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<p>Interest in combining fluid dynamics with fuzzy systems to improve predictive capabilities in complex engineering scenarios has recently surged. Fuzzy systems utilize precise fluid dynamics data from these engineering challenges. This study uses a fuzzy logic-based approach to examine fluid behavior between initially stationary parallel plates, focusing on the theoretical analysis of the Bingham plastic fluid model. By incorporating fuzzy logic principles, we developed fuzzy differential equations, including equations of motion, continuity, and energy, and created a semi-analytical solution to comprehensively understand fluid flow behavior, considering various lubricant factors and temperature dependencies. This enhanced fuzzy analysis offers a more adaptable and nuanced perspective on complex fluid dynamics, providing valuable insights for practical applications and optimization. Additionally, we found that numerical velocity and temperature profiles, when using fuzzy membership, closely match experimental measurements for the Bingham plastic fluid model between these plates. These results were obtained using the 4th-order Runge–Kutta method. We also explored the influence of parameters such as α and other constraints on fuzzy velocity and temperature profiles through graphs and tables. Our findings align well with previous numerical and analytical results obtained in a conventional, crisp environment.</p>

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Fuzzy Modeling of Boundary Value Problems for Bingham Plastic Fluid Flow Between Two Parallel Plates

  • 期刊论文

  • 发表日期：

    2025年5月27日

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  • Dhana Lakshmi Gandikota,
  • P. Sudam Sekhar,
  • Debnarayan Khatua,
  • T. L. Yookesh

摘要

Interest in combining fluid dynamics with fuzzy systems to improve predictive capabilities in complex engineering scenarios has recently surged. Fuzzy systems utilize precise fluid dynamics data from these engineering challenges. This study uses a fuzzy logic-based approach to examine fluid behavior between initially stationary parallel plates, focusing on the theoretical analysis of the Bingham plastic fluid model. By incorporating fuzzy logic principles, we developed fuzzy differential equations, including equations of motion, continuity, and energy, and created a semi-analytical solution to comprehensively understand fluid flow behavior, considering various lubricant factors and temperature dependencies. This enhanced fuzzy analysis offers a more adaptable and nuanced perspective on complex fluid dynamics, providing valuable insights for practical applications and optimization. Additionally, we found that numerical velocity and temperature profiles, when using fuzzy membership, closely match experimental measurements for the Bingham plastic fluid model between these plates. These results were obtained using the 4th-order Runge–Kutta method. We also explored the influence of parameters such as α and other constraints on fuzzy velocity and temperature profiles through graphs and tables. Our findings align well with previous numerical and analytical results obtained in a conventional, crisp environment.