Nusselt Number given viscosity of fluid Calculator

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✖The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe.ⓘ Reynolds Number [Re]			+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%
✖The Average Viscosity of Fluid is a measure of its average resistance to deformation at a given rate.ⓘ Average Viscosity of Fluid [μ_avg]			+10% -10%
✖Wall viscosity is the viscosity of fluid in near wall during the turbulent flow.ⓘ Wall Viscosity [μ_wall]			+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 given viscosity of fluid [Nu]

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Formula

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Nusselt Number given viscosity of fluid

Formula

`"Nu" = ((0.027)*(("Re")^(0.8)))* (("Pr")^(1/3))* (("μ"_{"avg"}/"μ"_{"wall"})^(0.14)) `

Example

`"45.81946"= ((0.027)*(("5000")^(0.8)))* (("0.7")^(1/3))* (("20Pa*s"/"0.1Pa*s")^(0.14)) `

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Nusselt Number given viscosity of fluid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nusselt Number = ((0.027)*((Reynolds Number)^(0.8)))* ((Prandtl Number)^(1/3))* ((Average Viscosity of Fluid/Wall Viscosity)^(0.14))
Nu = ((0.027)*((Re)^(0.8)))* ((Pr)^(1/3))* ((μ_avg/μ_wall)^(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 - The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe.
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.
Average Viscosity of Fluid - (Measured in Pascal Second) - The Average Viscosity of Fluid is a measure of its average resistance to deformation at a given rate.
Wall Viscosity - (Measured in Pascal Second) - Wall viscosity is the viscosity of fluid in near wall during the turbulent flow.

STEP 1: Convert Input(s) to Base Unit

Reynolds Number: 5000 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required
Average Viscosity of Fluid: 20 Pascal Second --> 20 Pascal Second No Conversion Required
Wall Viscosity: 0.1 Pascal Second --> 0.1 Pascal Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu = ((0.027)*((Re)^(0.8)))* ((Pr)^(1/3))* ((μ_avg/μ_wall)^(0.14)) --> ((0.027)*((5000)^(0.8)))* ((0.7)^(1/3))* ((20/0.1)^(0.14))

Evaluating ... ...

Nu = 45.819461456282

STEP 3: Convert Result to Output's Unit

45.819461456282 --> No Conversion Required

FINAL ANSWER

45.819461456282 ≈ 45.81946 <-- Nusselt Number

(Calculation completed in 00.020 seconds)

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< 14 Turbulent Flow Calculators

Nusselt number for Smooth tubes

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

Nusselt Number given viscosity of fluid

Go Nusselt Number = ((0.027)*((Reynolds Number)^(0.8)))* ((Prandtl Number)^(1/3))* ((Average Viscosity of Fluid/Wall Viscosity)^(0.14))

Friction factor for rough tubes

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

Nusselt number at entrance region

Go Nusselt Number = 0.036*(Reynolds Number Dia^0.8)*(Prandtl Number^0.33)*(Diameter/Length)^0.055

Nusselt number for short pipes

Go Nusselt Number for Short Pipes = Nusselt Number*(1+(Constant a/(Length/Diameter)))

Nusselt number for constant heat flux

Go Nusselt Number = 4.82+0.0185*(Reynolds Number Dia*Prandtl Number)^0.827

Nusselt number for liquid metals at constant wall temperature

Go Nusselt Number = 5+0.025*(Reynolds Number Dia*Prandtl Number)^0.8

Friction factor for Re greater than 2300

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

Nusselt number for smooth tubes and fully developed flow

Go Nusselt Number = 0.625*(Reynolds Number Dia*Prandtl Number)^0.4

Stanton number at bulk temperature

Go Stanton Number = Friction Factor/(8*(Prandtl Number^0.67))

Friction factor for rough tube Colburn analogy

Go Friction Factor = 8*Stanton Number*(Prandtl Number^0.67)

Friction factor for Re greater than 10000

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

Friction factor for transitional turbulent flow

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

Nusselt number for thermal entry region

Go Nusselt Number = 3.0*Reynolds Number Dia^0.0833

Nusselt Number given viscosity of fluid Formula

What does Fluid viscosity mean?

The viscosity of a fluid is a measure of its resistance to deformation at a given rate. For liquids, it corresponds to the informal concept of "thickness".

What is the relation between nusselt, reynolds and prandtl number?

Nusselt number is an important parameter that can contribute to a better rate of heat exchange. It is basically a function of Reynolds and Prandtl numbers.

How to Calculate Nusselt Number given viscosity of fluid?

Nusselt Number given viscosity of fluid calculator uses Nusselt Number = ((0.027)*((Reynolds Number)^(0.8)))* ((Prandtl Number)^(1/3))* ((Average Viscosity of Fluid/Wall Viscosity)^(0.14)) to calculate the Nusselt Number, The Nusselt Number given viscosity of fluid formula is defined as the product of ratios between average fluid viscosity and viscosity of the fluid at wall temperature. Nusselt Number is denoted by Nu symbol.

How to calculate Nusselt Number given viscosity of fluid using this online calculator? To use this online calculator for Nusselt Number given viscosity of fluid, enter Reynolds Number (Re), Prandtl Number (Pr), Average Viscosity of Fluid (μ_avg) & Wall Viscosity (μ_wall) and hit the calculate button. Here is how the Nusselt Number given viscosity of fluid calculation can be explained with given input values -> 45.81946 = ((0.027)*((5000)^(0.8)))* ((0.7)^(1/3))* ((20/0.1)^(0.14)) .

FAQ

What is Nusselt Number given viscosity of fluid?

The Nusselt Number given viscosity of fluid formula is defined as the product of ratios between average fluid viscosity and viscosity of the fluid at wall temperature and is represented as Nu = ((0.027)*((Re)^(0.8)))* ((Pr)^(1/3))* ((μ_avg/μ_wall)^(0.14)) or Nusselt Number = ((0.027)*((Reynolds Number)^(0.8)))* ((Prandtl Number)^(1/3))* ((Average Viscosity of Fluid/Wall Viscosity)^(0.14)). The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe, 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, The Average Viscosity of Fluid is a measure of its average resistance to deformation at a given rate & Wall viscosity is the viscosity of fluid in near wall during the turbulent flow.

How to calculate Nusselt Number given viscosity of fluid?

The Nusselt Number given viscosity of fluid formula is defined as the product of ratios between average fluid viscosity and viscosity of the fluid at wall temperature is calculated using Nusselt Number = ((0.027)*((Reynolds Number)^(0.8)))* ((Prandtl Number)^(1/3))* ((Average Viscosity of Fluid/Wall Viscosity)^(0.14)). To calculate Nusselt Number given viscosity of fluid, you need Reynolds Number (Re), Prandtl Number (Pr), Average Viscosity of Fluid (μ_avg) & Wall Viscosity (μ_wall). With our tool, you need to enter the respective value for Reynolds Number, Prandtl Number, Average Viscosity of Fluid & Wall Viscosity 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, Prandtl Number, Average Viscosity of Fluid & Wall Viscosity. We can use 6 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 = 0.027*(Reynolds Number Dia^0.8)*(Prandtl Number^0.333)*(Dynamic Viscosity at Mean Temperature/Dynamic Viscosity at Wall Temperature)^0.14
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
Nusselt Number = 0.625*(Reynolds Number Dia*Prandtl Number)^0.4
Nusselt Number = 3.0*Reynolds Number Dia^0.0833

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