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Nusselt number given dynamic viscosity Formula

GoNusselt Number based on Diameter Formula

GoNusselt number for liquids and gases 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 = (0.4 \cdot ({Re}^{0.5}) + 0.06 \cdot ({Re}^{0.67})) \cdot ({Pr}^{0.4}) \cdot {(\frac{μ ∞}{μ w})}^{0.25}

Nu - Nusselt Number?Re - Reynolds Number?Pr - Prandtl Number?μ_∞ - Dynamic Viscosity at Free Stream Temperature?μ_w - Dynamic Viscosity at Wall Temperature?

Nusselt number given dynamic viscosity Example

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Here is how the Nusselt number given dynamic viscosity equation looks like with Values.

Here is how the Nusselt number given dynamic viscosity equation looks like with Units.

Here is how the Nusselt number given dynamic viscosity equation looks like.

38.3831 = (0.4 \cdot (5000^{0.5}) + 0.06 \cdot (5000^{0.67})) \cdot ({0.7}^{0.4}) \cdot {(\frac{0.0015}{0.0018})}^{0.25}

38.3831 = (0.4 \cdot (5000^{0.5}) + 0.06 \cdot (5000^{0.67})) \cdot ({0.7}^{0.4}) \cdot {(\frac{0.0015}{0.0018})}^{0.25}

38.3831 = (0.4 \cdot (5000^{0.5}) + 0.06 \cdot (5000^{0.67})) \cdot ({0.7}^{0.4}) \cdot {(\frac{0.0015}{0.0018})}^{0.25}

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Nusselt number given dynamic viscosity Solution

Follow our step by step solution on how to calculate Nusselt number given dynamic viscosity?

FIRST Step Consider the formula

Nu = (0.4 \cdot ({Re}^{0.5}) + 0.06 \cdot ({Re}^{0.67})) \cdot ({Pr}^{0.4}) \cdot {(\frac{μ ∞}{μ w})}^{0.25}

Next Step Substitute values of Variables

∴

Nu = (0.4 \cdot (5000^{0.5}) + 0.06 \cdot (5000^{0.67})) \cdot ({0.7}^{0.4}) \cdot {(\frac{0.0015}{0.0018})}^{0.25}

Next Step Prepare to Evaluate

∴

Nu = (0.4 \cdot (5000^{0.5}) + 0.06 \cdot (5000^{0.67})) \cdot ({0.7}^{0.4}) \cdot {(\frac{0.0015}{0.0018})}^{0.25}

Next Step Evaluate

∴

Nu = 38.3830947187982

LAST Step Rounding Answer

∴

Nu = 38.3831

Nusselt number given dynamic viscosity 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

Dynamic Viscosity at Free Stream Temperature

Dynamic Viscosity at Free Stream Temperature is the resisting force offered by the adjacent layers of the fluid flowing with freestream velocity.

Symbol: μ_∞

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity at Free Stream 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.

Symbol: μ_w

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Dynamic Viscosity at Wall Temperature

Other Formulas to find Nusselt Number

Go Nusselt Number based on Diameter

Nu = (0.35 + 0.56 \cdot ({Re}^{0.52})) \cdot {Pr}^{0.33}

Go Nusselt number for liquids and gases

Nu = (0.43 + 0.50 \cdot ({Re}^{0.5})) \cdot {Pr}^{0.38}

Go Nusselt number when property variation is larger due to temperature variation

Nu = 0.25 \cdot ({Re}^{0.6}) \cdot ({Pr}^{0.38}) \cdot {(\frac{P f}{Pr w})}^{0.25}

Go Nusselt number for liquid metals and silicones

Nu = 0.3 + (\frac{0.62 \cdot ({Re}^{0.5}) \cdot ({Pr}^{0.333})}{{(1 + ({(\frac{0.4}{Pr})}^{0.67}))}^{0.25}}) \cdot {(1 + {(\frac{Re}{282000})}^{0.625})}^{0.8}

How to Evaluate Nusselt number given dynamic viscosity?

Nusselt number given dynamic viscosity evaluator uses Nusselt Number = (0.4*(Reynolds Number^0.5)+0.06*(Reynolds Number^0.67))*(Prandtl Number^0.4)*(Dynamic Viscosity at Free Stream Temperature/Dynamic Viscosity at Wall Temperature)^0.25 to evaluate the Nusselt Number, The Nusselt number given dynamic viscosity formula is defined as the ratio of convective to conductive heat transfer across a boundary. Nusselt Number is denoted by Nu symbol.

How to evaluate Nusselt number given dynamic viscosity using this online evaluator? To use this online evaluator for Nusselt number given dynamic viscosity, enter Reynolds Number (Re), Prandtl Number (Pr), Dynamic Viscosity at Free Stream Temperature (μ_∞) & Dynamic Viscosity at Wall Temperature (μ_w) and hit the calculate button.

FAQs on Nusselt number given dynamic viscosity

What is the formula to find Nusselt number given dynamic viscosity?

The formula of Nusselt number given dynamic viscosity is expressed as Nusselt Number = (0.4*(Reynolds Number^0.5)+0.06*(Reynolds Number^0.67))*(Prandtl Number^0.4)*(Dynamic Viscosity at Free Stream Temperature/Dynamic Viscosity at Wall Temperature)^0.25. Here is an example- 38.38309 = (0.4*(5000^0.5)+0.06*(5000^0.67))*(0.7^0.4)*(0.0015/0.0018)^0.25.

How to calculate Nusselt number given dynamic viscosity?

With Reynolds Number (Re), Prandtl Number (Pr), Dynamic Viscosity at Free Stream Temperature (μ_∞) & Dynamic Viscosity at Wall Temperature (μ_w) we can find Nusselt number given dynamic viscosity using the formula - Nusselt Number = (0.4*(Reynolds Number^0.5)+0.06*(Reynolds Number^0.67))*(Prandtl Number^0.4)*(Dynamic Viscosity at Free Stream Temperature/Dynamic Viscosity at Wall Temperature)^0.25.

What are the other ways to Calculate Nusselt Number?

Here are the different ways to Calculate Nusselt Number-

Nusselt Number=(0.35+0.56*(Reynolds Number^0.52))*Prandtl Number^0.33
Nusselt Number=(0.43+0.50*(Reynolds Number^0.5))*Prandtl Number^0.38
Nusselt Number=0.25*(Reynolds Number^0.6)*(Prandtl Number^0.38)*(Prandtl Number at Film Temperature/Prandtl Number at Wall Temperature)^0.25

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: Value
: Unit

Nusselt number given dynamic viscosity Formula

​GoNusselt Number based on Diameter Formula

​GoNusselt number for liquids and gases Formula

Nusselt number given dynamic viscosity Example

Nusselt number given dynamic viscosity Solution

Nusselt number given dynamic viscosity Formula Elements

Other Formulas to find Nusselt Number

How to Evaluate Nusselt number given dynamic viscosity?

FAQs on Nusselt number given dynamic viscosity

Variable Name

GoNusselt Number based on Diameter Formula

GoNusselt number for liquids and gases Formula