A spreadsheet solution of transient conduction in composite fins

Abstract

SUMMARYTransient heat transfer through composite "ns is investigated by numerical methods. In this regard, governing di!erential equations of the two-dimensional "n and one-dimensional cladding are studied to examine the e!ect of Biot number and ratio of thermal conductivities of the "n material to the cladding, on the dimensionless temperature pro"les. In addition, the use of spreadsheet programs in solving the composite "n problems is investigated in somewhat more detail with regard to the solution as well as presentation of the graphical results. The results show that one-dimensional analysis, traditionally used in "n analysis, is not applicable for composite "ns, particularly when the conductivity ratio of the composite "n materials is very high.

Fabrication of Composite Heat Sinks Consisting of a Thin Metallic Skin and a Polymer Core Using Wire-Arc Spraying

“…Most studies on composite fins have assumed the fins to be rectangular. There is, in addition, a significant body of literature on heat conduction in annular fins, with both one-dimensional and two-dimensional models proposed [20], [21], [22], [23] and [24]. The 'thermal length', which combines the physical properties and dimensions of the fin has been used to characterize fin designs.…”

On the Use of Spreadsheets in Heat Conduction Analysis

“…al. [5,6] introduced the use of spreadsheets in solving 2dimensional heat conduction problems in their analysis of the heat transfer in composite fins.…”

“…The disadvantage of this technique is that it requires a large space and consequently a large storage capacity. On the other hand, the second technique (that has been introduced for the first time by Mokheimer et al [6]) does not require any more space than the first two lines (the intial conditions and the solution lines). The idea behind this technique is to update the initial conditions after getting the solution at the first time step.…”