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Nusselt Number based on Diameter Formula

GoNusselt number for liquids and gases Formula

GoNusselt number when property variation is larger due to temperature variation 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 = (0.35 + 0.56 \cdot ({Re}^{0.52})) \cdot {Pr}^{0.33}

Nu - Nusselt Number?Re - Reynolds Number?Pr - Prandtl Number?

Nusselt Number based on Diameter Example

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Here is how the Nusselt Number based on Diameter equation looks like with Values.

Here is how the Nusselt Number based on Diameter equation looks like with Units.

Here is how the Nusselt Number based on Diameter equation looks like.

42.0494 = (0.35 + 0.56 \cdot (5000^{0.52})) \cdot {0.7}^{0.33}

42.0494 = (0.35 + 0.56 \cdot (5000^{0.52})) \cdot {0.7}^{0.33}

42.0494 = (0.35 + 0.56 \cdot (5000^{0.52})) \cdot {0.7}^{0.33}

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Nusselt Number based on Diameter Solution

Follow our step by step solution on how to calculate Nusselt Number based on Diameter?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Nu = (0.35 + 0.56 \cdot (5000^{0.52})) \cdot {0.7}^{0.33}

Next Step Prepare to Evaluate

∴

Nu = (0.35 + 0.56 \cdot (5000^{0.52})) \cdot {0.7}^{0.33}

Next Step Evaluate

∴

Nu = 42.0494386117082

LAST Step Rounding Answer

∴

Nu = 42.0494

Nusselt Number based on Diameter 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

Other Formulas to find Nusselt Number

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 given dynamic viscosity

Nu = (0.4 \cdot ({Re}^{0.5}) + 0.06 \cdot ({Re}^{0.67})) \cdot ({Pr}^{0.4}) \cdot {(\frac{μ ∞}{μ 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 based on Diameter?

Nusselt Number based on Diameter evaluator uses Nusselt Number = (0.35+0.56*(Reynolds Number^0.52))*Prandtl Number^0.33 to evaluate the Nusselt Number, The Nusselt Number based on Diameter 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 based on Diameter using this online evaluator? To use this online evaluator for Nusselt Number based on Diameter, enter Reynolds Number (Re) & Prandtl Number (Pr) and hit the calculate button.

FAQs on Nusselt Number based on Diameter

What is the formula to find Nusselt Number based on Diameter?

The formula of Nusselt Number based on Diameter is expressed as Nusselt Number = (0.35+0.56*(Reynolds Number^0.52))*Prandtl Number^0.33. Here is an example- 42.04944 = (0.35+0.56*(5000^0.52))*0.7^0.33.

How to calculate Nusselt Number based on Diameter?

With Reynolds Number (Re) & Prandtl Number (Pr) we can find Nusselt Number based on Diameter using the formula - Nusselt Number = (0.35+0.56*(Reynolds Number^0.52))*Prandtl Number^0.33.

What are the other ways to Calculate Nusselt Number?

Here are the different ways to Calculate Nusselt Number-

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
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

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Nusselt Number based on Diameter Formula

​GoNusselt number for liquids and gases Formula

​GoNusselt number when property variation is larger due to temperature variation Formula

Nusselt Number based on Diameter Example

Nusselt Number based on Diameter Solution

Nusselt Number based on Diameter Formula Elements

Other Formulas to find Nusselt Number

How to Evaluate Nusselt Number based on Diameter?

FAQs on Nusselt Number based on Diameter

Variable Name

GoNusselt number for liquids and gases Formula

GoNusselt number when property variation is larger due to temperature variation Formula