Abstract
In this paper, the effect of suspended particles on thermal convection in Couple-Stress fluid saturating a porous medium is considered. By applying linear stability theory and normal mode analysis method, a mathematical theorem is derived which states that the viscoelastic thermal convection at marginal state, cannot manifest as stationary convection if the thermal Rayleigh number R, the medium permeability parameter Pl, the couple-stress parameter F and suspended particles parameter B, satisfy the inequality.
Highlights
The problem of thermal convection in porous media has attracted considerable interest during the last few decades, because it has various applications in geophysics, food processing, soil sciences, ground water hydrology and nuclear reactors etc
Scanlon and Segel [4] have considered the effect of suspended particles on the onset of Beβ²nard convection and found that the critical Rayleigh number was reduced solely because the heat capacity of the pure gas was supplemented by the particles
Keeping in mind the importance in various applications mentioned above, our interest, in the present paper is to study the effect of suspended particles on thermal instability of incompressible couple-stress elastico-viscous fluid in a porous medium
Summary
The problem of thermal convection in porous media has attracted considerable interest during the last few decades, because it has various applications in geophysics, food processing, soil sciences, ground water hydrology and nuclear reactors etc. With the growing importance of non-Newtonian fluids with suspended particles in modern technology and industries, the investigations on such fluids are desirable. A mathematical theorem on the onset of Couple-Stress fluid permeated with suspended dust particles saturating a porous medium applications of couple-stress fluid is its use to the study of the mechanism of lubrication of synovial joints, which has become the object of scientific research. Kumar [13] studied stability of stratified couple-stress dusty fluid in the presence of magnetic field through porous medium whereas Rana and Sharma [14] studied hydromagnetic thermosolutal instability of compressible Waltersβ (model Bβ²) rotating fluid permeated with suspended particles in porous medium. Keeping in mind the importance in various applications mentioned above, our interest, in the present paper is to study the effect of suspended particles on thermal instability of incompressible couple-stress elastico-viscous fluid in a porous medium
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
