Partial Differential Equations in Applied Mathematics (Sep 2024)

Heat and mass transfer of Williamson and Maxwell micropolar nanofluid over a wedge with magnetic field and activation energy effects

  • Waqar A. Khan,
  • A.M.A. EL-Hakiem,
  • Hossam A. Nabwey,
  • A.M. Rashad,
  • Gehad Sayed

Journal volume & issue
Vol. 11
p. 100796

Abstract

Read online

The numerical investigation conducted in this study focuses on analyzing the behavior of magneto-micropolar flow, particularly concerning the transportation of magneto-Williamson and Maxwell micropolar nanofluids past a non-isothermal wedge. The governing partial equations describing the flow dynamics transform a system of ordinary differential equations through similarity analysis. These transformed equations are subsequently solved utilizing MAPLE 23. This study employs an array of graphical depictions to illustrate how various parameters affect the spatial distribution of critical variables, thereby highlighting their tangible effects. The numerical findings are validated by comparing the computed values of skin friction with those available in published sources, revealing a favorable agreement. Moreover, the investigation reveals notable findings: heat transfer rates are higher for Williamson micropolar nanofluids than Maxwell micropolar nanofluids. Additionally, the Sherwood number, indicative of mass transfer, positively correlates with the Schmidt number and Brownian motion parameter while being inversely affected by the thermophoresis and energy activation parameters. The specific novelty of this work lies in its comprehensive parametric analysis of magneto-Williamson and Maxwell micropolar nanofluids under non-isothermal conditions, employing similarity transformations and advanced numerical methods to uncover new insights into the heat and mass transfer behaviors in these complex fluid systems.

Keywords