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Self-organization of the internal flow geometry in convective heat transfer

Publication ,  Journal Article
Nelson, RA; Bejan, A
Published in: American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD
December 1, 1998

In this paper, "constructal theory" is used to predict the formation of geometric shape and structure in finite-size fluid systems subjected to heating from below. Two classes of systems are considered: (1) single-phase fluid layers and (2) fully developed saturated pool nucleate boiling. In the first system, the minimization of thermal resistance across the layer accounts for the appearance of organized macroscopic motion (streams) on the background of disorganized motion (diffusion). By optimizing the shape of the flow, it is possible to predict analytically the main structural and heat-transfer characteristics of the system. The convective regime emerges as the result of a process of geometric optimization of heat flow path in which diffusion is assigned to length scales smaller than the smallest macroscopic flow element. When the system is constrained (e.g., by the distribution of nucleation sites in nucleate boiling), the optimization of flow geometry may not lead to a steady or steady-periodic flow. Nevertheless, the principle of geometric optimization of paths for imposed currents constitutes a deterministic approach to the self-organization of the macroscopic state of the finite-size system: the mechanism and the structure, with streams and diffusion combined.

Duke Scholars

Published In

American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD

ISSN

0272-5673

Publication Date

December 1, 1998

Volume

357

Issue

3

Start / End Page

149 / 157

Related Subject Headings

  • Mechanical Engineering & Transports
 

Citation

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Nelson, R. A., & Bejan, A. (1998). Self-organization of the internal flow geometry in convective heat transfer. American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD, 357(3), 149–157.
Nelson, R. A., and A. Bejan. “Self-organization of the internal flow geometry in convective heat transfer.” American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD 357, no. 3 (December 1, 1998): 149–57.
Nelson RA, Bejan A. Self-organization of the internal flow geometry in convective heat transfer. American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD. 1998 Dec 1;357(3):149–57.
Nelson, R. A., and A. Bejan. “Self-organization of the internal flow geometry in convective heat transfer.” American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD, vol. 357, no. 3, Dec. 1998, pp. 149–57.
Nelson RA, Bejan A. Self-organization of the internal flow geometry in convective heat transfer. American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD. 1998 Dec 1;357(3):149–157.

Published In

American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD

ISSN

0272-5673

Publication Date

December 1, 1998

Volume

357

Issue

3

Start / End Page

149 / 157

Related Subject Headings

  • Mechanical Engineering & Transports