MHD tri‐hybrid nanofluid blood flow in a porous cylinder: Insights from fractional relaxation modeling with thermal radiation and slip velocity boundary condition

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Journal Year: 2025, Volume and Issue: 105(1)

Published: Jan. 1, 2025

Abstract The study of flow through cylindrical structures holds significant importance in fields such as biomedical engineering, petroleum extraction, and industrial processes. In particular, understanding blood geometries that mimic small arteries is crucial for advancing cardiovascular health, treatment methods, drug delivery systems. Traditional models often fail to capture the complex nonlocal memory effects inherent dynamics, limiting their accuracy predicting heat transfer characteristics essential medical applications. This addresses these limitations by developing an innovative fractional‐order magnetohydrodynamic (MHD) model using a tri‐hybrid nanofluid composed , . uniquely integrates boundary slip velocity within fractional Maxwell rheology framework employs Cattaneo bioheat model, applied porous structure. mathematical formulation based on Caputo approach time derivatives both thermal momentum equations. Numerical solutions are obtained finite difference techniques, incorporating L1 L2 approximations derivatives. investigates orders along with parameters wall radiation, velocity, temperature, skin friction, Nusselt number. Results indicate achieves up 10% enhancement compared or di‐hybrid nanofluids, also exhibiting 25%–40% lower friction. Furthermore, offer more realistic stable predictions across conditions. shows gradual friction responses, while yields rates than its classical counterpart. By calculus, improves simulation transport arteries, aiding development better treatments.

Language: Английский

Impact of nanoparticles shapes and fuzzy volume fraction on Al2O3 - H2O nanofluid flow past an unsteady expandable surface

Results in Engineering, Journal Year: 2024, Volume and Issue: unknown, P. 103763 - 103763

Published: Dec. 1, 2024

Language: Английский