Open AccessThe use of fractional calculus for the optimal placement of electronic components on a linear array
Author(s) -
G. De Mey,
M. Felczak
Publication year - 2015
Publication title -
facta universitatis. series electronics and energetics/facta universitatis. series: electronics and energetics
Language(s) - English
Resource type - Journals
eISSN - 2217-5997
pISSN - 0353-3670
DOI - 10.2298/fuee1501077m
Subject(s) - component (thermodynamics) , simple (philosophy) , fractional calculus , function (biology) , power (physics) , convection , calculus (dental) , mathematics , mechanics , mathematical analysis , physics , thermodynamics , medicine , philosophy , biology , dentistry , epistemology , evolutionary biology
Cooling of heat dissipating components has become an important topic in the last decades. Sometimes a simple solution is possible, such as placing the critical component closer to the fan outlet. On the other hand this component will heat the air which has to cool the other components further away from the fan outlet. If a substrate bearing a one dimensional array of heat dissipating components, is cooled by forced convection only, an integral equation relating temperature and power is obtained. The forced convection will be modelled by a simple analytical wake function. It will be demonstrated that the integral equation can be solved analytically using fractional calculus.