Unveiling the intricacies: Exploring the impact of concentration modulation on weakly nonlinear thermal instability in a rotating porous layer

Abstract

Concentration modulation research is critical because it provides a thorough understanding of how fluctuations in concentration affect a wide range of sectors, from environmental science to medicines, eventually leading to more effective problem-solving and innovation. However, nothing is known about concentration modulation on weakly nonlinear thermal instability in a rotating porous layer holds profound significance as it contributes to the advancement of our understanding in the field of fluid dynamics and thermal sciences, offering valuable insights into the complex interplay of factors that govern heat transfer phenomena in rotating porous media. The mass transfer in a rotating porous medium is subjected to imposed time-periodic solutal boundaries. A weakly nonlinear analysis investigates mass transfer in the porous medium. The cubic Ginzburg Landau amplitude equation calculates the mass transfer coefficient. Stationary and oscillatory convections are discussed in the presence of rotating solutal Rayleigh numbers. The onset of convection is observed through the stability curves for stationary and oscillatory solutal critical Rayleigh numbers as a function of wavenumber. Taylor number delays the onset of solutal convection, while the internal solute Rayleigh number has an opposite effect on the stationary solutal convection. It was also observed that the mass transfer rate was higher for the modulated system than the unmodulated one. This study revealed that mass transport is proportional to Vadasz number, internal solute Rayleigh number, amplitude of modulation and inversely proportional to Taylor number and frequency of modulation.