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Nusselt number for falling liquid drops 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 = 2 + (0.62 \cdot ({Re}^{0.5}) \cdot ({Pr}^{0.333}) \cdot {(25 \cdot (\frac{x}{D}))}^{- 0.7})

Nu - Nusselt Number?Re - Reynolds Number?Pr - Prandtl Number?x - Falling Distance?D - Diameter?

Nusselt number for falling liquid drops Example

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Here is how the Nusselt number for falling liquid drops equation looks like with Values.

Here is how the Nusselt number for falling liquid drops equation looks like with Units.

Here is how the Nusselt number for falling liquid drops equation looks like.

318.1292 = 2 + (0.62 \cdot (50000^{0.5}) \cdot (19^{0.333}) \cdot {(25 \cdot (\frac{0.5}{10}))}^{- 0.7})

318.1292 = 2 + (0.62 \cdot (50000^{0.5}) \cdot (19^{0.333}) \cdot {(25 \cdot (\frac{0.5m}{10m}))}^{- 0.7})

318.1292 = 2 + (0.62 \cdot (50000^{0.5}) \cdot (19^{0.333}) \cdot {(25 \cdot (\frac{0.5}{10}))}^{- 0.7})

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Nusselt number for falling liquid drops Solution

Follow our step by step solution on how to calculate Nusselt number for falling liquid drops?

FIRST Step Consider the formula

Nu = 2 + (0.62 \cdot ({Re}^{0.5}) \cdot ({Pr}^{0.333}) \cdot {(25 \cdot (\frac{x}{D}))}^{- 0.7})

Next Step Substitute values of Variables

∴

Nu = 2 + (0.62 \cdot (50000^{0.5}) \cdot (19^{0.333}) \cdot {(25 \cdot (\frac{0.5m}{10m}))}^{- 0.7})

Next Step Prepare to Evaluate

∴

Nu = 2 + (0.62 \cdot (50000^{0.5}) \cdot (19^{0.333}) \cdot {(25 \cdot (\frac{0.5}{10}))}^{- 0.7})

Next Step Evaluate

∴

Nu = 318.129214105369

LAST Step Rounding Answer

∴

Nu = 318.1292

Nusselt number for falling liquid drops 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.

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

Falling Distance

Falling distance is the distance from the point at which the droplet drops to the point it hits the ground.

Symbol: x

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Falling Distance

Diameter

Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter

Other Formulas to find Nusselt Number

Go Nusselt number

Nu = 0.37 \cdot {Re}^{0.6}

Go Nusselt number for gases

Nu = 2 + {(0.25 \cdot Re + (3 \cdot 10^{- 4}) \cdot ({Re}^{1.6}))}^{0.5}

Go Nusselt number for air

Nu = 430 + ((5 \cdot (10^{- 3})) \cdot (Re)) + ((0.025 \cdot (10^{- 9})) \cdot ({Re}^{2})) - ((3.1 \cdot (10^{- 17})) \cdot ({Re}^{3}))

Go Nusselt number for liquids for external flow

Nu = \frac{0.97 + 0.68 \cdot ({Re}^{0.5})}{{Pr}^{- 0.3}}

How to Evaluate Nusselt number for falling liquid drops?

Nusselt number for falling liquid drops evaluator uses Nusselt Number = 2+(0.62*(Reynolds Number^0.5)*(Prandtl Number^0.333)*(25*(Falling Distance/Diameter))^(-0.7)) to evaluate the Nusselt Number, Nusselt number for falling liquid drops formula is defined as a dimensionless quantity used to characterize convective heat transfer between a fluid and a solid surface, specifically for the flow of liquid drops over a sphere, providing a measure of the heat transfer rate. Nusselt Number is denoted by Nu symbol.

How to evaluate Nusselt number for falling liquid drops using this online evaluator? To use this online evaluator for Nusselt number for falling liquid drops, enter Reynolds Number (Re), Prandtl Number (Pr), Falling Distance (x) & Diameter (D) and hit the calculate button.

FAQs on Nusselt number for falling liquid drops

What is the formula to find Nusselt number for falling liquid drops?

The formula of Nusselt number for falling liquid drops is expressed as Nusselt Number = 2+(0.62*(Reynolds Number^0.5)*(Prandtl Number^0.333)*(25*(Falling Distance/Diameter))^(-0.7)). Here is an example- 318.1292 = 2+(0.62*(50000^0.5)*(19^0.333)*(25*(0.5/10))^(-0.7)).

How to calculate Nusselt number for falling liquid drops?

With Reynolds Number (Re), Prandtl Number (Pr), Falling Distance (x) & Diameter (D) we can find Nusselt number for falling liquid drops using the formula - Nusselt Number = 2+(0.62*(Reynolds Number^0.5)*(Prandtl Number^0.333)*(25*(Falling Distance/Diameter))^(-0.7)).

What are the other ways to Calculate Nusselt Number?

Here are the different ways to Calculate Nusselt Number-

Nusselt Number=0.37*Reynolds Number^0.6
Nusselt Number=2+(0.25*Reynolds Number+(3*10^-4)*(Reynolds Number^1.6))^0.5
Nusselt Number=430+((5*(10^-3))*(Reynolds Number))+((0.025*(10^-9))*(Reynolds Number^2))-((3.1*(10^-17))*(Reynolds Number^3))

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Nusselt number for falling liquid drops Formula

​GoNusselt number Formula

​GoNusselt number for gases Formula

Nusselt number for falling liquid drops Example

Nusselt number for falling liquid drops Solution

Nusselt number for falling liquid drops Formula Elements

Other Formulas to find Nusselt Number

How to Evaluate Nusselt number for falling liquid drops?

FAQs on Nusselt number for falling liquid drops

Variable Name

GoNusselt number Formula

GoNusselt number for gases Formula