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Worked Example Problems: Bernoulli’s Equation P1 ˆg +z 1 + V2 1 2g = P2 ˆg +z 2 + V2 2 2g The objective in all three of the following worked example problems is to determine the pressure at location 2, P 2. For all three problems the gravita-tional constant, g, can be assumed to be 9:81m=s2 and the density of water, ˆ, as 1000kg=m3. All ...
discharges into atmosphere. Answer(s): H p atm p v . hill H. g end Air flows through the Venturi tube that discharges to the atmosphere as shown in the figure. If the flow rate is large enough, the pressure in the constriction will be low enough to draw the water up into the tube.
Theory. Bernoulli differential equation can be written in the following standard form: dy. + P(x)y = Q(x)yn , dx where n 6= 1 (the equation is thus nonlinear). To find the solution, change the dependent variable from y to z, where. z = y1−n.
Bernoulli Theorems and Applications. 10.1 The energy equation and the Bernoulli theorem. conservation of energy discussed in Chapter 6. These conservation theorems are collectively called Bernoulli Theorems since the scientist who first contributed in a fundamental way to the development of .
Once the velocity field is known, insert it into the Bernoulli Equation to compute the pressure field p(x, y, z). This two-step process is simple enough to permit very economical aerodynamic solution methods which give a great deal of physical insight into aerodynamic behavior.
This document contains the answers to two practice problems applying the Bernoulli equation. The first problem calculates the velocity of water exiting a fire hose nozzle given the inlet velocity and pressures.
Problem 1. Water is flowing in a fire hose with a velocity of 1.0 m/s and a pressure of 200000 Pa. At the nozzle the pressure decreases to atmospheric pressure (101300 Pa), there is no change in height. Use the Bernoulli equation to calculate the velocity of the water exiting the nozzle.
