Pressure change while entering taper of nozzle

[Swamp Thing]

Assuming incompressible uniform streamlined flow, with fluid flowing from a wide tube into a tapering section then on into a narrow section... Would the be a little kink in the pressure at the junction of the tubes and the taper? Each flow line is accelerating towards the central line, so one may expect that the walls would have to press inwards to bend the flow lines? Of course, in the linear part of the taper the pressure would decrease steadily a la Bernoulli. - so my question is just about the actual transition from constant diameter to the taper.

 

[gtoguy97]

In general, there should be a small kink in the pressure at the junction of the tubes and the taper. This is due to the fact that when the flow enters the taper, its speed increases and the pressure decreases, resulting in a small decrease in pressure. However, since the flow is incompressible, the pressure remains constant in the linear part of the taper.