Physics Help Forum Understanding the Navier-Stokes equations

 Thermodynamics and Fluid Mechanics Thermodynamics and Fluid Mechanics Physics Help Forum

 Jun 6th 2019, 01:35 PM #1 Junior Member   Join Date: Jun 2019 Posts: 2 Understanding the Navier-Stokes equations Hi everybody! I'm studying physics (13th grade) and I'm doing some external research and I've been really interested by fluid dynamics, more specifically the Navier-Stokes equations. I want to learn more about them but I don't know where to begin. I've started by teaching myself vector calculus and vector fields (I'm learning div, curl and grad). I've also researched tensors but I'm a bit confused on a. how many different equations there are b. how they are derived (I've seen derivations from F = ma and other ways). Thanks!
Jun 6th 2019, 01:47 PM   #2

Join Date: Apr 2008
Location: On the dance floor, baby!
Posts: 2,857
 Originally Posted by ChaosTheory Hi everybody! I'm studying physics (13th grade) and I'm doing some external research and I've been really interested by fluid dynamics, more specifically the Navier-Stokes equations. I want to learn more about them but I don't know where to begin. I've started by teaching myself vector calculus and vector fields (I'm learning div, curl and grad). I've also researched tensors but I'm a bit confused on a. how many different equations there are b. how they are derived (I've seen derivations from F = ma and other ways). Thanks!
Fluid dynamics is a very active branch of Physics and it's good that you are showing interest. You could have a good career doing just that.

On the other hand, the Navier-Stokes equations are non-linear partial differential equations. Unless you are using some kind of approximation to them? (My field of expertise is in Quantum Field Theory. The Math can be, well, horrible. Be warned: Fluid dynamics equations are worse. You are going to have to take a lot of Math.)

-Dan
__________________
Do not meddle in the affairs of dragons for you are crunchy and taste good with ketchup.

See the forum rules here.

 Jun 6th 2019, 01:51 PM #3 Junior Member   Join Date: Jun 2019 Posts: 2 Thanks for the reply! Right now, I just want to understand (maybe not to the full extent) of the derivation of the equations and just trying to figure out what goes where and why. But I don't know where to start, I know vector calculus is needed so I'm learning up on that but what next?
 Jun 6th 2019, 06:12 PM #4 Senior Member   Join Date: Jun 2010 Location: NC Posts: 419 Chaos, Hi... Hi, You might look at my site. Vectors and math are used. THERMO Spoken Here! Maybe start with this discussion of f=ma. 1.10 About f = mA | THERMO Spoken Here! Good Luck, TSH topsquark likes this.

 Thread Tools Display Modes Linear Mode

 Similar Physics Forum Discussions Thread Thread Starter Forum Replies Last Post gbclimber Thermodynamics and Fluid Mechanics 1 Aug 31st 2017 03:16 PM Wendigo Thermodynamics and Fluid Mechanics 0 Oct 5th 2016 07:48 AM reistyle Thermodynamics and Fluid Mechanics 0 Oct 20th 2015 07:08 AM lisjelie Advanced Mechanics 1 Jun 24th 2013 03:35 AM r.samanta Electricity and Magnetism 2 Oct 1st 2009 11:12 PM