Ohmic Dissipation on Jeffery-Hamel Flow of an Electrically Conducting Second-Grade Fluid in Converging and Diverging Channels Under Velocity Slip Effects: Semi-Analytical Simulations via ADM

Abstract

Researchers can learn more about energy losses, temperature distributions, and general flow characteristics by examining the distribution of Ohmic dissipation in the channels under various circumstances. Thus, in this scientific investigation, it delves into the intricate dynamics of Jeffery-Hamel flow for second-grade fluids under the influence of velocity slip, magnetic, and electric fields. A transformative journey is set out using the electro-hydromagnetic second-grade fluid theory as the basis. The regulating partial differential equations responsible for this fluid flow phenomenon experience a significant transformation, evolving into ordinary differential equations. Then, two distinct but powerful analytical methods are used to analyze these ordinary differential equations: the widely used Adomian decomposition method and the 4th–5th order Runge-Kutta Fehlberg method, which is enhanced by the shooting operation. Various factors influencing the skin friction coefficient and the dimensionless velocity (represented as “f”) of the second-grade fluid are examined. The electric and magnetic fields, the Deborah number, and the elusive velocity slip components are among the many physical variables that are observed. The behavior of the fluid inside the channel is affected by these parameters in the same way that cosmic bodies are affected by gravity. As it delves deeper into the topic of fluid dynamics, and makes some interesting discoveries. The lowest parts of the channel exhibit significantly less backflow; indicating a distinct lack of it. Similar to start alignment, this absence is observed when the Hartmann number rises, decreasing the reverse flow until it vanishes completely. In conclusion, these concepts may prove useful for enhancing designs in a range of engineering settings, including environmental remediation and groundwater management.