Bernoulli's equation only yields perfect predictions if the following conditions exist:
1. The liquid is inviscid; that is, it has no viscosity, and offers no frictional resistance to movement through it. (In other words, not like honey. More like alcohol, although even alcohol has some viscosity.)
2. Steady flow; that is, no turbulence. The smoke rising from a candle is non-turbulent for a few inches; that is, it rises in a straight, thin column. After that, the flow becomes turbulent, breaking into swirls and eddies. (The transition from non-turbulent to turbulent flow is governed by a physical constant known as the Reynolds Number. In this day of spaceflight and supercomputers, the physical bases of the Reynolds Number are still unknown.)
3. Incompressibility; that is, the fluid is like water, and not like air.
4. No heat is gained or lost by the fluid during the process being analyzed.
5. The process involves a negligible change in height, implying constant potential energy due to gravitation.
How realistic are these conditions, under various circumstances? Give examples. When, where, and why would anybody pay any attention to Bernoulli's Law?© BrainMass Inc. brainmass.com October 25, 2018, 6:27 am ad1c9bdddf
Considering all these conditions are ideal, it is impossible to satisfy them at any instant in time! However, for many real situations where the conditions are ...
The solution provides explanations when where and why Bernoulli's loaw is applied in the real situations.
Find the time needed to pump out half the water in a water tank.
The tank is filled with water to a height h, meters, so you decide to empty it by letting the water flow steadily from an opening at the side of the tank, located near the bottom. The cross-sectional area of the tank is A1 square meters, while that of the opening is A2 square meters. How much time it would take to pump out half the water.View Full Posting Details