Czasopismo
2008
|
Vol. 13, no 3
|
753-780
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
The thermal instability in a layer of dilute polymeric liquid when boundaries are subjected to imposed time - periodic boundary temperatures (ITBT) is investigated. The critical Rayleigh and wave numbers for small amplitudes of ITBT are obtained for synchronous and asynchronous cases by following the Venezian approach. For small frequency modulation the Floquet theory adopted by Rosenblat and Herbert is employed and the periodicity and amplitude criterion is determined for thermal stability. The qualitative effects of various governing parameters on convective system are discussed. The problem has applications in solidification process of polymeric solutions and melts.
Rocznik
Tom
Strony
753-780
Opis fizyczny
Bibliogr. 15 poz., tab., wykr.
Twórcy
autor
autor
- Department of Mathematics Bangalore University Bangalore 560 001, pgsiddheshwar@hotmail.com
Bibliografia
- Chandrasekhar S. (1961): Hydrodynamic and Hydromagnetic Stability. - Oxford Univ. Press, London.
- Dunn and Rajagopal K.R. (1995): Fluids of differential type, critical review and thermodynamic analysis. - Int. J. of Engg. Sci, vol.33, pp.689.
- Eltayeb L.A. (1977): Non-linear thermal convection in an elastic viscous layer heated from below. - Proc. Roy. Soc. London, A356, pp.161-176.
- Khayat E. Roger (1995): Nonlinear overstability in thermal convection of viscoelastic fluids. - J. Non-Newtonian Fluid Mech., vol.58, pp.311-356.
- Park H.M. and Lee H.S. (1995): Non-linear hydromagnetic stability of viscoelastic liquids heated from below. - J. non-Newt. Fluid Mech., vol.60, pp.1-34.
- Pradeep G. Siddheshwar and Srikrishna C.V. (2001): Rayleigh - Benard convection in a visco elastic fluid - filled high porosity medium with non-uniform temperature gradient. - Int. J. Math. Math. Sci., vol.25, pp.609-619.
- Pradeep G. Siddheshwar and Srikrishna C.V. (2002): Unsteady non-linear convection in second - order fluid. - Int. J. non-linear Mech, vol.37, pp.321-330.
- Rajagopal K.R., Ruzicka M. and Srinivas A.R. (1996): On Oberbeck - Boussinesq approximation. - Math, Model and Methods in Applied Sci., vol.6, pp.1157-1167.
- Rosenblat S. and Herbert H.M. (1970): Low frequency modulation of thermal stability. - J. Fluid Mech., vol.43, pp.385.
- Sharma R.C. and Sharma Y.D. (1990): Thermal instability in a Maxwellian visco elastic fluid in a porous medium, - J. Maths. Phy. Sci., vol.24, No.2, pp.115-123.
- Sharma R.C. and Pradeep Kumar (1996): Thermal instability of an Oldroydian viscoelastic fluid in a porous medium, Polish Ac. Sci., vol.1, pp.99-107.
- Srikrishna C.V. (2001): Effects of inertial acceleration on the onset of convection in Second - order fluid saturated porous medium. - Int. J. Eng. Sci., vol.39, No.5, pp.599-609.
- Venezian G.I. (1969): Effect of modulation on the onset of thermal convection. - J. Fluid Mech., vol.35, pp.243-254.
- Vest C.M. and Arpaci V.S. (1969): Overstability of a viscoelastic fluid layer heated from below. - J Fluid Mech., vol.36, pp.613-623.
- Yih C.S. and Li C.H. (1972): Instability of unsteady flows or configuration-2 convective instability. - J. Fluid Mech., vol.54, pp.143-172.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0037-0031