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Numerical solution of radiation view factors within a thermoelectric device.pdf
Energy 102 (2016) 427e435
Contents lists available at ScienceDirect
Energy
journal homepage: /locate/energy
Numerical solution of radiation view factors within a thermoelectric device
Matthew Barry a, Justin Ying b, Michael J. Durka a, Corey E. Clifford c, B.V.K. Reddy a, Minking K. Chyu a, *
a Department of Mechanical Engineering and Materials Science, University of Pittsburgh, Pittsburgh, PA 15213, USA b Department of Computer Engineering, University of Pittsburgh, Pittsburgh, PA 15213, USA c Department of Nuclear Engineering, Texas AM University, College Station, TX 77840, USA
article info
Article history: Received 16 September 2015 Received in revised form 19 January 2016 Accepted 14 February 2016 Available online 12 March 2016
Keywords: Thermoelectric device Radiation view factor HPC
abstract
The geometry of a TED (thermoelectric device) is three-dimensional and is dependent upon device functionality and the thermoelectric material used within. To properly design and model a TED, radiation heat transfer should be resolved within the cavity, especially at high operating temperatures. Radiation heat transfer is often ignored or over-simpli?ed due to the computationally intensive process of resolving the radiation view factor Fij within a particular geometry. This study utilizes hybrid CPU-GPU highperformance computing to numerically resolve Fij between the interior hot- and cold-side ceramic plates within a unit cell TED, taking into account the shadow effect contributions of interconnectors and thermoelectric material legs through a point-in-polygon algorithm. To provide values of Fij for a variety of
potential design applications, the packing density q was varied between 0.1 and 0.9, the height to width
ratio of the thermoelectric elements was varied between 0.5 and 1.75 and top and bottom interconnector
thicknesses were varied between 0.125 and 0.25 mm. Results indicate Fij behaves non-linearly with q exhibiting exponential decay with an increase in q. Increas
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