Have a personal or library account? Click to login
Global Stability For Double-Diffusive Convection In A Couple-Stress Fluid Saturating A Porous Medium Cover

Global Stability For Double-Diffusive Convection In A Couple-Stress Fluid Saturating A Porous Medium

By: Shalu Choudhary and  Sunil  
Open Access
|Apr 2019

References

  1. Joseph, D.D. (1976). Stability of Fluid Motions Vols. I-II, Springer, Berlin.
  2. Orr, W. McF. (1907). Stability or instability of the steady motions of a perfect liquid. Proceedings of the Royal Irish Academy A 37 9.
  3. Serrin, J. (1959). On the stability of viscous fluid motions. Archive for Rational Mechanics and Analysis 3, 1.
  4. Joseph, D.D. (1965). On the stability of the Boussinesq equations. Archive for Rational Mechanics and Analysis 20, 59.
  5. Joseph, D.D. (1966). Nonlinear stability of the Boussinesq equations by the method of energy. Archive for Rational Mechanics and Analysis 22, 163.
  6. Galdi, G.P., Padula, M. (1990). A new approach to energy theory in the stability of fluid motion. Archive for Rational Mechanics and Analysis 110, 187.
  7. Straughan, B., Explosive Instabilities in Mechanics, Springer, Berlin, 1998.
  8. Straughan, B. (2004). The Energy Method, Stability, and Nonlinear Convection Springer-Verlag, New York.
  9. Straughan, B. (2005). A sharp nonlinear stability threshold in rotating porous convection. Proceedings of the Royal Society of London Series A 457, 87.
  10. Kaloni, P.N., Qiao, Z. (1997). Non-linear stability of convection in a porous medium with inclined temperature gradient. International Journal of Heat and Mass Transfer 40, 1611.
  11. Kaloni, P.N., Qiao, Z. (1997). Nonlinear convection with inclined temperature gradient and horizontal mass flow. International Journal of Engineering Science 35, 299.
  12. Kaloni, P.N., Qiao Z. (2001). Non-linear convection in a porous medium with inclined temperature gradient and variable gravity effects. International Journal of Heat and Mass Transfer 44, 1585.
  13. Guo, J., Kaloni, P.N. (1995). Nonlinear stability problem of a rotating doubly diffusive porous layer. Journal of Mathematical Analysis and Applications 190, 373.
  14. Guo, J., Qin, Y., Kaloni, P.N. (1994). Non-linear stability problem of a rotating doubly diffusive fluid layer. International Journal of Engineering Science 32, 1207.
  15. Payne, L.E., Straughan, B. (2000). Unconditional nonlinear stability in temperature – dependent viscosity flow in a porous medium. Studies in Applied Mathematics 105, 59.
  16. Stokes, V.K. (1966). Couple stresses in fluids. The Physics of Fluids 9, 1709.
  17. Ramanaiah, G., Sarkar, P. (1979). Slider bearings lubricated by fluids with couple stress. Wear 52, 27.
  18. Sharma R. C., Thakur K. D. (2000). On couple-stress fluid heated from below in porous medium in hydromagnetics. Czechoslovak Journal of Physics 50, 753.
  19. Sharma R. C., Sunil, Pal M. (2000). On couple-stress fluid heated from below in porous medium in presence of rotation. Applied Mechanical Engineering 5(4), 883.
  20. Sunil, Mahajan A. (2008a). A nonlinear stability analysis for magnetized ferrofluid heated from below. Proceedings of the Royal Society A 464, 83.
  21. Sunil, Mahajan A. (2008b). A nonlinear stability analysis for rotating magnetized ferrofluid heated from below. Applied Mathematics and Computation 204, 299.
  22. Sunil, Mahajan A. (2008c). A nonlinear stability analysis of a double-diffusive magnetized ferrofluid. Zeitschrift für Naturforschung 63a 797.
  23. Sunil, Mahajan A. (2008d). A nonlinear stability analysis in a double-diffusive magnetized ferrofluid layer saturating a porous medium. Journal of Geophysics and Engineering 5(3), 311.
  24. Sunil, Choudhary S., Bharti P. (2013). Global stability for thermal convection in a couple-stress fluid with temperature and pressure dependent viscosity. Studia Geotechnica et Mechanica 35(3), 85.
  25. Sunil, Choudhary S., Bharti P. (2012). Global stability for thermal convection in a couple-stress fluid saturating a porous medium with temperature and pressure dependent-dependent viscosity. International Journal of Applied Mechanics and Engineering 17(2), 583.
  26. Hsu C. H., Lin J. R., Chiang H.L. (2003). Combined effects of couple stresses and surface roughness on the lubrication of short journal bearings. Industrial Lubrication and Tribology 55, 233.
  27. Lahmar, M. (2005). Elastohydrodynamic analysis of double-layered journal bearings lubricated with couple-stress fluids. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology 219, 145.
  28. Nield, D.A., Bejan A. (2006). Convection in Porous Media Springer, New York.
  29. Veronis, G. (1968). Effect of a stabilizing gradient of solute on thermal convection. Journal of Fluid Mechanics 34, 315.
  30. Banies, P.G., Gill A. E. (1969). On thermohaline convection with linear gradients. Journal of Fluid Mechanics 37, 289.
  31. Joseph, D.D. (1970). Global stability of the conduction-diffusion solution. Archive for Rational Mechanics and Analysis 36, 285.
  32. Griffiths, R.W. (1981). Layered double-diffusive convection in porous media. Journal of Fluid Mechanics 102, 221.
  33. Sunil, Sharma, D., Sharma, R.C. (2004). Effect of rotation on ferromagnetic fluid heated and soluted from below saturating a porous medium. Journal of Geophysics and Engineering 1, 116.
  34. Sunil, Sharma, A., Sharma, R.C. (2006). Effect of dust particles on ferrofluid heated and soluted from below. International Journal of Thermal Sciences 45, 347.
  35. Sunil, Sharma, A., Bharti, P.K., Shandil, R.G. (2007). Linear stability of double-diffusive convection in a micropolar ferromagnetic fluid saturating a porous medium. International Journal of Mechanical Sciences 49, 1047.
  36. Sunil, Sharma, P., Mahajan, A. (2009). A nonlinear stability analysis of a rotating double-diffusive magnetized ferrofluid saturating a porous medium. Heat Transfer Research 40, 351.
  37. Sunil, Sharma, P., Mahajan, A. (2010). Onset of Darcy– Brinkman double-diffusive convection in a magnetized ferrofluid layer using a thermal non-equilibrium model: a nonlinear stability analysis. Journal of Geophysics and Engineering 7, 417.
  38. Mahajan, A., Nandal, R. (2017). On the stability of penetrative convection in a couple-stress fluid. International Journal of Applied and Computational Mathematics 3(4), 3745-3758.
  39. Nandal, R., Mahajan, A. (2018). Penetrative convection in couple-stress fluid via internal heat source/sink with the boundary effects. Journal of Non-Newtonian Fluid Mechanics 260, 133-141.
  40. Qin, Y., Kaloni, P.N. (1995). Nonlinear stability problem of a rotating porous layer. Quarterly of Applied Mathematics 53, 129.
  41. Finlayson, B.A. (1970). Convective instability of ferromagnetic fluids. Journal of Fluid Mechanics 40, 753.
  42. Chandrasekhar, S. (1981). Hydrodynamic and Hydromagnetic Stability Dover, New York.
DOI: https://doi.org/10.2478/sgem-2018-0044 | Journal eISSN: 2083-831X | Journal ISSN: 0137-6365
Language: English
Page range: 13 - 20
Submitted on: Jul 6, 2018
|
Accepted on: Dec 3, 2018
|
Published on: Apr 8, 2019
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2019 Shalu Choudhary, Sunil, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.