Wall-attached structures over a traveling wavy boundary: Scalar transport

2021 ◽  
Vol 33 (10) ◽  
pp. 105115
Author(s):  
Li-Hao Wang ◽  
Guo-Zhen Ma ◽  
Chun-Xiao Xu ◽  
Hyung Jin Sung ◽  
Wei-Xi Huang
Keyword(s):  
Scalar Transport ◽  
Wavy Boundary

Effects of the spanwise heterogeneity of a three-dimensional wavy wall on momentum and scalar transport

2021 ◽  
Vol 33 (5) ◽  
pp. 055116
Author(s):  
Enwei Zhang ◽  
Xiaoliang Wang ◽  
Qingquan Liu
Keyword(s):  
Three Dimensional ◽  
Scalar Transport ◽  
Wavy Wall

scholarly journals Roughness effects on scalar transport

2020 ◽  
Vol 5 (11) ◽  
Author(s):  
Zvi Hantsis ◽  
Ugo Piomelli
Keyword(s):  
Scalar Transport ◽  
Roughness Effects

Macroscopic description of arbitrary Knudsen number flow using Boltzmann–BGK kinetic theory. Part 2

2010 ◽  
Vol 658 ◽  
pp. 294-309 ◽  
Author(s):  
HUDONG CHEN ◽  
STEVEN A. ORSZAG ◽  
ILYA STAROSELSKY
Keyword(s):  
Relaxation Time ◽  
Kinetic Theory ◽  
Closed Form ◽  
Knudsen Number ◽  
Constitutive Models ◽  
Spatial Dimension ◽  
Scalar Transport ◽  
Constant Relaxation Time ◽  
Number Flow ◽  
Short Times

We extend our previous analysis of closed-form equations for finite Knudsen number flow and scalar transport that result from the Boltzmann–Bhatnagar–Gross–Krook (BGK) kinetic theory with constant relaxation time. Without approximation, we obtain closed-form equations for arbitrary spatial dimension and flow directionality which are local differential equations in space and integral equations in time. These equations are further simplified for incompressible flow and scalars. The particular case of no-flow scalar transport admits analytical solutions that exhibit ballistic behaviour at short times while behaving diffusively at long times. It is noteworthy that, even with constant relaxation time BGK microphysics, quite complex macroscopic descriptions result that would be difficult to obtain using classical constitutive models or continuum averaging.

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