Modeling of heat conduction in elliptical cross section: I. Development and testing of the model


ERDOĞDU F., Balaban M., Chau K.

JOURNAL OF FOOD ENGINEERING, cilt.38, sa.2, ss.223-239, 1998 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 2
  • Basım Tarihi: 1998
  • Doi Numarası: 10.1016/s0260-8774(98)00100-9
  • Dergi Adı: JOURNAL OF FOOD ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.223-239
  • Ankara Üniversitesi Adresli: Hayır

Özet

A finite difference procedure for heat conduction in elliptical cylinders using heat flow lines was developed. This method reduces the elliptical heat transfer problem from 3 to 2-dimensional for finite length, and from 2 to 1-dimensional for infinite length. Temperature predictions were very close to experimental results. Conditions in which elliptical cross section can be approximated by circular cross-section were determined. For this, an equal cross-sectional area, and an equal surface area-to-volume ratio of the elliptical and circular cross sections were considered. The equal circular cross-sectional area approach closely predicted the center temperature only at low ellipse eccentricities (e<0.7). Equal surface area-to-volume ratio approach resulted in good predictions even at high eccentricities (e less than or equal to 0.9). (C) 1998 Elsevier Science Limited. All rights reserved.