MATLAB Program for Solving Reynolds Equation with Fluid Dynamics Implementation

Below is a MATLAB program designed to solve the Reynolds equation - a fundamental equation in fluid dynamics that describes the dynamic properties of liquids or gases flowing through pipelines. This implementation utilizes finite difference methods to discretize the partial differential equation, with core functions handling boundary condition application and pressure distribution calculations. The program supports simulation of various fluids including water, oil, and air through customizable viscosity and density parameters. Key algorithm components include iterative solvers for pressure field convergence and visualization tools for result analysis. Engineers can modify operating conditions such as flow velocity, pipe geometry, and fluid properties to obtain different simulation outcomes. This code provides practical insights into fluid mechanics principles and enhances workflow efficiency in real-world engineering applications. For those interested in fluid dynamics, this program serves as an educational tool demonstrating numerical implementation techniques while helping master domain knowledge through hands-on experimentation with governing equations.