By F. H. Busse, R. M. Clever (auth.), H. K. Kuiken, S. W. Rienstra (eds.)
This publication comprises contributions through 16 editors of a unmarried magazine specialized in real-world purposes of arithmetic, relatively in engineering. those papers serve to point that employing arithmetic could be a very fascinating and intellectually profitable job. one of the utilized fields we observe Thermal and Marangoni convection. High-pressure gas-discharge lamps, strength circulation in a channel, skinny airfoil difficulties, Cooling of a fibre, Moving-contact-line difficulties, Spot disturbance in boundary layers, Fibre-reinforced composites, Numerics of nonuniform grids, Stewartson layers on a rotating disk, Causality and the radiation , Nonlinear elastic membranes, Acoustics in bubbly beverages, Oscillation of a floating physique in a viscous fluid, Electromagnetics of superconducting composites. utilized mathematicians, theoretical physicists and engineers will discover a lot during this booklet that would be of curiosity to them.
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Ero-gravity conditions. Appi. SCI. Hes. (to appear). 9. J. W. M. 1ion l'(\uod a ventilated air bubble under microgravity conditions. submittell It) Chell'!. I. 10. H. Lichtenbelt. 1 under microgravity conditions. Adv. Space Res. 5 (1986) 97-100. 11. H. H. A. ion and R1llliS transfer from the liquid to the gas phase. Naturwissenschaften 73 (1986) 356-3;9. 12. D. Myshkis. G. Babskii. D. Kopachevskii. A. ' T~'1·pto;tlv. Low-gravity Fluid Mechanics. Springer Verlag, Berlin/New York (191<7). 13. A. Nield, Surface tension and buoyancy effect!.
Sprin:":r :;~·ric:. -s. Springer Verlag. Berlin/New York (1983). Journal of Engineering Mathematics 26: 39-50,1992. K. W. Rienstra (eds), Problems in Applied, Industrial and Engineering Mathematics. © 1992 Kluwer Academic Publishers. K. KUIKEN Philips Research Laboratories, P. O. 000, 5600 fA Eindhoven, The Netherlands Abstract. A singular perturbation technique is used to describe the temperature profile in a wall-stabilized high-pressure gas-discharge arc in the limit of extremely high radiation efficiency.
12) For the definition of H we refer to either [8] or [9]. This parameter is related to the current I and is therefore unknown. It grows exponentially with T;. It is emphasized that for Z = 0(1) the coordinate R is much less than unity. The parameter g is related to the radiation efficiency of the arc. It can assume values in the interval (13) Further, we have (14) so that in view of (5) 11 is always less than 2. In this paper we shall only consider values of 11 in the interval 1<11<2. (15) Boundary conditions at Z = 0 are easily obtained from (6) and the requirement that t = tr at r=O: dQ dZ = 0 at Z = o.