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Nusselt Number by Sieder-Tate for Shorter Tubes Formula

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GoNusselt number for hydrodynamic length fully developed and thermal length still developing Formula

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GoNusselt number for short lengths Formula

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The Nusselt Number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion. Check FAQs

Nu = ((1.86) \cdot ({(Re)}^{\frac{1}{3}}) \cdot ({(Pr)}^{\frac{1}{3}}) \cdot ({(\frac{d}{l})}^{\frac{1}{3}}) \cdot ({(\frac{μ b}{μ pw})}^{0.14}))

Nu - Nusselt Number?Re - Reynolds Number?Pr - Prandtl Number?d - Diameter of Tube?l - Length of Cylinder?μ_b - Fluid Viscosity (at fluid bulk temperature)?μ_pw - Fluid Viscosity (At pipe wall temperature)?

Nusselt Number by Sieder-Tate for Shorter Tubes Example

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Here is how the Nusselt Number by Sieder-Tate for Shorter Tubes equation looks like with Values.

Here is how the Nusselt Number by Sieder-Tate for Shorter Tubes equation looks like with Units.

Here is how the Nusselt Number by Sieder-Tate for Shorter Tubes equation looks like.

23.3088 = ((1.86) \cdot ({(5000)}^{\frac{1}{3}}) \cdot ({(0.7)}^{\frac{1}{3}}) \cdot ({(\frac{4}{6})}^{\frac{1}{3}}) \cdot ({(\frac{8}{12})}^{0.14}))

23.3088 = ((1.86) \cdot ({(5000)}^{\frac{1}{3}}) \cdot ({(0.7)}^{\frac{1}{3}}) \cdot ({(\frac{4m}{6m})}^{\frac{1}{3}}) \cdot ({(\frac{8Pa*s}{12Pa*s})}^{0.14}))

23.3088 = ((1.86) \cdot ({(5000)}^{\frac{1}{3}}) \cdot ({(0.7)}^{\frac{1}{3}}) \cdot ({(\frac{4}{6})}^{\frac{1}{3}}) \cdot ({(\frac{8}{12})}^{0.14}))

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Home » Physics » Mechanical » Heat and Mass Transfer » Nusselt Number by Sieder-Tate for Shorter Tubes

Nusselt Number by Sieder-Tate for Shorter Tubes Solution

Follow our step by step solution on how to calculate Nusselt Number by Sieder-Tate for Shorter Tubes?

FIRST Step Consider the formula

Nu = ((1.86) \cdot ({(Re)}^{\frac{1}{3}}) \cdot ({(Pr)}^{\frac{1}{3}}) \cdot ({(\frac{d}{l})}^{\frac{1}{3}}) \cdot ({(\frac{μ b}{μ pw})}^{0.14}))

Next Step Substitute values of Variables

∴

Nu = ((1.86) \cdot ({(5000)}^{\frac{1}{3}}) \cdot ({(0.7)}^{\frac{1}{3}}) \cdot ({(\frac{4m}{6m})}^{\frac{1}{3}}) \cdot ({(\frac{8Pa*s}{12Pa*s})}^{0.14}))

Next Step Prepare to Evaluate

∴

Nu = ((1.86) \cdot ({(5000)}^{\frac{1}{3}}) \cdot ({(0.7)}^{\frac{1}{3}}) \cdot ({(\frac{4}{6})}^{\frac{1}{3}}) \cdot ({(\frac{8}{12})}^{0.14}))

Next Step Evaluate

∴

Nu = 23.3087560406245

LAST Step Rounding Answer

∴

Nu = 23.3088

Nusselt Number by Sieder-Tate for Shorter Tubes Formula Elements

Variables

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.

Symbol: Nu

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Reynolds Number

The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe.

Symbol: Re

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

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.

Symbol: Pr

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Diameter of Tube

Diameter of tube is defined as the OUTSIDE DIAMETER (O.D.), specified in inches (e.g., 1.250) or fraction of an inch (eg. 1-1/4″).

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Length of Cylinder

Length of Cylinder is the vertical height of the Cylinder.

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Fluid Viscosity (at fluid bulk temperature)

Fluid Viscosity (at fluid bulk temperature) is the resistance offered by the fluid with respect to the fluid bulk temperature(in kelvin).

Symbol: μ_b

Measurement: Dynamic ViscosityUnit: Pa*s

Note: Value should be greater than 0.

Fluid Viscosity (At pipe wall temperature)

Fluid Viscosity (At pipe wall temperature) is the resistance offered by the fluid with respect to the pipe wall temperature(in kelvin).

Symbol: μ_pw

Measurement: Dynamic ViscosityUnit: Pa*s

Note: Value should be greater than 0.

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Created by Prasana Kannan

Sri sivasubramaniyanadar college of engineering (ssn college of engineering), Chennai

Prasana Kannan has created this Formula and 25+ more formulas!

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Other Formulas to find Nusselt Number

Go Nusselt number for hydrodynamic length fully developed and thermal length still developing

Nu = 3.66 + (\frac{0.0668 \cdot (\frac{D}{L}) \cdot Re D \cdot Pr}{1 + 0.04 \cdot {((\frac{D}{L}) \cdot Re D \cdot Pr)}^{0.67}})

Go Nusselt number for short lengths

Nu = 1.67 \cdot {(Re D \cdot Pr \cdot \frac{D}{L})}^{0.333}

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df = \frac{64}{Re D}

Go Reynolds Number given Darcy Friction Factor

Re = \frac{64}{df}

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

Nusselt Number by Sieder-Tate for Shorter Tubes evaluator 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 evaluate the Nusselt Number, The Nusselt Number by Sieder-Tate for Shorter Tubes formula is used when the difference between the surface and the fluid temperatures is large, it may be necessary to account for the viscosity variation with temperature. Nusselt Number is denoted by Nu symbol.

How to evaluate Nusselt Number by Sieder-Tate for Shorter Tubes using this online evaluator? To use this online evaluator 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.

FAQs on Nusselt Number by Sieder-Tate for Shorter Tubes

What is the formula to find Nusselt Number by Sieder-Tate for Shorter Tubes?

The formula of Nusselt Number by Sieder-Tate for Shorter Tubes is expressed as 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))). Here is an example- 23.30876 = ((1.86)*((5000)^(1/3))*((0.7)^(1/3))*((4/6)^(1/3))*((8/12)^(0.14))).

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

With 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) we can find Nusselt Number by Sieder-Tate for Shorter Tubes using the formula - 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))).

What are the other ways to Calculate Nusselt Number?

Here are the different ways to Calculate Nusselt Number-

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=1.67*(Reynolds Number Dia*Prandtl Number*Diameter/Length)^0.333
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))

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