Obstructed gravity-driven flow down an incline

This investigation solves the problem of three-dimensional steady gravity-driven flow down an incline and around a two-dimensional cylindrical obstruction using lubrication theory. Both circular and elliptical cylindrical obstructions are considered using specific coordinates suited for the cylinder...

Full description

Saved in:
Bibliographic Details
Published in:Acta mechanica 2023-08, Vol.234 (8), p.3575-3594
Main Author: D’Alessio, S. J. D.
Format: Article
Language:English
Subjects:
Asymptotic methods
Circular cylinders
Classical and Continuum Physics
Control
Dynamical Systems
Engineering
Engineering Fluid Dynamics
Engineering Thermodynamics
Finite difference method
Flow control
Heat and Mass Transfer
Journal bearings
Obstructions
Original Paper
Reynolds number
Solid Mechanics
Theoretical and Applied Mechanics
Three dimensional flow
Vibration
Wave propagation
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This investigation solves the problem of three-dimensional steady gravity-driven flow down an incline and around a two-dimensional cylindrical obstruction using lubrication theory. Both circular and elliptical cylindrical obstructions are considered using specific coordinates suited for the cylinder geometry. A finite difference scheme is proposed, and an asymptotic solution is derived which is used in conjunction with the numerical solution procedure. Good agreement is found with previous results for the case of the circular cylinder, and new results are obtained for the case of the elliptic cylinder.
ISSN:0001-5970
1619-6937
DOI:10.1007/s00707-023-03591-6