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1 International Journal of Applied Mechanics and Engineering

1 2008

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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

2008

Vol. 13, no 3

753-780

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.