Effect of asymmetry on the steady thermal convection on a vertical torus filled with a porous medium
Adrian, Postelnicu (Author), Nicoleta, Scurtu (Author)

URLURL - Presentation file, Visit http://www.dlib.si/details/URN:NBN:SI:doc-C42GRUT0 New window

The paper deals with a study on the thermal convection in a fluid saturated porous medium confined in a vertical oriented toroidalloop heated from below and cooled from above, subjected to a vertically uniform temperature gradient.In fact, Sano, O., Journal ofthe Physical Society of Japan (1987 and 1988) studied such a configuration for clear fluids. We take the steady heat conduction stateunder a constant vertical temperature gradient (-k) as a fundamental solution. A cylindrical system of co-ordinates (r, f, s) is considered for the loop of 2pR length and cross sectional diameter 2a, where the ratio a/R is assumed to be very small. We expand allquantities in terms ofdouble Fourier series in f and q, where q = s/R. First-order perturbed fields from steady heat conduction stateare examined and various plots are given: isotherms in ring and meridian plane, stream lines and velocities. Finally, an attempt ismade in order to identify other fundamental solutions: S-type (cellular thermal convection) and A-types (coaxial flow, bidirectional flow and antisymmetric cellular flow).

Keywords:thermal convection, fluid flow, porous medium, mathematical formulation
Work type:Not categorized (r6)
Tipology:1.01 - Original Scientific Article
Organization:FS - Faculty of Mechanical Engineering
Publisher:Association of Mechanical Engineers and Technicians of Slovenia et al.
Number of pages:Str. 501-508
Numbering:Letn. 51, št. 7/8
ISSN on article:0039-2480
COBISS.SI-ID:8677659 Link is opened in a new window
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Record is a part of a journal

Title:Strojniški vestnik
Shortened title:Stroj. vestn.
Publisher:Zveza strojnih inženirjev in tehnikov Slovenije [et al.], = Association of Mechanical Engineers and Technicians of Slovenia [et al.]
COBISS.SI-ID:762116 New window

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