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세미나/콜로퀴움
토토 세븐

스포츠 토토 라이브 스코어APCTP-POSTECH Distinguished

본문

"            
“Onsager Principle and
Nanoscale Hydrodynamics”
  
♦Speaker :토토 세븐Prof. Ping Sheng (Hong Kong University)
♦Place : Physics Seminar Room (Science Bldg, 3-201)
♦Date & Time : July 3 (Fri), 15:00 ~ 16:00 pm

Abstract
    
It is probably not a well-known fact that up until recently, continuum hydrodynamics can not accurately
model immiscible flows at the nanoscale.토토 세븐The problem is not with the토토 세븐Navier-Stokes토토 세븐equation,토토 세븐which
must be true, but lies in the hydrodynamic boundary condition, which for토토 세븐the토토 세븐past토토 세븐century토토 세븐has토토 세븐been
held to be no-slip at the fluid-solid interface.토토 세븐In this talk, the history토토 세븐of토토 세븐the토토 세븐hydrodynamic토토 세븐boundary
condition and its associated classic problem of moving contact line will be introduced in토토 세븐some토토 세븐detail.
Here the contact line denotes the intersection of the immiscible fluid-fluid interface with the solid wall,
and when one fluid displaces the other, the contact line moves along토토 세븐the토토 세븐solid토토 세븐wall.토토 세븐 Almost토토 세븐half토토 세븐a
century ago it was already recognized that the moving contact line will lead to infinite viscous dissipation
if one uses the no-slip hydrodynamic boundary condition.토토 세븐We show that by using the Onsager variational
principle, which can be easily derived from basic statistical mechanic principles, one can simultaneously
derive the Navier-Stokes equation토토 세븐and토토 세븐its토토 세븐related토토 세븐boundary토토 세븐conditions토토 세븐at토토 세븐the토토 세븐fluid-solid토토 세븐interface.
The resulting continuum hydrodynamic system, with the revised hydrodynamic토토 세븐boundary토토 세븐conditions,토토 세븐is
shown for the first time to quantitatively reproduce molecular dynamic simulation results at the nanoscale.
Implications of this result for nanoscale hydrodynamics, together with its complementary relation to토토 세븐the
kinetic theory of fluids, will be shown by short movies as well as discussed.
  
Contact Person : Prof. Wokyung Sung(054-279-2061, wsung@postech.ac.kr)
              "
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