Consider a thermal pollution problem where a heated air with a density of
is discharged vertically with a velocity of V through a chimney (
high H and diameter D) into a horizontal crosswind at a velocity of U and an
ambient density of
. It is found that for this problem viscosity is
not important other than creating turbulence but the buoyant force
is important in determining the spread and bent of the
hot plume. Use the dimensional analysis to find the partinent dimensional
parameters that govern the phnomenon. Also interpretate the physical
significance of these parameters.