Nusselt number if heating starts from distance Xo from leading edge Calculator

✖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%
✖Leading Edge Distance is the distance between point X and where the heating starts.ⓘ Leading Edge Distance [xo]			+10% -10%
✖Distance from Point to YY Axis is the distance from the point to the YY axis where stress is to be computed.ⓘ Distance from Point to YY Axis [x]			+10% -10%

✖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 if heating starts from distance Xo from leading edge [Nu]

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Nusselt number if heating starts from distance Xo from leading edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nusselt Number = 0.332*(Reynolds Number(x)^0.5)*(Prandtl Number^0.333)*(1-(Leading Edge Distance/Distance from Point to YY Axis)^0.75)^(-0.333)
Nu = 0.332*(Re_x^0.5)*(Pr^0.333)*(1-(xo/x)^0.75)^(-0.333)
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(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.
Leading Edge Distance - (Measured in Meter) - Leading Edge Distance is the distance between point X and where the heating starts.
Distance from Point to YY Axis - (Measured in Meter) - Distance from Point to YY Axis is the distance from the point to the YY axis where stress is to be computed.

STEP 1: Convert Input(s) to Base Unit

Reynolds Number(x): 8.314 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required
Leading Edge Distance: 1.4 Meter --> 1.4 Meter No Conversion Required
Distance from Point to YY Axis: 1.5 Meter --> 1.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu = 0.332*(Re_x^0.5)*(Pr^0.333)*(1-(xo/x)^0.75)^(-0.333) --> 0.332*(8.314^0.5)*(0.7^0.333)*(1-(1.4/1.5)^0.75)^(-0.333)

Evaluating ... ...

Nu = 2.29862993688348

STEP 3: Convert Result to Output's Unit

2.29862993688348 --> No Conversion Required

FINAL ANSWER

2.29862993688348 ≈ 2.29863 <-- Nusselt Number

(Calculation completed in 00.004 seconds)

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Hydrodynamic boundary layer thickness at distance X from leading edge

LaTeX Go Hydrodynamic Boundary Layer Thickness = 5*Distance from Point to YY Axis*Reynolds Number(x)^(-0.5)

Thermal boundary layer thickness at distance X from leading edge

LaTeX Go Thermal Boundary Layer Thickness = Hydrodynamic Boundary Layer Thickness*Prandtl Number^(-0.333)

Displacement thickness

LaTeX Go Displacement Thickness = Hydrodynamic Boundary Layer Thickness/3

Momentum thickness

LaTeX Go Momentum Thickness = Hydrodynamic Boundary Layer Thickness/7

Nusselt number if heating starts from distance Xo from leading edge Formula

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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 if heating starts from distance Xo from leading edge?

Nusselt number if heating starts from distance Xo from leading edge calculator uses Nusselt Number = 0.332*(Reynolds Number(x)^0.5)*(Prandtl Number^0.333)*(1-(Leading Edge Distance/Distance from Point to YY Axis)^0.75)^(-0.333) to calculate the Nusselt Number, Nusselt number if heating starts from distance Xo from leading edge formula is defined as a dimensionless quantity that characterizes convective heat transfer at a point on a flat plate, where heating starts at a certain distance from the leading edge, and is used to analyze heat transfer in various engineering applications. Nusselt Number is denoted by Nu symbol.

How to calculate Nusselt number if heating starts from distance Xo from leading edge using this online calculator? To use this online calculator for Nusselt number if heating starts from distance Xo from leading edge, enter Reynolds Number(x) (Re_x), Prandtl Number (Pr), Leading Edge Distance (xo) & Distance from Point to YY Axis (x) and hit the calculate button. Here is how the Nusselt number if heating starts from distance Xo from leading edge calculation can be explained with given input values -> 2.231149 = 0.332*(8.314^0.5)*(0.7^0.333)*(1-(1.4/1.5)^0.75)^(-0.333).

FAQ

What is Nusselt number if heating starts from distance Xo from leading edge?

Nusselt number if heating starts from distance Xo from leading edge formula is defined as a dimensionless quantity that characterizes convective heat transfer at a point on a flat plate, where heating starts at a certain distance from the leading edge, and is used to analyze heat transfer in various engineering applications and is represented as Nu = 0.332*(Re_x^0.5)*(Pr^0.333)*(1-(xo/x)^0.75)^(-0.333) or Nusselt Number = 0.332*(Reynolds Number(x)^0.5)*(Prandtl Number^0.333)*(1-(Leading Edge Distance/Distance from Point to YY Axis)^0.75)^(-0.333). 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, Leading Edge Distance is the distance between point X and where the heating starts & Distance from Point to YY Axis is the distance from the point to the YY axis where stress is to be computed.

How to calculate Nusselt number if heating starts from distance Xo from leading edge?

Nusselt number if heating starts from distance Xo from leading edge formula is defined as a dimensionless quantity that characterizes convective heat transfer at a point on a flat plate, where heating starts at a certain distance from the leading edge, and is used to analyze heat transfer in various engineering applications is calculated using Nusselt Number = 0.332*(Reynolds Number(x)^0.5)*(Prandtl Number^0.333)*(1-(Leading Edge Distance/Distance from Point to YY Axis)^0.75)^(-0.333). To calculate Nusselt number if heating starts from distance Xo from leading edge, you need Reynolds Number(x) (Re_x), Prandtl Number (Pr), Leading Edge Distance (xo) & Distance from Point to YY Axis (x). With our tool, you need to enter the respective value for Reynolds Number(x), Prandtl Number, Leading Edge Distance & Distance from Point to YY Axis 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(x), Prandtl Number, Leading Edge Distance & Distance from Point to YY Axis. We can use 3 other way(s) to calculate the same, which is/are as follows -

Nusselt Number = 0.332*(Reynolds Number^0.5)*(Prandtl Number^0.333)
Nusselt Number = (0.3387*(Reynolds Number^0.5)*(Prandtl Number^0.333))/((1+(0.0468/Prandtl Number)^(0.67))^0.25)
Nusselt Number = 0.565*(Reynolds Number*Prandtl Number)^0.5

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