Schemat stanowiska:
Wzory wyjściowe i wynikowe:
$$\varrho_{0} = \frac{1}{R_{s}} \bullet \frac{1 + \frac{0,622 \bullet \varphi \bullet p_{s}}{p - \varphi \bullet p_{s}}}{1 + \frac{\varphi \bullet p_{s}}{p - \varphi \bullet p_{s}}} \bullet \frac{p}{T}$$
$$p_{s} = 9,8065 \bullet 10^{5} \bullet \frac{e^{0,01028T - \frac{7821,541}{T} + 82,86568}}{T^{11,48776}}$$
$$\mu = \mu_{0} \bullet \frac{273 + C}{T + C} \bullet \left( \frac{T}{273} \right)^{\frac{3}{2}}$$
$$\rho_{w} = \frac{1}{R_{s}} \bullet \frac{p_{w}}{T_{w}}$$
$$\rho = \rho_{0} \bullet \frac{p_{b} - hg\rho_{m}}{p_{b}}$$
$$q_{v} = q_{\text{vr}} \bullet \sqrt{\frac{\rho_{\text{wz}}}{\rho}} \bullet \frac{p_{b}}{p_{b} - hg\rho_{m}}$$
$$\text{Re} = \frac{4 \bullet q_{v} \bullet \rho}{\pi \bullet d \bullet \mu}$$
$$\lambda = \frac{d}{l} \bullet \left( \frac{\pi d^{2}}{4q_{\text{vr}}} \right)^{2} \bullet \frac{2}{\rho_{w}} \bullet \frac{\left( p_{b} - \rho_{m}gh \right) \bullet \rho_{m}gh}{p_{b}}$$
Indywidualne przykłady obliczeń:
$$p_{s} = 9,8065 \bullet 10^{5} \bullet \frac{e^{0,01028 292 - \frac{7821,541}{292} + 82,86568}}{292^{11,48776}} = 2130,53$$
$$\varrho_{0} = \frac{1}{R_{s}} \bullet \frac{1 + \frac{0,622 \bullet 0,51 \bullet 2130,53}{99900 - 0,51 \bullet 2130,53}}{1 + \frac{0,51 \bullet 2130,53}{99900 - 0,51 \bullet 2130,53}} \bullet \frac{99900}{292} = 1,186753$$
$$\mu = 18,06 10^{5} \bullet \frac{273 + 112}{292 + 112} \bullet \left( \frac{292}{273} \right)^{\frac{3}{2}} = 1,9 10^{- 5}$$
$$\rho_{w} = \frac{1}{273} \bullet \frac{101325}{288} = 1,225$$
$$\rho = 1,18 \bullet \frac{99900 - 1,681 9,81 1000}{99900} = 0,9908$$
$$q_{v} = 0,0017 \bullet \sqrt{\frac{1,225}{1,18}} \bullet \frac{99900}{99900 - 1,681 9,81 1000} = 0,002069$$
$$\text{Re} = \frac{4 \bullet 0,002069 \bullet 0,9908}{\pi \bullet 0,00737 \bullet 1,9 10^{- 5}} = 18599,97$$
$\lambda = \frac{1}{100} \bullet \left( \frac{\pi{0,00737}^{2}}{4 0,0017} \right)^{2} \bullet \frac{2}{1,225} \bullet \frac{\left( 99900 - 1000 9,81 1,68 \right) \bullet 1000 9,81 0,314}{99900}$=0,02641
Tabele wynikowe:
d | l | ps | ρ0 | μ | ρw |
---|---|---|---|---|---|
m | m | Pa | kg/m3 | Pa s | kg/m3 |
0,00737 | 100d | 2130,53 | 1,19 | 1,9·10-5 | 1,22 |
qvr | Δh | h1+h2 | ρ | qv | Re | λ |
---|---|---|---|---|---|---|
m3/s | m | m | kg/m3 | m3/s | - | - |
0,0017 | 0,314 | 1,68 | 0,99 | 0,0021 | 18600 | 0,026 |
0,0016 | 0,275 | 1,51 | 1,01 | 0,0019 | 17506 | 0,027 |
0,0015 | 0,258 | 1,44 | 1,02 | 0,0018 | 16412 | 0,029 |
0,0014 | 0,203 | 1,23 | 1,04 | 0,0016 | 15044 | 0,028 |
0,0012 | 0,190 | 1,16 | 1,05 | 0,0014 | 13676 | 0,031 |
0,0011 | 0,150 | 1,07 | 1,06 | 0,0013 | 12309 | 0,031 |
0,0010 | 0,128 | 1,10 | 1,06 | 0,0011 | 10941 | 0,033 |
0,0008 | 0,095 | 1,16 | 1,05 | 0,0010 | 9300 | 0,034 |
0,0007 | 0,080 | 1,19 | 1,05 | 0,0009 | 8206 | 0,037 |
0,0006 | 0,060 | 1,20 | 1,05 | 0,0007 | 6838 | 0,039 |
0,0005 | 0,042 | 1,22 | 1,04 | 0,0006 | 5471 | 0,043 |
0,0003 | 0,019 | 1,25 | 1,04 | 0,0004 | 3419 | 0,050 |
0,0002 | 0,008 | 1,25 | 1,04 | 0,0003 | 2735 | 0,033 |
0,0002 | 0,006 | 1,25 | 1,04 | 0,0002 | 2188 | 0,038 |
0,0001 | 0,004 | 1,25 | 1,04 | 0,0002 | 1641 | 0,045 |
0,0001 | 0,003 | 1,26 | 1,04 | 0,0001 | 1094 | 0,077 |
Wykres:
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