Grash of number

Input(s)

g: Acceleration Due to Earth (m/s2)\left(\mathrm{m} / \mathrm{s}^{2}\right)

β\beta: Volumetric Thermal Expansion Coefficient (1/K)

T1\boldsymbol{T}_{\mathbf{1}}: Surface Temperature (K)

To\boldsymbol{T}_{\boldsymbol{o}}: Bulk Temperature (K)

Io\boldsymbol{I}_{\boldsymbol{o}}: Diameter (m)(\mathrm{m})

v\mathrm{v}: Kinematic Viscosity (m2/s)\left(\mathrm{m}^{2} / \mathrm{s}\right)

Output(s)

Gr: Grash of Number (dimensionless)

Formula(s)

Gr=gβ( T1To)lo3v2\mathrm{Gr}=\frac{\mathrm{g} * \beta *\left(\mathrm{~T}_{1}-\mathrm{T}_{\mathrm{o}}\right) * \mathrm{l}_{\mathrm{o}}^{3}}{\mathrm{v}^{2}}

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 11, Page: 355.


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