FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

1

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

2

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

3

GoNusselt number for short lengths Formula

Fx Copy

LaTeX Copy

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

With values

With units

Only example

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}

Tip: Use pencil () icon above to edit Input Values and Units.

Solution

Copy

Share

You are here -

Home » Physics » Mechanical » Heat and Mass Transfer » Nusselt number for simultaneous development of hydrodynamic and thermal layers for liquids

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.

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.

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.

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.

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.

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.

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.

Credits

Creator Image

Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has created this Formula and 500+ more formulas!

Verifier Image

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Formula and 2500+ more formulas!

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}

See More

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}

See More

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))

Spanish French German Russian Italian Portuguese Polish Dutch

© 2024-2026. Developed & Maintained by softUsvista Inc.

Let Others Know

✖

WhatsApp

Copied!