📚 Engineering Blog & Tutorials

A step-by-step mathematical walk-through of the Semi-Implicit Method for Pressure-Linked Equations (SIMPLE) used in incompressible Navier-Stokes solvers.

A rigorous analytical derivation of velocity and thermal boundary layer thicknesses over a flat plate using similarity variables.

A comparison of dilute Fickian diffusion models with Maxwell-Stefan formulations for concentrated multi-component mass transfer.

Understand mass transfer across liquid-gas interfaces using Whitman's two-film model and analysis of the dimensionless Lewis number.

Analyze dimensionless convective mass transport equations and their analogies to boundary layer heat transfer correlations.

Derive the governing equations of evaporative cooling and psychrometrics, highlighting the thermodynamic wet-bulb temperature.

An analytical look at transient heat conduction, outlining lumped capacitance criteria and analytical infinite-series solutions.

Solve 2D Laplace conduction equations using analytical shape factors for complex geometries and buried objects.