TY  - JOUR
AB  - Purpose The paper aims to theoretically study the mathematical model of a steady flow of a heat-conductive incompressible viscous fluid through a spatially periodic plane profile cascade.Design/methodology/approach Reduction of the infinite periodical problem to one period. Leray-Schauder fixed point principle was used.Findings This study proves the existence of a weak solution for arbitrarily large given data (i.e. the inflow velocity and the acting specific body force).Practical implications The author proposed a special boundary condition on the outflow of the domain not only for the velocity and pressure but also for the temperature.Originality/value To the author’s knowledge, the problem has not been studied earlier. More detailed overview is given in the paper in the first part.
VL  - 27
IS  - 7
SN  - 0961-5539
DO  - 10.1108/HFF-03-2016-0104
UR  - https://doi.org/10.1108/HFF-03-2016-0104
AU  - Neustupa Tomáš
PY  - 2017
Y1  - 2017/01/01
TI  - The weak solvability of the steady problem modelling the flow of a viscous incompressible heat-conductive fluid through the profile cascade
T2  - International Journal of Numerical Methods for Heat & Fluid Flow
PB  - Emerald Publishing Limited
SP  - 1451
EP  - 1466
Y2  - 2024/04/24
ER  -