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Special Topics & Reviews in Porous Media: An International Journal
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ELECTROHYDRODYNAMIC STABILITY OF COUPLE STRESS FLUID FLOW IN A CHANNEL OCCUPIED BY A POROUS MEDIUM

Volumen 2, Ausgabe 1, 2011, pp. 11-22
DOI: 10.1615/SpecialTopicsRevPorousMedia.v2.i1.20
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N. Rudraiah
National Research Institute for Applied Mathematics, 492/G, 7th Cross, 7th Block (West), Jayanagar, Bangalore 560 082, and UGC-DSA Centre in Fluid Mechanics, Department of Mathematics, Bangalore University, Bangalore 560 001, India
B. M. Shankar
Department of Mathematics, PES University, Bangalore 560 085, India
Chiu-On Ng
Department of Mechanical Engineering, The University of Hong Kong, Pokfulam, Hong Kong, People's Republic of China

ABSTRAKT

The linear stability of electrohydrodynamic poorly conducting couple stress viscous parallel fluid flow through a porous channel is studied in the presence of a nonuniform transverse electric field using an energy method. Supplemented with a single term Galerkin expansion. The sufficient condition for stability is obtained using the nature of the growth rate as well as sufficiently small values of the Reynolds number, Re. From this condition we show that strengthening or weakening of the stability criterion is dictated by the values of the strength of the electric field, the coefficient of couple stress fluid, and the porous parameter. In particular, it is shown that the interaction of the electric field with couple stress is more effective in stabilizing the poorly conducting couple stress fluid compared with that in an ordinary Newtonian viscous fluid.

SCHLÜSSELWÖRTER: porous medium, stability, couple stress, electrohydrodynamic, nonuniform transverse electric field
REFERENZIERT VON

  1. Shankar B. M., Kumar Jai, Shivakumara I. S., Ng Chiu-On, Stability of fluid flow in a Brinkman porous medium—A numerical study, Journal of Hydrodynamics, 26, 5, 2014. Crossref

  2. Shankar B.M., Kumar Jai, Shivakumara I.S., Stability of natural convection in a vertical couple stress fluid layer, International Journal of Heat and Mass Transfer, 78, 2014. Crossref

  3. Shankar B. M., Kumar Jai, Shivakumara I. S., Stability of natural convection in a vertical layer of Brinkman porous medium, Acta Mechanica, 228, 1, 2017. Crossref

  4. Shankar B.M., Kumar Jai, Shivakumara I.S., Stability of natural convection in a vertical dielectric couple stress fluid layer in the presence of a horizontal AC electric field, Applied Mathematical Modelling, 40, 9-10, 2016. Crossref

  5. Tripathi Dharmendra, Yadav Ashu, Anwar Bég O., Electro-osmotic flow of couple stress fluids in a micro-channel propagated by peristalsis, The European Physical Journal Plus, 132, 4, 2017. Crossref

  6. Keshri Om Prakash, Kumar Anand, Gupta Vinod K., Effect of internal heat source on magneto-stationary convection of couple stress fluid under magnetic field modulation, Chinese Journal of Physics, 57, 2019. Crossref

  7. Shankar B. M., Kumar Jai, Shivakumara I. S., Naveen Kumar S. B., MHD instability of pressure-driven flow of a non-Newtonian fluid, SN Applied Sciences, 1, 12, 2019. Crossref

  8. Asghar Zeeshan, Saeed Khan Muhammad Waris, Gondal Muhammad Asif, Ghaffari Abuzar, Channel flow of non-Newtonian fluid due to peristalsis under external electric and magnetic field, Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, 2022. Crossref

  9. El-Sayed Mohamed Fahmy, Alanzi Agaeb Mahal, Electrohydrodynamic Liquid Sheet Instability of Moving Viscoelastic Couple-Stress Dielectric Fluid Surrounded by an Inviscid Gas through Porous Medium, Fluids, 7, 7, 2022. Crossref

  10. Stanly W., Vasanthakumari R., An analysis of hall currents on couple stress fluid heated from below with magnetic field, World Journal of Engineering, 19, 5, 2022. Crossref

  11. Prasad Madasu Krishna , Sarkar Priya , A STUDY OF COUPLE STRESS FLUID PAST AN ISOTROPIC POROUS MEDIUM , Special Topics & Reviews in Porous Media: An International Journal, 13, 4, 2022. Crossref

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