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ANALYTICAL SOLUTIONS OF SINGULARITIES MOVING WITH AN ARBITRARY PATH WHEN TWO FLUIDS ARE PRESENT

何友声  鲁传敬  陈学农  
【摘要】:正 The derivations are carried out for the velocity potentials of singularities moving withan arbitrary path either in the upper fluid or in the lower fluid with or without a horizontalbottom when two fluids are present.In such a case,the pressure distribution is no longerequal to a constant or zero at the free interface.Taking the influence of an upper fluid uponthe lower fluid into consideration,a series of fundamental solutions in closed forms arepresented in this paper.

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