Triple Diffusive Convection in a Vertically Oscillating Oldroyd-B Liquid
The effect of linear stability analysis of triple diffusive convection in a vertically oscillating viscoelastic liquid of Oldroyd-B type is studied. The correction Rayleigh number is obtained by using perturbation method which gives prospect to control the convection. The eigenvalue is obtained by using perturbation method by adopting Venezian approach. From the study, it is observed that gravity modulation advances the onset of triple diffusive convection.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1474463Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 396
 A. J. Pearlstein, R. D. Harris and G. Terrones, “The onset of convective instability in a triply diffusive fluid layer,” J. Fluid Mech., vol. 202, pp. 443-465, 1989.
 R. A. Lopez, L. A. Romero and A. J. Pearlstein, “Effect of rigid boundaries on the onset of convective instability in a triply diffusive fluid layer,” Phys. Fluids A, vol. 2, pp. 897, 1990.
 D. Poulikakos, “Double diffusive convection in a horizontal sparcely packed porous layer,” Int. Comm. of Heat and Mass Transfer, vol. 13, pp. 587-598, 1986.
 R. Sumithra, “Exact solution of triple diffusive Marangoni-convection in a composite layer,” Int. J. Engg. Research and Tech., vol. 1, no. 5, pp. 1-13, 2012.
 S. Rionero, “Triple diffusive convection in porous media,” Acta Mech., vol. 224, pp. 447–458, 2013.
 T. Sameena, “Heat and mass transfer of triple Diffusive convection in Boussinesq-Stokes suspension using Ginzburg-Landau model,” JP J. Heat and Mass transfer, vol. 14, no. 1, pp. 131-147, 2017.
 P. M. Gresho and S. L. Sani, “The effects of gravity modulation on the stability of a heated fluid layer,” J. Fluid Mech., vol. 40, no. 4, pp. 783-806, 1970.
 P. G. Siddheshwar and S. Pranesh, “Effect of temperature/gravity modulation on the onset of magneto-convection in weak electrically conducting fluids with internal angular momentum,” J. Magnetism and Magnetic Materials, vol. 192, pp. 159-176, 1999.
 D. A. S. Rees and I. Pop, “G-jitter induced free convection near a stagnation point,” Heat and Mass Transfer, vol. 37, pp. 403-408, 2001.
 T. Sameena and S. Pranesh, “Effect of gravity modulation on the onset of Rayleigh-Bénard Convection in a weak electrically conducting couple stress fluid with saturated porous layer,” Int. J. of Engg. Research & Tech., vol. 5, no. 1, pp. 914-928, 2016.
 . G. Siddheshwar, G. N. Sekhar and G. Jayalatha, “Surface tension driven convection in viscoelastic liquids with thermo rheological effect,” Int. Comm. Heat and Mass transfer, vol. 38, no. 4, pp. 468-473, 2010.
 M. Malashetty and M. Swamy, “The onset of double diffusive convection in a viscoelastic fluid layer,” J. Non-Newtonian Fluid Mech., vol. 165, pp. 1129-1138, 2010.
 M. Narayana, S. N. Gaikwad, P. Sibanda and R. B. Malge, “Double diffusive magneto-convection in viscoelastic fluids,” Int. J. Heat and Mass Transfer, vol. 67, pp. 194–201, 2013.
 B. S. Bhadauria and P. Kiran, “Chaotic and oscillatory magneto-convection in a binary viscoelastic fluid under g-jitter,” Int. J Heat and Mass Transfer, vol. 84, pp. 610-624, 2015.
 T. Sameena and S. Pranesh, “Triple diffusive convection in Oldroyd-B liquid,” IOSR J. Math., vol. 12, no. 4, pp. 7-13, 2016.