Thermal entry length Calculator

✖The Reynolds Number Dia is a dimensionless quantity that helps predict flow patterns in fluid mechanics, specifically for laminar flow in tubes based on diameter.ⓘ Reynolds Number Dia [Re_D]			+10% -10%
✖The Diameter of Thermal Entry Tube is the width of the tube through which fluid flows, impacting heat transfer efficiency in laminar flow conditions.ⓘ Diameter of Thermal Entry Tube [D_t]			+10% -10%
✖The Prandtl Number is a dimensionless quantity that relates the rate of momentum diffusion to thermal diffusion in fluid flow, indicating the relative importance of convection and conduction.ⓘ Prandtl Number [Pr]			+10% -10%

✖The Length is the measurement of the distance along the flow direction in a laminar flow scenario within tubes, influencing flow characteristics and heat transfer efficiency.ⓘ Thermal entry length [L]

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Thermal entry length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length = 0.04*Reynolds Number Dia*Diameter of Thermal Entry Tube*Prandtl Number
L = 0.04*Re_D*D_t*Pr
This formula uses 4 Variables

Variables Used

Length - (Measured in Meter) - The Length is the measurement of the distance along the flow direction in a laminar flow scenario within tubes, influencing flow characteristics and heat transfer efficiency.
Reynolds Number Dia - The Reynolds Number Dia is a dimensionless quantity that helps predict flow patterns in fluid mechanics, specifically for laminar flow in tubes based on diameter.
Diameter of Thermal Entry Tube - (Measured in Meter) - The Diameter of Thermal Entry Tube is the width of the tube through which fluid flows, impacting heat transfer efficiency in laminar flow conditions.
Prandtl Number - The Prandtl Number is a dimensionless quantity that relates the rate of momentum diffusion to thermal diffusion in fluid flow, indicating the relative importance of convection and conduction.

STEP 1: Convert Input(s) to Base Unit

Reynolds Number Dia: 1600 --> No Conversion Required
Diameter of Thermal Entry Tube: 0.066964 Meter --> 0.066964 Meter No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = 0.04*Re_D*D_t*Pr --> 0.04*1600*0.066964*0.7

Evaluating ... ...

L = 2.9999872

STEP 3: Convert Result to Output's Unit

2.9999872 Meter --> No Conversion Required

FINAL ANSWER

2.9999872 ≈ 2.999987 Meter <-- Length

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Internal Flow » Flow inside tubes » Mechanical » Laminar Flow » Thermal entry length

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Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< Laminar Flow Calculators

Diameter of hydrodynamic entry tube

LaTeX Go Diameter of Hydrodynamic Entry Tube = Length/(0.04*Reynolds Number Dia)

Hydrodynamic entry length

LaTeX Go Length = 0.04*Diameter of Hydrodynamic Entry Tube*Reynolds Number Dia

Reynolds Number given Darcy Friction Factor

LaTeX Go Reynolds Number Dia = 64/Darcy Friction Factor

Darcy friction factor

LaTeX Go Darcy Friction Factor = 64/Reynolds Number Dia

Thermal entry length Formula

LaTeX Go

Length = 0.04*Reynolds Number Dia*Diameter of Thermal Entry Tube*Prandtl Number
L = 0.04*Re_D*D_t*Pr

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 Thermal entry length?

Thermal entry length calculator uses Length = 0.04*Reynolds Number Dia*Diameter of Thermal Entry Tube*Prandtl Number to calculate the Length, Thermal entry length formula is defined as a measure of the distance required for a fluid to reach thermal equilibrium within a tube, influencing heat transfer efficiency in laminar flow conditions. Length is denoted by L symbol.

How to calculate Thermal entry length using this online calculator? To use this online calculator for Thermal entry length, enter Reynolds Number Dia (Re_D), Diameter of Thermal Entry Tube (D_t) & Prandtl Number (Pr) and hit the calculate button. Here is how the Thermal entry length calculation can be explained with given input values -> 448 = 0.04*1600*0.066964*0.7.

FAQ

What is Thermal entry length?

Thermal entry length formula is defined as a measure of the distance required for a fluid to reach thermal equilibrium within a tube, influencing heat transfer efficiency in laminar flow conditions and is represented as L = 0.04*Re_D*D_t*Pr or Length = 0.04*Reynolds Number Dia*Diameter of Thermal Entry Tube*Prandtl Number. The Reynolds Number Dia is a dimensionless quantity that helps predict flow patterns in fluid mechanics, specifically for laminar flow in tubes based on diameter, The Diameter of Thermal Entry Tube is the width of the tube through which fluid flows, impacting heat transfer efficiency in laminar flow conditions & The Prandtl Number is a dimensionless quantity that relates the rate of momentum diffusion to thermal diffusion in fluid flow, indicating the relative importance of convection and conduction.

How to calculate Thermal entry length?

Thermal entry length formula is defined as a measure of the distance required for a fluid to reach thermal equilibrium within a tube, influencing heat transfer efficiency in laminar flow conditions is calculated using Length = 0.04*Reynolds Number Dia*Diameter of Thermal Entry Tube*Prandtl Number. To calculate Thermal entry length, you need Reynolds Number Dia (Re_D), Diameter of Thermal Entry Tube (D_t) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Reynolds Number Dia, Diameter of Thermal Entry Tube & 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 Length?

In this formula, Length uses Reynolds Number Dia, Diameter of Thermal Entry Tube & Prandtl Number. We can use 1 other way(s) to calculate the same, which is/are as follows -

Length = 0.04*Diameter of Hydrodynamic Entry Tube*Reynolds Number Dia

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