By A. J. Ede
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Extra resources for An Introduction to Heat Transfer Principles and Calculations
The nitrogen can be ignored; the effective emissivities of the carbon dioxide and steam are obtained from the appropriate charts, as just indicated, having regard to the tem peratures, path lengths and partial pressures, and are added to give a total effective emissivity. Corrections may be necessary to take account of interference between the carbon dioxide and the steam, and again if the total pressure differs considerably from atmospheric. It will be appreciated that the amount of basic data needed for calculating radiation in absorbent gases is considerable, and cannot be presented in a small book.
This must equal the rate at which heat is being conducted away from the surface into the interior of the slab, so that the temperature gradient at the surface must be —(h/k)(60 — eA). If a point O be marked on the diagram (Fig. 6) so that its height corresponds to θ0 and its distance from the surface is k/h, a line joining O to A will have the required slope, wherever A may be. , except that its position remains fixed. A variety of slightly different techniques will be found in the text books for dealing with cases where the distance k/h exceeds a/2 or a.
A fuller account is given in Ref. 19. THE ELECTRICAL ANALOGUE Another technique is the use of an electrical analogue. The body is simulated by a sheet of electrically conducting material of the same shape. Temperature is represented by potential, heat flow by current, and thermal conductivity by electrical conductivity. The electrically conducting material may be an electrolytic solution in a tray, or a conducting paper such as Teledeltos, or a sheet of highresistance metal foil. The isothermal boundaries are represented by conductors of the appropriate shape maintained at appropriate potentials, and the internal potential distribution is determined by means of a probe and voltmeter.