The Heated Laminar Vertical Jet in a Liquid with Power-law Temperature Dependence of Density

TL;DR

This paper presents an analytical solution for a heated laminar vertical jet in a liquid where density varies with temperature following a power-law, considering specific Prandtl numbers and source types.

Contribution

It introduces a new analytical solution for the heated vertical jet problem with power-law density dependence, expanding understanding of such flows under specific conditions.

Findings

Analytical solutions derived for certain Prandtl numbers.

Solutions applicable to point and linear source cases.

Enhanced understanding of temperature-dependent density effects in laminar jets.

Abstract

The analytical solution of heated laminar vertical jet in a liquid with power-law temperature dependence of density was obtained in the skin-layer approximation for certain values of Prandtl number. Cases of point and linear sources were considered.