Efficient numerical scheme for studying dual-phase chemical reactions in unsteady Sisko fluid flow with relaxation times

Abstract

This research article investigated the effects of dual-phase chemical reactions on the unsteady flow of Sisko fluid. Utilizing Caputo's fractional derivatives, the model captured the fractional behavior of the fluid and integrated relaxation times to reflect the viscoelastic nature of the Sisko fluid. The model also considered unequal diffusivities of the chemical species. The resulting equations were discretized using the finite difference method, complemented by the L1 algorithm. Our simulations underscored how memory parameters, β and γ, significantly shaped the concentration trajectories by emphasizing the impact of past flow behaviors. Moreover, the study identified the heterogeneous reaction parameter and the diffusion coefficients ratio as critical determinants in the reaction dynamics, underscoring their role in the system's behavior. This study illuminates the intricate matrix of relationships in the realm of chemical reactions and viscoelastic fluid flow, offering valuable insights for fields ranging from chemical processing to environmental remediation.

Keywords

• Dual-phase chemical reactions
• Unsteady Sisko fluid flow
• Fractional derivatives
• Relaxation times
• Finite difference method