Schemat stanowiska pomiarowego
Tabele pomiarowe i wynikowe
α |
α |
Δl |
p |
$${\overset{\overline{}}{\mathbf{p}}}_{\mathbf{\text{teor}}}$$ |
$${\overset{\overline{}}{\mathbf{p}}}_{\mathbf{\text{zmierz}}}$$ |
α |
α |
Δl |
p |
$${\overset{\overline{}}{\mathbf{p}}}_{\mathbf{\text{teor}}}$$ |
$${\overset{\overline{}}{\mathbf{p}}}_{\mathbf{\text{zmierz}}}$$ |
---|---|---|---|---|---|---|---|---|---|---|---|
rad |
mm |
hPa |
- | - | rad |
mm |
hPa |
- | - | ||
0 | 0,000 | 92 | 373 | 1,000 | 1,000 | 90 | 1,571 | 34 | -138 | -3,000 | -0,370 |
3 | 0,052 | 90 | 365 | 0,989 | 0,978 | 93 | 1,623 | 33 | -134 | -2,989 | -0,359 |
6 | 0,105 | 88 | 357 | 0,956 | 0,957 | 96 | 1,676 | 34 | -138 | -2,956 | -0,370 |
9 | 0,157 | 84 | 341 | 0,902 | 0,913 | 99 | 1,728 | 32 | -130 | -2,902 | -0,348 |
12 | 0,209 | 78 | 316 | 0,827 | 0,848 | 102 | 1,780 | 33 | -134 | -2,827 | -0,359 |
15 | 0,262 | 72 | 292 | 0,732 | 0,783 | 105 | 1,833 | 32 | -130 | -2,732 | -0,348 |
18 | 0,314 | 66 | 268 | 0,618 | 0,717 | 108 | 1,885 | 34 | -138 | -2,618 | -0,370 |
21 | 0,367 | 57 | 231 | 0,486 | 0,620 | 111 | 1,937 | 33 | -134 | -2,486 | -0,359 |
24 | 0,419 | 49 | 199 | 0,338 | 0,533 | 114 | 1,990 | 32 | -130 | -2,338 | -0,348 |
27 | 0,471 | 38 | 154 | 0,176 | 0,413 | 117 | 2,042 | 33 | -134 | -2,176 | -0,359 |
30 | 0,524 | 28 | 114 | 0,000 | 0,304 | 120 | 2,094 | 32 | -130 | -2,000 | -0,348 |
33 | 0,576 | 18 | 73 | -0,187 | 0,196 | 123 | 2,147 | 34 | -138 | -1,813 | -0,370 |
36 | 0,628 | 8 | 32 | -0,382 | 0,087 | 126 | 2,199 | 33 | -134 | -1,618 | -0,359 |
39 | 0,681 | 4 | -16 | -0,584 | -0,043 | 129 | 2,251 | 34 | -138 | -1,416 | -0,370 |
42 | 0,733 | 14 | -57 | -0,791 | -0,152 | 132 | 2,304 | 32 | -130 | -1,209 | -0,348 |
45 | 0,785 | 22 | -89 | -1,000 | -0,239 | 135 | 2,356 | 32 | -130 | -1,000 | -0,348 |
48 | 0,838 | 30 | -122 | -1,209 | -0,326 | 138 | 2,409 | 33 | -134 | -0,791 | -0,359 |
51 | 0,890 | 39 | -158 | -1,416 | -0,424 | 141 | 2,461 | 32 | -130 | -0,584 | -0,348 |
54 | 0,942 | 44 | -178 | -1,618 | -0,478 | 144 | 2,513 | 34 | -138 | -0,382 | -0,370 |
57 | 0,995 | 46 | -187 | -1,813 | -0,500 | 147 | 2,566 | 33 | -134 | -0,187 | -0,359 |
60 | 1,047 | 50 | -203 | -2,000 | -0,543 | 150 | 2,618 | 32 | -130 | 0,000 | -0,348 |
63 | 1,100 | 51 | -207 | -2,176 | -0,554 | 153 | 2,670 | 33 | -134 | 0,176 | -0,359 |
66 | 1,152 | 43 | -174 | -2,338 | -0,467 | 156 | 2,723 | 32 | -130 | 0,338 | -0,348 |
69 | 1,204 | 38 | -154 | -2,486 | -0,413 | 159 | 2,775 | 34 | -138 | 0,486 | -0,370 |
72 | 1,257 | 36 | -146 | -2,618 | -0,391 | 162 | 2,827 | 32 | -130 | 0,618 | -0,348 |
75 | 1,309 | 34 | -138 | -2,732 | -0,370 | 165 | 2,880 | 32 | -130 | 0,732 | -0,348 |
78 | 1,361 | 33 | -134 | -2,827 | -0,359 | 168 | 2,932 | 32 | -130 | 0,827 | -0,348 |
81 | 1,414 | 32 | -130 | -2,902 | -0,348 | 171 | 2,985 | 31 | -126 | 0,902 | -0,337 |
84 | 1,466 | 32 | -130 | -2,956 | -0,348 | 174 | 3,037 | 34 | -138 | 0,956 | -0,370 |
87 | 1,518 | 33 | -134 | -2,989 | -0,359 | 177 | 3,089 | 33 | -134 | 0,989 | -0,359 |
180 | 3,142 | 33 | -134 | 1,000 | -0,359 |
Przykładowe obliczenia
Dane do obliczeń:
k = 0, 5
gęstość cieczy manometrycznej: $\rho_{m} = 827\ \frac{\text{kg}}{m^{3}}$
przyspieszenie ziemskie: $g = 9,81\ \frac{m}{s^{2}}$
Przykładowe obliczenia dla kąta α = 33 .
$p = \frac{k \bullet l}{1000}\ \bullet \rho_{m} \bullet g = \frac{0,5 18}{1000} 827 9,81 = 73\ hPa$
${\overset{\overline{}}{p}}_{\text{teor}} = 1 - 4 \bullet \operatorname{}\alpha = 1 - 4 \sin^{2}\left( 33 \right) = 1 - 4 0,297 = - 0,187$
${\overset{\overline{}}{p}}_{\text{zmierz}} = \frac{p_{i}}{p_{1}} = \frac{73}{373} = 0,196$
Wykres
Wnioski
Po wykonaniu pomiarów oraz obliczeń otrzymano pożądane wyniki. Z wykresu rozkładu ciśnienia na powierzchni walca odczytać można, że w doświadczeniu mieliśmy do czynienia z opływem z oderwaniem laminarnej warstwy przyściennej.