Analysis of Analytical Techniques for Deciphering Fluid Flows under Certain Regime
DOI:
https://doi.org/10.56220/uwjst.v9i.271Keywords:
Analytical Techniques, Variational Iteration Method, Variational Perturbation Method, Burger’s FluidAbstract
Complex systems of ordinary and partial differential equations govern the great majority of phenomena in mathematical physics and engineering. By using sophisticated analytical frameworks to solve these governing equations, this study offers a thorough investigation into the dynamics of fluid flow and heat transfer. In particular, the study investigates the coupled effects of mass and heat transfer over an inclined stretching sheet in the magneto-hydrodynamic (MHD) flow of a non-Newtonian Burgers' fluid through a porous medium. Two reliable analytical techniques, the Variational Iteration Method (VIM) and the Variational of Parameter Method (VPM), are used to preserve high accuracy while guaranteeing computational efficiency. These techniques offer sophisticated, closed-form approximations that avoid the high computational costs of conventional numerical grid-based simulations. The impact of different physical parameters on the temperature and velocity distributions is examined in detail, and graphical representations are offered to confirm the dependability and consistency of the suggested analytical models. The results provide a theoretical foundation for understanding the sensitivity of flow parameters, which is essential for the future design and optimization of transport mechanisms in MHD-based industrial systems.
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