FormulaDen.com

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

Effective thermal conductivity given Prandtl number Formula

GoEffective thermal conductivity for annular space between concentric cylinders Formula

GoEffective thermal conductivity for space between two concentric spheres Formula

Fx Copy

LaTeX Copy

Effective Thermal Conductivity is the rate of heat transfer through a unit thickness of the material per unit area per unit temperature difference. Check FAQs

k Eff = 0.386 \cdot kl \cdot ({(\frac{Pr}{0.861 + Pr})}^{0.25}) \cdot {(Ra c)}^{0.25}

k_Eff - Effective Thermal Conductivity?kl - Thermal Conductivity of Liquid?Pr - Prandtl Number?Ra_c - Rayleigh Number Based on Turbulance?

Effective thermal conductivity given Prandtl number Example

With values

With units

Only example

Here is how the Effective thermal conductivity given Prandtl number equation looks like with Values.

Here is how the Effective thermal conductivity given Prandtl number equation looks like with Units.

Here is how the Effective thermal conductivity given Prandtl number equation looks like.

0.2683 = 0.386 \cdot 1.01 \cdot ({(\frac{0.7}{0.861 + 0.7})}^{0.25}) \cdot {(0.5)}^{0.25}

0.2683W/(m*K) = 0.386 \cdot 1.01W/(m*K) \cdot ({(\frac{0.7}{0.861 + 0.7})}^{0.25}) \cdot {(0.5)}^{0.25}

0.2683 = 0.386 \cdot 1.01 \cdot ({(\frac{0.7}{0.861 + 0.7})}^{0.25}) \cdot {(0.5)}^{0.25}

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 Effective thermal conductivity given Prandtl number

Effective thermal conductivity given Prandtl number Solution

Follow our step by step solution on how to calculate Effective thermal conductivity given Prandtl number?

FIRST Step Consider the formula

k Eff = 0.386 \cdot kl \cdot ({(\frac{Pr}{0.861 + Pr})}^{0.25}) \cdot {(Ra c)}^{0.25}

Next Step Substitute values of Variables

∴

k Eff = 0.386 \cdot 1.01W/(m*K) \cdot ({(\frac{0.7}{0.861 + 0.7})}^{0.25}) \cdot {(0.5)}^{0.25}

Next Step Prepare to Evaluate

∴

k Eff = 0.386 \cdot 1.01 \cdot ({(\frac{0.7}{0.861 + 0.7})}^{0.25}) \cdot {(0.5)}^{0.25}

Next Step Evaluate

∴

k Eff = 0.268271763280796W/(m*K)

LAST Step Rounding Answer

∴

k Eff = 0.2683W/(m*K)

Effective thermal conductivity given Prandtl number Formula Elements

Variables

Effective Thermal Conductivity

Effective Thermal Conductivity is the rate of heat transfer through a unit thickness of the material per unit area per unit temperature difference.

Symbol: k_Eff

Measurement: Thermal ConductivityUnit: W/(m*K)

Note: Value can be positive or negative.

Formulas to find Effective Thermal Conductivity

Thermal Conductivity of Liquid

Thermal conductivity of liquid is defined as the transport of energy due to random molecular motion across a temperature gradient.

Symbol: kl

Measurement: Thermal ConductivityUnit: W/(m*K)

Note: Value can be positive or negative.

Formulas to find Thermal Conductivity of Liquid

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

Rayleigh Number Based on Turbulance

Rayleigh Number Based on Turbulance is a dimensionless parameter that is a measure of the instability of a layer of fluid due to differences of temperature and density at the top and bottom.

Symbol: Ra_c

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Rayleigh Number Based on Turbulance

Other Formulas to find Effective Thermal Conductivity

Go Effective thermal conductivity for annular space between concentric cylinders

k Eff = e' \cdot (\frac{\ln (\frac{D o}{D i})}{2 \cdot π} \cdot (t i - t o))

Go Effective thermal conductivity for space between two concentric spheres

k Eff = \frac{Q s}{(π \cdot (t i - t o)) \cdot (\frac{D o \cdot D i}{L})}

Go Effective thermal conductivity

k Eff = \frac{Q s \cdot (r 2 - r 1)}{4 \cdot π \cdot r 1 \cdot r 2 \cdot ΔT}

Go Effective Thermal Conductivity given Rayleigh Number based on Turbulence

k Eff = kl \cdot 0.74 \cdot ({(\frac{Pr}{0.861 + Pr})}^{0.25}) \cdot {Ra c}^{0.25}

Other formulas in Effective Thermal Conductivity and Heat Transfer category

Go Heat transfer per unit length for annular space between concentric cylinders

e' = (\frac{2 \cdot π \cdot k Eff}{\ln (\frac{D o}{D i})}) \cdot (t i - t o)

Go Heat transfer between concentric spheres given both diameters

Q s = (k Eff \cdot π \cdot (t i - t o)) \cdot (\frac{D o \cdot D i}{L})

Go Heat transfer between concentric spheres given both radii

Q s = \frac{4 \cdot π \cdot k Eff \cdot r 1 \cdot r 2 \cdot ΔT}{r 2 - r 1}

How to Evaluate Effective thermal conductivity given Prandtl number?

Effective thermal conductivity given Prandtl number evaluator uses Effective Thermal Conductivity = 0.386*Thermal Conductivity of Liquid*(((Prandtl Number)/(0.861+Prandtl Number))^0.25)*(Rayleigh Number Based on Turbulance)^0.25 to evaluate the Effective Thermal Conductivity, The Effective thermal conductivity given Prandtl number formula is defined as the transport of energy due to random molecular motion across a temperature gradient. Effective Thermal Conductivity is denoted by k_Eff symbol.

How to evaluate Effective thermal conductivity given Prandtl number using this online evaluator? To use this online evaluator for Effective thermal conductivity given Prandtl number, enter Thermal Conductivity of Liquid (kl), Prandtl Number (Pr) & Rayleigh Number Based on Turbulance (Ra_c) and hit the calculate button.

FAQs on Effective thermal conductivity given Prandtl number

What is the formula to find Effective thermal conductivity given Prandtl number?

The formula of Effective thermal conductivity given Prandtl number is expressed as Effective Thermal Conductivity = 0.386*Thermal Conductivity of Liquid*(((Prandtl Number)/(0.861+Prandtl Number))^0.25)*(Rayleigh Number Based on Turbulance)^0.25. Here is an example- 2.39054 = 0.386*1.01*(((0.7)/(0.861+0.7))^0.25)*(0.5)^0.25.

How to calculate Effective thermal conductivity given Prandtl number?

With Thermal Conductivity of Liquid (kl), Prandtl Number (Pr) & Rayleigh Number Based on Turbulance (Ra_c) we can find Effective thermal conductivity given Prandtl number using the formula - Effective Thermal Conductivity = 0.386*Thermal Conductivity of Liquid*(((Prandtl Number)/(0.861+Prandtl Number))^0.25)*(Rayleigh Number Based on Turbulance)^0.25.

What are the other ways to Calculate Effective Thermal Conductivity?

Here are the different ways to Calculate Effective Thermal Conductivity-

Effective Thermal Conductivity=Heat Transfer per Unit Length*((ln(Outside Diameter/Inside Diameter))/(2*pi)*(Inside Temperature-Outside Temperature))
Effective Thermal Conductivity=Heat transfer Between Concentric Spheres/((pi*(Inside Temperature-Outside Temperature))*((Outside Diameter*Inside Diameter)/Length))
Effective Thermal Conductivity=(Heat transfer Between Concentric Spheres*(Outer Radius-Inside Radius))/(4*pi*Inside Radius*Outer Radius*Temperature Difference)

Can the Effective thermal conductivity given Prandtl number be negative?

Yes, the Effective thermal conductivity given Prandtl number, measured in Thermal Conductivity can be negative.

Which unit is used to measure Effective thermal conductivity given Prandtl number?

Effective thermal conductivity given Prandtl number is usually measured using the Watt per Meter per K[W/(m*K)] for Thermal Conductivity. Kilowatt per Meter per K[W/(m*K)], Calorie (IT) per Second per Centimeter per °C[W/(m*K)], Kilocalorie (th) per Hour per Meter per °C[W/(m*K)] are the few other units in which Effective thermal conductivity given Prandtl number can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Effective thermal conductivity given Prandtl number Formula

​GoEffective thermal conductivity for annular space between concentric cylinders Formula

​GoEffective thermal conductivity for space between two concentric spheres Formula

Effective thermal conductivity given Prandtl number Example

Effective thermal conductivity given Prandtl number Solution

Effective thermal conductivity given Prandtl number Formula Elements

Other Formulas to find Effective Thermal Conductivity

Other formulas in Effective Thermal Conductivity and Heat Transfer category

How to Evaluate Effective thermal conductivity given Prandtl number?

FAQs on Effective thermal conductivity given Prandtl number

Variable Name

GoEffective thermal conductivity for annular space between concentric cylinders Formula

GoEffective thermal conductivity for space between two concentric spheres Formula