Nusselt number given dynamic viscosity Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
Nu = (0.4*(Re^0.5)+0.06*(Re^0.67))*(Pr^0.4)*(μ/μw)^0.25
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. 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.
Dynamic Viscosity at Free Stream Temperature - Dynamic Viscosity at Free Stream Temperature is the resisting force offered by the adjacent layers of the fluid flowing with freestream velocity.
Dynamic Viscosity at Wall Temperature - Dynamic Viscosity at Wall Temperature is the external force offered by the fluid to the wall of the object at the temperature of its surface.
STEP 1: Convert Input(s) to Base Unit
Reynolds Number: 5000 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required
Dynamic Viscosity at Free Stream Temperature: 0.0015 --> No Conversion Required
Dynamic Viscosity at Wall Temperature: 0.0018 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Nu = (0.4*(Re^0.5)+0.06*(Re^0.67))*(Pr^0.4)*(μw)^0.25 --> (0.4*(5000^0.5)+0.06*(5000^0.67))*(0.7^0.4)*(0.0015/0.0018)^0.25
Evaluating ... ...
Nu = 38.3830947187982
STEP 3: Convert Result to Output's Unit
38.3830947187982 --> No Conversion Required
FINAL ANSWER
38.3830947187982 38.38309 <-- Nusselt Number
(Calculation completed in 00.004 seconds)

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12 Flow over Cylinders Calculators

Nusselt number given dynamic viscosity
Go 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
Nusselt Number in Forced Convection for Cross Flow
Go Nusselt Number = 0.3+ (((((0.62)*((Reynolds Number)^(1/2))*((Prandtl Number)^(1/3))))/ ((1+((0.4/Prandtl Number)^(2/3)))^(1/4)))* ((1+((Reynolds Number/282000)^(5/8)))^(4/5)))
Nusselt number for liquid metals and silicones
Go Nusselt Number = 0.3+((0.62*(Reynolds Number^0.5)*(Prandtl Number^0.333))/(1+((0.4/Prandtl Number)^0.67))^0.25)*(1+(Reynolds Number/282000)^0.625)^0.8
Nusselt number for liquid metals and silicones with higher Reynolds number value
Go Nusselt Number = 0.3+((0.62*(Reynolds Number^0.5)*(Prandtl Number^0.333))/(1+((0.4/Prandtl Number)^0.67))^0.25)*(1+(Reynolds Number Dia/282000)^0.5)
Nusselt number when property variation is larger due to temperature variation
Go 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 for Liquids
Go Nusselt Number = (0.35+((0.56)*(Reynolds Number Dia)^(0.52)))* ((Prandtl Number)^(0.333))
Nusselt Number based on Diameter
Go Nusselt Number = (0.35+0.56*(Reynolds Number^0.52))*Prandtl Number^0.33
Nusselt number for liquids and gases
Go Nusselt Number = (0.43+0.50*(Reynolds Number^0.5))*Prandtl Number^0.38
Nusselt Number for Liquid Metals given Peclet Number
Go Nusselt Number = (0.8237-ln(Peclet Number^0.5))^-1
Nusselt number for liquids with higher Peclet number
Go Nusselt Number = 1.25*(Peclet Number^0.413)
Nusselt number for liquid metals with constant heat flux
Go Nusselt Number = 1.145*Peclet Number^0.5
Nusselt number for liquid metals with constant wall temperature
Go Nusselt Number = 1.05*Peclet Number^0.5

Nusselt number given dynamic viscosity Formula

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
Nu = (0.4*(Re^0.5)+0.06*(Re^0.67))*(Pr^0.4)*(μ/μw)^0.25

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 given dynamic viscosity?

Nusselt number given dynamic viscosity calculator uses 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 to calculate the Nusselt Number, The Nusselt number given dynamic viscosity 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 given dynamic viscosity using this online calculator? To use this online calculator for Nusselt number given dynamic viscosity, enter Reynolds Number (Re), Prandtl Number (Pr), Dynamic Viscosity at Free Stream Temperature ) & Dynamic Viscosity at Wall Temperature w) and hit the calculate button. Here is how the Nusselt number given dynamic viscosity calculation can be explained with given input values -> 38.38309 = (0.4*(5000^0.5)+0.06*(5000^0.67))*(0.7^0.4)*(0.0015/0.0018)^0.25.

FAQ

What is Nusselt number given dynamic viscosity?
The Nusselt number given dynamic viscosity formula is defined as the ratio of convective to conductive heat transfer across a boundary and is represented as Nu = (0.4*(Re^0.5)+0.06*(Re^0.67))*(Pr^0.4)*(μw)^0.25 or 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. 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, Dynamic Viscosity at Free Stream Temperature is the resisting force offered by the adjacent layers of the fluid flowing with freestream velocity & Dynamic Viscosity at Wall Temperature is the external force offered by the fluid to the wall of the object at the temperature of its surface.
How to calculate Nusselt number given dynamic viscosity?
The Nusselt number given dynamic viscosity formula is defined as the ratio of convective to conductive heat transfer across a boundary is calculated using 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. To calculate Nusselt number given dynamic viscosity, you need Reynolds Number (Re), Prandtl Number (Pr), Dynamic Viscosity at Free Stream Temperature ) & Dynamic Viscosity at Wall Temperature w). With our tool, you need to enter the respective value for Reynolds Number, Prandtl Number, Dynamic Viscosity at Free Stream Temperature & Dynamic Viscosity at Wall Temperature 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, Dynamic Viscosity at Free Stream Temperature & Dynamic Viscosity at Wall Temperature. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • Nusselt Number = (0.35+0.56*(Reynolds Number^0.52))*Prandtl Number^0.33
  • 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 = 0.3+((0.62*(Reynolds Number^0.5)*(Prandtl Number^0.333))/(1+((0.4/Prandtl Number)^0.67))^0.25)*(1+(Reynolds Number/282000)^0.625)^0.8
  • Nusselt Number = 0.3+((0.62*(Reynolds Number^0.5)*(Prandtl Number^0.333))/(1+((0.4/Prandtl Number)^0.67))^0.25)*(1+(Reynolds Number Dia/282000)^0.5)
  • Nusselt Number = (0.8237-ln(Peclet Number^0.5))^-1
  • Nusselt Number = 1.25*(Peclet Number^0.413)
  • Nusselt Number = 1.05*Peclet Number^0.5
  • Nusselt Number = 1.145*Peclet Number^0.5
  • Nusselt Number = 0.3+ (((((0.62)*((Reynolds Number)^(1/2))*((Prandtl Number)^(1/3))))/ ((1+((0.4/Prandtl Number)^(2/3)))^(1/4)))* ((1+((Reynolds Number/282000)^(5/8)))^(4/5)))
  • Nusselt Number = (0.35+((0.56)*(Reynolds Number Dia)^(0.52)))* ((Prandtl Number)^(0.333))
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