| Summary: | Background. Jet streams of liquids and gases are used in various fields of technology
as effective means of controlling the processes of heat and mass transfer, for
intensifying and stabilizing various technological processes (for example, the stirring
process, the combustion process), as a means of protecting various structures
from the effects of thermal and other fields, for applying coatings, etc. Among the
practically important objects of research, we also note burners, engine nozzles, jetvortex
traces of aircraft. Jet streams are used in many branches of engineering and
technology, which makes the problem of their study urgent. The aim of this work is
to study the processes of heat and mass transfer in swirling jets.
Materials and methods. To solve the problem, the asymptotic method is used,
which involves the expansion of hydrodynamic functions (components of the velocity
vector and pressure) and temperature, satisfying the system of Navier-Stokes
equations for a viscous incompressible fluid, in series with respect to a small parameter.
The solution of the obtained in the first approximation system of partial
differential equations is sought in a self-similar form, which leads to the study of
a system of ordinary differential equations for functions depending on the selfsimilar
variable.
Results. In a first approximation, the self-similar solution to the problem of the
distribution of hydrodynamic (components of the velocity and pressure vector) and
thermal (temperature) fields in an axisymmetric tangentially swirling stream of a
viscous incompressible fluid is constructed. The material presented in the article
supplements the previously known results by calculating the thermal field in the jet.
Conclusions. Based on the obtained asymptotic differential equations and selfsimilar
solutions of these equations, the fields of velocities, pressure and temperature
are constructed in a tangentially swirling stream of a viscous incompressible
fluid. It is shown that the longitudinal and tangential (rotational) velocity components
influence the distribution of the thermal field in the jet as a first approximation.
The method for clarifying the constructed solution is indicated.
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