Nusselt number for falling liquid drops Calculator

✖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.ⓘ 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%
✖Falling distance is the distance from the point at which the droplet drops to the point it hits the ground.ⓘ Falling Distance [x]			+10% -10%
✖Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.ⓘ Diameter [D]			+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 for falling liquid drops [Nu]

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Nusselt number for falling liquid drops Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nusselt Number = 2+(0.62*(Reynolds Number^0.5)*(Prandtl Number^0.333)*(25*(Falling Distance/Diameter))^(-0.7))
Nu = 2+(0.62*(Re^0.5)*(Pr^0.333)*(25*(x/D))^(-0.7))
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.
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.
Falling Distance - (Measured in Meter) - Falling distance is the distance from the point at which the droplet drops to the point it hits the ground.
Diameter - (Measured in Meter) - Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

STEP 1: Convert Input(s) to Base Unit

Reynolds Number: 50000 --> No Conversion Required
Prandtl Number: 19 --> No Conversion Required
Falling Distance: 0.5 Meter --> 0.5 Meter No Conversion Required
Diameter: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu = 2+(0.62*(Re^0.5)*(Pr^0.333)*(25*(x/D))^(-0.7)) --> 2+(0.62*(50000^0.5)*(19^0.333)*(25*(0.5/10))^(-0.7))

Evaluating ... ...

Nu = 318.129214105369

STEP 3: Convert Result to Output's Unit

318.129214105369 --> No Conversion Required

FINAL ANSWER

318.129214105369 ≈ 318.1292 <-- Nusselt Number

(Calculation completed in 00.004 seconds)

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< Flow over Sphere Calculators

Nusselt number for air

LaTeX Go Nusselt Number = 430+((5*(10^-3))*(Reynolds Number))+((0.025*(10^-9))*(Reynolds Number^2))-((3.1*(10^-17))*(Reynolds Number^3))

Nusselt number for gases

LaTeX Go Nusselt Number = 2+(0.25*Reynolds Number+(3*10^-4)*(Reynolds Number^1.6))^0.5

Nusselt number for liquids for external flow

LaTeX Go Nusselt Number = (0.97+0.68*(Reynolds Number^0.5))/(Prandtl Number^-0.3)

Nusselt number

LaTeX Go Nusselt Number = 0.37*Reynolds Number^0.6

Nusselt number for falling liquid drops Formula

LaTeX Go

Nusselt Number = 2+(0.62*(Reynolds Number^0.5)*(Prandtl Number^0.333)*(25*(Falling Distance/Diameter))^(-0.7))
Nu = 2+(0.62*(Re^0.5)*(Pr^0.333)*(25*(x/D))^(-0.7))

What is external flow?

In fluid mechanics, external flow is such a flow that boundary layers develop freely, without constraints imposed by adjacent surfaces. Accordingly, there will always exist a region of the flow outside the boundary layer in which velocity, temperature, and/or concentration gradients are negligible. It can be defined as the flow of a fluid around a body that is completely submerged in it.

An example includes fluid motion over a flat plate (inclined or parallel to the free stream velocity) and flow over curved surfaces such as a sphere, cylinder, airfoil, or turbine blade, air flowing around an airplane and water flowing around the submarines.

How to Calculate Nusselt number for falling liquid drops?

Nusselt number for falling liquid drops calculator uses Nusselt Number = 2+(0.62*(Reynolds Number^0.5)*(Prandtl Number^0.333)*(25*(Falling Distance/Diameter))^(-0.7)) to calculate 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 calculate Nusselt number for falling liquid drops using this online calculator? To use this online calculator for Nusselt number for falling liquid drops, enter Reynolds Number (Re), Prandtl Number (Pr), Falling Distance (x) & Diameter (D) and hit the calculate button. Here is how the Nusselt number for falling liquid drops calculation can be explained with given input values -> 318.1292 = 2+(0.62*(50000^0.5)*(19^0.333)*(25*(0.5/10))^(-0.7)).

FAQ

What is Nusselt number for falling liquid drops?

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 and is represented as Nu = 2+(0.62*(Re^0.5)*(Pr^0.333)*(25*(x/D))^(-0.7)) or Nusselt Number = 2+(0.62*(Reynolds Number^0.5)*(Prandtl Number^0.333)*(25*(Falling Distance/Diameter))^(-0.7)). 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, 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, Falling distance is the distance from the point at which the droplet drops to the point it hits the ground & Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

How to calculate Nusselt number for falling liquid drops?

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 is calculated using Nusselt Number = 2+(0.62*(Reynolds Number^0.5)*(Prandtl Number^0.333)*(25*(Falling Distance/Diameter))^(-0.7)). To calculate Nusselt number for falling liquid drops, you need Reynolds Number (Re), Prandtl Number (Pr), Falling Distance (x) & Diameter (D). With our tool, you need to enter the respective value for Reynolds Number, Prandtl Number, Falling Distance & Diameter 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, Falling Distance & Diameter. We can use 3 other way(s) to calculate the same, which is/are as follows -

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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