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Nusselt Number given viscosity of fluid Formula

GoNusselt number at entrance region Formula

GoNusselt number for Smooth tubes Formula

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The Nusselt Number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion. Check FAQs

Nu = ((0.027) \cdot ({(Re)}^{0.8})) \cdot ({(Pr)}^{\frac{1}{3}}) \cdot ({(\frac{μ avg}{μ wall})}^{0.14})

Nu - Nusselt Number?Re - Reynolds Number?Pr - Prandtl Number?μ_avg - Average Viscosity of Fluid?μ_wall - Wall Viscosity?

Nusselt Number given viscosity of fluid Example

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Here is how the Nusselt Number given viscosity of fluid equation looks like with Values.

Here is how the Nusselt Number given viscosity of fluid equation looks like with Units.

Here is how the Nusselt Number given viscosity of fluid equation looks like.

45.8195 = ((0.027) \cdot ({(5000)}^{0.8})) \cdot ({(0.7)}^{\frac{1}{3}}) \cdot ({(\frac{20}{0.1})}^{0.14})

45.8195 = ((0.027) \cdot ({(5000)}^{0.8})) \cdot ({(0.7)}^{\frac{1}{3}}) \cdot ({(\frac{20Pa*s}{0.1Pa*s})}^{0.14})

45.8195 = ((0.027) \cdot ({(5000)}^{0.8})) \cdot ({(0.7)}^{\frac{1}{3}}) \cdot ({(\frac{20}{0.1})}^{0.14})

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Nusselt Number given viscosity of fluid Solution

Follow our step by step solution on how to calculate Nusselt Number given viscosity of fluid?

FIRST Step Consider the formula

Nu = ((0.027) \cdot ({(Re)}^{0.8})) \cdot ({(Pr)}^{\frac{1}{3}}) \cdot ({(\frac{μ avg}{μ wall})}^{0.14})

Next Step Substitute values of Variables

∴

Nu = ((0.027) \cdot ({(5000)}^{0.8})) \cdot ({(0.7)}^{\frac{1}{3}}) \cdot ({(\frac{20Pa*s}{0.1Pa*s})}^{0.14})

Next Step Prepare to Evaluate

∴

Nu = ((0.027) \cdot ({(5000)}^{0.8})) \cdot ({(0.7)}^{\frac{1}{3}}) \cdot ({(\frac{20}{0.1})}^{0.14})

Next Step Evaluate

∴

Nu = 45.819461456282

LAST Step Rounding Answer

∴

Nu = 45.8195

Nusselt Number given viscosity of fluid Formula Elements

Variables

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.

Symbol: Nu

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Nusselt Number

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.

Symbol: Re

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reynolds Number

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.

Symbol: Pr

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Prandtl Number

Average Viscosity of Fluid

The Average Viscosity of Fluid is a measure of its average resistance to deformation at a given rate.

Symbol: μ_avg

Measurement: Dynamic ViscosityUnit: Pa*s

Note: Value should be greater than 0.

Formulas to find Average Viscosity of Fluid

Wall Viscosity

Wall viscosity is the viscosity of fluid in near wall during the turbulent flow.

Symbol: μ_wall

Measurement: Dynamic ViscosityUnit: Pa*s

Note: Value should be greater than 0.

Formulas to find Wall Viscosity

Other Formulas to find Nusselt Number

Go Nusselt number at entrance region

Nu = 0.036 \cdot ({Re D}^{0.8}) \cdot ({Pr}^{0.33}) \cdot {(\frac{D}{L})}^{0.055}

Go Nusselt number for Smooth tubes

Nu = 0.027 \cdot ({Re D}^{0.8}) \cdot ({Pr}^{0.333}) \cdot {(\frac{μ m}{μ w})}^{0.14}

Go Nusselt number for liquid metals at constant wall temperature

Nu = 5 + 0.025 \cdot {(Re D \cdot Pr)}^{0.8}

Go Nusselt number for constant heat flux

Nu = 4.82 + 0.0185 \cdot {(Re D \cdot Pr)}^{0.827}

Other formulas in Turbulent Flow category

Go Friction factor for Re greater than 2300

f = 0.25 \cdot {(1.82 \cdot \log 10 (Re D) - 1.64)}^{- 2}

Go Friction factor for Re greater than 10000

f = 0.184 \cdot {Re D}^{- 0.2}

Go Friction factor for rough tubes

f = \frac{1.325}{{(\ln ((\frac{e}{3.7} \cdot D) + (\frac{5.74}{{Re}^{0.9}})))}^{2}}

Go Friction factor for transitional turbulent flow

f = 0.316 \cdot {Re D}^{- 0.25}

How to Evaluate Nusselt Number given viscosity of fluid?

Nusselt Number given viscosity of fluid evaluator uses Nusselt Number = ((0.027)*((Reynolds Number)^(0.8)))*((Prandtl Number)^(1/3))*((Average Viscosity of Fluid/Wall Viscosity)^(0.14)) to evaluate 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 evaluate Nusselt Number given viscosity of fluid using this online evaluator? To use this online evaluator 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.

FAQs on Nusselt Number given viscosity of fluid

What is the formula to find Nusselt Number given viscosity of fluid?

The formula of Nusselt Number given viscosity of fluid is expressed as Nusselt Number = ((0.027)*((Reynolds Number)^(0.8)))*((Prandtl Number)^(1/3))*((Average Viscosity of Fluid/Wall Viscosity)^(0.14)). Here is an example- 45.81946 = ((0.027)*((5000)^(0.8)))*((0.7)^(1/3))*((20/0.1)^(0.14)).

How to calculate Nusselt Number given viscosity of fluid?

With Reynolds Number (Re), Prandtl Number (Pr), Average Viscosity of Fluid (μ_avg) & Wall Viscosity (μ_wall) we can find Nusselt Number given viscosity of fluid using the formula - Nusselt Number = ((0.027)*((Reynolds Number)^(0.8)))*((Prandtl Number)^(1/3))*((Average Viscosity of Fluid/Wall Viscosity)^(0.14)).

What are the other ways to Calculate Nusselt Number?

Here are the different ways to Calculate Nusselt Number-

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

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: Unit

Nusselt Number given viscosity of fluid Formula

​GoNusselt number at entrance region Formula

​GoNusselt number for Smooth tubes Formula

Nusselt Number given viscosity of fluid Example

Nusselt Number given viscosity of fluid Solution

Nusselt Number given viscosity of fluid Formula Elements

Other Formulas to find Nusselt Number

Other formulas in Turbulent Flow category

How to Evaluate Nusselt Number given viscosity of fluid?

FAQs on Nusselt Number given viscosity of fluid

Variable Name

GoNusselt number at entrance region Formula

GoNusselt number for Smooth tubes Formula