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Content available remote Double - diffusive electro-convection in aqueous solutions of polymeric liquids
Siddheshwar P. G., Srikrishna C. V.
International Journal of Applied Mechanics and Engineering
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2011
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Vol. 16, no 2
543-555
EN
The linear stability analysis of double-diffusive electroconvection in an aqueous- solution of a polymeric liquid is performed when a uniform DC electric field is applied. The polymeric liquid is assumed to be viscoelastic and the viscoelastic correction to the momentum equation is effected by considering the Jeffry constitutive equation. The eigenvalue at the onset of convection is obtained by employing the Rayleigh-Ritz technique for isothermal and isohaline boundary combination. The results of the study reveal that the strengths of the electric field and salinity delay the onset of convection. The classical results of the effect of the viscoelastic parameter on the onset of convection are found to be unaltered by the inducted electric field. The problem has industrial applications.
2
Content available remote Effect of time - periodic modulation on convection in solutions of dilute polymeric liquids in a porous medium
Siddheshwar P. G., Srikrishna C. V.
International Journal of Applied Mechanics and Engineering
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2008
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Vol. 13, no 3
753-780
EN
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.
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