By G. Alan Turner
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Extra info for Heat and Concentration Waves. Analysis and Application
U2 The source is at z = 0, which divides region 1 from region 2: values of the parameters U and D will be identified by corresponding subscripts. £. 21). Their evaluation then follows the same lines. It is to be noticed that in contrast to the instantaneous source (to be discussed next), the concentration in the case of a continuous source does not tend to infinity for t —+ 0, z —> 0. 5 An Instantaneous Plane Source in a Moving Medium Consideration of the instantaneous plane source in a moving medium has been deferred, and so out of its logical order, because it has taken on an importance such that the remainder of this chapter as well as subsequent chapters are devoted to it.
Hardy ) and it is this absolute value which has to 08l·v ^ ^ v I Γ 06k I ^^^ ^S. 6 i fr Fig. 1. 31)]. Curve A: <2pi/*1/2 = (4Z>01/2 = 1. Curve B: Value °f D increased by 10%. 8 35 3 The Ideal Impulse in One-Dimensional Flow be gauged, often by eye. Furthermore, the experimental curve itself is often inaccurate at these large values of Z, because of the difficulties of measure ment. 1. At Z = 0 both the relative and absolute changes in Av are large. It is best therefore to deal with the region from Z = 0 to Z = ±2(2tD)1/2 if possible.
4. 8) the dimensionless distance ( = 1/0)]. 6 \ Γ» ■ t . oooi I v 56-4 000014 ' ' . 2 L—— = = = · : 0-90 1 YvC yJr 1N , ^ 0-95 100 ΙΌ5 MO Fig. 3. Effect of value of Peclet number on Dirac impulse (large values of Peclet number). 5 S~ / V r- ' /— / \/ 0-5 0 rf. 0 - Fig. 4. Effect of value of Peclet number on Dirac impulse (small values of Peclet number). ) The dimensionless concentration v is the ratio of the actual concentration at z to what it would be if the amount in the instantaneous source were distributed uniformly in a volume of unit cross-sectional area and of length z.