Thermal entry length Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length = 0.04*Reynolds Number Dia*Diameter*Prandtl Number
L = 0.04*ReD*D*Pr
This formula uses 4 Variables
Variables Used
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
Reynolds Number Dia - Reynolds Number Dia is the ratio of inertial forces to viscous forces.
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.
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
Reynolds Number Dia: 1600 --> No Conversion Required
Diameter: 10 Meter --> 10 Meter No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = 0.04*ReD*D*Pr --> 0.04*1600*10*0.7
Evaluating ... ...
L = 448
STEP 3: Convert Result to Output's Unit
448 Meter --> No Conversion Required
FINAL ANSWER
448 Meter <-- Length
(Calculation completed in 00.004 seconds)

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15 Laminar Flow Calculators

Nusselt Number by Sieder-Tate for Shorter Tubes
Go Nusselt Number = ((1.86)*((Reynolds Number)^(1/3))* ((Prandtl Number)^(1/3))* ((Diameter of Tube/Length of Cylinder)^(1/3))* ((Fluid Viscosity (at fluid bulk temperature)/Fluid Viscosity (At pipe wall temperature))^(0.14)))
Nusselt number for hydrodynamic length fully developed and thermal length still developing
Go Nusselt Number = 3.66+((0.0668*(Diameter/Length)*Reynolds Number Dia*Prandtl Number)/(1+0.04*((Diameter/Length)*Reynolds Number Dia*Prandtl Number)^0.67))
Nusselt number for simultaneous development of hydrodynamic and thermal layers
Go Nusselt Number = 3.66+((0.104*(Reynolds Number Dia*Prandtl Number*(Diameter/Length)))/(1+0.16*(Reynolds Number Dia*Prandtl Number*(Diameter/Length))^0.8))
Nusselt number for simultaneous development of hydrodynamic and thermal layers for liquids
Go Nusselt Number = 1.86*(((Reynolds Number Dia*Prandtl Number)/(Length/Diameter))^0.333)*(Dynamic Viscosity at Bulk Temperature/Dynamic Viscosity at Wall Temperature)^0.14
Nusselt number for short tube thermal development
Go Nusselt Number = 1.30*((Reynolds Number Dia*Prandtl Number)/(Length/Diameter))^0.333
Nusselt number for short lengths
Go Nusselt Number = 1.67*(Reynolds Number Dia*Prandtl Number*Diameter/Length)^0.333
Diameter of thermal entry tube
Go Diameter = Length/(0.04*Reynolds Number Dia*Prandtl Number)
Thermal entry length
Go Length = 0.04*Reynolds Number Dia*Diameter*Prandtl Number
Stanton number for Colburn analogy
Go Stanton Number = Darcy Friction Factor/(8*(Prandtl Number^0.67))
Darcy friction factor for Colburn analogy
Go Darcy Friction Factor = 8*Stanton Number*Prandtl Number^0.67
Colburn's j-factor
Go Colburn's j-factor = Stanton Number*(Prandtl Number)^(2/3)
Diameter of hydrodynamic entry tube
Go Diameter = Length/(0.04*Reynolds Number Dia)
Hydrodynamic entry length
Go Length = 0.04*Diameter*Reynolds Number Dia
Darcy friction factor
Go Darcy Friction Factor = 64/Reynolds Number Dia
Reynolds Number given Darcy Friction Factor
Go Reynolds Number = 64/Darcy Friction Factor

Thermal entry length Formula

Length = 0.04*Reynolds Number Dia*Diameter*Prandtl Number
L = 0.04*ReD*D*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*Prandtl Number to calculate the Length, The Thermal entry length formula is defined as the distance for incoming flow in a pipe to form a temperature profile of stable shape. 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 (ReD), Diameter (D) & 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*10*0.7.

FAQ

What is Thermal entry length?
The Thermal entry length formula is defined as the distance for incoming flow in a pipe to form a temperature profile of stable shape and is represented as L = 0.04*ReD*D*Pr or Length = 0.04*Reynolds Number Dia*Diameter*Prandtl Number. Reynolds Number Dia is the ratio of inertial forces to viscous forces, Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere & 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 Thermal entry length?
The Thermal entry length formula is defined as the distance for incoming flow in a pipe to form a temperature profile of stable shape is calculated using Length = 0.04*Reynolds Number Dia*Diameter*Prandtl Number. To calculate Thermal entry length, you need Reynolds Number Dia (ReD), Diameter (D) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Reynolds Number Dia, Diameter & 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 & Prandtl Number. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Length = 0.04*Diameter*Reynolds Number Dia
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