Next Article in Journal
Numerical Study of a 3D Eulerian Monolithic Formulation for Incompressible Fluid-Structures Systems
Next Article in Special Issue
Interaction of the Longwave and Finite-Wavelength Instability Modes of Convection in a Horizontal Fluid Layer Confined between Two Fluid-Saturated Porous Layers
Previous Article in Journal / Special Issue
Dynamics of a Highly Viscous Circular Blob in Homogeneous Porous Media
Article Menu

Export Article

Open AccessArticle
Fluids 2017, 2(2), 33; doi:10.3390/fluids2020033

Convective to Absolute Instability Transition in a Horizontal Porous Channel with Open Upper Boundary

Department of Industrial Engineering, Alma Mater Studiorum Università di Bologna, Viale Risorgimento 2, 40136 Bologna, Italy
*
Author to whom correspondence should be addressed.
Academic Editor: Mehrdad Massoudi
Received: 28 April 2017 / Revised: 9 June 2017 / Accepted: 10 June 2017 / Published: 14 June 2017
(This article belongs to the Special Issue Convective Instability in Porous Media)
View Full-Text   |   Download PDF [5200 KB, uploaded 14 June 2017]   |  

Abstract

A linear stability analysis of the parallel uniform flow in a horizontal channel with open upper boundary is carried out. The lower boundary is considered as an impermeable isothermal wall, while the open upper boundary is subject to a uniform heat flux and it is exposed to an external horizontal fluid stream driving the flow. An eigenvalue problem is obtained for the two-dimensional transverse modes of perturbation. The study of the analytical dispersion relation leads to the conditions for the onset of convective instability as well as to the determination of the parametric threshold for the transition to absolute instability. The results are generalised to the case of three-dimensional perturbations. View Full-Text
Keywords: porous medium; Rayleigh number; absolute instability porous medium; Rayleigh number; absolute instability
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Barletta, A.; Celli, M. Convective to Absolute Instability Transition in a Horizontal Porous Channel with Open Upper Boundary. Fluids 2017, 2, 33.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Fluids EISSN 2311-5521 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top