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The linear stability problem for a fluid in a classic Benard configuration is considered. The applied temperature gradient is the sum of a steady component and a time-dependent periodic component. Only infinitesimal disturbances are considered. The time-dependent perturbation is expressed in Fourier series. The shift in critical Rayleigh number is… (More)

- B. S. Bhadauria, Lokenath Debnath
- Int. J. Math. Mathematical Sciences
- 2004

The linear stability of a horizontal layer of fluid heated from below and above is considered. In addition to a steady temperature difference between the walls of the fluid layer, a time-dependent periodic perturbation is applied to the wall temperatures. Only infinitesimal disturbances are considered. Numerical results for the critical Rayleigh number are… (More)

- B. S. Bhadauria
- 2004

The linear thermal instability of a horizontal fluid layer with time-periodic temperature distribution is studied with the help of the Floquet theory. The time-dependent part of the temperature has been expressed in Fourier series. Disturbances are assumed to be infinitesimal. Only even solutions are considered. Numerical results for the critical Rayleigh… (More)

- B. S. Bhadauria
- J. Applied Mathematics
- 2016

Linear stability analysis is performed for the onset of thermosolutal convection in a horizontal fluid layer with rigid-rigid boundaries. The temperature field between the walls of the fluid layer consists of two parts: a steady part and a time-dependent periodic part that oscillates with time. Only infinitesimal disturbances are considered. The effect of… (More)

The stability of a horizontal layer of fluid heated from below is examined when, in addition to a steady temperature difference between the horizontal walls of the layer a time-dependent low-frequency per turbation is applied to the wall temperatures. An asymptotic solution is obtained which describes the be haviour of infinitesimal disturbances to this… (More)

- B. S. Bhadauria
- 2003

The linear stability of a horizontal fluid layer, confined between two rigid walls, heated from below and cooled from above is considered. The temperature gradient between the walls consists of a steady part and a periodic part that oscillates with time. Only infinitesimal disturbances are considered. Numerical results for the critical Rayleigh number are… (More)

- B. S. Bhadauria
- 2002

Thermal convection in a fluid layer confined between two horizontal rigid boundaries has been studied with the help of the Floquet theory. The temperature distribution consists of a steady part and an oscillatory time-dependent part. Disturbances are assumed to be infinitesimal. Numerical results for the critical Rayleigh numbers and wave numbers are… (More)

—In this paper, we study the thermosolutal convection in a horizontal temperature dependant viscous fluid layer. The considered temperature profile consists of two parts: a steady part and a time-dependent periodic part that oscillates with time. A weak nonlinear stability analysis has been performed by using power series expansion in terms of the amplitude… (More)

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