) and hit the calculate button.

FAQs on Nusselt number for simultaneous development of hydrodynamic and thermal layers

What is the formula to find Nusselt number for simultaneous development of hydrodynamic and thermal layers?

The formula of Nusselt number for simultaneous development of hydrodynamic and thermal layers is expressed as Nusselt Number = 3.66+((0.104*(Reynolds Number Dia*Prandtl Number*(Diameter/Length)))/(1+0.16*(Reynolds Number Dia*Prandtl Number*(Diameter/Length))^0.8)). Here is an example- 6.998736 = 3.66+((0.104*(1600*0.7*(10/3)))/(1+0.16*(1600*0.7*(10/3))^0.8)).

How to calculate Nusselt number for simultaneous development of hydrodynamic and thermal layers?

With Reynolds Number Dia (Re_D), Prandtl Number (Pr), Diameter (D) & Length (L) we can find Nusselt number for simultaneous development of hydrodynamic and thermal layers using the formula - Nusselt Number = 3.66+((0.104*(Reynolds Number Dia*Prandtl Number*(Diameter/Length)))/(1+0.16*(Reynolds Number Dia*Prandtl Number*(Diameter/Length))^0.8)).

What are the other ways to Calculate Nusselt Number?

Here are the different ways to Calculate Nusselt Number-

Nusselt Number=3.66+((0.0668*(Diameter/Length)*Reynolds Number Dia*Prandtl Number)/(1+0.04*((Diameter/Length)*Reynolds Number Dia*Prandtl Number)^0.67))
Nusselt Number=1.67*(Reynolds Number Dia*Prandtl Number*Diameter/Length)^0.333
Nusselt Number=1.86*(((Reynolds Number Dia*Prandtl Number)/(Length/Diameter))^0.333)*(Dynamic Viscosity at Bulk Temperature/Dynamic Viscosity at Wall Temperature)^0.14

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Nusselt number for simultaneous development of hydrodynamic and thermal layers Formula

​GoNusselt number for hydrodynamic length fully developed and thermal length still developing Formula

​GoNusselt number for short lengths Formula

Nusselt number for simultaneous development of hydrodynamic and thermal layers Example

Nusselt number for simultaneous development of hydrodynamic and thermal layers Solution

Nusselt number for simultaneous development of hydrodynamic and thermal layers Formula Elements

Other Formulas to find Nusselt Number

Other formulas in Laminar Flow category

How to Evaluate Nusselt number for simultaneous development of hydrodynamic and thermal layers?

FAQs on Nusselt number for simultaneous development of hydrodynamic and thermal layers

Variable Name

GoNusselt number for hydrodynamic length fully developed and thermal length still developing Formula

GoNusselt number for short lengths Formula