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2 International Journal of Applied Mechanics and Engineering

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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.

Suction-injection effects on the onset of convection in suspensions occupying a porous medium

Sri Krishna C. V.

International Journal of Applied Mechanics and Engineering

2001

Vol. 6, no 4

861-883

The effect of the Suction-Injection-Combination (SIC) on the onset of Rayleigh-Benard convection in suspensions is studied in a porous medium using the Rayleigh-Ritz technique. The critical eigenvalue is obtained for free-free, free-rigid and rigid-rigid boundary combinations with isothermal or adiabatic temperature condition. The microrotation of the suspended particles is assumed to vanish at the boundaries. The effect of the SIC on the critical eigenvalue is shown to be dependent on whether it is gravity-aligned or anti-gravity. The classical results on the effect of suspended particles on convection is found to be unaltered by the SIC. The problem has industrial applications.