Nusselt number for liquids for external flow Calculator

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External flow

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✖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.ⓘ 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%

✖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 liquids for external flow [Nu]

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Formula

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Nusselt number for liquids for external flow

Formula

`"Nu" = (0.97+0.68*("Re"^0.5))/("Pr"^-0.3)`

Example

`"44.07551"=(0.97+0.68*(("5000")^0.5))/(("0.7")^-0.3)`

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Nusselt number for liquids for external flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nusselt Number = (0.97+0.68*(Reynolds Number^0.5))/(Prandtl Number^-0.3)
Nu = (0.97+0.68*(Re^0.5))/(Pr^-0.3)
This formula uses 3 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. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe.
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.

STEP 1: Convert Input(s) to Base Unit

Reynolds Number: 5000 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu = (0.97+0.68*(Re^0.5))/(Pr^-0.3) --> (0.97+0.68*(5000^0.5))/(0.7^-0.3)

Evaluating ... ...

Nu = 44.0755050132131

STEP 3: Convert Result to Output's Unit

44.0755050132131 --> No Conversion Required

FINAL ANSWER

44.0755050132131 ≈ 44.07551 <-- Nusselt Number

(Calculation completed in 00.004 seconds)

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Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< 8 Flow over Sphere Calculators

Nusselt number for gases and liquids

Go Nusselt Number = 2+(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

Nusselt number for oils and water

Go Nusselt Number = (1.2+0.53*(Reynolds Number^0.54))/((Prandtl Number^-0.3)*(Dynamic Viscosity at Wall Temperature/Dynamic Viscosity at Free Stream Temperature)^0.25)

Nusselt number for falling liquid drops

Go Nusselt Number = 2+(0.62*(Reynolds Number^0.5)*(Prandtl Number^0.333)*(25*(Falling Distance/Diameter))^(-0.7))

Nusselt number for air

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

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

Nusselt number for liquids for external flow

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

Nusselt number for liquid metals

Go Nusselt Number = 2+(0.386*(Reynolds Number*Prandtl Number)^0.5)

Nusselt number

Go Nusselt Number = 0.37*Reynolds Number^0.6

Nusselt number for liquids for external flow Formula

Nusselt Number = (0.97+0.68*(Reynolds Number^0.5))/(Prandtl Number^-0.3)
Nu = (0.97+0.68*(Re^0.5))/(Pr^-0.3)

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 liquids for external flow?

Nusselt number for liquids for external flow calculator uses Nusselt Number = (0.97+0.68*(Reynolds Number^0.5))/(Prandtl Number^-0.3) to calculate the Nusselt Number, The Nusselt number for liquids for external flow formula is defined as the ratio of convective to conductive heat transfer across a boundary. Nusselt Number is denoted by Nu symbol.

How to calculate Nusselt number for liquids for external flow using this online calculator? To use this online calculator for Nusselt number for liquids for external flow, enter Reynolds Number (Re) & Prandtl Number (Pr) and hit the calculate button. Here is how the Nusselt number for liquids for external flow calculation can be explained with given input values -> 44.07551 = (0.97+0.68*(5000^0.5))/(0.7^-0.3).

FAQ

What is Nusselt number for liquids for external flow?

The Nusselt number for liquids for external flow formula is defined as the ratio of convective to conductive heat transfer across a boundary and is represented as Nu = (0.97+0.68*(Re^0.5))/(Pr^-0.3) or Nusselt Number = (0.97+0.68*(Reynolds Number^0.5))/(Prandtl Number^-0.3). 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 & 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.

How to calculate Nusselt number for liquids for external flow?

The Nusselt number for liquids for external flow formula is defined as the ratio of convective to conductive heat transfer across a boundary is calculated using Nusselt Number = (0.97+0.68*(Reynolds Number^0.5))/(Prandtl Number^-0.3). To calculate Nusselt number for liquids for external flow, you need Reynolds Number (Re) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Reynolds Number & Prandtl Number 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. We can use 7 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))
Nusselt Number = (1.2+0.53*(Reynolds Number^0.54))/((Prandtl Number^-0.3)*(Dynamic Viscosity at Wall Temperature/Dynamic Viscosity at Free Stream Temperature)^0.25)
Nusselt Number = 2+(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
Nusselt Number = 2+(0.62*(Reynolds Number^0.5)*(Prandtl Number^0.333)*(25*(Falling Distance/Diameter))^(-0.7))
Nusselt Number = 2+(0.386*(Reynolds Number*Prandtl Number)^0.5)

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