Nusselt number for air Solution

STEP 0: Pre-Calculation Summary
Formula Used
Nusselt Number = 430+((5*(10^-3))*(Reynolds Number))+((0.025*(10^-9))*(Reynolds Number^2))-((3.1*(10^-17))*(Reynolds Number^3))
Nu = 430+((5*(10^-3))*(Re))+((0.025*(10^-9))*(Re^2))-((3.1*(10^-17))*(Re^3))
This formula uses 2 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.
STEP 1: Convert Input(s) to Base Unit
Reynolds Number: 5000 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Nu = 430+((5*(10^-3))*(Re))+((0.025*(10^-9))*(Re^2))-((3.1*(10^-17))*(Re^3)) --> 430+((5*(10^-3))*(5000))+((0.025*(10^-9))*(5000^2))-((3.1*(10^-17))*(5000^3))
Evaluating ... ...
Nu = 455.000621125
STEP 3: Convert Result to Output's Unit
455.000621125 --> No Conversion Required
FINAL ANSWER
455.000621125 455.0006 <-- Nusselt Number
(Calculation completed in 00.004 seconds)

Credits

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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 air Formula

Nusselt Number = 430+((5*(10^-3))*(Reynolds Number))+((0.025*(10^-9))*(Reynolds Number^2))-((3.1*(10^-17))*(Reynolds Number^3))
Nu = 430+((5*(10^-3))*(Re))+((0.025*(10^-9))*(Re^2))-((3.1*(10^-17))*(Re^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 air?

Nusselt number for air calculator uses Nusselt Number = 430+((5*(10^-3))*(Reynolds Number))+((0.025*(10^-9))*(Reynolds Number^2))-((3.1*(10^-17))*(Reynolds Number^3)) to calculate the Nusselt Number, The Nusselt number for air formula is defined as the ratio of convective to conductive heat transfer across a boundary. 3*10^5 < Re < 5*10^6. Nusselt Number is denoted by Nu symbol.

How to calculate Nusselt number for air using this online calculator? To use this online calculator for Nusselt number for air, enter Reynolds Number (Re) and hit the calculate button. Here is how the Nusselt number for air calculation can be explained with given input values -> 455.0006 = 430+((5*(10^-3))*(5000))+((0.025*(10^-9))*(5000^2))-((3.1*(10^-17))*(5000^3)).

FAQ

What is Nusselt number for air?
The Nusselt number for air formula is defined as the ratio of convective to conductive heat transfer across a boundary. 3*10^5 < Re < 5*10^6 and is represented as Nu = 430+((5*(10^-3))*(Re))+((0.025*(10^-9))*(Re^2))-((3.1*(10^-17))*(Re^3)) or Nusselt Number = 430+((5*(10^-3))*(Reynolds Number))+((0.025*(10^-9))*(Reynolds Number^2))-((3.1*(10^-17))*(Reynolds Number^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.
How to calculate Nusselt number for air?
The Nusselt number for air formula is defined as the ratio of convective to conductive heat transfer across a boundary. 3*10^5 < Re < 5*10^6 is calculated using Nusselt Number = 430+((5*(10^-3))*(Reynolds Number))+((0.025*(10^-9))*(Reynolds Number^2))-((3.1*(10^-17))*(Reynolds Number^3)). To calculate Nusselt number for air, you need Reynolds Number (Re). With our tool, you need to enter the respective value for Reynolds 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. 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 = (0.97+0.68*(Reynolds Number^0.5))/(Prandtl Number^-0.3)
  • 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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