23 Dec-2021
1-A)
Bernoulli's Equation for Static Fluids
P1 + ρgh1 = P2 + ρgh2. This equation tells us that, in static fluids, pressure increases with depth.
1-B) The Bernoulli equation is an important expression relating pressure, height and velocity of a fluid at one point along its flow. The relationship between these fluid conditions along a streamline always equal the same constant along that streamline in an idealized system.
1-C) The Bernoulli equation can be derived by integrating Newton's 2nd law along a streamline with gravitational and pressure forces as the only forces acting on a fluid element.
1-D) In fluid dynamics, Bernoulli's principle states that an increase in the speed of a fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid's potential energy. The principle is named after Daniel Bernoulli, a swiss mathemetician, who published it in 1738 in his book Hydrodynamics.
1-E) Daniel Bernoulli was a Dutch mathematician and physicist known for his contributions in fluid mechanics, hydrodynamics, and kinetic theory of gases. Aside from physics, Bernoulli also excelled in medicine, mechanics, astronomy, physiology, and oceanography.
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