Nusselt number for liquid metals with constant heat flux Solution

STEP 0: Pre-Calculation Summary
Formula Used
Nusselt Number = 1.145*Peclet Number^0.5
Nu = 1.145*Pe^0.5
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.
Peclet Number - Peclet number is a measure of the relative importance of advection versus diffusion, where a large number indicates an advectively dominated distribution, and a small number indicates a diffuse flow.
STEP 1: Convert Input(s) to Base Unit
Peclet Number: 0.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Nu = 1.145*Pe^0.5 --> 1.145*0.5^0.5
Evaluating ... ...
Nu = 0.809637264458597
STEP 3: Convert Result to Output's Unit
0.809637264458597 --> No Conversion Required
FINAL ANSWER
0.809637264458597 0.809637 <-- Nusselt Number
(Calculation completed in 00.004 seconds)

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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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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 for liquid metals with constant heat flux Formula

Nusselt Number = 1.145*Peclet Number^0.5
Nu = 1.145*Pe^0.5

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 liquid metals with constant heat flux?

Nusselt number for liquid metals with constant heat flux calculator uses Nusselt Number = 1.145*Peclet Number^0.5 to calculate the Nusselt Number, The Nusselt number for liquid metals with constant heat flux 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 liquid metals with constant heat flux using this online calculator? To use this online calculator for Nusselt number for liquid metals with constant heat flux, enter Peclet Number (Pe) and hit the calculate button. Here is how the Nusselt number for liquid metals with constant heat flux calculation can be explained with given input values -> 0.809637 = 1.145*0.5^0.5.

FAQ

What is Nusselt number for liquid metals with constant heat flux?
The Nusselt number for liquid metals with constant heat flux formula is defined as the ratio of convective to conductive heat transfer across a boundary and is represented as Nu = 1.145*Pe^0.5 or Nusselt Number = 1.145*Peclet Number^0.5. Peclet number is a measure of the relative importance of advection versus diffusion, where a large number indicates an advectively dominated distribution, and a small number indicates a diffuse flow.
How to calculate Nusselt number for liquid metals with constant heat flux?
The Nusselt number for liquid metals with constant heat flux formula is defined as the ratio of convective to conductive heat transfer across a boundary is calculated using Nusselt Number = 1.145*Peclet Number^0.5. To calculate Nusselt number for liquid metals with constant heat flux, you need Peclet Number (Pe). With our tool, you need to enter the respective value for Peclet 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 Peclet Number. 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 = (0.4*(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 = 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 = 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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