Abstract
This article explores the double-diffusive convection of Jeffrey fluids under the gravity modulation. The primary objective is to investigate the impact of time-periodic gravitational variations on Darcy-Brinkman convection of Jeffrey fluids within a porous layer. A weak nonlinear analysis is employed, utilizing a power series expansion method, where disturbances are expressed as power series. Nusselt and Sherwood numbers are employed to measure heat and mass transport, respectively. The study analyzes the influence of various parameters, including the Jeffrey parameter, Darcy number, Vadasz number, Lewis number, Rayleigh-Darcy number, and solutal Rayleigh-Darcy number, on heat and mass transfer. Graphical representations of the results illustrate that an increase in the Jeffrey parameter, modulation amplitude, Lewis number, Vadasz number, and solutal Rayleigh-Darcy number enhances heat and mass transport, thereby promoting instability. Conversely, an increase in the Darcy number and modulation frequency leads to a decrease in heat transfer and mass transport. Comparisons between unmodulated and modulated cases highlight that the modulated case has a more significant effect on stability compared to the unmodulated case. This underscores the crucial role of external parameters, such as gravity modulation, in controlling heat and mass transfer within the system.
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