By Robert Dalmasso
Gasquet C., Witomski P. examine de Fourier et purposes (Dunod, )(fr)(ISBN 2100050176)(C)(366s)
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Extra info for Analyse de Fourier et applications: exercices corrigés
4] C. A. " Oliver & Boyd, Edinburgh, 1947.  O. Levenspiel and K. B. Bischoff, Patterns of Flow in Chemical Process Vessels. "Advances in Chemical Engineering," Vol. 4. Academic Press, New York, 1963. 1 INTRODUCTION This chapter describes the effect of introducing either an impulse or a steady source into a stream of uniform velocity. This source may be at a point, along a line, or over an area; in the first two cases the concentration that results will be a function of three spatial dimensions, and although not widely used experimentally, the consideration of point and line sources leads logically to the frequently employed plane source.
5. Effect of value of Peclet number on concentrations at peak and at Θ = 1 (degen erate impulse). 5 shows how these values of vpeak vary as Pe varies. 9), getting [v(Pe)l·-! 5) will be at te=l9 so U = L/t$=l. The time te=1 is the same as tU2, to be discussed in the next section. , a part of the concentration-time record that covers the peak), we now turn to consider values of a time that has to be found by a lengthier process. The first—considered in this section—is that time that divides the total area under the v versus t curve into exact halves.
It is left as an exercise to apply the argu ment of the beginning of this section to such a situation. It will be found that the variation at fixed z is still sinusoidal with time but the amplitude is not a simple harmonic function of distance. REFERENCES  M. J. Lighthill, and G. B. Whitham, On Kinematic Waves I. Flood Movement in Long Rivers. Proc. Roy. Soc. (London) 229A, 281-316 (1955).  O. " Wiley, New York, 1971.  R. K. " McGraw-Hill, New York, 1960.  C. A. " Oliver & Boyd, Edinburgh, 1947.
Analyse de Fourier et applications: exercices corrigés by Robert Dalmasso