Thermal stress vs. thermal transpiration: A competition in thermally driven cavity flows

2015 ◽  
Vol 27 (11) ◽  
pp. 112001 ◽  
Author(s):  
Alireza Mohammadzadeh ◽  
Anirudh Singh Rana ◽  
Henning Struchtrup
Keyword(s):  
Thermal Stress ◽  
Cavity Flows ◽  
Driven Cavity ◽  
Thermal Transpiration ◽  
Thermally Driven

Thermally driven cavity flows in porous media II. The horizontal boundary layer structure

1982 ◽  
Vol 382 (1782) ◽  
pp. 135-154 ◽  
Keyword(s):  
Porous Media ◽  
Boundary Layers ◽  
Layer Structure ◽  
Present Theory ◽  
Cavity Flows ◽  
Driven Cavity ◽  
Double Structure ◽  
Horizontal Boundary ◽  
Thermally Driven ◽  
Entire Flow

An analysis is given of the structure, at high Rayleigh numbers, of thermally driven cavity flows in fluid-saturated porous media. Particular emphasis is placed on the description of the diffusive layers near the horizontal surfaces. Solutions consistent with the core behaviour determined in part I of this series are obtained. These solutions, which are new, indicate that the horizontal boundary layers have a double structure in which the outer layer has a thickness O ( R -¼ ), where R is the Rayleigh number. Corner interactions between the horizontal and the vertical boundary layers are also discussed, and the present theory provides a first-order description of the entire flow field.

Thermally driven cavity flows in porous media I. The vertical boundary layer structure near the corners

1982 ◽  
Vol 380 (1778) ◽  
pp. 119-136 ◽  
Keyword(s):  
Boundary Layer ◽  
Layer Structure ◽  
Saturated Porous Medium ◽  
Cavity Flows ◽  
Driven Cavity ◽  
Boundary Layer Structure ◽  
Boundary Layer Equations ◽  
The Core ◽  
Vertical Boundary ◽  
Thermally Driven

Cavity flows driven by an applied horizontal temperature gradient are considered in the high Rayleigh number limit for a fluid-saturated porous medium. The analysis is concerned with the behaviour of the vertical boundary layer equations near the corners of the cavity. Implications for the structure of the core flow are discussed. The present results, which are new, compare well with a recent numerical solution. Although the results are consistent with the standard hypothesis that the vertical boundary layers empty into the core, they are not in agreement with the corner behaviour previously suggested in the literature. The analysis of the vertical boundary layer structure is also applicable to cavity flows in electrically conducting fluids in the limit when magnetic drag is the dominant force.

scholarly journals Low-Reynolds boundary driven cavity flows in a thin liquid shell

PAMM ◽  
2007 ◽  
Vol 7 (1) ◽  
pp. 4100007-4100008 ◽  
Author(s):  
J. Sznitman ◽  
T. Rösgen
Keyword(s):  
Cavity Flows ◽  
Driven Cavity ◽  
Low Reynolds

Thermally driven cavity flow with Neumann condition for the pressure

2002 ◽  
Vol 40 (1-2) ◽  
pp. 327-336 ◽  
Author(s):  
Obidio Rubio ◽  
Elba Bravo ◽  
Julio R. Claeyssen
Keyword(s):  
Cavity Flow ◽  
Neumann Condition ◽  
Driven Cavity ◽  
Thermally Driven ◽  
Driven Cavity Flow

scholarly journals Stability analysis in spanwise-periodic double-sided lid-driven cavity flows with complex cross-sectional profiles

2011 ◽  
Vol 43 (1) ◽  
pp. 143-153 ◽  
Author(s):  
Javier de Vicente ◽  
Daniel Rodríguez ◽  
Vassilis Theofilis ◽  
Eusebio Valero
Keyword(s):  
Stability Analysis ◽  
Cavity Flows ◽  
Cross Sectional ◽  
Driven Cavity ◽  
Complex Cross

scholarly journals On the Use of Lattice-Boltzmann Model for Simulating Lid-Driven Cavity Flows of Strain-hardening Fluids

2011 ◽  
Vol 38 (4_5) ◽  
pp. 201-207 ◽  
Author(s):  
Mohammad-Mehdi Hedayat ◽  
Mohammad-Hossein Borghei ◽  
Abbas Fakhari ◽  
Kayvan Sadeghy
Keyword(s):  
Strain Hardening ◽  
Lattice Boltzmann ◽  
Lattice Boltzmann Model ◽  
Cavity Flows ◽  
Driven Cavity ◽  
Boltzmann Model

scholarly journals Instabilities and bifurcations in lid-driven cavity flows

PAMM ◽  
2003 ◽  
Vol 3 (1) ◽  
pp. 372-373 ◽  
Author(s):  
Hendrik C. Kuhlmann ◽  
Stefan Albensoeder
Keyword(s):  
Cavity Flows ◽  
Driven Cavity
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