Bernoulli's principle was an early formulation of the subsequent idea ofthe conservation of energy?. ... From the principle of conservation of energy, it may be asserted that the total energy is not changed during the displacement. This statement is known as Bernoulli's theorem and is often expressed as: P + 1/2 pv2 + pgy = constant Bernoulli's equation states that the sum of the pressure (P), the kinetic energy per volume (1/2 pv2), and the potential energy per unit volume (pgy) have the same value at all points along a streamline. Using Bernoulli's law, beca...

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First derived (1738) by the Swiss mathematician Daniel Bernoulli, the theorem states, in effect, that the total mechanical energy of the flowing fluid, comprising the energy associated with fluid pressure, the gravitational potential energy of elevation, and the kinetic energy of fluid motion, remains constant. Bernoulli's theorem is the principle of energy conservation for ideal fluids in steady, or streamline, flow. Bernoulli's theorem implies, therefore, that if the fluid flows horizontally so that no change in gravitational potential energy occurs, then a decrease in fluid pr...

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Conservation of Momentum Assumptions: • Deceleration is constant. ... Energy Equation Using the energy equation we can iteratively find the velocity of the submarine Assumptions • Horizontal Travel • Steady flow eq(1) Assume V=1m/s and iterate to find friction factor f this tells us that flow is turbulent With this Reynolds number and an =.000039 we use the Moody chart to find friction fractor f=.0235. ... Also from the loss terms in the energy equation we can calculate the head loss due to pipe length and diameter and the loss due to t...

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