Why does a piano have 12 keys per octave? We derive the mathematical formula for equal temperament, explore its historical origins (including the Chinese prince Zhu Zaiyu), and understand the compromises it makes.
Can we trust scale models? This article explores similitude analysis and scaling laws for elastic waves and metamaterials. We derive explicit transformation rules (like the 1/α² law for flexural waves) to enable rigorous extrapolation from lab-scale experiments to real-world prototypes.
A practical guide to STEM (Spoor Trillingen Emissie Model), an open-source Python-based tool for predicting railway-induced ground vibrations using the finite element method.
A practical step-by-step guide to filing third-party rental car insurance claims. Learn the essential documents, form-filling tips, and common pitfalls to avoid for a smooth reimbursement process.
Compare workflow, usability, and accuracy of three major CFD platforms—COMSOL Multiphysics, ANSYS Fluent, and OpenFOAM—using the classic 2D cylinder flow benchmark case. From vortex shedding patterns to drag coefficients, explore how different tools tackle the same fundamental fluid dynamics problem.
Simulating focused ultrasound heating with acoustic-thermal coupling using k-Wave and COMSOL. This post covers the physics of HIFU therapy, acoustic field simulation, bio-heat transfer, and thermal dose calculation.
Develop a numerical model for the temperature maintenance process in electric kettles using COMSOL Multiphysics. This article explores how free convection, thermostat control, heat transfer, and species transport interact in a common household appliance—from theory to MATLAB implementation.
Dive into the thermal management of LED light fixtures using COMSOL Multiphysics. This blog explores how conduction, radiation, and convection interact to optimize LED performance, extend lifespan, and address challenges like heat dissipation and thermal cross-talk in high-power LED arrays.
Explore the physics of Doppler shift and interferometry behind LDV, understand its advantages over traditional accelerometers, and discover practical applications in MEMS, automotive NVH, and civil engineering.
This blog explores the Lorenz attractor, a fascinating example of chaos theory, through numerical simulations. It delves into the mathematical foundations, explains key parameters, and demonstrates visualization techniques using various programming tools like Julia, Python, MATLAB, and COMSOL. The post compares methods like Euler and Dormand-Prince, highlighting their strengths and weaknesses, while showcasing the beauty and complexity of chaotic systems.