FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Nusselt Number in Forced Convection for Cross Flow Formula

GoNusselt Number based on Diameter Formula

GoNusselt number for liquids and gases Formula

Fx Copy

LaTeX Copy

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 = 0.3 + ((\frac{((0.62) \cdot ({(Re)}^{\frac{1}{2}}) \cdot ({(Pr)}^{\frac{1}{3}}))}{{(1 + ({(\frac{0.4}{Pr})}^{\frac{2}{3}}))}^{\frac{1}{4}}}) \cdot ({(1 + ({(\frac{Re}{282000})}^{\frac{5}{8}}))}^{\frac{4}{5}}))

Nu - Nusselt Number?Re - Reynolds Number?Pr - Prandtl Number?

Nusselt Number in Forced Convection for Cross Flow Example

With values

With units

Only example

Here is how the Nusselt Number in Forced Convection for Cross Flow equation looks like with Values.

Here is how the Nusselt Number in Forced Convection for Cross Flow equation looks like with Units.

Here is how the Nusselt Number in Forced Convection for Cross Flow equation looks like.

1.3808 = 0.3 + ((\frac{((0.62) \cdot ({(5)}^{\frac{1}{2}}) \cdot ({(0.7)}^{\frac{1}{3}}))}{{(1 + ({(\frac{0.4}{0.7})}^{\frac{2}{3}}))}^{\frac{1}{4}}}) \cdot ({(1 + ({(\frac{5}{282000})}^{\frac{5}{8}}))}^{\frac{4}{5}}))

1.3808 = 0.3 + ((\frac{((0.62) \cdot ({(5)}^{\frac{1}{2}}) \cdot ({(0.7)}^{\frac{1}{3}}))}{{(1 + ({(\frac{0.4}{0.7})}^{\frac{2}{3}}))}^{\frac{1}{4}}}) \cdot ({(1 + ({(\frac{5}{282000})}^{\frac{5}{8}}))}^{\frac{4}{5}}))

1.3808 = 0.3 + ((\frac{((0.62) \cdot ({(5)}^{\frac{1}{2}}) \cdot ({(0.7)}^{\frac{1}{3}}))}{{(1 + ({(\frac{0.4}{0.7})}^{\frac{2}{3}}))}^{\frac{1}{4}}}) \cdot ({(1 + ({(\frac{5}{282000})}^{\frac{5}{8}}))}^{\frac{4}{5}}))

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Heat and Mass Transfer » fx Nusselt Number in Forced Convection for Cross Flow

Nusselt Number in Forced Convection for Cross Flow Solution

Follow our step by step solution on how to calculate Nusselt Number in Forced Convection for Cross Flow?

FIRST Step Consider the formula

Nu = 0.3 + ((\frac{((0.62) \cdot ({(Re)}^{\frac{1}{2}}) \cdot ({(Pr)}^{\frac{1}{3}}))}{{(1 + ({(\frac{0.4}{Pr})}^{\frac{2}{3}}))}^{\frac{1}{4}}}) \cdot ({(1 + ({(\frac{Re}{282000})}^{\frac{5}{8}}))}^{\frac{4}{5}}))

Next Step Substitute values of Variables

∴

Nu = 0.3 + ((\frac{((0.62) \cdot ({(5)}^{\frac{1}{2}}) \cdot ({(0.7)}^{\frac{1}{3}}))}{{(1 + ({(\frac{0.4}{0.7})}^{\frac{2}{3}}))}^{\frac{1}{4}}}) \cdot ({(1 + ({(\frac{5}{282000})}^{\frac{5}{8}}))}^{\frac{4}{5}}))

Next Step Prepare to Evaluate

∴

Nu = 0.3 + ((\frac{((0.62) \cdot ({(5)}^{\frac{1}{2}}) \cdot ({(0.7)}^{\frac{1}{3}}))}{{(1 + ({(\frac{0.4}{0.7})}^{\frac{2}{3}}))}^{\frac{1}{4}}}) \cdot ({(1 + ({(\frac{5}{282000})}^{\frac{5}{8}}))}^{\frac{4}{5}}))

Next Step Evaluate

∴

Nu = 1.3807685614648

LAST Step Rounding Answer

∴

Nu = 1.3808

Nusselt Number in Forced Convection for Cross Flow 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

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 when property variation is larger due to temperature variation

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

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}

How to Evaluate Nusselt Number in Forced Convection for Cross Flow?

Nusselt Number in Forced Convection for Cross Flow evaluator uses Nusselt Number = 0.3+(((((0.62)*((Reynolds Number)^(1/2))*((Prandtl Number)^(1/3))))/((1+((0.4/Prandtl Number)^(2/3)))^(1/4)))*((1+((Reynolds Number/282000)^(5/8)))^(4/5))) to evaluate the Nusselt Number, Nusselt Number in Forced Convection for Cross Flow formula is defined as a dimensionless quantity that characterizes convective heat transfer between a fluid and a solid surface, specifically for cross-flow over cylinders, providing a measure of the convective heat transfer coefficient. Nusselt Number is denoted by Nu symbol.

How to evaluate Nusselt Number in Forced Convection for Cross Flow using this online evaluator? To use this online evaluator for Nusselt Number in Forced Convection for Cross Flow, enter Reynolds Number (Re) & Prandtl Number (Pr) and hit the calculate button.

FAQs on Nusselt Number in Forced Convection for Cross Flow

What is the formula to find Nusselt Number in Forced Convection for Cross Flow?

The formula of Nusselt Number in Forced Convection for Cross Flow is expressed as Nusselt Number = 0.3+(((((0.62)*((Reynolds Number)^(1/2))*((Prandtl Number)^(1/3))))/((1+((0.4/Prandtl Number)^(2/3)))^(1/4)))*((1+((Reynolds Number/282000)^(5/8)))^(4/5))). Here is an example- 1.380769 = 0.3+(((((0.62)*((5)^(1/2))*((0.7)^(1/3))))/((1+((0.4/0.7)^(2/3)))^(1/4)))*((1+((5/282000)^(5/8)))^(4/5))).

How to calculate Nusselt Number in Forced Convection for Cross Flow?

With Reynolds Number (Re) & Prandtl Number (Pr) we can find Nusselt Number in Forced Convection for Cross Flow using the formula - Nusselt Number = 0.3+(((((0.62)*((Reynolds Number)^(1/2))*((Prandtl Number)^(1/3))))/((1+((0.4/Prandtl Number)^(2/3)))^(1/4)))*((1+((Reynolds Number/282000)^(5/8)))^(4/5))).

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=0.25*(Reynolds Number^0.6)*(Prandtl Number^0.38)*(Prandtl Number at Film Temperature/Prandtl Number at Wall Temperature)^0.25

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Nusselt Number in Forced Convection for Cross Flow Formula

​GoNusselt Number based on Diameter Formula

​GoNusselt number for liquids and gases Formula

Nusselt Number in Forced Convection for Cross Flow Example

Nusselt Number in Forced Convection for Cross Flow Solution

Nusselt Number in Forced Convection for Cross Flow Formula Elements

Other Formulas to find Nusselt Number

How to Evaluate Nusselt Number in Forced Convection for Cross Flow?

FAQs on Nusselt Number in Forced Convection for Cross Flow

Variable Name

GoNusselt Number based on Diameter Formula

GoNusselt number for liquids and gases Formula