Laboratory 3: Vertical Flow of Water

In: Science

Submitted By schssucks
Words 364
Pages 2
To examine vertical flow of water from a reservoir through an orifice and to compare results obtained by two methods with each other and with an accepted empirical value.

2. Results & Discussion

3. Graph 4. Calculations
Table 4.1 Least Square Fit – Experimental Run # | x (h0), m | y (Qexp), m3/s | x*y | x2 | 7 | 0.360 | 0.0002171 | 7.82E-05 | 0.1296 | 8 | 0.338 | 0.0002105 | 7.11E-05 | 0.1142 | 9 | 0.318 | 0.0002015 | 6.41E-05 | 0.1011 | 10 | 0.309 | 0.0002006 | 6.2E-05 | 0.0955 | 11 | 0.274 | 0.0001952 | 5.35E-05 | 0.0751 | 12 | 0.271 | 0.0001899 | 5.15E-05 | 0.0734 | 13 | 0.250 | 0.0001791 | 4.48E-05 | 0.0625 | 14 | 0.230 | 0.0001757 | 4.04E-05 | 0.0529 | 15 | 0.202 | 0.0001648 | 3.33E-05 | 0.0408 | 16 | 0.172 | 0.0001513 | 2.6E-05 | 0.0296 | 17 | 0.153 | 0.0001423 | 2.18E-05 | 0.0234 | ∑ | 2.877 | 0.0020280 | 0.000547 | 0.7982 |

Table 4.2 Calculated values for experimental slope, y-intercept and equation of best fit. aexp = | 0.000353899 | bexp= | 9.1803E-05 | yexp= | .00035x + 9.18E-05 |

Table 4.3 Least Square Fit – Theoretical Run # | x (h0), m | y (Qtheo), m3/s | x*y | x2 | 7 | 0.360 | 0.00021714 | 7.82E-05 | 0.1296 | 8 | 0.338 | 0.000210467 | 7.11E-05 | 0.1142 | 9 | 0.318 | 0.000201884 | 6.42E-05 | 0.1011 | 10 | 0.309 | 0.000200588 | 6.2E-05 | 0.0955 | 11 | 0.274 | 0.000195185 | 5.35E-05 | 0.0751 | 12 | 0.271 | 0.000189897 | 5.15E-05 | 0.0734 | 13 | 0.250 | 0.000179104 | 4.48E-05 | 0.0625 | 14 | 0.230 | 0.000175706 | 4.04E-05 | 0.0529 | 15 | 0.202 | 0.000164781 | 3.33E-05 | 0.0408 | 16 | 0.172 | 0.000151286 | 2.6E-05 | 0.0296 | 17 | 0.153 | 0.000142342 | 2.18E-05 | 0.0234 | ∑ | 2.877 | 0.002028381 | 0.000547 | 0.7982 |

Table 4.4 Calculated values for theoretical slope, y-intercept and equation of best fit. atheo = | 0.000354335 | btheo= | 9.17236E-05 | ytheo= |…...

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