MATLAB Code for Virtual Experiment on Quadratically Inhomogeneous Couette-Poiseuille Flow with Permeable Boundaries

This MATLAB code implements a comprehensive virtual experiment for computational analysis of steady laminar flow of viscous incompressible fluid in a horizontal channel with permeable boundaries. The model is based on an exact analytical solution of the generalized Couette-Poiseuille problem, incorporating:

- Constant pressure gradient of arbitrary sign
- Uniform normal flow (injection) through permeable boundaries  
- Quadratically inhomogeneous velocity profile on the upper moving wall

The code calculates and visualizes complete 2D velocity fields, vorticity distributions, and shear stress patterns for three real fluids (water, glycerin, and ethylene glycol at 20°C). It performs detailed integral boundary layer analysis and constructs a comprehensive flow regime map in (Re, Re_w) coordinates. All figures and numerical results from the accompanying research article are automatically generated and saved as publication-ready PNG files with 300 DPI resolution.