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Nusselt number when property variation is larger due to temperature variation Formula

GoNusselt Number based on Diameter Formula

GoNusselt number for liquids and gases 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 = 0.25 \cdot ({Re}^{0.6}) \cdot ({Pr}^{0.38}) \cdot {(\frac{P f}{Pr w})}^{0.25}

Nu - Nusselt Number?Re - Reynolds Number?Pr - Prandtl Number?P_f - Prandtl Number at Film Temperature?Pr_w - Prandtl Number at Wall Temperature?

Nusselt number when property variation is larger due to temperature variation Example

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Here is how the Nusselt number when property variation is larger due to temperature variation equation looks like with Values.

Here is how the Nusselt number when property variation is larger due to temperature variation equation looks like with Units.

Here is how the Nusselt number when property variation is larger due to temperature variation equation looks like.

1.258 = 0.25 \cdot (5^{0.6}) \cdot ({0.7}^{0.38}) \cdot {(\frac{19}{0.82})}^{0.25}

1.258 = 0.25 \cdot (5^{0.6}) \cdot ({0.7}^{0.38}) \cdot {(\frac{19}{0.82})}^{0.25}

1.258 = 0.25 \cdot (5^{0.6}) \cdot ({0.7}^{0.38}) \cdot {(\frac{19}{0.82})}^{0.25}

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Nusselt number when property variation is larger due to temperature variation Solution

Follow our step by step solution on how to calculate Nusselt number when property variation is larger due to temperature variation?

FIRST Step Consider the formula

Nu = 0.25 \cdot ({Re}^{0.6}) \cdot ({Pr}^{0.38}) \cdot {(\frac{P f}{Pr w})}^{0.25}

Next Step Substitute values of Variables

∴

Nu = 0.25 \cdot (5^{0.6}) \cdot ({0.7}^{0.38}) \cdot {(\frac{19}{0.82})}^{0.25}

Next Step Prepare to Evaluate

∴

Nu = 0.25 \cdot (5^{0.6}) \cdot ({0.7}^{0.38}) \cdot {(\frac{19}{0.82})}^{0.25}

Next Step Evaluate

∴

Nu = 1.25803928649185

LAST Step Rounding Answer

∴

Nu = 1.258

Nusselt number when property variation is larger due to temperature variation 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.

Formulas to find Nusselt Number

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.

Symbol: Re

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reynolds Number

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.

Formulas to find Prandtl Number

Prandtl Number at Film Temperature

Prandtl Number at Film Temperature is the ratio of momentum diffusivity to thermal diffusivity at the film temperature.

Symbol: P_f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Prandtl Number at Film Temperature

Prandtl Number at Wall Temperature

Prandtl Number at Wall Temperature is the ratio of momentum diffusivity to thermal diffusivity at the wall temperature.

Symbol: Pr_w

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Prandtl Number at Wall Temperature

Other Formulas to find Nusselt Number

Go Nusselt Number based on Diameter

Nu = (0.35 + 0.56 \cdot ({Re}^{0.52})) \cdot {Pr}^{0.33}

Go Nusselt number for liquids and gases

Nu = (0.43 + 0.50 \cdot ({Re}^{0.5})) \cdot {Pr}^{0.38}

Go Nusselt number given dynamic viscosity

Nu = (0.4 \cdot ({Re}^{0.5}) + 0.06 \cdot ({Re}^{0.67})) \cdot ({Pr}^{0.4}) \cdot {(\frac{μ ∞}{μ w})}^{0.25}

Go Nusselt number for liquid metals and silicones

Nu = 0.3 + (\frac{0.62 \cdot ({Re}^{0.5}) \cdot ({Pr}^{0.333})}{{(1 + ({(\frac{0.4}{Pr})}^{0.67}))}^{0.25}}) \cdot {(1 + {(\frac{Re}{282000})}^{0.625})}^{0.8}

How to Evaluate Nusselt number when property variation is larger due to temperature variation?

Nusselt number when property variation is larger due to temperature variation evaluator uses Nusselt Number = 0.25*(Reynolds Number^0.6)*(Prandtl Number^0.38)*(Prandtl Number at Film Temperature/Prandtl Number at Wall Temperature)^0.25 to evaluate the Nusselt Number, Nusselt number when property variation is larger due to temperature variation formula is defined as a dimensionless quantity that characterizes convective heat transfer between a fluid and a solid surface, where the thermal conductivity of the fluid varies significantly with temperature. Nusselt Number is denoted by Nu symbol.

How to evaluate Nusselt number when property variation is larger due to temperature variation using this online evaluator? To use this online evaluator for Nusselt number when property variation is larger due to temperature variation, enter Reynolds Number (Re), Prandtl Number (Pr), Prandtl Number at Film Temperature (P_f) & Prandtl Number at Wall Temperature (Pr_w) and hit the calculate button.

FAQs on Nusselt number when property variation is larger due to temperature variation

What is the formula to find Nusselt number when property variation is larger due to temperature variation?

The formula of Nusselt number when property variation is larger due to temperature variation is expressed as Nusselt Number = 0.25*(Reynolds Number^0.6)*(Prandtl Number^0.38)*(Prandtl Number at Film Temperature/Prandtl Number at Wall Temperature)^0.25. Here is an example- 0.59489 = 0.25*(5^0.6)*(0.7^0.38)*(19/0.82)^0.25.

How to calculate Nusselt number when property variation is larger due to temperature variation?

With Reynolds Number (Re), Prandtl Number (Pr), Prandtl Number at Film Temperature (P_f) & Prandtl Number at Wall Temperature (Pr_w) we can find Nusselt number when property variation is larger due to temperature variation using the formula - Nusselt Number = 0.25*(Reynolds Number^0.6)*(Prandtl Number^0.38)*(Prandtl Number at Film Temperature/Prandtl Number at Wall Temperature)^0.25.

What are the other ways to Calculate Nusselt Number?

Here are the different ways to Calculate Nusselt Number-

Nusselt Number=(0.35+0.56*(Reynolds Number^0.52))*Prandtl Number^0.33
Nusselt Number=(0.43+0.50*(Reynolds Number^0.5))*Prandtl Number^0.38
Nusselt Number=(0.4*(Reynolds Number^0.5)+0.06*(Reynolds Number^0.67))*(Prandtl Number^0.4)*(Dynamic Viscosity at Free Stream Temperature/Dynamic Viscosity at Wall Temperature)^0.25

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Nusselt number when property variation is larger due to temperature variation Formula

​GoNusselt Number based on Diameter Formula

​GoNusselt number for liquids and gases Formula

Nusselt number when property variation is larger due to temperature variation Example

Nusselt number when property variation is larger due to temperature variation Solution

Nusselt number when property variation is larger due to temperature variation Formula Elements

Other Formulas to find Nusselt Number

How to Evaluate Nusselt number when property variation is larger due to temperature variation?

FAQs on Nusselt number when property variation is larger due to temperature variation

Variable Name

GoNusselt Number based on Diameter Formula

GoNusselt number for liquids and gases Formula