Open Access

GLOBAL STABILITY FOR THERMAL CONVECTION IN A COUPLE-STRESS FLUID WITH TEMPERATURE AND PRESSURE DEPENDENT VISCOSITY


Cite

[1] REYNOLDS O., Phil. Trans. Roy. Soc. Lond., 1895, A 186, 123.10.1098/rsta.1895.0004Search in Google Scholar

[2] ORR W. McF., Proc. Roy. Irish. Acad., 1907, A 2, 9.Search in Google Scholar

[3] SERRIN J., Arch. Ration. Mech. Analysis, 1959, 3, 1.10.1007/BF00284180Search in Google Scholar

[4] JOSEPH D.D., Arch. Ration. Mech. Analysis, 1965, 20, 59.10.1007/BF00250190Search in Google Scholar

[5] JOSEPH D.D., Arch. Ration. Mech. Analysis, 1966, 22, 163.10.1007/BF00266474Search in Google Scholar

[6] JOSEPH D.D., Stability of Fluid Motions, Springer Verlag, New York, 1976.10.1007/978-3-642-80994-1Search in Google Scholar

[7] RIONERO S., Ann. Mat. Pur. Appl., 1968, 78, 339.10.1007/BF02415121Search in Google Scholar

[8] GALDI G.P., Arch. Ration. Mech. Analysis, 1985, 87, 167.10.1007/BF00280699Search in Google Scholar

[9] GALDI G.P., STRAUGHAN B., Proc. Roy. Soc. Lond., 1985, A 402, 257.10.1098/rspa.1985.0118Search in Google Scholar

[10] GALDI G.P., PADULA M., Arch. Ration. Mech. Analysis, 1990, 110, 187.10.1007/BF00375129Search in Google Scholar

[11] STRAUGHAN B., The Energy Method, Stability, and Nonlinear Convection, Springer Verlag, New York, 2004.10.1007/978-0-387-21740-6Search in Google Scholar

[12] RIONERO S., MULONE G., Arch. Ration. Mech. Analysis, 1988, 103, 347.10.1007/BF00251445Search in Google Scholar

[13] MULONE G., RIONERO S., J. Math. Anal. Appl., 1989, 144, 109.10.1016/0022-247X(89)90362-4Search in Google Scholar

[14] QIN Y., KALONI P.N., Q. J. Appl. Math., 1995, 53, 129.10.1090/qam/1315452Search in Google Scholar

[15] GUO J., QIN Y., KALONI P.N., Int. J. Engg. Sci., 1994, 32, 1207.Search in Google Scholar

[16] GUO J., KALON P.N., J. Math. Analysis Appl., 1995, 190, 373.10.1006/jmaa.1995.1082Search in Google Scholar

[17] STRAUGHAN B., WALKER D.W., J. Comput. Phys., 1996, 127, 128.10.1006/jcph.1996.0163Search in Google Scholar

[18] KALONI P.N., QIAO Z., Int. J. Heat Mass Transfer, 1997, 40, 1611.Search in Google Scholar

[19] KALONI P.N., QIAO Z., Int. J. Engg. Sci., 1997, 35, 299.10.1016/S0020-7225(96)00111-5Search in Google Scholar

[20] KALONI P.N., QIAO Z., Int. J. Heat Mass Transfer, 2001, 44, 1585.Search in Google Scholar

[21] STRAUGHAN B., Explosive Instabilities in Mechanics, Springer, Berlin, Germany, 1998.10.1007/978-3-642-58807-5Search in Google Scholar

[22] PAYNE L.E., STRAUGHAN B., Stud. Appl. Math., 2000, 105, 59.Search in Google Scholar

[23] STRAUGHAN B., Roy. Soc. Lond., 2001, A 457, 87.10.1098/rspa.2000.0657Search in Google Scholar

[24] SUNIL, MAHAJAN A., Proc. Roy. Soc. Lond., 2008, A 464, 83.10.1098/rspa.2007.1906Search in Google Scholar

[25] SUNIL, MAHAJAN A., Appl. Math. Comput., 2008, 204, 299.10.1016/j.amc.2008.06.043Search in Google Scholar

[26] SUNIL, MAHAJAN A., Z. Naturforsch., 2008, A 63a, 797.10.1515/zna-2008-1207Search in Google Scholar

[27] SUNIL, MAHAJAN A., J. Geophys. Engg., 2008, 5 (3), 311.10.1088/1742-2132/5/3/007Search in Google Scholar

[28] SUNIL, MAHAJAN A., Trans. Porous Media, 2009, 76, 327.10.1007/s11242-008-9249-1Search in Google Scholar

[29] SUNIL, MAHAJAN A., ZAMP, 2009, 60, 344.10.1007/s00033-008-7133-zSearch in Google Scholar

[30] SUNIL, DEVI R., MAHAJAN A., Int. Commun. Heat Mass Transfer, 2011, 38, 938.10.1016/j.icheatmasstransfer.2011.03.030Search in Google Scholar

[31] STOKES V.K., Phys. Fluids, 1966, 9, 1709.Search in Google Scholar

[32] STOKES G.G., Trans. Camb. Phil. Soc., 1845, 8, 287.Search in Google Scholar

[33] BARUS C., Am. J. Sci., 1893, 45, 87.10.2475/ajs.s3-45.266.87Search in Google Scholar

[34] ANDRADE E.C., Nature, 1930, 125, 309.10.1038/125309b0Search in Google Scholar

[35] LAUN H.M., Rheol. Acta, 2003, 42, 295.10.1007/s00397-002-0291-6Search in Google Scholar

[36] BAIR S., KOTTKE P., Tribolory Trans., 2003, 46, 289.10.1080/10402000308982628Search in Google Scholar

[37] MARTIN-ALFONSO M.J., MARTINEZ-BOZA F.J., PARTAL P., GALLEGOS C., Rheol. Acta, 2006, 45, 357.10.1007/s00397-005-0051-5Search in Google Scholar

[38] MARTIN-ALFONSO M.J., MARTINEZ-BOZA F.J., NAVARRO F.J., FERNANDEZ M., GALLEGOS C., Fuel, 2007, 86, 227.10.1016/j.fuel.2006.05.006Search in Google Scholar

[39] RAMANAIAH G., WEAR, 1979, 52, 27.10.1016/0043-1648(79)90193-5Search in Google Scholar

[40] GUPTA R.S., SHARMA L.G., WEAR, 1988, 48, 257.10.1016/0043-1648(88)90117-2Search in Google Scholar

[41] SHEHAWEY E.F.E., MEKHEIMER K.S., J. Phys. D. appl. Phys., 1994, 27, 1163.Search in Google Scholar

[42] DAS N.C., STLE Trib. Trans., 1997, 40, 353.10.1080/10402009708983665Search in Google Scholar

[43] DAS N.C., Tribology Int., 1998, 31, 393.10.1016/S0301-679X(98)00050-4Search in Google Scholar

[44] ABDALLAH A.E., LOTFI H.G., Tribology Int., 2001, 34, 107.10.1016/S0301-679X(00)00145-6Search in Google Scholar

[45] HSU C.H., LIN J.R. CHIANG H.L., Indus. Lub. Tribology, 2003, 55, 233.10.1108/00368790310488896Search in Google Scholar

[46] LAHMAR M., Proc. Instn. Mech. Engrs., Part J: J. Eng. Tribology, 2005, 219, 145.Search in Google Scholar

[47] RAJAGOPAL K.R., SACCOMANDI G., VERGORI L., Nonlinear Anal. Real Word Appl., 2009, 10 (2), 1139.10.1016/j.nonrwa.2007.12.003Search in Google Scholar

[48] RAJAGOPAL K.R., SACCOMANDI G., VERGORI L., ZAMP, 2009, 60, 739.10.1007/s00033-008-8062-6Search in Google Scholar

[49] KLOEDEN P., WELL R., Proc. Roy. Soci. Lond., 1983, A 390, 293.10.1098/rspa.1983.0133Search in Google Scholar

[50] TEMAM R., Appl. Math. Sci., 68, Springer-Verlag, New York, Berlin, Heidelberg, 1997.Search in Google Scholar

[51] RIONERO S., Annali di Matematica Pura ed Applicata, 1968, 78, 339.10.1007/BF02415121Search in Google Scholar

[52] CHANDRASEKHAR S., Hydrodynamic and Hydromagnetic Stability, Dover, New York, 1981. Search in Google Scholar

ISSN:
0137-6365
Language:
English
Publication timeframe:
4 times per year
Journal Subjects:
Geosciences, other, Materials Sciences, Composites, Porous Materials, Physics, Mechanics and Fluid Dynamics