Nusselt number at entrance region Calculator

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✖Reynolds Number Dia is the ratio of inertial forces to viscous forces.ⓘ Reynolds Number Dia [Re_D]			+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%
✖Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.ⓘ Diameter [D]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+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 at entrance region [Nu]

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Formula

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Nusselt number at entrance region

Formula

`"Nu" = 0.036*("Re"_{"D"}^0.8)*("Pr"^0.33)*("D"/"L")^0.055`

Example

`"12.50948"=0.036*(("1600")^0.8)*(("0.7")^0.33)*("10m"/"3m")^0.055`

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Nusselt number at entrance region Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nusselt Number = 0.036*(Reynolds Number Dia^0.8)*(Prandtl Number^0.33)*(Diameter/Length)^0.055
Nu = 0.036*(Re_D^0.8)*(Pr^0.33)*(D/L)^0.055
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 Dia - Reynolds Number Dia is the ratio of inertial forces to viscous forces.
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.
Diameter - (Measured in Meter) - Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.

STEP 1: Convert Input(s) to Base Unit

Reynolds Number Dia: 1600 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required
Diameter: 10 Meter --> 10 Meter No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu = 0.036*(Re_D^0.8)*(Pr^0.33)*(D/L)^0.055 --> 0.036*(1600^0.8)*(0.7^0.33)*(10/3)^0.055

Evaluating ... ...

Nu = 12.509477522199

STEP 3: Convert Result to Output's Unit

12.509477522199 --> No Conversion Required

FINAL ANSWER

12.509477522199 ≈ 12.50948 <-- Nusselt Number

(Calculation completed in 00.004 seconds)

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< 14 Turbulent Flow Calculators

Nusselt number for Smooth tubes

Go Nusselt Number = 0.027*(Reynolds Number Dia^0.8)*(Prandtl Number^0.333)*(Dynamic Viscosity at Mean Temperature/Dynamic Viscosity at Wall Temperature)^0.14

Nusselt Number given viscosity of fluid

Go Nusselt Number = ((0.027)*((Reynolds Number)^(0.8)))*((Prandtl Number)^(1/3))*((Average Viscosity of Fluid/Wall Viscosity)^(0.14))

Friction factor for rough tubes

Go Friction Factor = 1.325/((ln((Surface Roughness/3.7*Diameter)+(5.74/(Reynolds Number^0.9))))^2)

Nusselt number at entrance region

Go Nusselt Number = 0.036*(Reynolds Number Dia^0.8)*(Prandtl Number^0.33)*(Diameter/Length)^0.055

Nusselt number for short pipes

Go Nusselt Number for Short Pipes = Nusselt Number*(1+(Constant a/(Length/Diameter)))

Nusselt number for constant heat flux

Go Nusselt Number = 4.82+0.0185*(Reynolds Number Dia*Prandtl Number)^0.827

Nusselt number for liquid metals at constant wall temperature

Go Nusselt Number = 5+0.025*(Reynolds Number Dia*Prandtl Number)^0.8

Friction factor for Re greater than 2300

Go Friction Factor = 0.25*(1.82*log10(Reynolds Number Dia)-1.64)^-2

Nusselt number for smooth tubes and fully developed flow

Go Nusselt Number = 0.625*(Reynolds Number Dia*Prandtl Number)^0.4

Stanton number at bulk temperature

Go Stanton Number = Friction Factor/(8*(Prandtl Number^0.67))

Friction factor for rough tube Colburn analogy

Go Friction Factor = 8*Stanton Number*(Prandtl Number^0.67)

Friction factor for Re greater than 10000

Go Friction Factor = 0.184*Reynolds Number Dia^(-0.2)

Friction factor for transitional turbulent flow

Go Friction Factor = 0.316*Reynolds Number Dia^-0.25

Nusselt number for thermal entry region

Go Nusselt Number = 3.0*Reynolds Number Dia^0.0833

Nusselt number at entrance region Formula

Nusselt Number = 0.036*(Reynolds Number Dia^0.8)*(Prandtl Number^0.33)*(Diameter/Length)^0.055
Nu = 0.036*(Re_D^0.8)*(Pr^0.33)*(D/L)^0.055

What is internal flow?

Internal flow is a flow for which the fluid is confined by a surface. Hence the boundary layer is unable to develop without eventually being constrained. The internal flow configuration represents a convenient geometry for heating and cooling fluids used in chemical processing, environmental control, and energy conversion technologies. An example includes flow in a pipe.

How to Calculate Nusselt number at entrance region?

Nusselt number at entrance region calculator uses Nusselt Number = 0.036*(Reynolds Number Dia^0.8)*(Prandtl Number^0.33)*(Diameter/Length)^0.055 to calculate the Nusselt Number, The Nusselt number at entrance region formula is defined as the ratio between heat transfer by convection (α) and heat transfer by conduction alone. Nusselt Number is denoted by Nu symbol.

How to calculate Nusselt number at entrance region using this online calculator? To use this online calculator for Nusselt number at entrance region, enter Reynolds Number Dia (Re_D), Prandtl Number (Pr), Diameter (D) & Length (L) and hit the calculate button. Here is how the Nusselt number at entrance region calculation can be explained with given input values -> 12.50948 = 0.036*(1600^0.8)*(0.7^0.33)*(10/3)^0.055.

FAQ

What is Nusselt number at entrance region?

The Nusselt number at entrance region formula is defined as the ratio between heat transfer by convection (α) and heat transfer by conduction alone and is represented as Nu = 0.036*(Re_D^0.8)*(Pr^0.33)*(D/L)^0.055 or Nusselt Number = 0.036*(Reynolds Number Dia^0.8)*(Prandtl Number^0.33)*(Diameter/Length)^0.055. Reynolds Number Dia is the ratio of inertial forces to viscous forces, 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, Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere & Length is the measurement or extent of something from end to end.

How to calculate Nusselt number at entrance region?

The Nusselt number at entrance region formula is defined as the ratio between heat transfer by convection (α) and heat transfer by conduction alone is calculated using Nusselt Number = 0.036*(Reynolds Number Dia^0.8)*(Prandtl Number^0.33)*(Diameter/Length)^0.055. To calculate Nusselt number at entrance region, you need Reynolds Number Dia (Re_D), Prandtl Number (Pr), Diameter (D) & Length (L). With our tool, you need to enter the respective value for Reynolds Number Dia, Prandtl Number, Diameter & Length 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 Dia, Prandtl Number, Diameter & Length. We can use 6 other way(s) to calculate the same, which is/are as follows -

Nusselt Number = 0.027*(Reynolds Number Dia^0.8)*(Prandtl Number^0.333)*(Dynamic Viscosity at Mean Temperature/Dynamic Viscosity at Wall Temperature)^0.14
Nusselt Number = 5+0.025*(Reynolds Number Dia*Prandtl Number)^0.8
Nusselt Number = 4.82+0.0185*(Reynolds Number Dia*Prandtl Number)^0.827
Nusselt Number = 0.625*(Reynolds Number Dia*Prandtl Number)^0.4
Nusselt Number = 3.0*Reynolds Number Dia^0.0833
Nusselt Number = ((0.027)*((Reynolds Number)^(0.8)))*((Prandtl Number)^(1/3))*((Average Viscosity of Fluid/Wall Viscosity)^(0.14))

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