- #1
fab13
- 318
- 6
Hello,
I am trying desperately to find the solution indicated in this question :
If I compute the equations on the 3 axis, I can't get the flow to be directed along ##\vec{e_y}##.
I have only :
##\dfrac{\partial v_{z}}{\partial t} = -\dfrac{1}{\rho_0}\dfrac{\partial \delta P}{\partial z}+\alpha g \delta T\quad(1)##
##\dfrac{\partial v_{x}}{\partial t} - 2\Omega_{z} v_{y}=0\quad(2)##
##\dfrac{\partial v_{y}}{\partial t} + 2\Omega_{z} v_{x}=0\quad(3)##
Anyone could see how to prove a flow directed along ##\vec{e_{y}}## for the steady solution of this equation ?
and with a gradient along ##\vec{e_{z}}## ?
Any help would be kind.
I am trying desperately to find the solution indicated in this question :
If I compute the equations on the 3 axis, I can't get the flow to be directed along ##\vec{e_y}##.
I have only :
##\dfrac{\partial v_{z}}{\partial t} = -\dfrac{1}{\rho_0}\dfrac{\partial \delta P}{\partial z}+\alpha g \delta T\quad(1)##
##\dfrac{\partial v_{x}}{\partial t} - 2\Omega_{z} v_{y}=0\quad(2)##
##\dfrac{\partial v_{y}}{\partial t} + 2\Omega_{z} v_{x}=0\quad(3)##
Anyone could see how to prove a flow directed along ##\vec{e_{y}}## for the steady solution of this equation ?
and with a gradient along ##\vec{e_{z}}## ?
Any help would be kind.