Schemat stanowiska
Wzory
$$p_{s} = 9,8065 \bullet 10^{4}\frac{10 \bullet e^{0,01028\left( t + 273,15 \right) - \frac{7821,541}{t + 273,15} + 828,6568}}{{(t + 273,15)}^{11,48776}}$$
Gęstość powietrza:
Teoretyczny współczynnik ciśnienia:
Ciśnienie dynamiczne:
Rzeczywista wartość współczynnika ciśnienia:
Tabela wynikowa
| Ps, Pa | T, K | ρpow, kg/m3 |
φ, rad | ∆l, m | ,rad | pd | ,rad |
|---|---|---|---|---|---|---|---|
| 1994,2992 | 290,95 | 1,191489 | 0,00 | 0,097 | 1,000 | 410,5113 | 1,000 |
| 2032,4219 | 291,25 | 1,191396 | 0,05 | 0,097 | 0,989 | 410,5114 | 1,000 |
| 2045,2704 | 291,35 | 1,191365 | 0,10 | 0,095 | 0,956 | 402,0473 | 0,979 |
| 2071,1806 | 291,55 | 1,191302 | 0,16 | 0,093 | 0,902 | 393,5831 | 0,959 |
| 2071,1806 | 291,55 | 1,191302 | 0,21 | 0,089 | 0,827 | 376,6548 | 0,918 |
| 2097,3774 | 291,75 | 1,191239 | 0,26 | 0,084 | 0,732 | 355,4945 | 0,866 |
| 2097,3774 | 291,75 | 1,191239 | 0,31 | 0,078 | 0,618 | 330,102 | 0,804 |
| 2097,3774 | 291,75 | 1,191239 | 0,37 | 0,07 | 0,486 | 296,2454 | 0,722 |
| 2110,5841 | 291,85 | 1,191207 | 0,42 | 0,061 | 0,338 | 258,1567 | 0,629 |
| 2123,8635 | 291,95 | 1,191174 | 0,47 | 0,051 | 0,176 | 215,8359 | 0,526 |
| 2137,2159 | 292,05 | 1,191142 | 0,52359878 | 0,041 | 0,000 | 173,5152 | 0,423 |
| 2137,2159 | 292,05 | 1,191142 | 0,58 | 0,03 | -0,187 | 126,9623 | 0,309 |
| 2150,6416 | 292,15 | 1,19111 | 0,63 | 0,019 | -0,382 | 80,40947 | 0,196 |
| 2150,6416 | 292,15 | 1,19111 | 0,68 | 0,009 | -0,584 | 38,0887 | 0,093 |
| 2164,141 | 292,25 | 1,191077 | 0,73 | -0,003 | -0,791 | -12,6962 | -0,031 |
| 2246,7037 | 292,85 | 1,190876 | 0,79 | -0,014 | -1,000 | -59,2491 | -0,144 |
| 2260,7285 | 292,95 | 1,190842 | 0,84 | -0,024 | -1,209 | -101,57 | -0,247 |
| 2260,7285 | 292,95 | 1,190842 | 0,89 | -0,033 | -1,416 | -139,659 | -0,340 |
| 2274,8297 | 293,05 | 1,190808 | 0,94 | -0,042 | -1,618 | -177,747 | -0,433 |
| 2274,8297 | 293,05 | 1,190808 | 0,99 | -0,048 | -1,813 | -203,14 | -0,495 |
| 2274,8297 | 293,05 | 1,190808 | 1,05 | -0,054 | -2,000 | -228,532 | -0,557 |
| 2289,0076 | 293,15 | 1,190774 | 1,10 | -0,057 | -2,176 | -241,229 | -0,588 |
| 2303,2627 | 293,25 | 1,190739 | 1,15 | -0,058 | -2,338 | -245,461 | -0,598 |
| 2303,2627 | 293,25 | 1,190739 | 1,20 | -0,056 | -2,486 | -236,996 | -0,577 |
| 2303,2627 | 293,25 | 1,190739 | 1,26 | -0,047 | -2,618 | -198,908 | -0,485 |
| 2317,5953 | 293,35 | 1,190704 | 1,31 | -0,044 | -2,732 | -186,212 | -0,454 |
| 2317,5953 | 293,35 | 1,190704 | 1,36 | -0,042 | -2,827 | -177,747 | -0,433 |
| 2317,5953 | 293,35 | 1,190704 | 1,41 | -0,041 | -2,902 | -173,515 | -0,423 |
| 2332,0058 | 293,45 | 1,190669 | 1,47 | -0,041 | -2,956 | -173,515 | -0,423 |
| 2332,0058 | 293,45 | 1,190669 | 1,52 | -0,04 | -2,989 | -169,283 | -0,412 |
| 2332,0058 | 293,45 | 1,190669 | 1,57 | -0,04 | -3,000 | -169,283 | -0,412 |
| 2332,0058 | 293,45 | 1,190669 | 1,62 | -0,04 | -2,989 | -169,283 | -0,412 |
| 2332,0058 | 293,45 | 1,190669 | 1,68 | -0,041 | -2,956 | -173,515 | -0,423 |
| 2332,0058 | 293,45 | 1,190669 | 1,73 | -0,041 | -2,902 | -173,515 | -0,423 |
| 2346,4944 | 293,55 | 1,190634 | 1,78 | -0,042 | -2,827 | -177,747 | -0,433 |
| 2346,4944 | 293,55 | 1,190634 | 1,83 | -0,042 | -2,732 | -177,747 | -0,433 |
| 2346,4944 | 293,55 | 1,190634 | 1,88 | -0,041 | -2,618 | -173,515 | -0,423 |
| 2346,4944 | 293,55 | 1,190634 | 1,94 | -0,041 | -2,486 | -173,515 | -0,423 |
| 2361,0617 | 293,65 | 1,190599 | 1,99 | -0,04 | -2,338 | -169,283 | -0,412 |
| 2361,0617 | 293,65 | 1,190599 | 2,04 | -0,041 | -2,176 | -173,515 | -0,423 |
| 2361,0617 | 293,65 | 1,190599 | 2,09 | -0,041 | -2,000 | -173,515 | -0,423 |
| 2361,0617 | 293,65 | 1,190599 | 2,15 | -0,042 | -1,813 | -177,747 | -0,433 |
| 2375,7078 | 293,75 | 1,190563 | 2,20 | -0,042 | -1,618 | -177,747 | -0,433 |
| 2375,7078 | 293,75 | 1,190563 | 2,25 | -0,042 | -1,416 | -177,747 | -0,433 |
| 2375,7078 | 293,75 | 1,190563 | 2,30 | -0,042 | -1,209 | -177,747 | -0,433 |
| 2375,7078 | 293,75 | 1,190563 | 2,36 | -0,042 | -1,000 | -177,747 | -0,433 |
| 2375,7078 | 293,75 | 1,190563 | 2,41 | -0,042 | -0,791 | -177,747 | -0,433 |
| 2375,7078 | 293,75 | 1,190563 | 2,46 | -0,042 | -0,584 | -177,747 | -0,433 |
| 2390,4332 | 293,85 | 1,190528 | 2,51 | -0,042 | -0,382 | -177,747 | -0,433 |
| 2390,4332 | 293,85 | 1,190528 | 2,57 | -0,041 | -0,187 | -173,515 | -0,423 |
| 2390,4332 | 293,85 | 1,190528 | 2,62 | -0,041 | 0,000 | -173,515 | -0,423 |
| 2390,4332 | 293,85 | 1,190528 | 2,67 | -0,041 | 0,176 | -173,515 | -0,423 |
| 2405,2383 | 293,95 | 1,190492 | 2,72 | -0,042 | 0,338 | -177,747 | -0,433 |
| 2405,2383 | 293,95 | 1,190492 | 2,78 | -0,041 | 0,486 | -173,515 | -0,423 |
| 2420,1234 | 294,05 | 1,190456 | 2,83 | -0,041 | 0,618 | -173,515 | -0,423 |
| 2420,1234 | 294,05 | 1,190456 | 2,88 | -0,041 | 0,732 | -173,515 | -0,423 |
| 2420,1234 | 294,05 | 1,190456 | 2,93 | -0,041 | 0,827 | -173,515 | -0,423 |
| 2435,0888 | 294,15 | 1,190419 | 2,98 | -0,041 | 0,902 | -173,515 | -0,423 |
| 2435,0888 | 294,15 | 1,190419 | 3,04 | -0,041 | 0,956 | -173,515 | -0,423 |
| 2435,0888 | 294,15 | 1,190419 | 3,09 | -0,041 | 0,989 | -173,515 | -0,423 |
| 2435,0888 | 294,15 | 1,190419 | 3,14 | -0,041 | 1,000 | -173,515 | -0,423 |
$$p_{s} = 9,8065*10^{5}\frac{e^{0,01028T - \frac{7821,541}{T} + 82,86568}}{T^{11,48776}} = 9,8065*10^{5}\frac{e^{0,01028 \bullet 291,55 - \frac{7821,541}{291,55} + 82,86568}}{{291,55}^{11,48776}} = 2071,18\ Pa$$
Wnioski
Na załączonym wykresie widać różnice pomiędzy rozkładem ciśnień na walcu z uwzględnieniem lepkości czynnika i z pominięciem go. Krzywa widoczna na wykresie pokazuje rozkład ciśnień podczas opływu, a punkty dają nam obraz opływu podczas pomiaru. Porównując z wykresem w skrypcie dochodzę do wniosku, ze podczas opływu kuli nastąpiło oderwanie laminarnej warstwy przyściennej.