Research on the Application of Partial Differential Equations in Engineering Fluid Mechanics
Bai Jianchao

Yibin University，Yibin City  Sichuan Province，644000；

Abstract: This paper focuses on the application of partial differential equations in engineering fluid mechanics, systematically elaborating on the theoretical basis of partial differential equations as the basic tool for describing fluid motion, and analyzing their application principles and importance in core fields of engineering fluid mechanics such as fluid flow, heat and mass transfer, and multiphase flow. Simultaneously exploring the numerical methods, analytical methods, and asymptotic methods of partial differential equations in solving engineering fluid dynamics problems, analyzing the challenges faced in the application process and proposing solutions, aiming to provide theoretical references and methodological guidance for the use of partial differential equations in solving practical problems in the field of engineering fluid dynamics, and promote the development of related engineering technologies.

Keywords: partial differential equations; Engineering fluid mechanics; Fluid motion; Numerical solution; Analytical method

References

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