Nusselt number for simultaneous development of hydrodynamic and thermal layers 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 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 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 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.ⓘ 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 for simultaneous development of hydrodynamic and thermal layers [Nu]

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Nusselt number for simultaneous development of hydrodynamic and thermal layers Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
Nu = 3.66+((0.104*(Re_D*Pr*(D_t/L)))/(1+0.16*(Re_D*Pr*(D_t/L))^0.8))
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 that helps predict flow patterns in fluid mechanics, specifically for laminar flow in tubes based on diameter.
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 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.
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.

STEP 1: Convert Input(s) to Base Unit

Reynolds Number Dia: 1600 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required
Diameter of Thermal Entry Tube: 0.066964 Meter --> 0.066964 Meter No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu = 3.66+((0.104*(Re_D*Pr*(D_t/L)))/(1+0.16*(Re_D*Pr*(D_t/L))^0.8)) --> 3.66+((0.104*(1600*0.7*(0.066964/3)))/(1+0.16*(1600*0.7*(0.066964/3))^0.8))

Evaluating ... ...

Nu = 4.49837748974195

STEP 3: Convert Result to Output's Unit

4.49837748974195 --> No Conversion Required

FINAL ANSWER

4.49837748974195 ≈ 4.498377 <-- Nusselt Number

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Internal Flow » Flow inside tubes » Mechanical » Laminar Flow » Nusselt number for simultaneous development of hydrodynamic and thermal layers

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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 for simultaneous development of hydrodynamic and thermal layers Formula

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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 simultaneous development of hydrodynamic and thermal layers?

Nusselt number for simultaneous development of hydrodynamic and thermal layers calculator uses 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)) to calculate the Nusselt Number, Nusselt number for simultaneous development of hydrodynamic and thermal layers formula is defined as a dimensionless number that characterizes the convective heat transfer in fluid flow, indicating the relationship between thermal and hydrodynamic boundary layer development. Nusselt Number is denoted by Nu symbol.

How to calculate Nusselt number for simultaneous development of hydrodynamic and thermal layers using this online calculator? To use this online calculator for Nusselt number for simultaneous development of hydrodynamic and thermal layers, enter Reynolds Number Dia (Re_D), Prandtl Number (Pr), Diameter of Thermal Entry Tube (D_t) & Length (L) and hit the calculate button. Here is how the Nusselt number for simultaneous development of hydrodynamic and thermal layers calculation can be explained with given input values -> 4.498377 = 3.66+((0.104*(1600*0.7*(0.066964/3)))/(1+0.16*(1600*0.7*(0.066964/3))^0.8)).

FAQ

What is Nusselt number for simultaneous development of hydrodynamic and thermal layers?

Nusselt number for simultaneous development of hydrodynamic and thermal layers formula is defined as a dimensionless number that characterizes the convective heat transfer in fluid flow, indicating the relationship between thermal and hydrodynamic boundary layer development and is represented as Nu = 3.66+((0.104*(Re_D*Pr*(D_t/L)))/(1+0.16*(Re_D*Pr*(D_t/L))^0.8)) or 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)). 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 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 Thermal Entry Tube is the width of the tube through which fluid flows, impacting heat transfer efficiency in laminar flow conditions & 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.

How to calculate Nusselt number for simultaneous development of hydrodynamic and thermal layers?

Nusselt number for simultaneous development of hydrodynamic and thermal layers formula is defined as a dimensionless number that characterizes the convective heat transfer in fluid flow, indicating the relationship between thermal and hydrodynamic boundary layer development is calculated using 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)). To calculate Nusselt number for simultaneous development of hydrodynamic and thermal layers, you need Reynolds Number Dia (Re_D), Prandtl Number (Pr), Diameter of Thermal Entry Tube (D_t) & Length (L). With our tool, you need to enter the respective value for Reynolds Number Dia, Prandtl Number, Diameter of Thermal Entry Tube & 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 of Thermal Entry Tube & Length. 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 = 1.86*(((Reynolds Number Dia*Prandtl Number)/(Length/Diameter of Hydrodynamic Entry Tube))^0.333)*(Dynamic Viscosity at Bulk Temperature/Dynamic Viscosity at Wall Temperature)^0.14

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