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280 .272 (4)
Lecture

# Fluid Statics Lecture Notes.docx

4 Pages
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Department
280
Course Code
280 .272
Professor
Patrick Janssen

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280.272 Notes Fluid Statics  Fluids are liquids or gases Fluid mechanics consists of fluid statics (stationary fluids) and fluid dynamics (moving fluids) The characteristic property of a fluid is that it is unable to Can apply stress prior to support a shear stress in static equilibrium static conditions Stress Defined as force per unit area and is measured in Pa The force can be applied in many directions Shear stress is two forces moving relative to another Static Pressure In static equilibrium there is no shear stress so therefore there is only hydrostatic pressure stress, which is a scalar. Hydrostatic Pressure follows Pascal’s Law: Pressure is transmitted without loss through the fluid system Pressure at the Base: Consequences of Problem 1.1 The static pressure will only be dependent upon the height. Therefore if the liquids are the same density then the pressure will be the same at any horizontal line. The pressure also increases in direct proportion to the depth. i.e. the deeper down the liquid the higher the pressure. 1 280.272 Notes Gauge Pressure Defined as the difference between measured pressure and the instrument pressure NB: in problems this normally relates to setting Bourdon Tube: when pressure is applied he tube straightens but the deformation is small so that there is no permanent damage It measures the difference in pressure between inside and outside NB: There needs to be clarity between absolute and gauge pressure. Gauge pressures should always be followed by (gauge) or (g) If the object is in static equilibrium then Following the derivation laid out on Fluid Static Slides Slide 8, the following equation arrises for the pressure at points 1 and 2 This is because the density is constant with the height Problem 1.2 and can be pulled out of the height. If the density changes with height (i.e. the fluid is very deep) then the pressure must Problem 1.3 be calculated from the integral Piezometer: Tube that comes off to determine pressure at a particular height. A difference of height between the tube and the vessel may be different due to the vessel being closed Problem 1.4 2 280.272 Notes Manometer: Uses a U-tube which determines the difference in height which can be directly related to the differences in pressure between the ends of the manometer. Problem 1.5 The pressure range of a manometer depends on fluid densities - Air over w
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