Nusselt number for simultaneous development of hydrodynamic and thermal layers Calculator

✖Reynolds Number Dia is the ratio of inertial forces to viscous forces.ⓘ Reynolds Number Dia [Re_D]			+10% -10%
✖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.ⓘ Prandtl Number [Pr]			+10% -10%
✖Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.ⓘ Diameter [D]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+10% -10%

✖The Nusselt Number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion.ⓘ Nusselt number for simultaneous development of hydrodynamic and thermal layers [Nu]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Internal Flow Formula PDF PDF Image

Nusselt number for simultaneous development of hydrodynamic and thermal layers Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
Nu = 3.66+((0.104*(Re_D*Pr*(D/L)))/(1+0.16*(Re_D*Pr*(D/L))^0.8))
This formula uses 5 Variables

Variables Used

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.
Reynolds Number Dia - Reynolds Number Dia is the ratio of inertial forces to viscous forces.
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.
Diameter - (Measured in Meter) - Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.

STEP 1: Convert Input(s) to Base Unit

Reynolds Number Dia: 1600 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required
Diameter: 10 Meter --> 10 Meter No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu = 3.66+((0.104*(Re_D*Pr*(D/L)))/(1+0.16*(Re_D*Pr*(D/L))^0.8)) --> 3.66+((0.104*(1600*0.7*(10/3)))/(1+0.16*(1600*0.7*(10/3))^0.8))

Evaluating ... ...

Nu = 6.99873560379144

STEP 3: Convert Result to Output's Unit

6.99873560379144 --> No Conversion Required

FINAL ANSWER

6.99873560379144 ≈ 6.998736 <-- Nusselt Number

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Heat and Mass Transfer » Internal Flow » Flow inside tubes » Mechanical » Laminar Flow » Nusselt number for simultaneous development of hydrodynamic and thermal layers

Credits

Created by Nishan Poojary

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

Nishan Poojary has created this Calculator and 500+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< Laminar Flow Calculators

Diameter of hydrodynamic entry tube

LaTeX Go Diameter = Length/(0.04*Reynolds Number Dia)

Hydrodynamic entry length

LaTeX Go Length = 0.04*Diameter*Reynolds Number Dia

Darcy friction factor

LaTeX Go Darcy Friction Factor = 64/Reynolds Number Dia

Reynolds Number given Darcy Friction Factor

LaTeX Go Reynolds Number = 64/Darcy Friction Factor

Nusselt number for simultaneous development of hydrodynamic and thermal layers Formula

LaTeX Go

What is internal flow?

internal flow is a flow for which the fluid is confined by a surface. Hence the boundary layer is unable to develop without eventually being constrained. The internal flow configuration represents a convenient geometry for heating and cooling fluids used in chemical processing, environmental control, and energy conversion technologies.

An example includes flow in a pipe.

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

Nusselt number for simultaneous development of hydrodynamic and thermal layers calculator 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 calculate 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 calculate Nusselt number for simultaneous development of hydrodynamic and thermal layers using this online calculator? To use this online calculator 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. Here is how the Nusselt number for simultaneous development of hydrodynamic and thermal layers calculation can be explained with given input values -> 6.998736 = 3.66+((0.104*(1600*0.7*(10/3)))/(1+0.16*(1600*0.7*(10/3))^0.8)).

FAQ

What is Nusselt number for simultaneous development of hydrodynamic and thermal layers?

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 and is represented as Nu = 3.66+((0.104*(Re_D*Pr*(D/L)))/(1+0.16*(Re_D*Pr*(D/L))^0.8)) or 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)). Reynolds Number Dia is the ratio of inertial forces to viscous forces, 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, Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere & Length is the measurement or extent of something from end to end.

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

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 is calculated using 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 calculate Nusselt number for simultaneous development of hydrodynamic and thermal layers, you need Reynolds Number Dia (Re_D), Prandtl Number (Pr), Diameter (D) & Length (L). With our tool, you need to enter the respective value for Reynolds Number Dia, Prandtl Number, Diameter & Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Nusselt Number?

In this formula, Nusselt Number uses Reynolds Number Dia, Prandtl Number, Diameter & Length. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search