Tracer dispersion due to pulsatile casson reactive flow in a circular tube modulated by electrical and magnetic fields

Beg, OA; Murugan, D; Roy, AK; Ponalagusamy, R

Abstract

The present article describes a detailed mathematical investigation of electro-magneto-hydrodynamic dispersion in the pulsatile flow of a Casson viscoplastic fluid in a tube packed with a porous medium. Using appropriate transformations, the model is rendered non-dimensional. Via the generalized dispersion method and finite Hankel transforms, analytical solutions for the solute concentration dispersion and convection coefficients have been obtained. The impact of the Hartmann (magnetic) number, Debye–Hückel(electrokinetic) parameter, Darcy number, and chemical reaction parameter with regard to dispersion phenomena has been studied. The evolution in velocity and concentration profiles are investigated graphically for realistic ranges of the various physical parameters. The present investigation, highlights the dual nature of the Debye–Hückel parameter in the dispersion process. Increment in the lower or higher magnitudes of Debye–Hückel parameter induces or decreases the magnitudes of effective dispersion coefficient, whereas it induces a reverse dual mechanism in the zenith of the average concentration profile. The present simulations are relevant to enhancing the performance of diagnostic tools in biochemical engineering, pumping of intelligent rheological working fluids in biomedicine, and also soft robotics.

Citation

Beg, O., Murugan, D., Roy, A., & Ponalagusamy, R. (2022). Tracer dispersion due to pulsatile casson reactive flow in a circular tube modulated by electrical and magnetic fields. International Journal of Applied and Computational Mathematics, https://doi.org/10.1007/s40819-022-01412-3

• Journal Article Type: Article
• Acceptance Date: Jul 9, 2022
• Publication Date: Aug 12, 2022
• Deposit Date: Aug 22, 2022
• Publicly Available Date: Aug 13, 2023
• Journal: International Journal of Applied and Computational Mathematics
• Print ISSN: 2349-5103
• Publisher: Springer
• DOI: https://doi.org/10.1007/s40819-022-01412-3
• Publisher URL: https://doi.org/10.1007/s40819-022-01412-3