Nusselt number at entrance region Calculator

✖The Reynolds Number Dia is a dimensionless quantity used to predict flow patterns in fluid mechanics, specifically for turbulent flow in pipes based on diameter.ⓘ Reynolds Number Dia [Re_D]			+10% -10%
✖The Prandtl Number is a dimensionless quantity that relates the rate of momentum diffusion to the rate of thermal diffusion in fluid flow, indicating the relative importance of these processes.ⓘ Prandtl Number [Pr]			+10% -10%
✖The Diameter is the straight line passing through the center of a circle or tube, connecting two points on its boundary, crucial for understanding flow characteristics in turbulent systems.ⓘ Diameter [D]			+10% -10%
✖The Length is the measurement of the distance along a flow path in turbulent flow conditions within tubes, influencing the flow characteristics and heat transfer efficiency.ⓘ Length [L]			+10% -10%

✖The Nusselt Number is a dimensionless quantity that represents the ratio of convective to conductive heat transfer in fluid flow, indicating the efficiency of heat transfer.ⓘ Nusselt number at entrance region [Nu]

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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 a dimensionless quantity that represents the ratio of convective to conductive heat transfer in fluid flow, indicating the efficiency of heat transfer.
Reynolds Number Dia - The Reynolds Number Dia is a dimensionless quantity used to predict flow patterns in fluid mechanics, specifically for turbulent flow in pipes based on diameter.
Prandtl Number - The Prandtl Number is a dimensionless quantity that relates the rate of momentum diffusion to the rate of thermal diffusion in fluid flow, indicating the relative importance of these processes.
Diameter - (Measured in Meter) - The Diameter is the straight line passing through the center of a circle or tube, connecting two points on its boundary, crucial for understanding flow characteristics in turbulent systems.
Length - (Measured in Meter) - The Length is the measurement of the distance along a flow path in turbulent flow conditions within tubes, influencing the flow characteristics and heat transfer efficiency.

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: 33 Meter --> 33 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)*(10/33)^0.055

Evaluating ... ...

Nu = 10.9638370800075

STEP 3: Convert Result to Output's Unit

10.9638370800075 --> No Conversion Required

FINAL ANSWER

10.9638370800075 ≈ 10.96384 <-- Nusselt Number

(Calculation completed in 00.043 seconds)

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< Turbulent Flow Calculators

Friction factor for rough tubes

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

Friction factor for Re greater than 2300

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

Friction factor for Re greater than 10000

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

Friction factor for transitional turbulent flow

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

Nusselt number at entrance region Formula

LaTeX Go

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 Nusselt Number?

The Nusselt number is a dimensionless quantity used in heat transfer to describe the ratio of convective to conductive heat transfer across a boundary. It indicates the efficiency of heat transfer in a fluid flow system, with higher values representing more effective convection. Engineers use the Nusselt number to design and analyze heat exchangers, cooling systems, and thermal processes for optimal performance.

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)*(10/33)^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. The Reynolds Number Dia is a dimensionless quantity used to predict flow patterns in fluid mechanics, specifically for turbulent flow in pipes based on diameter, The Prandtl Number is a dimensionless quantity that relates the rate of momentum diffusion to the rate of thermal diffusion in fluid flow, indicating the relative importance of these processes, The Diameter is the straight line passing through the center of a circle or tube, connecting two points on its boundary, crucial for understanding flow characteristics in turbulent systems & The Length is the measurement of the distance along a flow path in turbulent flow conditions within tubes, influencing the flow characteristics and heat transfer efficiency.

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 3 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

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