mechanics of fluids lab report

profileJohanna2020
PreLab2.xlsx
Home>Engineering homework help>Civil Engineering homework help>mechanics of fluids lab report

PRELAB 2

EXPERIMENT 2: MEASUREMENT OF VISCOSITY
Experiment main objective: To determine the viscoisty of Glycerin.
Experiment Hypothesis or Expriment Expectations: Our predictions dictate that a liquid with a higher viscosity will cause the sphere falling through it to slow down more in relation to how viscous the liquid is. In this case, the viscosity of water may allow this sphere to fall more quickly.
Data Table 1-1 VISCOSITY
Spheres (1-1) Average Velocity and Density of Spheres
Distance fell (cm) Time falling (t) Velocity (cm/s) Diameter (cm) Density (g/cm3) Glycerin (1-1) Coefficient of viscosity (poise) Kinematic viscosity (stokes)
Sphere 1 30 4.91 6.11 0.398 7.800
Sphere 2 30 5.01 5.98 0.400 7.800 Glycerol 9.556 7.58
Sphere 3 30 5.00 6.00 0.397 7.800
Sphere 4 30 5.25 5.71 0.398 7.800
Sphere 5 30 5.13 5.85 0.401 7.800
AVERAGE 30 5.06 5.932024569 0.399 7.800
FORMULAS
2.1 Velocity 𝜏 ∝(𝑑𝑢/𝑑𝑦)
2.2 Viscosity 𝜏 = 𝜇 (𝑑𝑢/𝑑𝑦)
2.3 Coefficient of ViscosityBuoyant 𝜇 = 𝜏 (𝑑𝑦/𝑑𝑢)
2.4 Kinematic Viscosity v = (𝜇/𝜌)
2.5 uniform velocity of fall 𝑊 − Fb − Fv = 0
2.6 the weight of the sphere 𝑊 = 𝜌௦𝑔 4 3 𝜋𝑟 ଷ
2.7 the buoyant force Fb = 𝜌fg(4/3) 𝜋𝑟^3
2.8 the viscous force Fv = 6𝜋𝜇𝑉𝑟
2.9 relation to 2.5 𝜌௦*𝑔(4/3)*𝜋𝑟^3 − 𝜌fg(4/3) 𝜋𝑟^3 − 6𝜋𝜇𝑉𝑟 = 0
2.10 the coefficient of viscosity 𝜇 = (2/9) 𝑟^2*𝑔 (𝜌௦ − 𝜌f)/𝑉
sphere 1 (Frank) sphere 2 (Frank) sphere 3 (Frank) sphere 4 (Frank) sphere 5 (Frank)
trial #1 5.05 5 4.94 5.25 5.12
trial #2 5.01 5.08 5.05 5.43 5.2
trial #3 4.88 5.14 4.95 5.15 5.21 𝜌
Temperature and barometric pressure Conversion of units
sphere 1 (M) sphere 2 (M) sphere 3 (M) sphere 4 (M) sphere 5 (M) lbm per Kg 2.2
trial #1 4.95 5.25 5.2 5.49 5.05 ft per m 3.3
trial #2 4.81 4.92 5.33 5.35 5.21 g per lbm 453.6
trial #3 4.8 5.1 5.14 5.33 5.45 Degrees (°C) = 21.6 cm per ft 30.5
mm of Hg = 761 slug per g 0.000069
sphere 1 (Heidy) sphere 2 (Heidy) sphere 3 (Heidy) sphere 4 (Heidy) sphere 1 (Heidy) N per lbf 4.5
trial #1 5.03 4.96 4.85 5.11 4.85 dyne per N 100,000
trial #2 5.03 5.02 4.84 5.4 5.07 SG of steel 7.8
trial #3 4.63 4.65 4.7 4.75 4.97 g (cm/s^2) 981
AVG 4.91 5.013333333 5.00 5.251111111 5.125555556 PS 7.08
Glycerol 1.26

PRELAB 3

DATA mm Analysis of data p(density)=1000 kg/m^3 0.001 g/mm^3 A=(r1-r2)b if h<r2 fully submerged
r1= 200.00 A=(r1-h)b if h>r2 partially submerged
r2 = 100 g(gravity)=9.81 m/s^2
b= 74
L= 275
Table 3-1. Reading (y and m) form experiment Formulas
m(gr) y(mm) Fully Submerged ? 3.1 Wc*Lc=WoL+WTLT
50 5 no 3.2 F(Yp+h)=WL
100 25 no 3.3 F=PcA=ρgyA
150 44 no 3.4 ρgyA(Yp+h)=WL
200 55 no 3.5 yp=[(mL)/(ρȳA)]-h
250 67 yes 3.6 Yp=Y+Ixc/YA
300 80 yes
350 93 yes
400 108 yes 𝑦 = (𝑟1 − ℎ), partially submerged
h=r1-y partially submerged
Table 3-2. Calculations Y p.t.h and p.e.x Table 3-2. Calculations Y p.t.h and p.e.x
y(mm) m(gr) h(mm) ȳ(mm) A(mm2) F(N) Ixc(mm4) Yp.ex(mm) Yp.th(mm) Yp.th(mm)-Yp.ex(mm)
Partially Submerged 45.00 50.00 155.00 22.50 3330.00 0.74 561937.50 28.52 30.00 1.48
65.00 100.00 135.00 32.50 4810.00 1533.55 1693520.83 40.92 43.33 2.42
84.00 150.00 116.00 42.00 6216.00 2561.12 3655008.00 42.00 56.00 14.00
95.00 200.00 105.00 47.50 7030.00 3275.80 5287145.83 59.71 63.33 3.63
Fully Submerged 107.00 250.00 93.00 57.00 7400.00 4137.86 6166666.67 69.99 71.62 1.63
120.00 300.00 80.00 70.00 7400.00 5081.58 6166666.67 79.27 81.90 2.64
133.00 350.00 67.00 83.00 7400.00 6025.30 6166666.67 89.71 93.04 3.33
148.00 400.00 52.00 98.00 7400.00 7114.21 6166666.67 99.68 106.50 6.82

PRELAB 4