Nusselt number for Smooth tubes 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%
✖Dynamic Viscosity at Mean Temperature is the measurement of the fluid's internal resistance to flow at the mean temperature.ⓘ Dynamic Viscosity at Mean Temperature [μ_m]			+10% -10%
✖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.ⓘ Dynamic Viscosity at Wall Temperature [μ_w]			+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 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 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.
Dynamic Viscosity at Mean Temperature - Dynamic Viscosity at Mean Temperature is the measurement of the fluid's internal resistance to flow at the mean 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.

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: 0.0016 --> 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)*(0.0016/0.0018)^0.14

Evaluating ... ...

Nu = 8.62811737398864

STEP 3: Convert Result to Output's Unit

8.62811737398864 --> No Conversion Required

FINAL ANSWER

8.62811737398864 ≈ 8.628117 <-- Nusselt Number

(Calculation completed in 00.004 seconds)

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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

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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 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 -> 8.628117 = 0.027*(1600^0.8)*(0.7^0.333)*(0.0016/0.0018)^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. 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, Dynamic Viscosity at Mean Temperature is the measurement of the fluid's internal resistance to flow at the mean 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.

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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