MATLAB Fluid Dynamics and Heat Transfer Computational Program

The MATLAB-based computational program for fluid dynamics and heat transfer analysis employs sophisticated numerical methods to solve complex partial differential equations governing fluid behavior and thermal transport. The implementation leverages MATLAB's built-in PDE solvers and matrix operations to efficiently handle Navier-Stokes equations for fluid flow and Fourier's law for heat conduction. Key algorithmic components include finite difference/element methods for spatial discretization, time-marching schemes (such as explicit/implicit Euler or Runge-Kutta methods) for temporal integration, and iterative solvers for pressure-velocity coupling in incompressible flows. This program utilizes MATLAB's computational capabilities to perform large-scale simulations with optimized memory management and parallel processing features. It incorporates boundary condition handling through specialized function modules, mesh generation tools for complex geometries, and visualization routines for result interpretation using contour plots, vector fields, and temperature distribution maps. The application scope spans multiple disciplines including mechanical engineering (engine cooling systems, turbomachinery), chemical engineering (reactor design, heat exchangers), aerospace (aerodynamic heating), and biomedical engineering (blood flow analysis). The code architecture allows modular implementation of physical models, enabling customization for specific thermodynamic properties, turbulence models (k-epsilon, RANS), and multiphase flow scenarios. Validation modules include comparison with analytical solutions and experimental data to ensure computational accuracy.