Recent content by Hari Seldon
-
Graduate Deriving Navier-Stokes: Lagrangian & Hamiltonian Methods
Hello, thank you for your reply. Yes, I tried to Google it, but I didn't find what I wanted. I expected an approach like, for example, estabilish the generalized coordinates, calculate the kinetic energy and so on. Finally, that is why I wrote here, I tought that maybe I was thinking in a wrong way.- Hari Seldon
- Post #3
- Forum: Mechanics
-
Graduate Deriving Navier-Stokes: Lagrangian & Hamiltonian Methods
Is that possible to derive the Navier-Stokes equations with Lagrangian and Hamiltonian methods? If yes, how? and if it is not possible, why?- Hari Seldon
- Thread
- deriving Hamiltonian Lagrangian Navier-stokes
- Replies: 4
- Forum: Mechanics
-
Watt Rotational Speed Regulator's Lagrangian
Perfect! So given the following coordinates of the two masses: $$x_{1}=l\sin{\theta}\sin{\varphi}~~~x_{2}=-l\sin{\theta}\sin{\varphi}$$ $$y_{1}=l\sin{\theta}\cos{\varphi}~~~y_{2}=-l\sin{\theta}\cos{\varphi}$$ $$z_{1}=l\cos{\theta}~~~~~z_{2}=l\cos{\theta}$$ We can calculate the derivative of them...- Hari Seldon
- Post #6
- Forum: Advanced Physics Homework Help
-
Watt Rotational Speed Regulator's Lagrangian
Thank you very much for your help! Yes, I was adding instead then projecting. So the coordinates should be the following? $$ x_{1}=l\sin{\theta}\sin{\varphi}$$ $$ y_{1}=l\cos{\theta}\cos{\varphi}$$ $$ x_{2}=-l\sin{\theta}\sin{\varphi}$$ $$ y_{2}=l\cos{\theta}\cos{\varphi}$$ Do I need also...- Hari Seldon
- Post #3
- Forum: Advanced Physics Homework Help
-
Watt Rotational Speed Regulator's Lagrangian
I understand that it is a system with two degrees of freedom. And I chose as generalized coordinates the two angles shown in the pic I posted. I am having troubles in finding the kinetic energy of this system, cause the book tells me that the kinetic energy is something different then what I...- Hari Seldon
- Thread
- Lagrangian Rotational rotational speed Speed Watt
- Replies: 6
- Forum: Advanced Physics Homework Help