If the area of flow tends to zero why not velocity become infinite
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In other words, if area is zero, no flow could take place, so velocity too must become zero. On the other hand, if fluid flow velocity is zero, the flow rate must obviously be zero, irrespective of pipe internal diameter or cross-sectional area! Here too, you do not get any constant/s!
Nope. For a given pipe, A*V=constant. If any part of the pipe has a cross section of zero, then A and V are both zero for that system, and the constant is also zero.
You have to have non-zero A and V to have a positive constant.
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