Effect of imposed time-periodic boundary temperature on on the onset of rayleigh-benard convection in a dielectric couple stress fluid

International Journal of Applied Mathematics and Computation

S Pranesh¹  Sangeetha George² 

[1] Christ University, Bangalore.$$;Christ U University$$

关键词: Imposed time periodic boundary temperature;    electroconvection;    small amplitude;    dielectric;    couple stress fluid.;   

DOI  :  10.0000/ijamc.2013.5.4.460

来源: PSIT Kanpur

【 摘 要 】

The effect of imposed time-periodic boundary temperature of small amplitude on electroconvection under AC electric field in dielectric couple stress liquids is investigated by making a linear stability analysis. A regular perturbation method is used to arrive at an expression for the correction Rayleigh number that throws light on the possibility of sub-critical motions. The Venezian approach is adopted for obtaining eigen value of the problem. Three cases of oscillating temperature field are examined: (a) symmetric, so that the wall temperatures are modulated in phase, (b) asymmetric, corresponding to out-of phase modulation and (c) only the lower wall is modulated.  It is shown that the system is most stable when the boundary temperatures are modulated out-of-phase.

【 授权许可】

Unknown