Nusselt number for short lengths Solution

STEP 0: Pre-Calculation Summary
Formula Used
Nusselt Number = 1.67*(Reynolds Number Dia*Prandtl Number*Diameter/Length)^0.333
Nu = 1.67*(ReD*Pr*D/L)^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 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 = 1.67*(ReD*Pr*D/L)^0.333 --> 1.67*(1600*0.7*10/3)^0.333
Evaluating ... ...
Nu = 25.8359654368098
STEP 3: Convert Result to Output's Unit
25.8359654368098 --> No Conversion Required
FINAL ANSWER
25.8359654368098 25.83597 <-- Nusselt Number
(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

Nusselt number for short lengths Formula

Nusselt Number = 1.67*(Reynolds Number Dia*Prandtl Number*Diameter/Length)^0.333
Nu = 1.67*(ReD*Pr*D/L)^0.333

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 for short lengths?

Nusselt number for short lengths calculator uses Nusselt Number = 1.67*(Reynolds Number Dia*Prandtl Number*Diameter/Length)^0.333 to calculate the Nusselt Number, The Nusselt number for short lengths 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 for short lengths using this online calculator? To use this online calculator for Nusselt number for short lengths, enter Reynolds Number Dia (ReD), Prandtl Number (Pr), Diameter (D) & Length (L) and hit the calculate button. Here is how the Nusselt number for short lengths calculation can be explained with given input values -> 25.83597 = 1.67*(1600*0.7*10/3)^0.333.

FAQ

What is Nusselt number for short lengths?
The Nusselt number for short lengths formula is defined as the ratio between heat transfer by convection (α) and heat transfer by conduction alone and is represented as Nu = 1.67*(ReD*Pr*D/L)^0.333 or Nusselt Number = 1.67*(Reynolds Number Dia*Prandtl Number*Diameter/Length)^0.333. 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 for short lengths?
The Nusselt number for short lengths formula is defined as the ratio between heat transfer by convection (α) and heat transfer by conduction alone is calculated using Nusselt Number = 1.67*(Reynolds Number Dia*Prandtl Number*Diameter/Length)^0.333. To calculate Nusselt number for short lengths, you need Reynolds Number Dia (ReD), 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 5 other way(s) to calculate the same, which is/are as follows -
  • 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 = 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 = 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 = 1.30*((Reynolds Number Dia*Prandtl Number)/(Length/Diameter))^0.333
  • 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)))
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