TY - JOUR
ID - 17871
TI - Exact Solutions for Isobaric Inhomogeneous Couette Flows of a Vertically Swirling Fluid
JO - Journal of Applied and Computational Mechanics
JA - JACM
LA - en
SN -
AU - Ershkov, Sergey
AU - Prosviryakov, Evgenii
AU - Leshchenko, Dmytro
AD - Department of Scientific Researches, Plekhanov Russian University of Economics, 36 Stremyanny lane, Moscow, 117997, Russia
AD - Academic Department of Information Technologies and Control Systems, Ural Federal University, 19 Mira st., Ekaterinburg, 620049, Russia
AD - Department of Theoretical Mechanics, Odessa State Academy of Civil Engineering and Architecture, 4 Didrikhson st., Odessa, 65029, Ukraine
Y1 - 2023
PY - 2023
VL - 9
IS - 2
SP - 521
EP - 528
KW - exact solution
KW - isobaric flow
KW - Vorticity
KW - counterflow
KW - Stagnation point
DO - 10.22055/jacm.2022.41371.3744
N2 - The paper generalizes the partial class of exact solutions to the Navier–Stokes equations. The proposed exact solution describes an inhomogeneous three-dimensional shear flow in a layer of a viscous incompressible fluid. The solution is studied for the case of the motion of a steady-state isobaric fluid. One of the longitudinal velocity components is represented by an arbitrary-degree polynomial. The other longitudinal velocity vector component is described by the Couette profile. For a particular case (the quadratic dependence of the velocity field on two coordinates), profiles of the obtained exact solution are constructed, which illustrate the existence of counterflows in the fluid layer. The components of the vorticity vector and the tangential stresses are analyzed for this exact solution.
UR - https://jacm.scu.ac.ir/article_17871.html
L1 - https://jacm.scu.ac.ir/article_17871_db287b30917a11e57164e12933503154.pdf
ER -