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Grashof Number Formula

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Grashof number approximates the ratio of the buoyancy to viscous force acting on a fluid. Check FAQs

G = \frac{F bu}{μ}

G - Grashof Number?F_bu - Buoyant Force?μ - Viscous Force?

Grashof Number Example

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Here is how the Grashof Number equation looks like with Values.

Here is how the Grashof Number equation looks like with Units.

Here is how the Grashof Number equation looks like.

1.7893 = \frac{10.8}{6.0359}

1.7893 = \frac{10.8N}{6.0359N}

1.7893 = \frac{10.8}{6.0359}

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Grashof Number Solution

Follow our step by step solution on how to calculate Grashof Number?

FIRST Step Consider the formula

G = \frac{F bu}{μ}

Next Step Substitute values of Variables

∴

G = \frac{10.8N}{6.0359N}

Next Step Prepare to Evaluate

∴

G = \frac{10.8}{6.0359}

Next Step Evaluate

∴

G = 1.78929613232044

LAST Step Rounding Answer

∴

G = 1.7893

Grashof Number Formula Elements

Variables

Grashof Number

Grashof number approximates the ratio of the buoyancy to viscous force acting on a fluid.

Symbol: G

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Grashof Number

Buoyant Force

Buoyant Force is equal to the weight of the fluid displaced by the object and is responsible for making objects float or appear lighter when immersed in a fluid.

Symbol: F_bu

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Buoyant Force

Viscous Force

Viscous Force is the force between a body and a fluid (liquid or gas) moving past it, in a direction so as to oppose the flow of the fluid past the object.

Symbol: μ

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Viscous Force

Other formulas in Dimensionless Numbers category

Go Graetz Number given System properties

Gr = \frac{D \cdot L c \cdot V c \cdot ρ \cdot c}{k \cdot L}

Go Buoyant force given grashof number

F bu = G \cdot \frac{μ^{2}}{F i}

Go Viscous force given grashofs number

μ = \sqrt{\frac{F bu \cdot F i}{G}}

Go Heat transfer by conduction given Graetz number

h co = Gr \cdot h cn

How to Evaluate Grashof Number?

Grashof Number evaluator uses Grashof Number = (Buoyant Force)/(Viscous Force) to evaluate the Grashof Number, The Grashof number is a dimensionless number in fluid dynamics that quantifies the relative significance of buoyancy forces compared to viscous forces within a fluid. It is particularly important in the study of natural convection, where fluid motion is driven by density differences due to temperature gradients rather than external forces like fans or pumps. Grashof Number is denoted by G symbol.

How to evaluate Grashof Number using this online evaluator? To use this online evaluator for Grashof Number, enter Buoyant Force (F_bu) & Viscous Force (μ) and hit the calculate button.

FAQs on Grashof Number

What is the formula to find Grashof Number?

The formula of Grashof Number is expressed as Grashof Number = (Buoyant Force)/(Viscous Force). Here is an example- 0.100935 = (10.8)/(6.035893).

How to calculate Grashof Number?

With Buoyant Force (F_bu) & Viscous Force (μ) we can find Grashof Number using the formula - Grashof Number = (Buoyant Force)/(Viscous Force).

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Grashof Number Formula

Grashof Number Example

Grashof Number Solution

Grashof Number Formula Elements

Other formulas in Dimensionless Numbers category

How to Evaluate Grashof Number?

FAQs on Grashof Number

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