Laplace transform solution of the time-dependent annular Couette flow with dynamic wall slip

The annular Couette flow has several industrial applications, particularly for the characterization of the fluid flow and deformation behavior of fluids. The inclusion of the dynamic wall slip into the flow boundary conditions seems to be necessary for an efficient continuum description of motion of...

Full description

Saved in:
Bibliographic Details
Published in:Journal of the Brazilian Society of Mechanical Sciences and Engineering 2023-11, Vol.45 (11), Article 586
Main Authors: Ali, Ahmed E. K., Ghaleb, A. F., Abou-Dina, M. S., Helal, M. A.
Format: Article
Language:English
Subjects:
Boundary conditions
Circular cylinders
Couette flow
Engineering
Fluid flow
Fluidics
Industrial applications
Laplace transforms
Mechanical Engineering
Nanofluids
Perturbation methods
Polynomials
Technical Paper
Viscous fluids
Wall slip
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:The annular Couette flow has several industrial applications, particularly for the characterization of the fluid flow and deformation behavior of fluids. The inclusion of the dynamic wall slip into the flow boundary conditions seems to be necessary for an efficient continuum description of motion of nanofluidics as it reflects the importance of fluid–structure interface related phenomena. Dynamic wall slip introduces a dissipative boundary condition and thus increases the difficulties of finding solutions to related problems. In the present work we investigate the behavior of fluid flow between two infinitely long coaxial circular cylinders, when the inner cylinder is axially moving due to sudden constant velocity, while the outer cylinder is held stationary. The boundary condition on the outer cylinder is that of dynamic wall slip, in addition to the usual Navier slip. The medium considered here is a Newtonian viscous fluid. The solution of the governing equations, initial and boundary conditions for this flow is obtained using the Laplace transform technique and inversion by Laguerre polynomials. This method may be useful, when applied in conjunction with perturbation methods, to solve nonlinear Couette flow problems involving temperature changes. Numerical results are presented and discussed.
ISSN:1678-5878
1806-3691
DOI:10.1007/s40430-023-04498-y