Open AccessA method to solve the heat transfer problem for laminar flow of Phan-Tien-Tanner fluid in a flat channel
Author(s) -
А. И. Кадыйров,
Е. К. Вачагина
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1675/1/012005
Subject(s) - nusselt number , laminar flow , churchill–bernstein equation , heat transfer , dimensionless quantity , mechanics , reynolds number , thermodynamics , film temperature , flow (mathematics) , fluid dynamics , mathematics , mathematical analysis , materials science , physics , turbulence
The paper presents a solution to the heat transfer problem for a flow of a four-mode viscoelastic linear Phan-Tien Tanner fluid in flat channels at a constant wall temperature. A special feature of this solution is the parametric representation of dependence of an axial velocity and temperature on coordinates. To obtain a solution to the energy transfer equation, we used the method of separating variables and decomposing the sought-for function into series by parameter. For a specific liquid, the profiles of dimensionless velocity and distribution of dimensionless temperature, Nusselt numbers, and other heat transfer characteristics for various Weissenberg numbers are presented.