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Oil flows through a contraction with circular cross-section as shown in the figure below. A manometer, using mercury as the gage fluid, is used to measure the pressure difference between sections 1 and 2 of the pipe. Assuming frictionless flow, determine: the pressure difference, p1-p2, between sections 1 and 2, and.
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 ...
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.
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.
20 cze 2020 · p + 1 2ρ v2 + ρgh = konstant Bernoulli equation. Two states on a streamline are thus linked by the following equation: p1 + 1 2ρv21 + ρgh1 = p2 + 1 2ρv22 + ρgh2. In the following, different exercises for the application of the Bernoulli equation will be shown.
A Bernoulli differential equation can be written in the following standard form: dy dx +P(x)y = Q(x)yn, 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. This gives a differential equation in x and z that is linear, and can be solved using the integrating factor ...
Worksheet for Exploration 15.2: Bernoulli’s Equation. Bernoulli’s equation describes the conservation of energy in an ideal fluid system. Assume an ideal fluid (position is given in meters and pressure is given in pascals).
