FormulaDen.com

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

Thermal conductivity of fluid Formula

Fx Copy

LaTeX Copy

Thermal Conductivity is rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance. Check FAQs

k e = \frac{0.386 \cdot k 0}{(\frac{Pr}{{(0.861 + Pr)}^{0.25}}) \cdot {R a}^{0.25}}

k_e - Thermal Conductivity?k₀ - Reference Thermal Conductivity?Pr - Prandtl Number?R_a - Turbulence Rayleigh Number(t)?

Thermal conductivity of fluid Example

With values

With units

Only example

Here is how the Thermal conductivity of fluid equation looks like with Values.

Here is how the Thermal conductivity of fluid equation looks like with Units.

Here is how the Thermal conductivity of fluid equation looks like.

0.118 = \frac{0.386 \cdot 0.606}{(\frac{0.7}{{(0.861 + 0.7)}^{0.25}}) \cdot {100.45}^{0.25}}

0.118W/(m*K) = \frac{0.386 \cdot 0.606}{(\frac{0.7}{{(0.861 + 0.7)}^{0.25}}) \cdot {100.45}^{0.25}}

0.118 = \frac{0.386 \cdot 0.606}{(\frac{0.7}{{(0.861 + 0.7)}^{0.25}}) \cdot {100.45}^{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 Thermal conductivity of fluid

Thermal conductivity of fluid Solution

Follow our step by step solution on how to calculate Thermal conductivity of fluid?

FIRST Step Consider the formula

k e = \frac{0.386 \cdot k 0}{(\frac{Pr}{{(0.861 + Pr)}^{0.25}}) \cdot {R a}^{0.25}}

Next Step Substitute values of Variables

∴

k e = \frac{0.386 \cdot 0.606}{(\frac{0.7}{{(0.861 + 0.7)}^{0.25}}) \cdot {100.45}^{0.25}}

Next Step Prepare to Evaluate

∴

k e = \frac{0.386 \cdot 0.606}{(\frac{0.7}{{(0.861 + 0.7)}^{0.25}}) \cdot {100.45}^{0.25}}

Next Step Evaluate

∴

k e = 0.117984546975929W/(m*K)

LAST Step Rounding Answer

∴

k e = 0.118W/(m*K)

Thermal conductivity of fluid Formula Elements

Variables

Thermal Conductivity

Symbol: k_e

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

Note: Value can be positive or negative.

Formulas to find Thermal Conductivity

Reference Thermal Conductivity

Reference Thermal Conductivity is the reference thermal conductivity of the fluid you are working with.

Symbol: k₀

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Reference Thermal Conductivity

Prandtl Number

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

Turbulence Rayleigh Number(t)

Turbulence Rayleigh Number(t) 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: R_a

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Turbulence Rayleigh Number(t)

Other formulas in Convective Flow Over Cylinder and Sphere category

Go Boundary layer thickness on vertical surfaces

d x = 3.93 \cdot x \cdot {Pr}^{- 0.5} \cdot {(0.952 + Pr)}^{0.25} \cdot {Gr x}^{- 0.25}

Go Convective mass transfer coefficient at distance X from leading edge

k L = \frac{2 \cdot k e}{d x}

Go Inside surface temperature for annular space between concentric cylinders

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

Go Outside surface temperature for annular space between concentric cylinders

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

How to Evaluate Thermal conductivity of fluid?

Thermal conductivity of fluid evaluator uses Thermal Conductivity = (0.386*Reference Thermal Conductivity)/(((Prandtl Number)/(0.861+Prandtl Number)^0.25)*Turbulence Rayleigh Number(t)^0.25) to evaluate the Thermal Conductivity, The Thermal conductivity of fluid formula is defined as the transport of energy due to random molecular motion across a temperature gradient. Thermal Conductivity is denoted by k_e symbol.

How to evaluate Thermal conductivity of fluid using this online evaluator? To use this online evaluator for Thermal conductivity of fluid, enter Reference Thermal Conductivity (k₀), Prandtl Number (Pr) & Turbulence Rayleigh Number(t) (R_a) and hit the calculate button.

FAQs on Thermal conductivity of fluid

What is the formula to find Thermal conductivity of fluid?

The formula of Thermal conductivity of fluid is expressed as Thermal Conductivity = (0.386*Reference Thermal Conductivity)/(((Prandtl Number)/(0.861+Prandtl Number)^0.25)*Turbulence Rayleigh Number(t)^0.25). Here is an example- 0.117985 = (0.386*0.606)/(((0.7)/(0.861+0.7)^0.25)*100.45^0.25).

How to calculate Thermal conductivity of fluid?

With Reference Thermal Conductivity (k₀), Prandtl Number (Pr) & Turbulence Rayleigh Number(t) (R_a) we can find Thermal conductivity of fluid using the formula - Thermal Conductivity = (0.386*Reference Thermal Conductivity)/(((Prandtl Number)/(0.861+Prandtl Number)^0.25)*Turbulence Rayleigh Number(t)^0.25).

Can the Thermal conductivity of fluid be negative?

Yes, the Thermal conductivity of fluid, measured in Thermal Conductivity can be negative.

Which unit is used to measure Thermal conductivity of fluid?

Thermal conductivity of fluid 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 Thermal conductivity of fluid can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Thermal conductivity of fluid Formula

Thermal conductivity of fluid Example

Thermal conductivity of fluid Solution

Thermal conductivity of fluid Formula Elements

Other formulas in Convective Flow Over Cylinder and Sphere category

How to Evaluate Thermal conductivity of fluid?

FAQs on Thermal conductivity of fluid

Variable Name