💧 Euler’s Polyhedron - What has this to do with Fluid Mechanics? 💧

"Euler's polyhedra" refers to Euler's formula for polyhedra, which is a foundational theorem in the field of topology. The formula V−E+F=2, where...

👉 V is the number of vertices, 👉 E is the number of edges, and

👉 F is the number of faces of a polyhedron, describes a fundamental property of polyhedral shapes in Euclidean space.

When it comes to vortex dynamics, Euler's insights into geometry and topology can be indirectly useful.

Introducing Eye Contact by NVIDIA 👀

NVIDIA just released a new Eye Contact feature that uses AI to make you look into the camera. The new Eye Contact effect moves the eyes of the speaker to simulate eye contact with the camera — achieved by estimating and aligning gaze.

Everyone talks about #ChatGPT.

Some people believe it is not a threat. Let me tell you this👇

52% of companies on the Fortune 500 since 2000 have either gone bankrupt, been acquired, or even ceased to exist, all resultant from market evolution and disruptive technologies.

🧵👇 📚 I bought the Innovator’s Dilemma book published in 1997 by Clayton Christensen which describes a blueprint for failure designed to make successful creators and entrepreneurs sweat right through their business casuals.

In a nutshell...

Struggling with a problem and cannot solve it? Use the power of diffuse thinking 🧠

🧵👇 👉 FOCUSED THINKING.

Barbara Oakley, the academic and author responsible for popularising this model, describes Focused Thinking as dependent on established neural pathways and existing thought patterns.

💦 The Reynolds Number 💦

The Reynolds number is defined as a characteristic length multiplied by a characteristic velocity and divided by the kinematic viscosity.🧵👇 Whenever viscous forces are dominant (slow flow, low Re), they are sufficient enough to keep all the fluid particles in line, then the flow is called laminar. Very low Reynolds Numbers indicate viscous creeping motion, where inertial effects are negligible.

⚡Aeroelastic Flutter⚡

The Tacoma Narrows bridge disaster of 1940 attribute the collapse of the bridge due to aeroelastic flutter.

🧵👇 1️⃣ Flutter is a dangerous phenomenon encountered in flexible structures subjected to aerodynamic forces. Flutter occurs as a result of interactions between aerodynamics, stiffness, and inertial forces on a structure.

Schlieren Photography 🔥👀

🧵👇 Aerodynamicists use wind tunnels to test models of proposed aircraft and engine components. During a test, the model is placed in the test section of the tunnel and air is made to flow past the model.

⚡3D Shock-Bubble Interactions at Mach 3⚡

🧵👇 👇The video below shows what happens when a Mach 3 shockwave slams into a helium bubble. Researchers needed a supercomputer cluster to simulate the phenomenon, revealing how density and vorticity (more on that after the jump) evolve during the process.

🌎 Earth from Orbit: von Kármán Vortices 🌎

🧵👇 Named after Theodore von Kármán, a co-founder of NASA’s Jet Propulsion Laboratory and one of the first scientists to describe this type of atmospheric phenomenon, these beautiful cloud formations typically occur when the prevailing wind is diverted by elevated land features ...

🧠 AI Solves Mathematical Puzzle for Understanding our World 🧠

🧵👇 👉 Fourier Neural Operator for Parametric Partial Differential Equations

A Glacier–Ocean Interaction Model for Tsunami Genesis Due to Iceberg Calving 🥶

🧵👇 Glaciers calving icebergs into the ocean significantly contribute to sea-level rise and can trigger tsunamis, posing severe hazards for coastal regions. Computational modeling of such multiphase processes is a great challenge involving complex solid-fluid interactions.

Top 5 of My Favourite Fluid Mechanics Books❤️

A thread 🧵👇 This book is a guide to numerical methods for solving fluid dynamics problems. The most widely used discretization and solution methods, which are also found in most commercial CFD-programs, are described in detail. 

Link: geni.us/ByKzXV

Machine Learning for Wing Mirrors 🧠

Wing mirrors contribute to a significant part of the overall drag of a car (~5%), and need to be properly considered when trying to reduce the overall drag the car⚡

However, their impact on a car is really hard to accurately predict.​

🧵👇 CFD simulations are usually not accurate (~13% error compared to wind tunnel tests)​. Historical wind tunnel tests are performed on various cars, which makes it harder to separate the drag contributions from the body and the wing mirrors 🚗