An analytical solution, which describes the temperature field around a single spherical particle partly embedded in a plane or around a trough making an arbitrary contact angle with a plane, is presented here. The temperature distributions for three cases are studied: the temperature distribution around a conducting bowl or trough, the temperature distribution around a non-conducting bowl or trough present in a conducting plane, and the temperature profile around a conducting bowl or trough conducting heat toward a sink at infinity. The normalized heat flux distribution on the plane and particle is presented. The various incremental resistances caused by a single and a dilute planar random array of truncated spherical particles are also derived.
Skip Nav Destination
Article navigation
Research Papers
The Temperature Field Around a Spherical Ridge or Trough in a Plane
J. Fransaer,
J. Fransaer
Department of Metallurgy and Materials Engineering, Katholieke Universiteit Leuven, B-3001 Heverlee, Belgium
Search for other works by this author on:
J. R. Roos
J. R. Roos
Department of Metallurgy and Materials Engineering, Katholieke Universiteit Leuven, B-3001 Heverlee, Belgium
Search for other works by this author on:
J. Fransaer
Department of Metallurgy and Materials Engineering, Katholieke Universiteit Leuven, B-3001 Heverlee, Belgium
J. R. Roos
Department of Metallurgy and Materials Engineering, Katholieke Universiteit Leuven, B-3001 Heverlee, Belgium
J. Heat Transfer. May 1992, 114(2): 317-325 (9 pages)
Published Online: May 1, 1992
Article history
Received:
December 1, 1990
Revised:
October 1, 1991
Online:
May 23, 2008
Citation
Fransaer, J., and Roos, J. R. (May 1, 1992). "The Temperature Field Around a Spherical Ridge or Trough in a Plane." ASME. J. Heat Transfer. May 1992; 114(2): 317–325. https://doi.org/10.1115/1.2911278
Download citation file:
Get Email Alerts
Cited By
Entropic Analysis of the Maximum Output Power of Thermoradiative Cells
J. Heat Mass Transfer
Molecular Dynamics Simulations in Nanoscale Heat Transfer: A Mini Review
J. Heat Mass Transfer
Related Articles
The Temperature Distribution Around a Spherical Particle on a Planar Surface
J. Heat Transfer (August,1990)
An Analytical Solution and Sensitivity Study of Sublimation-Dehydration Within a Porous Medium With Volumetric Heating
J. Heat Transfer (August,1994)
Related Proceedings Papers
Related Chapters
Baking Pizza by Infrared Radiation and Conduction Heat Transfers and Mass Transfer in Unsteady State
Electromagnetic Waves and Heat Transfer: Sensitivites to Governing Variables in Everyday Life
Introduction
Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow
Sensitivity of a Coupled Heat and Mass Transfer Model for Unsaturated Soils
International Conference on Mechanical and Electrical Technology, 3rd, (ICMET-China 2011), Volumes 1–3