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Nusselt number for simultaneous development of hydrodynamic and thermal layers for liquids 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 = 1.86 \cdot ({(\frac{Re D \cdot Pr}{\frac{L}{D}})}^{0.333}) \cdot {(\frac{μ bt}{μ w})}^{0.14}

Nu - Nusselt Number?Re_D - Reynolds Number Dia?Pr - Prandtl Number?L - Length?D - Diameter?μ_bt - Dynamic Viscosity at Bulk Temperature?μ_w - Dynamic Viscosity at Wall Temperature?

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

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

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

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

29.203 = 1.86 \cdot ({(\frac{1600 \cdot 0.7}{\frac{3}{10}})}^{0.333}) \cdot {(\frac{0.002}{0.0018})}^{0.14}

29.203 = 1.86 \cdot ({(\frac{1600 \cdot 0.7}{\frac{3m}{10m}})}^{0.333}) \cdot {(\frac{0.002}{0.0018})}^{0.14}

29.203 = 1.86 \cdot ({(\frac{1600 \cdot 0.7}{\frac{3}{10}})}^{0.333}) \cdot {(\frac{0.002}{0.0018})}^{0.14}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Nu = 1.86 \cdot ({(\frac{1600 \cdot 0.7}{\frac{3m}{10m}})}^{0.333}) \cdot {(\frac{0.002}{0.0018})}^{0.14}

Next Step Prepare to Evaluate

∴

Nu = 1.86 \cdot ({(\frac{1600 \cdot 0.7}{\frac{3}{10}})}^{0.333}) \cdot {(\frac{0.002}{0.0018})}^{0.14}

Next Step Evaluate

∴

Nu = 29.2029830664446

LAST Step Rounding Answer

∴

Nu = 29.203

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

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

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

Dynamic Viscosity at Bulk Temperature

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

Symbol: μ_bt

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity at Bulk 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 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}

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}

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

Nusselt number for simultaneous development of hydrodynamic and thermal layers for liquids evaluator uses 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 to evaluate the Nusselt Number, The Nusselt number for simultaneous development of hydrodynamic and thermal layers for liquids 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 for liquids using this online evaluator? To use this online evaluator for Nusselt number for simultaneous development of hydrodynamic and thermal layers for liquids, enter Reynolds Number Dia (Re_D), Prandtl Number (Pr), Length (L), Diameter (D), Dynamic Viscosity at Bulk Temperature (μ_bt) & Dynamic Viscosity at Wall Temperature (μ_w) and hit the calculate button.

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

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

The formula of Nusselt number for simultaneous development of hydrodynamic and thermal layers for liquids is expressed as 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. Here is an example- 29.20298 = 1.86*(((1600*0.7)/(3/10))^0.333)*(0.002/0.0018)^0.14.

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

With Reynolds Number Dia (Re_D), Prandtl Number (Pr), Length (L), Diameter (D), Dynamic Viscosity at Bulk Temperature (μ_bt) & Dynamic Viscosity at Wall Temperature (μ_w) we can find Nusselt number for simultaneous development of hydrodynamic and thermal layers for liquids using the formula - 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.

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=3.66+((0.104*(Reynolds Number Dia*Prandtl Number*(Diameter/Length)))/(1+0.16*(Reynolds Number Dia*Prandtl Number*(Diameter/Length))^0.8))

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

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

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

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

Variable Name

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

GoNusselt number for short lengths Formula