Open AccessOn Hiemenz flow of Maxwell incompressible viscoelastic medium
Author(s) -
N. P. Moshkin
Publication year - 2019
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 - 10.1088/1742-6596/1268/1/012049
Subject(s) - weissenberg number , viscoelasticity , compressibility , constitutive equation , mechanics , elasticity (physics) , rheology , classical mechanics , nonlinear system , rotational symmetry , mathematics , herschel–bulkley fluid , vector field , flow (mathematics) , physics , thermodynamics , finite element method , quantum mechanics
Steady axisymmetric flow of a viscoelastic incompressible fluid near the critical point of the plane surface is considered. Model of Maxwellian fluid with upper convected derivative in the rheological constitutive law is used. Velocity and extra stresses field are discussed for various Weissenberg numbers. The subclass of solutions in a stationary case is completely described. The asymptotic solutions for small Weissenberg numbers are compared to the solutions of the complete nonlinear problem. It is found that the fluid elasticity decreases the boundary layer thickness.