Heat and Mass Transportation Analysis for 3D Darcy-Forchheimer Jeffery Nano Fluid Flow Embedded in Irregular Porous Surface
DOI:
https://doi.org/10.48165/gjs.2026.3202Keywords:
Jeffery Nano Fluid, Darcy Forchheimer Penetrating medium, Thermophoretic and Brownian diffusion, Chemical ReactionAbstract
This research characterizes a comprehensive investigation reliant on 3D occurrence and also thermal management of a magnetized Jeffery Nano liquid configured by non-linear shrinking/stretching sheet exposed to diverse complicated physical phenomena. The contemporary model incorporates the features of thermal radiation, Darcy-Forchheimer penetrating medium, Thermophoresis combines with Brownian diffusion and a homogeneous chemical reaction. The penetrating medium is designed utilizing an expanded Darcy-Forchheimer relation to apprehend inertial impacts, whilst the magnetic field impacts are incorporated to explore MHD demeanor. The energy equation constitutes for radiative thermal transportation utilizing the Rosseland approximation as well as Ohmic heating. Nano size particle transference is modeled under consideration of both thermophoretic and also Brownian movement alongside with chemical reaction specified by first-order. The accomplishing non-linear partial differential Equations (PDEs) are reformed into extensive set of coupled ordinary differential equations (ODEs) by employing pertinent similarity transformations. Further, these acquired equations are solved by employing the numerical technique such as Optimal Homotopy Analysis method (OHAM) which contributes accurate as well as efficient semi-analytical framework. The accuracy as well as convergence of OHAM approach solutions are validated and also the impact of key dimensionless constraints including magnetic and radiation constraint, Deborah number, Forchheimer number, chemical reaction rate, thermophoresis and also Brownian constraints are examined. Outcomes are displayed in graphical and also presented in tabular form to depict the consequences on velocity, temperature alongside concentration distributions. The conclusions proffer valuable insights particularly for engineering applications including non-Newtonian Nano fluidic occurrence in penetrating and also radiative active environments.
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