Simple formulas to predict center and mean temperatures and total heat transfer in regular configurations with surface temperature under small- and large-time conditions

Antonio Campo, Yunesky Masip Macía

Research output: Contribution to journalArticlepeer-review

Abstract

Simple formulas for the prediction of three important thermal quantities, the center temperature, the mean temperature, and the total heat transfer in regular configurations (large plane wall, long cylinder, and sphere) cooled/heated with prescribed uniform surface temperature during "small time," are addressed in the present paper. Two immediate engineering applications deal with quenching of metals and sterilization of canned food. The simple formulas emanate from the truncated one term series of the supplementary infinite series at small time. The small time subregion has been traditionally characterized in the heat conduction literature by the dimensionless time or Fourier number s < 0.24 in the large plane wall, s < 0.21 in the long cylinder, and s < 0.19 in the sphere. Excellent agreement between the obtained simple formulas and the traditional solutions (namely the exact, analytical infinite series for "all time") are attained for the center temperature, mean temperature, and total heat transfer in the large plane wall, long cylinder, and sphere.

Original languageEnglish
Article number034503
JournalJournal of Thermal Science and Engineering Applications
Volume11
Issue number3
DOIs
StatePublished - 1 Jun 2019
Externally publishedYes

Keywords

  • Long cylinder
  • One term series at small time
  • Regular configurations (large plane wall
  • Simple formulas for the center and mean temperatures and total heat transfer at small time
  • Sphere)
  • Supplementary infinite series at small time
  • Unsteady one-dimensional heat conduction

Fingerprint

Dive into the research topics of 'Simple formulas to predict center and mean temperatures and total heat transfer in regular configurations with surface temperature under small- and large-time conditions'. Together they form a unique fingerprint.

Cite this