Nusselt Number by Sieder-Tate for Shorter Tubes Calculator

✖The Reynolds Number is a dimensionless quantity that helps predict flow patterns in different fluid flow situations, particularly distinguishing between laminar and turbulent flow in tubes.ⓘ Reynolds Number [Re]			+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 Diameter of Tube is the measurement across the widest part of a tube, influencing flow characteristics and pressure drop in laminar flow conditions.ⓘ Diameter of Tube [d]			+10% -10%
✖The Length of Cylinder is the measurement of the distance from one end of the cylinder to the other, crucial for understanding flow characteristics in laminar flow scenarios.ⓘ Length of Cylinder [l]			+10% -10%
✖The Fluid Viscosity (at fluid bulk temperature) is a measure of a fluid's resistance to flow, influenced by temperature and affecting the behavior of fluids in laminar flow conditions.ⓘ Fluid Viscosity (at fluid bulk temperature) [μ_b]			+10% -10%
✖The Fluid Viscosity (At pipe wall temperature) is a measure of a fluid's resistance to flow at the temperature of the pipe wall, influencing flow behavior in tubes.ⓘ Fluid Viscosity (At pipe wall temperature) [μ_pw]			+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 by Sieder-Tate for Shorter Tubes [Nu]

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Nusselt Number by Sieder-Tate for Shorter Tubes Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
Nu = ((1.86)*((Re)^(1/3))*((Pr)^(1/3))*((d/l)^(1/3))*((μ_b/μ_pw)^(0.14)))
This formula uses 7 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 - The Reynolds Number is a dimensionless quantity that helps predict flow patterns in different fluid flow situations, particularly distinguishing between laminar and turbulent flow in tubes.
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.
Diameter of Tube - (Measured in Meter) - The Diameter of Tube is the measurement across the widest part of a tube, influencing flow characteristics and pressure drop in laminar flow conditions.
Length of Cylinder - (Measured in Meter) - The Length of Cylinder is the measurement of the distance from one end of the cylinder to the other, crucial for understanding flow characteristics in laminar flow scenarios.
Fluid Viscosity (at fluid bulk temperature) - (Measured in Pascal Second) - The Fluid Viscosity (at fluid bulk temperature) is a measure of a fluid's resistance to flow, influenced by temperature and affecting the behavior of fluids in laminar flow conditions.
Fluid Viscosity (At pipe wall temperature) - (Measured in Pascal Second) - The Fluid Viscosity (At pipe wall temperature) is a measure of a fluid's resistance to flow at the temperature of the pipe wall, influencing flow behavior in tubes.

STEP 1: Convert Input(s) to Base Unit

Reynolds Number: 4000 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required
Diameter of Tube: 0.036 Meter --> 0.036 Meter No Conversion Required
Length of Cylinder: 6 Meter --> 6 Meter No Conversion Required
Fluid Viscosity (at fluid bulk temperature): 8 Pascal Second --> 8 Pascal Second No Conversion Required
Fluid Viscosity (At pipe wall temperature): 12 Pascal Second --> 12 Pascal Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu = ((1.86)*((Re)^(1/3))*((Pr)^(1/3))*((d/l)^(1/3))*((μ_b/μ_pw)^(0.14))) --> ((1.86)*((4000)^(1/3))*((0.7)^(1/3))*((0.036/6)^(1/3))*((8/12)^(0.14)))

Evaluating ... ...

Nu = 4.50087130511706

STEP 3: Convert Result to Output's Unit

4.50087130511706 --> No Conversion Required

FINAL ANSWER

4.50087130511706 ≈ 4.500871 <-- Nusselt Number

(Calculation completed in 00.004 seconds)

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Created by Prasana Kannan

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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

Nusselt Number by Sieder-Tate for Shorter Tubes Formula

LaTeX Go

What is Sieder-Tate equation?

This equation validates tubes over a large Reynolds number range, including the transition region. The Darcy friction factor, f, is a dimensionless quantity used in the Darcy–Weisbach equation for the description of frictional losses in pipe or duct as well as for open-channel flow.

What is Nusselt Number?

The Nusselt number is defined as the ratio of convection heat transfer to fluid conduction heat transfer under the same conditions.

How to Calculate Nusselt Number by Sieder-Tate for Shorter Tubes?

Nusselt Number by Sieder-Tate for Shorter Tubes calculator uses 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))) to calculate the Nusselt Number, Nusselt Number by Sieder-Tate for Shorter Tubes formula is defined as a dimensionless number that characterizes the convective heat transfer in laminar flow through tubes, accounting for the effects of Reynolds and Prandtl numbers along with the tube's diameter and length ratio. Nusselt Number is denoted by Nu symbol.

How to calculate Nusselt Number by Sieder-Tate for Shorter Tubes using this online calculator? To use this online calculator for Nusselt Number by Sieder-Tate for Shorter Tubes, enter Reynolds Number (Re), Prandtl Number (Pr), Diameter of Tube (d), Length of Cylinder (l), Fluid Viscosity (at fluid bulk temperature) (μ_b) & Fluid Viscosity (At pipe wall temperature) (μ_pw) and hit the calculate button. Here is how the Nusselt Number by Sieder-Tate for Shorter Tubes calculation can be explained with given input values -> 4.500871 = ((1.86)*((4000)^(1/3))*((0.7)^(1/3))*((0.036/6)^(1/3))*((8/12)^(0.14))).

FAQ

What is Nusselt Number by Sieder-Tate for Shorter Tubes?

Nusselt Number by Sieder-Tate for Shorter Tubes formula is defined as a dimensionless number that characterizes the convective heat transfer in laminar flow through tubes, accounting for the effects of Reynolds and Prandtl numbers along with the tube's diameter and length ratio and is represented as Nu = ((1.86)*((Re)^(1/3))*((Pr)^(1/3))*((d/l)^(1/3))*((μ_b/μ_pw)^(0.14))) or 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))). The Reynolds Number is a dimensionless quantity that helps predict flow patterns in different fluid flow situations, particularly distinguishing between laminar and turbulent flow in tubes, 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, The Diameter of Tube is the measurement across the widest part of a tube, influencing flow characteristics and pressure drop in laminar flow conditions, The Length of Cylinder is the measurement of the distance from one end of the cylinder to the other, crucial for understanding flow characteristics in laminar flow scenarios, The Fluid Viscosity (at fluid bulk temperature) is a measure of a fluid's resistance to flow, influenced by temperature and affecting the behavior of fluids in laminar flow conditions & The Fluid Viscosity (At pipe wall temperature) is a measure of a fluid's resistance to flow at the temperature of the pipe wall, influencing flow behavior in tubes.

How to calculate Nusselt Number by Sieder-Tate for Shorter Tubes?

How many ways are there to calculate Nusselt Number?

In this formula, Nusselt Number uses Reynolds Number, Prandtl Number, Diameter of Tube, Length of Cylinder, Fluid Viscosity (at fluid bulk temperature) & Fluid Viscosity (At pipe wall temperature). We can use 3 other way(s) to calculate the same, which is/are as follows -

Nusselt Number = 3.66+((0.0668*(Diameter of Hydrodynamic Entry Tube/Length)*Reynolds Number Dia*Prandtl Number)/(1+0.04*((Diameter of Hydrodynamic Entry Tube/Length)*Reynolds Number Dia*Prandtl Number)^0.67))
Nusselt Number = 1.67*(Reynolds Number Dia*Prandtl Number*Diameter of Hydrodynamic Entry Tube/Length)^0.333
Nusselt Number = 3.66+((0.104*(Reynolds Number Dia*Prandtl Number*(Diameter of Thermal Entry Tube/Length)))/(1+0.16*(Reynolds Number Dia*Prandtl Number*(Diameter of Thermal Entry Tube/Length))^0.8))

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