3 papers
physics.flu-dyn2025
Fundamental evaluation of the pressure gradient for lubrication flows in varying channels: Application to inertial Newtonian flow in a linear channel
Panagiotis Sialmas, Kostas Housiadas
We derive general analytical expressions for the pressure gradient of a viscoelastic Oldroyd-B fluid in a symmetric channel with slowly varying geometry. Using classic lubrication…
physics.flu-dyn2025
An exact solution of the lubrication equations for the Oldroyd-B model in a hyperbolic channel
Kostas D. Housiadas
An exact similarity solution of the lubrication equations for the steady flow of a viscoelastic Oldroyd-B fluid in a contracting and symmetric hyperbolic channel is derived. The so…
physics.flu-dyn2024
Annular Newtonian Poiseuille flow with pressure-dependent wall slip
Kostas D. Housiadas, Evgenios Gryparis, Georgios C. Georgiou
We investigate the effect of pressure-dependent wall slip on the steady Newtonian annular Poiseuille flow employing Navier's slip law with a slip parameter that varies exponentiall…