Discussion
A doublet is the resulting flow pattern when a sink and a source of equal strength are brought together.
Which one of the following options correctly represents the nature of the product of the strength and the distance between them during approach?
Answer: A
The product remains always constant.
A doublet is the limit of a source and a sink of strength \(m\) a distance \(a\) apart as \(a \to 0\). If \(m\) stayed fixed, the two would simply cancel. To keep a finite flow pattern, the strength is increased as the distance shrinks so that the product \(m a\), the doublet strength, is held constant throughout the approach.
A decreasing product would make the pattern vanish, an increasing one would make it blow up, and 'first increases and then decreases' does not describe any limiting process used to define the doublet.
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