Nusselt Number at Distance X from Leading Edge by Analogy Calculator

✖Local Friction Coefficient for the flow in ducts is the ratio of wall shearing stress and dynamic head of the stream.ⓘ Local Friction Coefficient [C_fx]			+10% -10%
✖Reynolds number(x) at a distance X from the leading edge.ⓘ Reynolds Number(x) [Re_x]			+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%

✖Nusselt Number(x) is the ratio of convective to conductive heat transfer across a boundary.ⓘ Nusselt Number at Distance X from Leading Edge by Analogy [Nux]

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Nusselt Number at Distance X from Leading Edge by Analogy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nusselt Number(x) = ((Local Friction Coefficient/2)*Reynolds Number(x)*Prandtl Number)/(1+12.8*((Local Friction Coefficient/2)^.5)*((Prandtl Number^0.68)-1))
Nux = ((C_fx/2)*Re_x*Pr)/(1+12.8*((C_fx/2)^.5)*((Pr^0.68)-1))
This formula uses 4 Variables

Variables Used

Nusselt Number(x) - Nusselt Number(x) is the ratio of convective to conductive heat transfer across a boundary.
Local Friction Coefficient - Local Friction Coefficient for the flow in ducts is the ratio of wall shearing stress and dynamic head of the stream.
Reynolds Number(x) - Reynolds number(x) at a distance X from the leading edge.
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

Local Friction Coefficient: 0.328 --> No Conversion Required
Reynolds Number(x): 8.314 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nux = ((C_fx/2)*Re_x*Pr)/(1+12.8*((C_fx/2)^.5)*((Pr^0.68)-1)) --> ((0.328/2)*8.314*0.7)/(1+12.8*((0.328/2)^.5)*((0.7^0.68)-1))

Evaluating ... ...

Nux = -8.20137200541544

STEP 3: Convert Result to Output's Unit

-8.20137200541544 --> No Conversion Required

FINAL ANSWER

-8.20137200541544 ≈ -8.201372 <-- Nusselt Number(x)

(Calculation completed in 00.004 seconds)

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< Turbulent Flow Calculators

Hydrodynamic boundary layer thickness at X

LaTeX Go Hydrodynamic Boundary Layer Thickness = 0.381*Distance from Leading Edge*(Reynolds Number^(-0.2))

Nusselt number at distance x from leading edge

LaTeX Go Nusselt Number(x) = 0.0296*(Reynolds Number(x)^0.8)*(Prandtl Number^0.33)

Hydrodynamic boundary layer thickness given displacement thickness

LaTeX Go Hydrodynamic Boundary Layer Thickness = 8*Displacement Thickness at X

Displacement thickness at X

LaTeX Go Displacement Thickness at X = Hydrodynamic Boundary Layer Thickness/8

Nusselt Number at Distance X from Leading Edge by Analogy Formula

LaTeX Go

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 at Distance X from Leading Edge by Analogy?

Nusselt Number at Distance X from Leading Edge by Analogy calculator uses Nusselt Number(x) = ((Local Friction Coefficient/2)*Reynolds Number(x)*Prandtl Number)/(1+12.8*((Local Friction Coefficient/2)^.5)*((Prandtl Number^0.68)-1)) to calculate the Nusselt Number(x), Nusselt Number at Distance X from Leading Edge by Analogy formula is defined as a dimensionless quantity that characterizes the convective heat transfer between a fluid and a flat plate, providing a measure of the heat transfer rate at a specific distance from the leading edge of the plate. Nusselt Number(x) is denoted by Nux symbol.

How to calculate Nusselt Number at Distance X from Leading Edge by Analogy using this online calculator? To use this online calculator for Nusselt Number at Distance X from Leading Edge by Analogy, enter Local Friction Coefficient (C_fx), Reynolds Number(x) (Re_x) & Prandtl Number (Pr) and hit the calculate button. Here is how the Nusselt Number at Distance X from Leading Edge by Analogy calculation can be explained with given input values -> -8.201372 = ((0.328/2)*8.314*0.7)/(1+12.8*((0.328/2)^.5)*((0.7^0.68)-1)).

FAQ

What is Nusselt Number at Distance X from Leading Edge by Analogy?

Nusselt Number at Distance X from Leading Edge by Analogy formula is defined as a dimensionless quantity that characterizes the convective heat transfer between a fluid and a flat plate, providing a measure of the heat transfer rate at a specific distance from the leading edge of the plate and is represented as Nux = ((C_fx/2)*Re_x*Pr)/(1+12.8*((C_fx/2)^.5)*((Pr^0.68)-1)) or Nusselt Number(x) = ((Local Friction Coefficient/2)*Reynolds Number(x)*Prandtl Number)/(1+12.8*((Local Friction Coefficient/2)^.5)*((Prandtl Number^0.68)-1)). Local Friction Coefficient for the flow in ducts is the ratio of wall shearing stress and dynamic head of the stream, Reynolds number(x) at a distance X from the leading edge & 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 at Distance X from Leading Edge by Analogy?

Nusselt Number at Distance X from Leading Edge by Analogy formula is defined as a dimensionless quantity that characterizes the convective heat transfer between a fluid and a flat plate, providing a measure of the heat transfer rate at a specific distance from the leading edge of the plate is calculated using Nusselt Number(x) = ((Local Friction Coefficient/2)*Reynolds Number(x)*Prandtl Number)/(1+12.8*((Local Friction Coefficient/2)^.5)*((Prandtl Number^0.68)-1)). To calculate Nusselt Number at Distance X from Leading Edge by Analogy, you need Local Friction Coefficient (C_fx), Reynolds Number(x) (Re_x) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Local Friction Coefficient, Reynolds Number(x) & 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(x)?

In this formula, Nusselt Number(x) uses Local Friction Coefficient, Reynolds Number(x) & Prandtl Number. We can use 1 other way(s) to calculate the same, which is/are as follows -

Nusselt Number(x) = 0.0296*(Reynolds Number(x)^0.8)*(Prandtl Number^0.33)

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