1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Navier-Stokes equations with temperature term

  1. Apr 10, 2012 #1
    1. The problem statement, all variables and given/known data

    C dimensionless solute concentration
    C0 constant
    Grc solutal Grashof number
    Grh thermal Grashof number
    Le Lewis number
    N buoyancy ratio N = Grc/Grh
    Pr Prandtl number
    r dimensionless radial coordinate
    t dimensionless time coordinate
    z dimensionless axial coordinate
    θ dimensionless temperature
    w dimensionless stream function
    x dimensionless vorticity

    The governing axisymmetric equations for the Newtonian
    and laminar binary fluid neglecting heat generation,
    viscous dissipation, chemical reaction and thermal radiation
    can be expressed as:

    2. Relevant equations

    http://postimage.org/image/4gv0vv657/

    3. The attempt at a solution

    This is a part from an article from R. Cai and C. Gou. My firs assignment is to start with a differential small element and derive this equations. I think first one is a kind of Navier-Stokes equation, the second one is to define worticity the third one is energy equation and the last one is the mass conversion equation.

    I could obtain the last two equations but I cannot do the same for the first equation. Is it really Navier-Stokes equation? If so, how can I add the thermal term. I can just obtain inertial and viscous parts but thermal term. May be it is a part of pressure gradient but I couldn't do anything at all. Could someone possibly give me a hint about the thermal term?
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?



Similar Discussions: Navier-Stokes equations with temperature term
  1. Fermi Temperature (Replies: 0)

Loading...