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Additional resources for A First Course in Fluid Mechanics for Engineers
14) Manometers could be used to measure the pressure difference between two points. 8. A U-tube partially filled with a heavier liquid, mercury in most cases, connected to a pipe across a restriction in the pipe. Density of the fluid in the pipe is ρL and the density of the heavy liquid is ρM. Pressure at two tapings to which the manometer arms are connected are P1 and P2 (P1>P2). The space in the tube above the heavy fluid in the manometer is filled with the same fluid that flows in the pipe. This type of setting, when the pipe contains water and the heavy fluid is the mercury, is called “water over mercury” manometer.
3 Uses of dimensional analysis Dimensional analysis is used to compare physical phenomena in various geometries. The comparison (used loosely in here) gives an indication how a system would behave. This is possible because dimensional analysis leads to similarity laws for the systems under consideration. This reduces the number of variables to consider in a given problem. com 54 A first course in Fluid Mechanics for Engineers Basics of Fluid Flow 4 Basics of Fluid Flow Introduction In the previous lecture on fluid statics we have discussed the fluid at rest.
Consider a fluid flowing in a pipe. If you trace the path a small fluid element would take during a period of time you can calculate the average velocity of that particle. If the period of observation is very small, then it gives the instantaneous velocity of the fluid element. Velocity is a vector quantity that has a magnitude and a direction. It could be represented by an arrow pointing towards the direction of the action and a length that corresponds to the magnitude. 3 Streamlies with velocoity vectors Fluid that flows consist of a large number of fluid elements that has various velocities.