Nusselt Number for Liquid Metals given Peclet Number Calculator

✖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.ⓘ Peclet Number [Pe]

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✖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 Liquid Metals given Peclet Number [Nu]

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Nusselt Number for Liquid Metals given Peclet Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nusselt Number = (0.8237-ln(Peclet Number^0.5))^-1
Nu = (0.8237-ln(Pe^0.5))^-1
This formula uses 1 Functions, 2 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

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: 0.84 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu = (0.8237-ln(Pe^0.5))^-1 --> (0.8237-ln(0.84^0.5))^-1

Evaluating ... ...

Nu = 1.09784343704972

STEP 3: Convert Result to Output's Unit

1.09784343704972 --> No Conversion Required

FINAL ANSWER

1.09784343704972 ≈ 1.097843 <-- Nusselt Number

(Calculation completed in 00.020 seconds)

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< Flow over Cylinders Calculators

Nusselt number given dynamic viscosity

LaTeX 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 when property variation is larger due to temperature variation

LaTeX 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 based on Diameter

LaTeX Go Nusselt Number = (0.35+0.56*(Reynolds Number^0.52))*Prandtl Number^0.33

Nusselt number for liquids and gases

LaTeX Go Nusselt Number = (0.43+0.50*(Reynolds Number^0.5))*Prandtl Number^0.38

Nusselt Number for Liquid Metals given Peclet Number Formula

LaTeX Go

Nusselt Number = (0.8237-ln(Peclet Number^0.5))^-1
Nu = (0.8237-ln(Pe^0.5))^-1

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 given Peclet Number?

Nusselt Number for Liquid Metals given Peclet Number calculator uses Nusselt Number = (0.8237-ln(Peclet Number^0.5))^-1 to calculate the Nusselt Number, Nusselt Number for Liquid Metals given Peclet Number formula is defined as a dimensionless quantity that characterizes convective heat transfer between a fluid and a solid surface, specifically for liquid metals, and is used to analyze heat transfer in various engineering applications, such as flow over cylinders. Nusselt Number is denoted by Nu symbol.

How to calculate Nusselt Number for Liquid Metals given Peclet Number using this online calculator? To use this online calculator for Nusselt Number for Liquid Metals given Peclet Number, enter Peclet Number (Pe) and hit the calculate button. Here is how the Nusselt Number for Liquid Metals given Peclet Number calculation can be explained with given input values -> 1.097843 = (0.8237-ln(0.84^0.5))^-1.

FAQ

What is Nusselt Number for Liquid Metals given Peclet Number?

Nusselt Number for Liquid Metals given Peclet Number formula is defined as a dimensionless quantity that characterizes convective heat transfer between a fluid and a solid surface, specifically for liquid metals, and is used to analyze heat transfer in various engineering applications, such as flow over cylinders and is represented as Nu = (0.8237-ln(Pe^0.5))^-1 or Nusselt Number = (0.8237-ln(Peclet Number^0.5))^-1. 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 given Peclet Number?

Nusselt Number for Liquid Metals given Peclet Number formula is defined as a dimensionless quantity that characterizes convective heat transfer between a fluid and a solid surface, specifically for liquid metals, and is used to analyze heat transfer in various engineering applications, such as flow over cylinders is calculated using Nusselt Number = (0.8237-ln(Peclet Number^0.5))^-1. To calculate Nusselt Number for Liquid Metals given Peclet Number, 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 3 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

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