Numerical‐Analytical Investigation of Self‐Similar Regimes of Propagation of Nonstationary Convective Jets and Thermals in a Homogeneous Medium over a Point Heat Source

Abstract

An integral model of a nonstationary vertical convective jet is suggested that involves a universal equation of the propagation of the upper boundary of a convective front depending on the power of the point heat source. A class of self‐similar solutions is considered; they correspond to the heat sources whose power changes instantly and also according to the power and exponential laws. Analytical and numerical solutions of the self‐similar equations are constructed. Numerical calculations are compared with the well‐known experimental data on the profiles of the vertical velocity and temperature on the jet axis.