  We provide an ab-initio scaling analysis for liquid film thickness and
Nusselt number of a steady laminar jet impacting a rotating heated plate. The
limiting scaling regimes incorporating the evaporative effects along the
liquid-vapor interface have been probed. The dependence of liquid film
thickness and Nusselt number on Reynolds, Rossby, and Prandtl number have been
unearthed using scaling analysis of the integral and differential form of the
continuity, Navier-Stokes and energy equation in a cylindrical coordinate
system. Boundary layer analysis has been used to discover a critical length
that plays a significant role in understanding the effect of evaporation on
hydrodynamic, thermal boundary layer thicknesses, and subsequently Nusselt
number. The evaporative effects on liquid film thickness become increasingly
important after a certain critical radius. The scaling laws derived were
compared with existing experimental data available in the literature, and the
trends predicted were consistent.
