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Mechanics

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The smoke particles shown in the flow photographs serve to mark the trajectory followed by the fluid elements. At any given instant, the speed of the element is tangential to the "streamline" shown by the smoke trail. This is illustrated in the top diagram.

No fluid elements in the flow cross a streamline and a group of such streamlines can form a streamtube as shown in the lower diagram. The area of cross-section, A, of this tube will change with location in the flow, however, the total quantity of fluid crossing any cross-section in unit time remains constant. This implies that the velocity of the flow must change if the fluid is incompressible.

The fluid elements must obey Newton's laws of motion, and valuable insights can be gained as to how they move in the fluid by using these ideas and energy conservation concepts.

From: Wegener, "What Makes Airplanes Fly?" Springer-Verlag (1991)

From: Smits, "A Physical Introduction to Fluid Mechanics," Wiley (1999) in the press