Transient MHD Darcy-Forchheimer of Williamson-Casson flow with CCS: Application of wastewater treatment

• Published in: Advances in mechanical engineering 2024-04, Vol.16 (4)
• Main Authors: Al-Arabi, Taghreed H, Elgazery, Nasser S, Elelamy, Asmaa F
• Format: Article
• Language: English
• Subjects: Bending modulus; Boundary conditions; Chemical reactions; Electrons; Exact solutions; Ferrofluids; Heat sources; Magnetohydrodynamics; Mass transfer; Mathematical models; Nanofluids; Runge-Kutta method; Wastewater treatment; Water purification; Water treatment
• ISSN: 1687-8132; 1687-8140
• DOI: 10.1177/16878132241245832

With regards to the Cattaneo-Christoph (CCS) speculation, the thermal and mass transfer of a MHD Williamson-Casson ferrofluid flow through a permeable medium obeying the Darcy-Forchmeier law through an extended chamber or slab is carefully considered. The chemical reaction and Buongiorno nanofluid model were modified in the model to describe the nanoscale properties of liquid particles. Heat sources can be divided into two categories: linear and exponential space-dependent convection heat sources. The entire governing equations are changed to common differential terms, using a reasonable similarity change. These equations and their associated boundary conditions are calculated numerically via the fourth-order Runge-Kutta method. Comparison was made with the analytical solution in a special case, and very good agreement was reached. Economic success with deeper water purification can be attained by developing models for wastewater treatment facilities, conducting experiments and calculations on them, and making predictions for their nature in order to improve their cleaning efficiency, Prevent issues from arising during construction, operation, and reconstruction. The structural parameters of the quencher were physically modeled using mathematical modeling; It is possible to establish a cost-effective and effective filter model for industry and small settlements using the calculations and vertical filter model created in the article. Furthermore, it will be feasible to produce. Our mathematical procedure assure that: the deposit’s mass will be diminished through treated water under attractive field impacts; The magnetic field openness with nanometer-sized particles modifies the physical and synthetic properties of water particles bringing about exceptional characteristics; the water concentration will be decreased with the increase in the bending modulus; This means that in wastewater treatment the sediment mass will decrease.