Grashof Number Calculator

✖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.ⓘ Buoyant Force [F_bu]			+10% -10%
✖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.ⓘ Viscous Force [μ]			+10% -10%

✖Grashof number approximates the ratio of the buoyancy to viscous force acting on a fluid.ⓘ Grashof Number [G]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Chemical Engineering Formula PDF PDF Image

Grashof Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Grashof Number = (Buoyant Force)/(Viscous Force)
G = (F_bu)/(μ)
This formula uses 3 Variables

Variables Used

Grashof Number - Grashof number approximates the ratio of the buoyancy to viscous force acting on a fluid.
Buoyant Force - (Measured in Newton) - 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.
Viscous Force - (Measured in Newton) - 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.

STEP 1: Convert Input(s) to Base Unit

Buoyant Force: 10.8 Newton --> 10.8 Newton No Conversion Required
Viscous Force: 6.035893 Newton --> 6.035893 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G = (F_bu)/(μ) --> (10.8)/(6.035893)

Evaluating ... ...

G = 1.78929613232044

STEP 3: Convert Result to Output's Unit

1.78929613232044 --> No Conversion Required

FINAL ANSWER

1.78929613232044 ≈ 1.789296 <-- Grashof Number

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Chemical Engineering » Fluid Dynamics » Dimensionless Numbers » Grashof Number

Credits

Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has created this Calculator and 500+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< Dimensionless Numbers Calculators

Archimedes Number

LaTeX Go Archimedes Number = ([g]*Characteristic Length^(3)*Density of Fluid*(Density of Body-Density of Fluid))/(Dynamic Viscosity)^(2)

Reynolds Number

LaTeX Go Reynolds Number = (Density of Liquid*Fluid Velocity*Diameter of Pipe)/Dynamic Viscosity

Euler Number using Fluid Velocity

LaTeX Go Euler Number = Fluid Velocity/(sqrt(Change in Pressure/Density of Fluid))

Weber Number

LaTeX Go Weber Number = ((Density*(Velocity of Fluid^2)*Length)/Surface Tension)

< Graetz and Grashof Number Calculators

Graetz Number given System properties

LaTeX Go Graetz Number = (Diameter*Characteristic Length*Characteristic Speed*Mass Density*Specific Heat Capacity)/(Thermal Conductivity*Length)

Viscous force given grashofs number

LaTeX Go Viscous Force = sqrt((Buoyant Force*Inertia Force)/Grashof Number)

Buoyant force given grashof number

LaTeX Go Buoyant Force = Grashof Number*(Viscous Force^2)/Inertia Force

Grashof Number

LaTeX Go Grashof Number = (Buoyant Force)/(Viscous Force)

Grashof Number Formula

LaTeX Go

Grashof Number = (Buoyant Force)/(Viscous Force)
G = (F_bu)/(μ)

What is convection?

Convection is the process of heat transfer by the bulk movement of molecules within fluids such as gases and liquids. The initial heat transfer between the object and the fluid takes place through conduction, but the bulk heat transfer happens due to the motion of the fluid.

Convection is the process of heat transfer in fluids by the actual motion of matter.
It happens in liquids and gases.
It may be natural or forced.
It involves a bulk transfer of portions of the fluid.

How to Calculate Grashof Number?

Grashof Number calculator uses Grashof Number = (Buoyant Force)/(Viscous Force) to calculate 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 calculate Grashof Number using this online calculator? To use this online calculator for Grashof Number, enter Buoyant Force (F_bu) & Viscous Force (μ) and hit the calculate button. Here is how the Grashof Number calculation can be explained with given input values -> 0.100935 = (10.8)/(6.035893).

FAQ

What is 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 and is represented as G = (F_bu)/(μ) or Grashof Number = (Buoyant Force)/(Viscous 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 & 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.

How to calculate 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 is calculated using Grashof Number = (Buoyant Force)/(Viscous Force). To calculate Grashof Number, you need Buoyant Force (F_bu) & Viscous Force (μ). With our tool, you need to enter the respective value for Buoyant Force & Viscous Force and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search