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Lab Report #1: Page 1
TEXAS TECH UNIVERSITY
DEPARTMENT OF CIVIL, ENVIRONMENTAL, AND CONSTRUCTION
ENGINEERING
Lab Report #1: Fluid Properties
CE 3105 – Fluid Laboratory
Section: 303
Team Number: 2
Instructor: Theodore Cleveland
Authors:
Bradley Brooks
Conner Jeter
Ruben Ramos
Gabriel Vega
Date of Experiment: 1/29/2024
Date of Submission: 2/5/2024
Lab Report #1: Page 2
Table of Contents
Theory
........................................................................................................................................................
3
Apparatus
...................................................................................................................................................
7
Results
........................................................................................................................................................
9
Discussion
.................................................................................................................................................
10
Data Appendix
.........................................................................................................................................
11
Error Calculations
...................................................................................................................................
11
Sample Calculations
................................................................................................................................
11
List of Figures
Figure 1: Shear Stress Between Two Parallel Planes
Figure 2: Hydrometer and Other Specific Tools Used
Figure 3: Water Density and Specific Gravity Graph
Figure 4: Saltwater Density and Specific Gravity Graph
Figure 5: Glycerin Density and Specific Gravity Graph
List of Tables
Table 1: Recorded and Calculated results from the Density Measurements
Table 2: Calculated Salt Mass Results
Table 3: Recorded and Calculated Results of Specific Gravity
Table 4: Kinematic and Dynamic Viscosity
Table 5: Data Appendix with Calculated Results
Lab Report #1: Page 3
Theory
Density
is a crucial characteristic inherent to all substances, fluids included. It's commonly denoted by the symbol ρ and is defined as the ratio of a fluid's mass to the volume it occupies. Expressing it mathematically, density can be articulated as:
Density
=
Mass of the Liquid
Volume of the Liquid
ρ
=
M
V
At given temperature and pressures, the density of a fluid is constant. With that, the assumption that as mass of the liquid increases, so will the volume, with constant density. Density is measured in units of kg
m
3
(SI) or lb
ft
3
(US).
Specific Weight
is the weight per unit volume of a liquid. Weight is a force that can be calculated by multiplying the mass of a liquid by acceleration due to gravity (g).
Lab Report #1: Page 4
SpecificWeight
=
Weight
Volume
γ
=
mg
V
At constant pressures and temperature, the specific weight of a fluid is constant.
Specific Gravity
, another significant property of fluids, is defined as the ratio of a fluid's density
to the density of water at the same temperature. Notably, water has a specific gravity of 1.0. Fluids with a higher density than water exhibit a specific gravity greater than 1, whereas those with a lower density than water have a specific gravity less than 1.
The formula for specific gravity can be defined as:
SpecificGravity
=
ρ
s
ρ
H
2
O
As a dimensionless quantity derived from the ratio of two densities, specific gravity plays a pivotal role in determining whether a fluid will float or sink in water. Moreover, it facilitates consistent comparisons of fluids across various units. Fluids, defined as substances unable to completely resist shear stresses, initiate flow when subjected to such stresses. Notably, different fluids exhibit varying flow rates under identical magnitudes of shear stress. Viscosity
serves as a metric for a fluid's resistance to shear stress, akin to internal resistance. Conceptually, viscosity represents the frictional forces between layers of fluid in relative motion. Dynamic viscosity
quantifies the tangential force per unit area needed to move one horizontal plane relative to another at a unit velocity while maintaining a unit distance apart.
Lab Report #1: Page 5
According to Newton’s law of viscosity, the shear stress τ
is proportional to the velocity gradient. Dynamic viscosity μ
is the constant of proportionality. It can be represented with the following equation:
τ
=
μ
du
dy
Figure 1: Shear Stress between two Parallel Planes
Dynamic Viscosity can be described as a ratio of shear force to the velocity gradient. It can be written in units of lb
ft
∗
s
(US). It can be found, especially in fluid mechanics, to encounter the
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