Effect of asymmetry on the steady thermal convection in a vertical torus filled with a porous medium

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POSTELNICU, Adrian ;SCURTU, Nikoleta .
Effect of asymmetry on the steady thermal convection in a vertical torus filled with a porous medium. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 51, n.7-8, p. 501-508, august 2017. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/effect-of-asymmetry-on-the-steady-thermal-convection-in-a-vertical-torus-filled-with-a-porous-medium/>. Date accessed: 29 sep. 2021. 
doi:http://dx.doi.org/.
Postelnicu, A., & Scurtu, N.
(2005).
Effect of asymmetry on the steady thermal convection in a vertical torus filled with a porous medium.
Strojniški vestnik - Journal of Mechanical Engineering, 51(7-8), 501-508.
doi:http://dx.doi.org/
@article{.,
	author = {Adrian  Postelnicu and Nikoleta  Scurtu},
	title = {Effect of asymmetry on the steady thermal convection in a vertical torus filled with a porous medium},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {51},
	number = {7-8},
	year = {2005},
	keywords = {asymmetry; steady thermal convection; vertical torus; porous medium; },
	abstract = {The paper deals with a study on the thermal convection in a fluid saturated porous medium confined in a vertical oriented toroidal loop heated from below and cooled from above, subjected to a vertically uniform temperature gradient. In fact, Sano, O., Journal of the Physical Society of Japan (1987 and 1988) studied such a configuration for clear fluids. We take the steady heat conduction state under a constant vertical temperature gradient (-k) as a fundamental solution. A cylindrical system of co-ordinates (r, , s) is considered for the loop of 2R length and cross sectional diameter 2a, where the ratio a/R is assumed to be very small. We expand all quantities in terms of double Fourier series in and , where = s/R. First-order perturbed fields from steady heat conduction state are examined and various plots are given: isotherms in ring and meridian plane, stream lines and velocities. Finally, an attempt is made in order to identify other fundamental solutions: S-type (cellular thermal convection) and A-types (coaxial flow, bidirectional flow and antisymmetric cellular flow). I},
	issn = {0039-2480},	pages = {501-508},	doi = {},
	url = {https://www.sv-jme.eu/article/effect-of-asymmetry-on-the-steady-thermal-convection-in-a-vertical-torus-filled-with-a-porous-medium/}
}
Postelnicu, A.,Scurtu, N.
2005 August 51. Effect of asymmetry on the steady thermal convection in a vertical torus filled with a porous medium. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 51:7-8
%A Postelnicu, Adrian 
%A Scurtu, Nikoleta 
%D 2005
%T Effect of asymmetry on the steady thermal convection in a vertical torus filled with a porous medium
%B 2005
%9 asymmetry; steady thermal convection; vertical torus; porous medium; 
%! Effect of asymmetry on the steady thermal convection in a vertical torus filled with a porous medium
%K asymmetry; steady thermal convection; vertical torus; porous medium; 
%X The paper deals with a study on the thermal convection in a fluid saturated porous medium confined in a vertical oriented toroidal loop heated from below and cooled from above, subjected to a vertically uniform temperature gradient. In fact, Sano, O., Journal of the Physical Society of Japan (1987 and 1988) studied such a configuration for clear fluids. We take the steady heat conduction state under a constant vertical temperature gradient (-k) as a fundamental solution. A cylindrical system of co-ordinates (r, , s) is considered for the loop of 2R length and cross sectional diameter 2a, where the ratio a/R is assumed to be very small. We expand all quantities in terms of double Fourier series in and , where = s/R. First-order perturbed fields from steady heat conduction state are examined and various plots are given: isotherms in ring and meridian plane, stream lines and velocities. Finally, an attempt is made in order to identify other fundamental solutions: S-type (cellular thermal convection) and A-types (coaxial flow, bidirectional flow and antisymmetric cellular flow). I
%U https://www.sv-jme.eu/article/effect-of-asymmetry-on-the-steady-thermal-convection-in-a-vertical-torus-filled-with-a-porous-medium/
%0 Journal Article
%R 
%& 501
%P 8
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 51
%N 7-8
%@ 0039-2480
%8 2017-08-18
%7 2017-08-18
Postelnicu, Adrian, & Nikoleta  Scurtu.
"Effect of asymmetry on the steady thermal convection in a vertical torus filled with a porous medium." Strojniški vestnik - Journal of Mechanical Engineering [Online], 51.7-8 (2005): 501-508. Web.  29 Sep. 2021
TY  - JOUR
AU  - Postelnicu, Adrian 
AU  - Scurtu, Nikoleta 
PY  - 2005
TI  - Effect of asymmetry on the steady thermal convection in a vertical torus filled with a porous medium
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - asymmetry; steady thermal convection; vertical torus; porous medium; 
N2  - The paper deals with a study on the thermal convection in a fluid saturated porous medium confined in a vertical oriented toroidal loop heated from below and cooled from above, subjected to a vertically uniform temperature gradient. In fact, Sano, O., Journal of the Physical Society of Japan (1987 and 1988) studied such a configuration for clear fluids. We take the steady heat conduction state under a constant vertical temperature gradient (-k) as a fundamental solution. A cylindrical system of co-ordinates (r, , s) is considered for the loop of 2R length and cross sectional diameter 2a, where the ratio a/R is assumed to be very small. We expand all quantities in terms of double Fourier series in and , where = s/R. First-order perturbed fields from steady heat conduction state are examined and various plots are given: isotherms in ring and meridian plane, stream lines and velocities. Finally, an attempt is made in order to identify other fundamental solutions: S-type (cellular thermal convection) and A-types (coaxial flow, bidirectional flow and antisymmetric cellular flow). I
UR  - https://www.sv-jme.eu/article/effect-of-asymmetry-on-the-steady-thermal-convection-in-a-vertical-torus-filled-with-a-porous-medium/
@article{{}{.},
	author = {Postelnicu, A., Scurtu, N.},
	title = {Effect of asymmetry on the steady thermal convection in a vertical torus filled with a porous medium},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {51},
	number = {7-8},
	year = {2005},
	doi = {},
	url = {https://www.sv-jme.eu/article/effect-of-asymmetry-on-the-steady-thermal-convection-in-a-vertical-torus-filled-with-a-porous-medium/}
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TY  - JOUR
AU  - Postelnicu, Adrian 
AU  - Scurtu, Nikoleta 
PY  - 2017/08/18
TI  - Effect of asymmetry on the steady thermal convection in a vertical torus filled with a porous medium
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 51, No 7-8 (2005): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - asymmetry, steady thermal convection, vertical torus, porous medium, 
N2  - The paper deals with a study on the thermal convection in a fluid saturated porous medium confined in a vertical oriented toroidal loop heated from below and cooled from above, subjected to a vertically uniform temperature gradient. In fact, Sano, O., Journal of the Physical Society of Japan (1987 and 1988) studied such a configuration for clear fluids. We take the steady heat conduction state under a constant vertical temperature gradient (-k) as a fundamental solution. A cylindrical system of co-ordinates (r, , s) is considered for the loop of 2R length and cross sectional diameter 2a, where the ratio a/R is assumed to be very small. We expand all quantities in terms of double Fourier series in and , where = s/R. First-order perturbed fields from steady heat conduction state are examined and various plots are given: isotherms in ring and meridian plane, stream lines and velocities. Finally, an attempt is made in order to identify other fundamental solutions: S-type (cellular thermal convection) and A-types (coaxial flow, bidirectional flow and antisymmetric cellular flow). I
UR  - https://www.sv-jme.eu/article/effect-of-asymmetry-on-the-steady-thermal-convection-in-a-vertical-torus-filled-with-a-porous-medium/
Postelnicu, Adrian, AND Scurtu, Nikoleta.
"Effect of asymmetry on the steady thermal convection in a vertical torus filled with a porous medium" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 51 Number 7-8 (18 August 2017)

Authors

Affiliations

  • Transilvania University, Romania
  • Weierstrass-Institute for Applied Analysis and Stochastic (WIAS), Berlin, Germany

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 51(2005)7-8, 501-508

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

asymmetry; steady thermal convection; vertical torus; porous medium;