Nusselt number for Smooth tubes Calculator

✖The Reynolds Number Dia is a dimensionless quantity used to predict flow patterns in fluid mechanics, specifically for turbulent flow in pipes 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 the rate of thermal diffusion in fluid flow, indicating the relative importance of these processes.ⓘ Prandtl Number [Pr]			+10% -10%
✖The Dynamic Viscosity at Mean Temperature is a measure of a fluid's resistance to flow under turbulent conditions, reflecting how temperature influences its flow characteristics.ⓘ Dynamic Viscosity at Mean Temperature [μ_m]			+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 turbulent 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 Smooth tubes [Nu]

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Nusselt number for Smooth tubes Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nusselt Number = 0.027*Reynolds Number Dia^0.8*Prandtl Number^0.333*(Dynamic Viscosity at Mean Temperature/Dynamic Viscosity at Wall Temperature)^0.14
Nu = 0.027*Re_D^0.8*Pr^0.333*(μ_m/μ_w)^0.14
This formula uses 5 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 used to predict flow patterns in fluid mechanics, specifically for turbulent flow in pipes based on diameter.
Prandtl Number - The Prandtl Number is a dimensionless quantity that relates the rate of momentum diffusion to the rate of thermal diffusion in fluid flow, indicating the relative importance of these processes.
Dynamic Viscosity at Mean Temperature - The Dynamic Viscosity at Mean Temperature is a measure of a fluid's resistance to flow under turbulent conditions, reflecting how temperature influences its flow characteristics.
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 turbulent flow conditions.

STEP 1: Convert Input(s) to Base Unit

Reynolds Number Dia: 1600 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required
Dynamic Viscosity at Mean Temperature: 0.0089 --> No Conversion Required
Dynamic Viscosity at Wall Temperature: 0.0018 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu = 0.027*Re_D^0.8*Pr^0.333*(μ_m/μ_w)^0.14 --> 0.027*1600^0.8*0.7^0.333*(0.0089/0.0018)^0.14

Evaluating ... ...

Nu = 10.971192818057

STEP 3: Convert Result to Output's Unit

10.971192818057 --> No Conversion Required

FINAL ANSWER

10.971192818057 ≈ 10.97119 <-- Nusselt Number

(Calculation completed in 00.004 seconds)

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< Turbulent Flow Calculators

Friction factor for rough tubes

LaTeX Go Friction Factor = 1.325/((ln((Surface Roughness/3.7*Diameter)+(5.74/(Reynolds Number^0.9))))^2)

Friction factor for Re greater than 2300

LaTeX Go Friction Factor = 0.25*(1.82*log10(Reynolds Number Dia)-1.64)^-2

Friction factor for Re greater than 10000

LaTeX Go Friction Factor = 0.184*Reynolds Number Dia^(-0.2)

Friction factor for transitional turbulent flow

LaTeX Go Friction Factor = 0.316*Reynolds Number Dia^-0.25

Nusselt number for Smooth tubes Formula

LaTeX Go

Nusselt Number = 0.027*Reynolds Number Dia^0.8*Prandtl Number^0.333*(Dynamic Viscosity at Mean Temperature/Dynamic Viscosity at Wall Temperature)^0.14
Nu = 0.027*Re_D^0.8*Pr^0.333*(μ_m/μ_w)^0.14

What is nusselt Number?

The Nusselt number is a dimensionless quantity used in heat transfer to describe the ratio of convective to conductive heat transfer across a boundary. It indicates the efficiency of heat transfer in a fluid flow system, with higher values representing more effective convection. Engineers use the Nusselt number to design and analyze heat exchangers, cooling systems, and thermal processes for optimal performance.

How to Calculate Nusselt number for Smooth tubes?

Nusselt number for Smooth tubes calculator uses Nusselt Number = 0.027*Reynolds Number Dia^0.8*Prandtl Number^0.333*(Dynamic Viscosity at Mean Temperature/Dynamic Viscosity at Wall Temperature)^0.14 to calculate the Nusselt Number, The Nusselt number for Smooth tubes formula is defined as is a measure of 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 Smooth tubes using this online calculator? To use this online calculator for Nusselt number for Smooth tubes, enter Reynolds Number Dia (Re_D), Prandtl Number (Pr), Dynamic Viscosity at Mean Temperature (μ_m) & Dynamic Viscosity at Wall Temperature (μ_w) and hit the calculate button. Here is how the Nusselt number for Smooth tubes calculation can be explained with given input values -> 10.97119 = 0.027*1600^0.8*0.7^0.333*(0.0089/0.0018)^0.14.

FAQ

What is Nusselt number for Smooth tubes?

The Nusselt number for Smooth tubes formula is defined as is a measure of the ratio between heat transfer by convection (α) and heat transfer by conduction alone and is represented as Nu = 0.027*Re_D^0.8*Pr^0.333*(μ_m/μ_w)^0.14 or Nusselt Number = 0.027*Reynolds Number Dia^0.8*Prandtl Number^0.333*(Dynamic Viscosity at Mean Temperature/Dynamic Viscosity at Wall Temperature)^0.14. The Reynolds Number Dia is a dimensionless quantity used to predict flow patterns in fluid mechanics, specifically for turbulent flow in pipes based on diameter, The Prandtl Number is a dimensionless quantity that relates the rate of momentum diffusion to the rate of thermal diffusion in fluid flow, indicating the relative importance of these processes, The Dynamic Viscosity at Mean Temperature is a measure of a fluid's resistance to flow under turbulent conditions, reflecting how temperature influences its flow characteristics & The Dynamic Viscosity at Wall Temperature is a measure of a fluid's resistance to flow at the temperature of the wall in turbulent flow conditions.

How to calculate Nusselt number for Smooth tubes?

The Nusselt number for Smooth tubes formula is defined as is a measure of the ratio between heat transfer by convection (α) and heat transfer by conduction alone is calculated using Nusselt Number = 0.027*Reynolds Number Dia^0.8*Prandtl Number^0.333*(Dynamic Viscosity at Mean Temperature/Dynamic Viscosity at Wall Temperature)^0.14. To calculate Nusselt number for Smooth tubes, you need Reynolds Number Dia (Re_D), Prandtl Number (Pr), Dynamic Viscosity at Mean Temperature (μ_m) & Dynamic Viscosity at Wall Temperature (μ_w). With our tool, you need to enter the respective value for Reynolds Number Dia, Prandtl Number, Dynamic Viscosity at Mean 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, Dynamic Viscosity at Mean Temperature & Dynamic Viscosity at Wall Temperature. We can use 3 other way(s) to calculate the same, which is/are as follows -

Nusselt Number = 0.036*(Reynolds Number Dia^0.8)*(Prandtl Number^0.33)*(Diameter/Length)^0.055
Nusselt Number = 5+0.025*(Reynolds Number Dia*Prandtl Number)^0.8
Nusselt Number = 4.82+0.0185*(Reynolds Number Dia*Prandtl Number)^0.827

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