📚 Engineering Blog & Tutorials

An in-depth analysis of convection-diffusion discretization schemes, analyzing stability, numerical diffusion, and spatial accuracy.

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

Examine the formulation and application limits of RANS turbulence closures, focusing on standard k-epsilon and Menter's Shear Stress Transport (SST) model.

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

Analyze buoyancy-driven heat transfer in enclosures, identifying Rayleigh number regimes for conduction-convection transitions.

Investigate the interaction of buoyancy-induced secondary currents and forced axial flows in horizontal heat exchanger tubes.

Examine convective heat transfer correlations for aligned and staggered tube bundle arrays in shell-and-tube heat exchangers.

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.

Derive the fin equation and evaluate fin efficiency and effectiveness for different tip boundary conditions.

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

A deep dive into Net Positive Suction Head (NPSH), cavitation physics, and practical guidelines for sizing pump suction lines.

Explore the mathematical formulation of the Churchill-Bernstein correlation for external flow over cylinders, and verify it against empirical data.