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MECHANICS of FLUIDS LABORATORY - Mechanical Engineering

MECHANICS of FLUIDS LABORATORY - Mechanical Engineering

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EXPERIMENT 1<br />

FLUID PROPERTIES: DENSITY AND SURFACE TENSION<br />

There are several properties simple<br />

Newtonian fluids have. They are basic<br />

properties which cannot be calculated for every<br />

fluid, and therefore they must be measured.<br />

These properties are important in making<br />

calculations regarding fluid systems. Measuring<br />

fluid properties, density and viscosity, is the<br />

object <strong>of</strong> this experiment.<br />

W 1<br />

W 2<br />

Part I: Density Measurement.<br />

Equipment<br />

Graduated cylinder or beaker<br />

Liquid whose properties are to be<br />

measured<br />

Hydrometer cylinder<br />

Scale<br />

The density <strong>of</strong> the test fluid is to be found by<br />

weighing a known volume <strong>of</strong> the liquid using the<br />

graduated cylinder or beaker and the scale. The<br />

beaker is weighed empty. The beaker is then<br />

filled to a certain volume according to the<br />

graduations on it and weighed again. The<br />

difference in weight divided by the volume gives<br />

the weight per unit volume <strong>of</strong> the liquid. By<br />

appropriate conversion, the liquid density is<br />

calculated. The mass per unit volume, or the<br />

density, is thus measured in a direct way.<br />

A second method <strong>of</strong> finding density involves<br />

measuring buoyant force exerted on a submerged<br />

object. The difference between the weight <strong>of</strong> an<br />

object in air and the weight <strong>of</strong> the object in liquid<br />

is known as the buoyant force (see Figure 1.1).<br />

FIGURE 1.1. Measuring the buoyant force on an<br />

object with a hanging weight.<br />

Referring to Figure 1.1, the buoyant force B is<br />

found as<br />

B = W 1<br />

- W 2<br />

The buoyant force is equal to the difference<br />

between the weight <strong>of</strong> the object in air and the<br />

weight <strong>of</strong> the object while submerged. Dividing<br />

this difference by the volume displaced gives the<br />

weight per unit volume from which density can be<br />

calculated.<br />

Questions<br />

1. Are the results <strong>of</strong> all the density<br />

measurements in agreement?<br />

2. How does the buoyant force vary with<br />

depth <strong>of</strong> the submerged object? Why?<br />

Part II: Surface Tension Measurement<br />

Equipment<br />

Surface tension meter<br />

Beaker<br />

Test fluid<br />

Surface tension is defined as the energy<br />

required to pull molecules <strong>of</strong> liquid from beneath<br />

the surface to the surface to form a new area. It is<br />

therefore an energy per unit area (F⋅L/L 2 = F/L).<br />

A surface tension meter is used to measure this<br />

energy per unit area and give its value directly. A<br />

schematic <strong>of</strong> the surface tension meter is given in<br />

Figure 1.2.<br />

The platinum-iridium ring is attached to a<br />

balance rod (lever arm) which in turn is attached<br />

to a stainless steel torsion wire. One end <strong>of</strong> this<br />

wire is fixed and the other is rotated. As the wire<br />

is placed under torsion, the rod lifts the ring<br />

slowly out <strong>of</strong> the liquid. The proper technique is<br />

to lower the test fluid container as the ring is<br />

lifted so that the ring remains horizontal. The<br />

force required to break the ring free from the<br />

liquid surface is related to the surface tension <strong>of</strong><br />

the liquid. As the ring breaks free, the gage at<br />

the front <strong>of</strong> the meter reads directly in the units<br />

indicated (dynes/cm) for the given ring. This<br />

reading is called the apparent surface tension and<br />

must be corrected for the ring used in order to<br />

obtain the actual surface tension for the liquid.<br />

The correction factor F can be calculated with the<br />

following equation<br />

7

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