Lando Norris delivered a stunning lap to secure pole position at the Dutch Grand Prix, beating Max Verstappen by 0.356s.  Norris' McLaren teammate Oscar Piastri took third, while Mercedes' George ...

- Lando Norris delivered a stunning lap to secure pole position at the Dutch Grand Prix, beating Max Verstappen by 0.356s.
- Norris' McLaren team-mate Oscar Piastri took third, while Mercedes' George Russell secured fourth place.
- Lewis Hamilton and Carlos Sainz struggled, both dropping out in Q2, with Hamilton qualifying 12th.
- Verstappen's team-mate Sergio Perez finished fifth, as Red Bull aims to defend a 42-point lead over McLaren in the constructors' standings.
- Norris expressed excitement for the race, acknowledging the challenge from Verstappen at his home Grand Prix.

 Source: [Sky Sports](https://www.skysports.com/f1/news/12433/13201463/dutch-gp-lando-norris-edges-out-max-verstappen-to-top-first-practice-at-zandvoort-in-tough-conditions)

Lando Norris Stuns with Pole Position at Dutch GP, Beating Max Verstappen

Journalist

Lando Norris Stuns with Pole Position at Dutch GP, Beating Max Verstappen- Grapevine

Looks like max week be winning this weekend again with pole.  Also poor alonso and aston Martin, they're competing with Williams now

Max dominating again | Austrian gp

Web Developer

Good work by ALO in putting that shitbox Aston Martin in P3. Any F1 fans here?

Taylor Swift mentions him on TTPD and Alonso goes P3 🏁

Product Manager

Can’t believe this anymore…

You can’t hate this guy. Cut throat and no mistakes. One of the most talented guys in this generation. 

Starts at P17 and rushes through the field with god like talent. Defeats McLaren in an inferior package all while Sergio Perez is nowhere to be seen.

Verstappen is GOATed…

Welcome to Ask Grapeviners's Private Community

Like minded NBA fans or F1 Bois 👀, any online group or community, do share.
Thanks!

If anyone from Hyderabad who plays basketball for hobby, feel free to connect

Any NBA / F1 communities looking for a geek 🤓?

Strategy & Operations

TLDR:
I was reading up on the Navier Stokes equations today and it is so elegant that it might be my favourite math equation. 

Equation 1: ∇u = 0 (conservation of mass) states that the divergence of the velocity vector u is zero, meaning there is no net change in fluid mass.

Equation 2: ρ Du/Dt = -∇p + μ∇^2 u + ρF (conservation of momentum) expresses Newton's second law for fluid flow. It balances the acceleration of fluid particles (LHS) with internal forces (pressure and viscosity) and external forces (gravity or other external influences) on the RHS. 

This equation is foundational for modelling various fluid dynamics scenarios, from celestial bodies like stars and galaxies to F1 cars.

Long Version:
Here's how it works:

Equation 1:

∇u = 0 (conservation of mass)

So, u is velocity that can be represented as (u,v,w) vector, where u,v,w are x,y,z components of the vector.

∇u tells us that we need to do a partial derivative on u.

So,
∇u = ∂u/∂x + ∂v/∂y + ∂w/∂z = 0

or, the partial derivative of every component wrt corresponding direction is 0.


Equation 2:

ρ Du/Dt = -∇p + μ∇^2 u + ρ F (conservation of momentum)

LHS:
Since, u is velocity, then Du/Dt is acceleration and ρ is density. Newton's second law, F = m x a, applies here. Wherein, Du/Dt is acceleration of fluid particles and m is the density of the fluid.

RHS:
-∇p + μ∇^2 are the internal forces of particles hitting into each other while  F represents the external force.

F in most cases is gravity, so one can replace it with g. However, if you put in electromagnetism then, you can combine Navier-Stokes with Maxwell's equations. 

This has over time led to the development of magnetohydrodynamics, ie how stars and galaxies form. You can model the growth of our sun with this.

∇p is our pressure gradient and represents the change in pressure. Essentially, fluids move from high pressure to low pressure.

μ∇^2 represents viscous forces yielding from viscosity.

Imagine this can model aerodynamics of F1 cars.

[Thread] What is your favourite math equation?

Consultant

Welcome to News Discussion's Private Community

Lewis Hamilton to join Ferrari for 2025

So RedBull has only 1 driver now '24.

After extending Perez's contract, RB gave all the liberty to Perez for customizing his car.

Seems like Perez swapped the engine with the Splendor's engine.

Bro is resisting wins, he is competing for the last positions, and still unsuccessful.

Auto rickshaw drivers driver better than him at this point.

They should have left him in Mexico only.

RedBull is Bull-less apparently

Even the weight of the driver has new changes.

📢 F1 Enthu's - How will this change racing?

Growth Manager

https://youtu.be/9pEqyr_uT-k?si=VGy-Z_nH-TN0T3uU
A whole new perspective to see how F1 cars races on track

Lando Norris Stuns with Pole Position at Dutch GP, Beating Max Verstappen

Discover More

Sports on

by Anise Lee

Nielsen IQ

Max dominating again | Austrian gp

Sports on

by Kendall Dean

Gojek

Taylor Swift mentions him on TTPD and Alonso goes P3 🏁

Sports on

by Jordon Dean

Gojek

Can’t believe this anymore…

Sports on

by Isaiah Lee

Gojek

Verstappen is GOATed…

Ask Grapeviners on

by Kendall Lee

Headout

Any NBA / F1 communities looking for a geek 🤓?

Misc on

by Kendall Carmden

Gojek

[Thread] What is your favourite math equation?

News Discussion on

by Jordon Carmden

Adobe

Lewis Hamilton to join Ferrari for 2025

Sports on

by Kalan Everett

Headout

RedBull is Bull-less apparently

Sports on

by Karilyn Gabriel

CARS24

📢 F1 Enthu's - How will this change racing?

Misc on

by Karilyn Olive

Hexagon

Best F1 Footage yet