On oscillatory convection with the Cattaneo-Christov hyperbolic heat-flow model

Proceedings. Mathematical, Physical, and Engineering Sciences
J J Bissell

Abstract

Adoption of the hyperbolic Cattaneo-Christov heat-flow model in place of the more usual parabolic Fourier law is shown to raise the possibility of oscillatory convection in the classic Bénard problem of a Boussinesq fluid heated from below. By comparing the critical Rayleigh numbers for stationary and oscillatory convection, Rc and RS respectively, oscillatory convection is found to represent the preferred form of instability whenever the Cattaneo number C exceeds a threshold value CT≥8/27π(2)≈0.03. In the case of free boundaries, analytical approaches permit direct treatment of the role played by the Prandtl number [Formula: see text], which-in contrast to the classical stationary scenario-can impact on oscillatory modes significantly owing to the non-zero frequency of convection. Numerical investigation indicates that the behaviour found analytically for free boundaries applies in a qualitatively similar fashion for fixed boundaries, while the threshold Cattaneo number CT is computed as a function of [Formula: see text] for both boundary regimes.

References

May 21, 2005·Physical Review Letters·C I Christov, P M Jordan
Feb 26, 2008·Physics in Medicine and Biology·Juan A López MolinaEnrique J Berjano
Mar 10, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·O V GendelmanA V Savin
Jul 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J J Sánchez-ÁlvarezF H Busse
Sep 13, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Stuart Bartlett, Seth Bullock
Sep 27, 2014·Physical Review Letters·Robert E Ecke, Joseph J Niemela
Oct 15, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Arnab BasakKrishna Kumar

❮ Previous
Next ❯

Citations

Dec 14, 2016·Proceedings. Mathematical, Physical, and Engineering Sciences·J J Bissell
Oct 20, 2020·Proceedings. Mathematical, Physical, and Engineering Sciences·I A EltayebM R E Proctor

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Y HuG Ahlers
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
José M Ortiz de Zárate, Jan V Sengers
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
A DasK Kumar
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
K Nitschke
© 2021 Meta ULC. All rights reserved