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11 Fluid Statics
CHAPTER 11 | FLUID STATICS 357 11 FLUID STATICS Figure 11.1 The fluid essential to all life has a beauty of its own. It also helps support the weight of this swimmer. (credit: Terren, Wikimedia Commons) Learning Objectives 11.1. What Is a Fluid? • State the common phases of matter. • Explain the physical characteristics of solids, liquids, and gases. • Describe the arrangement of atoms in solids, liquids, and gases. 11.2. Density • Define density. • Calculate the mass of a reservoir from its density. • Compare and contrast the densities of various substances. 11.3. Pressure • Define pressure. • Explain the relationship between pressure and force. • Calculate force given pressure and area. 11.4. Variation of Pressure with Depth in a Fluid • Define pressure in terms of weight. • Explain the variation of pressure with depth in a fluid. • Calculate density given pressure and altitude. 11.5. Pascal’s Principle • Define pressure. • State Pascal’s principle. • Understand applications of Pascal’s principle. • Derive relationships between forces in a hydraulic system. 11.6. Gauge Pressure, Absolute Pressure, and Pressure Measurement • Define gauge pressure and absolute pressure. • Understand the working of aneroid and open-tube barometers. 11.7. Archimedes’ Principle • Define buoyant force. • State Archimedes’ principle. • Understand why objects float or sink. • Understand the relationship between density and Archimedes’ principle. 11.8. Cohesion and Adhesion in Liquids: Surface Tension and Capillary Action • Understand cohesive and adhesive forces. • Define surface tension. • Understand capillary action. 11.9. Pressures in the Body • Explain the concept of pressure the in human body. • Explain systolic and diastolic blood pressures. • Describe pressures in the eye, lungs, spinal column, bladder, and skeletal system. -
Pressure, Its Units of Measure and Pressure References
_______________ White Paper Pressure, Its Units of Measure and Pressure References Viatran Phone: 1‐716‐629‐3800 3829 Forest Parkway Fax: 1‐716‐693‐9162 Suite 500 [email protected] Wheatfield, NY 14120 www.viatran.com This technical note is a summary reference on the nature of pressure, some common units of measure and pressure references. Read this and you won’t have to wait for the movie! PRESSURE Gas and liquid molecules are in constant, random motion called “Brownian” motion. The average speed of these molecules increases with increasing temperature. When a gas or liquid molecule collides with a surface, momentum is imparted into the surface. If the molecule is heavy or moving fast, more momentum is imparted. All of the collisions that occur over a given area combine to result in a force. The force per unit area defines the pressure of the gas or liquid. If we add more gas or liquid to a constant volume, then the number of collisions must increase, and therefore pressure must increase. If the gas inside the chamber is heated, the gas molecules will speed up, impact with more momentum and pressure increases. Pressure and temperature therefore are related (see table at right). The lowest pressure possible in nature occurs when there are no molecules at all. At this point, no collisions exist. This condition is known as a pure vacuum, or the absence of all matter. It is also possible to cool a liquid or gas until all molecular motion ceases. This extremely cold temperature is called “absolute zero”, which is -459.4° F. -
Pressure Measuring Instruments
testo-312-2-3-4-P01 21.08.2012 08:49 Seite 1 We measure it. Pressure measuring instruments For gas and water installers testo 312-2 HPA testo 312-3 testo 312-4 BAR °C www.testo.com testo-312-2-3-4-P02 23.11.2011 14:37 Seite 2 testo 312-2 / testo 312-3 We measure it. Pressure meters for gas and water fitters Use the testo 312-2 fine pressure measuring instrument to testo 312-2 check flue gas draught, differential pressure in the combustion chamber compared with ambient pressure testo 312-2, fine pressure measuring or gas flow pressure with high instrument up to 40/200 hPa, DVGW approval, incl. alarm display, battery and resolution. Fine pressures with a resolution of 0.01 hPa can calibration protocol be measured in the range from 0 to 40 hPa. Part no. 0632 0313 DVGW approval according to TRGI for pressure settings and pressure tests on a gas boiler. • Switchable precision range with a high resolution • Alarm display when user-defined limit values are • Compensation of measurement fluctuations caused by exceeded temperature • Clear display with time The versatile pressure measuring instrument testo 312-3 testo 312-3 supports load and gas-rightness tests on gas and water pipelines up to 6000 hPa (6 bar) quickly and reliably. testo 312-3 versatile pressure meter up to Everything you need to inspect gas and water pipe 300/600 hPa, DVGW approval, incl. alarm display, battery and calibration protocol installations: with the electronic pressure measuring instrument testo 312-3, pressure- and gas-tightness can be tested. -
Surface Tension Measurement." Copyright 2000 CRC Press LLC
David B. Thiessen, et. al.. "Surface Tension Measurement." Copyright 2000 CRC Press LLC. <http://www.engnetbase.com>. Surface Tension Measurement 31.1 Mechanics of Fluid Surfaces 31.2 Standard Methods and Instrumentation Capillary Rise Method • Wilhelmy Plate and du Noüy Ring Methods • Maximum Bubble Pressure Method • Pendant Drop and Sessile Drop Methods • Drop Weight or Volume David B. Thiessen Method • Spinning Drop Method California Institute of Technology 31.3 Specialized Methods Dynamic Surface Tension • Surface Viscoelasticity • Kin F. Man Measurements at Extremes of Temperature and Pressure • California Institute of Technology Interfacial Tension The effect of surface tension is observed in many everyday situations. For example, a slowly leaking faucet drips because the force of surface tension allows the water to cling to it until a sufficient mass of water is accumulated to break free. Surface tension can cause a steel needle to “float” on the surface of water although its density is much higher than that of water. The surface of a liquid can be thought of as having a skin that is under tension. A liquid droplet is somewhat analogous to a balloon filled with air. The elastic skin of the balloon contains the air inside at a slightly higher pressure than the surrounding air. The surface of a liquid droplet likewise contains the liquid in the droplet at a pressure that is slightly higher than ambient. A clean liquid surface, however, is not elastic like a rubber skin. The tension in a piece of rubber increases as it is stretched and will eventually rupture. A clean liquid surface can be expanded indefinitely without changing the surface tension. -
Lecture # 04 Pressure Measurement Techniques and Instrumentation
AerE 344 class notes LectureLecture ## 0404 PressurePressure MeasurementMeasurement TechniquesTechniques andand InstrumentationInstrumentation Hui Hu Department of Aerospace Engineering, Iowa State University Ames, Iowa 50011, U.S.A Copyright © by Dr. Hui Hu @ Iowa State University. All Rights Reserved! MeasurementMeasurement TechniquesTechniques forfor ThermalThermal--FluidsFluids StudiesStudies Velocity, temperature, density (concentration), etc.. • Pitot probe • hotwire, hot film Intrusive • thermocouples techniques • etc ... Thermal-Fluids measurement techniques • Laser Doppler Velocimetry (LDV) particle-based • Planar Doppler Velocimetry (PDV) techniques • Particle Image Velocimetry (PIV) • etc… Non-intrusive techniques • Laser Induced Fluorescence (LIF) • Molecular Tagging Velocimetry (MTV) molecule-based • Molecular Tagging Therometry (MTT) techniques • Pressure Sensitive Paint (PSP) • Temperature Sensitive Paint (TSP) • Quantum Dot Imaging • etc … Copyright © by Dr. Hui Hu @ Iowa State University. All Rights Reserved! Pressure measurements • Pressure is defined as the amount of force that presses on a certain area. – The pressure on the surface will increase if you make the force on an area bigger. – Making the area smaller and keeping the force the same also increase the pressure. – Pressure is a scalar F dF P = n = n A dA nˆ dFn dA τˆ Copyright © by Dr. Hui Hu @ Iowa State University. All Rights Reserved! Pressure measurements Pgauge = Pabsolute − Pamb Manometer Copyright © by Dr. Hui Hu @ Iowa State University. All Rights Reserved! -
Guide for the Use of the International System of Units (SI)
Guide for the Use of the International System of Units (SI) m kg s cd SI mol K A NIST Special Publication 811 2008 Edition Ambler Thompson and Barry N. Taylor NIST Special Publication 811 2008 Edition Guide for the Use of the International System of Units (SI) Ambler Thompson Technology Services and Barry N. Taylor Physics Laboratory National Institute of Standards and Technology Gaithersburg, MD 20899 (Supersedes NIST Special Publication 811, 1995 Edition, April 1995) March 2008 U.S. Department of Commerce Carlos M. Gutierrez, Secretary National Institute of Standards and Technology James M. Turner, Acting Director National Institute of Standards and Technology Special Publication 811, 2008 Edition (Supersedes NIST Special Publication 811, April 1995 Edition) Natl. Inst. Stand. Technol. Spec. Publ. 811, 2008 Ed., 85 pages (March 2008; 2nd printing November 2008) CODEN: NSPUE3 Note on 2nd printing: This 2nd printing dated November 2008 of NIST SP811 corrects a number of minor typographical errors present in the 1st printing dated March 2008. Guide for the Use of the International System of Units (SI) Preface The International System of Units, universally abbreviated SI (from the French Le Système International d’Unités), is the modern metric system of measurement. Long the dominant measurement system used in science, the SI is becoming the dominant measurement system used in international commerce. The Omnibus Trade and Competitiveness Act of August 1988 [Public Law (PL) 100-418] changed the name of the National Bureau of Standards (NBS) to the National Institute of Standards and Technology (NIST) and gave to NIST the added task of helping U.S. -
Pressure Measurement Explained
Pressure measurement explained Rev A1, May 25th, 2018 Sens4Knowledge Sens4 A/S – Nordre Strandvej 119 G – 3150 Hellebaek – Denmark Phone: +45 8844 7044 – Email: [email protected] www.sens4.com Sens4Knowledge Pressure measurement explained Introduction Pressure is defined as the force per area that can be exerted by a liquid, gas or vapor etc. on a given surface. The applied pressure can be measured as absolute, gauge or differential pressure. Pressure can be measured directly by measurement of the applied force or indirectly, e.g. by the measurement of the gas properties. Examples of indirect measurement techniques that are using gas properties are thermal conductivity or ionization of gas molecules. Before mechanical manometers and electronic diaphragm pressure sensors were invented, pressure was measured by liquid manometers with mercury or water. Pressure standards In physical science the symbol for pressure is p and the SI (abbreviation from French Le Système. International d'Unités) unit for measuring pressure is pascal (symbol: Pa). One pascal is the force of one Newton per square meter acting perpendicular on a surface. Other commonly used pressure units for stating the pressure level are psi (pounds per square inch), torr and bar. Use of pressure units have regional and applicational preference: psi is commonly used in the United States, while bar the preferred unit of measure in Europe. In the industrial vacuum community, the preferred pressure unit is torr in the United States, mbar in Europe and pascal in Asia. Unit conversion Pa bar psi torr atm 1 Pa = 1 1×10-5 1.45038×10-4 7.50062×10-3 9.86923×10-6 1 bar = 100,000 1 14.5038 750.062 0.986923 1 psi = 6,894.76 6.89476×10-2 1 51.7149 6.80460×10-2 1 torr = 133.322 1.33322×10-3 1.933768×10-2 1 1.31579×10-3 1 atm (standard) = 1013.25 1.01325 14.6959 760.000 1 According to the International Organization for Standardization the standard ISO 2533:1975 defines the standard atmospheric pressure of 101,325 Pa (1 atm, 1013.25 mbar or 14.6959 psi). -
Basic Vacuum Theory
MIDWEST TUNGSTEN Tips SERVICE BASIC VACUUM THEORY Published, now and again by MIDWEST TUNGSTEN SERVICE Vacuum means “emptiness” in Latin. It is defi ned as a space from which all air and other gases have been removed. This is an ideal condition. The perfect vacuum does not exist so far as we know. Even in the depths of outer space there is roughly one particle (atom or molecule) per cubic centimeter of space. Vacuum can be used in many different ways. It can be used as a force to hold things in place - suction cups. It can be used to move things, as vacuum cleaners, drinking straws, and siphons do. At one time, part of the train system of England was run using vacuum technology. The term “vacuum” is also used to describe pressures that are subatmospheric. These subatmospheric pressures range over 19 orders of magnitude. Vacuum Ranges Ultra high vacuum Very high High Medium Low _________________________|_________|_____________|__________________|____________ _ 10-16 10-14 10-12 10-10 10-8 10-6 10-4 10-3 10-2 10-1 1 10 102 103 (pressure in torr) There is air pressure, or atmospheric pressure, all around and within us. We use a barometer to measure this pressure. Torricelli built the fi rst mercury barometer in 1644. He chose the pressure exerted by one millimeter of mercury at 0ºC in the tube of the barometer to be his unit of measure. For many years millimeters of mercury (mmHg) have been used as a standard unit of pressure. One millimeter of mercury is known as one Torr in honor of Torricelli. -
Total Pressure Measurement
Total Pressure Measurement Vacuum Sensors Display and control unit 5 Accessories Contents Introduction Page 5-3 to 5-6 Hot Cathode Ionization Vacuum Sensorss Page 5-7 to 5-14 Cold Cathode Ionization Vacuum Sensors Page 5-15 to 5-17 Heat Loss Vacuum Sensors Page 5-18 to 5-25 Capacitance Diaphragm Sensors Page 5-26 to 5-30 Relative Pressure Sensors Page 5-31 to 5-33 5 Display and Control Units Page 5-34 to 5-39 Contamination Protection Page 5-39 Cables Page 5-40 to 5-41 5-2 www.vacom-vacuum.com Total Pressure Measurement Introduction For all types of vacuum applications VACOM offers reliable total pressure sensors covering a wide pressure range from atmosphere to XHV. This catalogue introduces VACOM’s own, technologically leading products that can be used out-of-the-box or adapted in a customer specific version. The following chapter provides an overview of VACOM-selected sensors for total pressure measurement as well as suitable controllers. Used to determine the absolute pressure in almost every application. For more detailed information about vacuum gauges please do not hesitate to contact our technical support team. Measuring Principles for Total Pressure Instruments and Typical Measurement Ranges Extreme/Ultra high vacuum High vacuum Medium/Rough vacuum Bourdon 5 Heat loss (Pirani, Thermocouple) Membrane (capacitance, piezo) Wide range (ionization and heat loss) Ionization (Hot Cathode Ionization, Cold Cathode Ionization) Custom made (ionization, heat loss) 10-12 10-10 10-8 10-6 10-4 10-2 100 102 mbar Pressure Units 1 Pa = 0.01 mbar -
PRESSURE 68 Kg 136 Kg Pressure: a Normal Force Exerted by a Fluid Per Unit Area
CLASS Second Unit PRESSURE 68 kg 136 kg Pressure: A normal force exerted by a fluid per unit area 2 Afeet=300cm 0.23 kgf/cm2 0.46 kgf/cm2 P=68/300=0.23 kgf/cm2 The normal stress (or “pressure”) on the feet of a chubby person is much greater than on the feet of a slim person. Some basic pressure 2 gages. • Absolute pressure: The actual pressure at a given position. It is measured relative to absolute vacuum (i.e., absolute zero pressure). • Gage pressure: The difference between the absolute pressure and the local atmospheric pressure. Most pressure-measuring devices are calibrated to read zero in the atmosphere, and so they indicate gage pressure. • Vacuum pressures: Pressures below atmospheric pressure. Throughout this text, the pressure P will denote absolute pressure unless specified otherwise. 3 Other Pressure Measurement Devices • Bourdon tube: Consists of a hollow metal tube bent like a hook whose end is closed and connected to a dial indicator needle. • Pressure transducers: Use various techniques to convert the pressure effect to an electrical effect such as a change in voltage, resistance, or capacitance. • Pressure transducers are smaller and faster, and they can be more sensitive, reliable, and precise than their mechanical counterparts. • Strain-gage pressure transducers: Work by having a diaphragm deflect between two chambers open to the pressure inputs. • Piezoelectric transducers: Also called solid- state pressure transducers, work on the principle that an electric potential is generated in a crystalline substance when it is subjected to mechanical pressure. Various types of Bourdon tubes used to measure pressure. -
Pressure and Piezometry (Pressure Measurement)
PRESSURE AND PIEZOMETRY (PRESSURE MEASUREMENT) What is pressure? .......................................................................................................................................... 1 Pressure unit: the pascal ............................................................................................................................ 3 Pressure measurement: piezometry ........................................................................................................... 4 Vacuum ......................................................................................................................................................... 5 Vacuum generation ................................................................................................................................... 6 Hydrostatic pressure ...................................................................................................................................... 8 Atmospheric pressure in meteorology ...................................................................................................... 8 Liquid level measurement ......................................................................................................................... 9 Archimedes' principle. Buoyancy ............................................................................................................. 9 Weighting objects in air and water ..................................................................................................... 10 Siphons ................................................................................................................................................... -
Pressure and Fluid Statics
cen72367_ch03.qxd 10/29/04 2:21 PM Page 65 CHAPTER PRESSURE AND 3 FLUID STATICS his chapter deals with forces applied by fluids at rest or in rigid-body motion. The fluid property responsible for those forces is pressure, OBJECTIVES Twhich is a normal force exerted by a fluid per unit area. We start this When you finish reading this chapter, you chapter with a detailed discussion of pressure, including absolute and gage should be able to pressures, the pressure at a point, the variation of pressure with depth in a I Determine the variation of gravitational field, the manometer, the barometer, and pressure measure- pressure in a fluid at rest ment devices. This is followed by a discussion of the hydrostatic forces I Calculate the forces exerted by a applied on submerged bodies with plane or curved surfaces. We then con- fluid at rest on plane or curved submerged surfaces sider the buoyant force applied by fluids on submerged or floating bodies, and discuss the stability of such bodies. Finally, we apply Newton’s second I Analyze the rigid-body motion of fluids in containers during linear law of motion to a body of fluid in motion that acts as a rigid body and ana- acceleration or rotation lyze the variation of pressure in fluids that undergo linear acceleration and in rotating containers. This chapter makes extensive use of force balances for bodies in static equilibrium, and it will be helpful if the relevant topics from statics are first reviewed. 65 cen72367_ch03.qxd 10/29/04 2:21 PM Page 66 66 FLUID MECHANICS 3–1 I PRESSURE Pressure is defined as a normal force exerted by a fluid per unit area.