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Heat Transfer Research
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Heat Transfer Research

DOI: 10.1615/HeatTransRes.v40.i8.10
pages 717-727

Incremental Heat Conduction Versus Mass Reduction in Large Corrugated Walls Derived from a Large Plane Wall

Antonio Campo
Department of Mechanical Engineering, The University of Vermont, Burlington, VT 05405, USA
Justin E. Robbins
Department of Mechanical Engineering, The University of Vermont, Burlington, VT 05405, USA

ABSTRACT

A conventional large plane wall of thickness H is equivalent to a cluster of stackable square modules of side H with a hot left side, a cold right side, and insulated top and bottom sides (or planes of symmetry). When the two vertical sides of a primary square module are bent inward symmetrically, various kinds of scalloped modules (inscribed in the square module) could be formed depending upon the levels of curvature. Correspondingly, a collection of large corrugated walls can be built consisting of stackable scalloped modules. The heat conduction across any secondary scalloped module is intrinsically two-dimensional, in contrast to the heat conduction across a primary square module that is one-dimensional. As a "proof-of-concept", the governing heat conduction equation in two dimensions is solved numerically with the Finite Element Method under the COMSOL platform for three pre-selected derived modules with different degrees of scallopness. The heat conduction enhancement of the three scalloped modules is contrasted against the basic square module, taking into account concurrently the beneficial mass reduction.

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