Creeping flow of non-Newtonian fluid through membrane of porous cylindrical particles: A particle-in-cell approach

The present study is an attempt to deal with hydrodynamic and thermal aspects of the incompressible Carreau fluid flow past a membrane consisting uniformly distributed aggregates porous cylindrical particles enclosing solid core which aims provide comprehensive impact non-Newtonian nature in filtration process through membranes. characteristic adopted describe mechanism pseudoplastic layout pattern separated into two distinct areas area adjacent particle considered as porous. However, region surrounding taken non-porous (clear region). Brinkman equation governs region, whereas regulated by Stokes equation. nonlinear governing equations different regions are solved using asymptotic series expansion terms small parameters, such Weissenberg number [Formula: see text] non-dimensional parameter text], for higher permeability material. For large permeability, expression velocity derived, same has been used compute Kozeny constant, temperature profile. numerical scheme (NDSolve Mathematica) solve singularly perturbed boundary value problems case medium [i.e., text]]. graphical analysis illustrating outcomes effects varying control parameters power-law index, viscosity ratio parameter, medium, number, Nusselt on constant profile discussed comprehensively validated previously published works Newtonian limiting cases. notable determination that have significant velocity, hence, results showed increase dominance elastic forces over viscous increased high text]. gets slight reduction lower material text]; however, behaves similar findings proposed work may be instrumented analyzing various processes, including wastewater treatment blood smooth muscle cells. work, requires experimental verification.