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

✖The Reynolds Number Dia is a dimensionless quantity that helps predict flow patterns in fluid mechanics, specifically for laminar flow in tubes based on diameter.ⓘ Reynolds Number Dia [Re_D]			+10% -10%
✖The Prandtl Number is a dimensionless quantity that relates the rate of momentum diffusion to thermal diffusion in fluid flow, indicating the relative importance of convection and conduction.ⓘ Prandtl Number [Pr]			+10% -10%
✖The Length is the measurement of the distance along the flow direction in a laminar flow scenario within tubes, influencing flow characteristics and heat transfer efficiency.ⓘ Length [L]			+10% -10%
✖The Diameter of Hydrodynamic Entry Tube is the width of the tube where fluid enters, influencing flow characteristics and pressure drop in laminar flow conditions.ⓘ Diameter of Hydrodynamic Entry Tube [D_hd]			+10% -10%
✖The Dynamic Viscosity at Bulk Temperature is a measure of a fluid's resistance to flow at a specific temperature, influencing the behavior of fluids in laminar flow conditions.ⓘ Dynamic Viscosity at Bulk Temperature [μ_bt]			+10% -10%
✖The Dynamic Viscosity at Wall Temperature is a measure of a fluid's resistance to flow at the temperature of the wall in laminar flow conditions.ⓘ Dynamic Viscosity at Wall Temperature [μ_w]			+10% -10%

✖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.ⓘ Nusselt number for simultaneous development of hydrodynamic and thermal layers for liquids [Nu]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Internal Flow Formula PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

Nusselt Number = 1.86*(((Reynolds Number Dia*Prandtl Number)/(Length/Diameter of Hydrodynamic Entry Tube))^0.333)*(Dynamic Viscosity at Bulk Temperature/Dynamic Viscosity at Wall Temperature)^0.14
Nu = 1.86*(((Re_D*Pr)/(L/D_hd))^0.333)*(μ_bt/μ_w)^0.14
This formula uses 7 Variables

Variables Used

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.
Reynolds Number Dia - The Reynolds Number Dia is a dimensionless quantity that helps predict flow patterns in fluid mechanics, specifically for laminar flow in tubes based on diameter.
Prandtl Number - The Prandtl Number is a dimensionless quantity that relates the rate of momentum diffusion to thermal diffusion in fluid flow, indicating the relative importance of convection and conduction.
Length - (Measured in Meter) - The Length is the measurement of the distance along the flow direction in a laminar flow scenario within tubes, influencing flow characteristics and heat transfer efficiency.
Diameter of Hydrodynamic Entry Tube - (Measured in Meter) - The Diameter of Hydrodynamic Entry Tube is the width of the tube where fluid enters, influencing flow characteristics and pressure drop in laminar flow conditions.
Dynamic Viscosity at Bulk Temperature - The Dynamic Viscosity at Bulk Temperature is a measure of a fluid's resistance to flow at a specific temperature, influencing the behavior of fluids in laminar flow conditions.
Dynamic Viscosity at Wall Temperature - The Dynamic Viscosity at Wall Temperature is a measure of a fluid's resistance to flow at the temperature of the wall in laminar flow conditions.

STEP 1: Convert Input(s) to Base Unit

Reynolds Number Dia: 1600 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
Diameter of Hydrodynamic Entry Tube: 0.046875 Meter --> 0.046875 Meter No Conversion Required
Dynamic Viscosity at Bulk Temperature: 0.0011 --> No Conversion Required
Dynamic Viscosity at Wall Temperature: 0.0018 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu = 1.86*(((Re_D*Pr)/(L/D_hd))^0.333)*(μ_bt/μ_w)^0.14 --> 1.86*(((1600*0.7)/(3/0.046875))^0.333)*(0.0011/0.0018)^0.14

Evaluating ... ...

Nu = 4.50299473978533

STEP 3: Convert Result to Output's Unit

4.50299473978533 --> No Conversion Required

FINAL ANSWER

4.50299473978533 ≈ 4.502995 <-- 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 for liquids

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 of Hydrodynamic Entry Tube = Length/(0.04*Reynolds Number Dia)

Hydrodynamic entry length

LaTeX Go Length = 0.04*Diameter of Hydrodynamic Entry Tube*Reynolds Number Dia

Reynolds Number given Darcy Friction Factor

LaTeX Go Reynolds Number Dia = 64/Darcy Friction Factor

Darcy friction factor

LaTeX Go Darcy Friction Factor = 64/Reynolds Number Dia

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

Nusselt number for simultaneous development of hydrodynamic and thermal layers for liquids calculator uses Nusselt Number = 1.86*(((Reynolds Number Dia*Prandtl Number)/(Length/Diameter of Hydrodynamic Entry Tube))^0.333)*(Dynamic Viscosity at Bulk Temperature/Dynamic Viscosity at Wall Temperature)^0.14 to calculate the Nusselt Number, Nusselt number for simultaneous development of hydrodynamic and thermal layers for liquids formula is defined as a dimensionless quantity that characterizes the convective heat transfer relative to conductive heat transfer in fluid flow, particularly in laminar conditions within tubes. Nusselt Number is denoted by Nu symbol.

How to calculate Nusselt number for simultaneous development of hydrodynamic and thermal layers for liquids using this online calculator? To use this online calculator 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 of Hydrodynamic Entry Tube (D_hd), Dynamic Viscosity at Bulk Temperature (μ_bt) & Dynamic Viscosity at Wall Temperature (μ_w) and hit the calculate button. Here is how the Nusselt number for simultaneous development of hydrodynamic and thermal layers for liquids calculation can be explained with given input values -> 4.896104 = 1.86*(((1600*0.7)/(3/0.046875))^0.333)*(0.0011/0.0018)^0.14.

FAQ

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

Nusselt number for simultaneous development of hydrodynamic and thermal layers for liquids formula is defined as a dimensionless quantity that characterizes the convective heat transfer relative to conductive heat transfer in fluid flow, particularly in laminar conditions within tubes and is represented as Nu = 1.86*(((Re_D*Pr)/(L/D_hd))^0.333)*(μ_bt/μ_w)^0.14 or Nusselt Number = 1.86*(((Reynolds Number Dia*Prandtl Number)/(Length/Diameter of Hydrodynamic Entry Tube))^0.333)*(Dynamic Viscosity at Bulk Temperature/Dynamic Viscosity at Wall Temperature)^0.14. The Reynolds Number Dia is a dimensionless quantity that helps predict flow patterns in fluid mechanics, specifically for laminar flow in tubes based on diameter, The Prandtl Number is a dimensionless quantity that relates the rate of momentum diffusion to thermal diffusion in fluid flow, indicating the relative importance of convection and conduction, The Length is the measurement of the distance along the flow direction in a laminar flow scenario within tubes, influencing flow characteristics and heat transfer efficiency, The Diameter of Hydrodynamic Entry Tube is the width of the tube where fluid enters, influencing flow characteristics and pressure drop in laminar flow conditions, The Dynamic Viscosity at Bulk Temperature is a measure of a fluid's resistance to flow at a specific temperature, influencing the behavior of fluids in laminar flow conditions & The Dynamic Viscosity at Wall Temperature is a measure of a fluid's resistance to flow at the temperature of the wall in laminar flow conditions.

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

Nusselt number for simultaneous development of hydrodynamic and thermal layers for liquids formula is defined as a dimensionless quantity that characterizes the convective heat transfer relative to conductive heat transfer in fluid flow, particularly in laminar conditions within tubes is calculated using Nusselt Number = 1.86*(((Reynolds Number Dia*Prandtl Number)/(Length/Diameter of Hydrodynamic Entry Tube))^0.333)*(Dynamic Viscosity at Bulk Temperature/Dynamic Viscosity at Wall Temperature)^0.14. To calculate Nusselt number for simultaneous development of hydrodynamic and thermal layers for liquids, you need Reynolds Number Dia (Re_D), Prandtl Number (Pr), Length (L), Diameter of Hydrodynamic Entry Tube (D_hd), Dynamic Viscosity at Bulk Temperature (μ_bt) & Dynamic Viscosity at Wall Temperature (μ_w). With our tool, you need to enter the respective value for Reynolds Number Dia, Prandtl Number, Length, Diameter of Hydrodynamic Entry Tube, Dynamic Viscosity at Bulk Temperature & Dynamic Viscosity at Wall Temperature 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, Length, Diameter of Hydrodynamic Entry Tube, Dynamic Viscosity at Bulk Temperature & Dynamic Viscosity at Wall Temperature. We can use 3 other way(s) to calculate the same, which is/are as follows -

Nusselt Number = 3.66+((0.0668*(Diameter of Hydrodynamic Entry Tube/Length)*Reynolds Number Dia*Prandtl Number)/(1+0.04*((Diameter of Hydrodynamic Entry Tube/Length)*Reynolds Number Dia*Prandtl Number)^0.67))
Nusselt Number = 1.67*(Reynolds Number Dia*Prandtl Number*Diameter of Hydrodynamic Entry Tube/Length)^0.333
Nusselt Number = 3.66+((0.104*(Reynolds Number Dia*Prandtl Number*(Diameter of Thermal Entry Tube/Length)))/(1+0.16*(Reynolds Number Dia*Prandtl Number*(Diameter of Thermal Entry Tube/Length))^0.8))

Home

FREE PDFs

🔍 Search