Numerical investigation of MHD stratified flow over an inclined cylinder with Brownian motion, thermophoresis and waste discharge concentration effects
Khadija Rafique, Zafar Mahmood, Assmaa Abd‐Elmonem, Nagat A.A. Suoliman, Ioan‐Lucian Popa, Abhinav Kumar
Abstract
Comprehending the interaction of transport phenomena across inclined cylinder is essential for enhancing engineering systems such as heat exchangers, pollution dispersion mechanisms, and bioreactors, where fluid flow, heat transfer, and mass transport are interconnected. This study examines flow, heat, and mass transfer with entropy generation in bioconvection nanofluid flow over an inclined cylinder, considering the influences of thermal radiation, mass suction, magnetohydrodynamics (MHD), Joule heating, viscous dissipation, heat absorption, Brownian motion, thermophoresis, discharge concentration, and stratification phenomena. The system of partial differential equations is rehabilitated into system of non-linear ordinary differential equations by sufficient transformations. Keller box technique is therefore an implicit finite difference strategy used numerically to solve similarity equations. This research carefully examines the impact of several dimensionless factors on velocity, temperature, concentration, entropy production, skin friction, Nusselt number, Sherwood number, and microbiological density profiles. A detailed parametric study demonstrates that inclined geometry intensifies axial gravity forces and alters boundary layer dynamics, improving velocity profiles at steeper angles (γ) and facilitating magnetic forces (Μ). Thermal profiles demonstrate dual dependencies: viscous dissipation (Ec) and radiation (Rd) increase temperatures, whilst stratification (δ) and heat absorption (H) decrease them. The interactions of nanoparticles underscore a trade-off: Brownian motion (Nb) disperses particles, reducing concentration, while enhancing thermal conductivity and increasing temperature; conversely, thermophoresis (Nt) concentrates particles and heat at the surface. The number of microbes increases by about 327.3% when the Péclet number goes from 0.5 to 2.0. The Sherwood number goes up by around 436.3% and the Nusselt number goes up by about 51.7% as the Brownian motion parameter goes from 0.2 to 0.8. When the thermophoresis parameter goes from 0.1 to 0.4, the Sherwood number goes down by 57.4% and the Nusselt number goes down by 2.1%.