6. Wykres linii ciśnień
a) Obliczenia
- odcinek 2-3 (kolanko)
RLC + 0 + 0 = Rpw + $\frac{p_{k1}}{\gamma}$ + $\frac{{v_{\text{rze}}}^{2}}{2g}$ + h2-3
$\frac{p_{k1}}{\gamma} = \text{RLC} - \ R_{\text{pw}} - \ \frac{{v_{\text{rze}}}^{2}}{2g} - \ h_{2 - 3} = 198,85 - 170,00 - 0,05 - 2,60 = 26,20\ m\ $
- odcinek 1-2
$RLC + 0 + 0 = R_{k2} + \ \frac{p_{k2}}{\gamma} + \ \frac{{v_{\text{rze}}}^{2}}{2g} + \ h_{1 - 2}$ (Rk1 = Rp)
$\frac{p_{k2}}{\gamma} = \text{RLC} - \ R_{k2} - \ \frac{{v_{\text{rze}}}^{2}}{2g} - \ h_{1 - 2} = 198,85 - 46,67 - 0,05 - 0,221 = 151,909m$
- odcinek 0-1
$\frac{p_{k3p}}{\gamma} + \ \frac{{v_{\text{rze}}}^{2}}{2g} + \ R_{p} = \ \frac{p_{s}}{\gamma} + \ \frac{{v_{\text{rze}}}^{2}}{2g} + \ R_{p} + \ \lambda\frac{L_{k3 - 1}}{D_{\text{norm}}} \bullet \frac{{v_{\text{rze}}}^{2}}{2g}$
$\frac{p_{k3p}}{\gamma} = \frac{p_{s}}{\gamma} + \ \lambda\frac{L_{k3 - 1}}{D_{\text{norm}}} \bullet \frac{{v_{\text{rze}}}^{2}}{2g} = \ - 7,5 + 0,013 \bullet \frac{25}{0,5} \bullet \frac{{(0,99)}^{2}}{2 \bullet 9,81} = \ - 7,47\ m$
$\frac{p_{k3l}}{\gamma} + \ \frac{{v_{\text{rze}}}^{2}}{2g} + \ R_{p} = \ \frac{p_{s}}{\gamma} + \ \frac{{v_{\text{rze}}}^{2}}{2g} + \ R_{p} + \ \lambda\frac{L_{k3 - 1}}{D_{\text{norm}}} \bullet \frac{{v_{\text{rze}}}^{2}}{2g} + \ \xi_{2} \bullet \frac{{v_{\text{rze}}}^{2}}{2g}$
$\frac{p_{k3l}}{\gamma} = \frac{p_{s}}{\gamma} + \ \left( \lambda \bullet \frac{L_{k3 - 1}}{D_{\text{norm}}} + \xi_{2} \right)\frac{{v_{\text{rze}}}^{2}}{2g} = \ - 7,5 + \left( 0,013 \bullet \frac{25}{0,5} + \ 0,98 \right) \bullet \frac{{(0,99)}^{2}}{2 \bullet 9,81} = \ - 7,42\ m$
$\frac{p_{k4p}}{\gamma} + \ \frac{{v_{\text{rze}}}^{2}}{2g} + \ R_{4} = \ \frac{p_{s}}{\gamma} + \ \frac{{v_{\text{rze}}}^{2}}{2g} + \ R_{p} + \ \lambda\frac{L_{k4 - 1}}{D_{\text{norm}}} \bullet \frac{{v_{\text{rze}}}^{2}}{2g} + \xi_{2} \bullet \frac{{v_{\text{rze}}}^{2}}{2g}$
$\frac{p_{k4p}}{\gamma} = \frac{p_{s}}{\gamma} + R_{p} - \ R_{4} + \left( \lambda\frac{L_{k4 - 1}}{D_{\text{norm}}} + \xi_{2} \right)\ \bullet \frac{{v_{\text{rze}}}^{2}}{2g} = - 7,5 + 15 + \left( 0,013 \bullet \frac{40}{0,5} + 0,98 \right) \bullet \frac{\left( 0,99 \right)^{2}}{2 \bullet 9,81} = 7,60m$
$\frac{p_{k4l}}{\gamma} + \ \frac{{v_{\text{rze}}}^{2}}{2g} + \ R_{4} = \ \frac{p_{s}}{\gamma} + \ \frac{{v_{\text{rze}}}^{2}}{2g} + \ R_{p} + \ \lambda\frac{L_{k4 - 1}}{D_{\text{norm}}} \bullet \frac{{v_{\text{rze}}}^{2}}{2g} + \ \xi_{2} \bullet \frac{{v_{\text{rze}}}^{2}}{2g} \bullet 2$
$\frac{p_{k4l}}{\gamma} = R_{p} - R_{4} + \frac{p_{s}}{\gamma} + \ \left( \lambda \bullet \frac{L_{k4 - 1}}{D_{\text{norm}}} + 2 \bullet \xi_{2} \right)\frac{{v_{\text{rze}}}^{2}}{2g} = 15 - 7,5 + \left( 0,013 \bullet \frac{40}{0,5} + 2 \bullet 0,98 \right) \bullet \frac{\left( 0,99 \right)^{2}}{2 \bullet 9,81} = 7,65m$
$\frac{p_{k5p}}{\gamma} + \ \frac{{v_{\text{rze}}}^{2}}{2g} + \ R_{5} = \ \frac{p_{s}}{\gamma} + \ \frac{{v_{\text{rze}}}^{2}}{2g} + \ R_{p} + \ \lambda\frac{L_{k5 - 1}}{D_{\text{norm}}} \bullet \frac{{v_{\text{rze}}}^{2}}{2g}$ $+ \ \xi_{2} \bullet \frac{{v_{\text{rze}}}^{2}}{2g} \bullet 2$ (R5=R4)
$\frac{p_{k5p}}{\gamma} = \frac{p_{s}}{\gamma} + R_{p} - \ R_{5} + \left( \lambda\frac{L_{k5 - 1}}{D_{\text{norm}}} + 2\xi_{2} \right)\ \bullet \frac{{v_{\text{rze}}}^{2}}{2g} = - 7,5 + 15 + \left( 0,013 \bullet \frac{85}{0,5} + 2 \bullet 0,98 \right) \bullet \frac{\left( 0,99 \right)^{2}}{2 \bullet 9,81} = \ 7,71m$
$\frac{p_{k5l}}{\gamma} + \ \frac{{v_{\text{rze}}}^{2}}{2g} + \ R_{5} = \ \frac{p_{s}}{\gamma} + \ \frac{{v_{\text{rze}}}^{2}}{2g} + \ R_{p} + \ \lambda\frac{L_{k5 - 1}}{D_{\text{norm}}} \bullet \frac{{v_{\text{rze}}}^{2}}{2g} + \ \xi_{2} \bullet \frac{{v_{\text{rze}}}^{2}}{2g} \bullet 3$
$\frac{p_{k5l}}{\gamma} = R_{p} - R_{5} + \frac{p_{s}}{\gamma} + \ \left( \lambda \bullet \frac{L_{k5 - 1}}{D_{\text{norm}}} + \xi_{2} \right)\frac{{v_{\text{rze}}}^{2}}{2g} = 15 - 7,5 + \left( 0,013 \bullet \frac{85}{0,5} + 3 \bullet 0,98 \right) \bullet \frac{\left( 0,99 \right)^{2}}{2 \bullet 9,81} = 7,76m$
$\frac{p_{k6p}}{\gamma} + \ \frac{{v_{\text{rze}}}^{2}}{2g} + \ R_{6} = \ \frac{p_{s}}{\gamma} + \ \frac{{v_{\text{rze}}}^{2}}{2g} + \ R_{p} + \ \lambda\frac{L_{k6 - 1}}{D_{n\text{orm}}} \bullet \frac{{v_{\text{rze}}}^{2}}{2g} + \ \xi_{2} \bullet \frac{{v_{\text{rze}}}^{2}}{2g} \bullet 3$
$\frac{p_{k6p}}{\gamma} = \frac{p_{s}}{\gamma} + R_{p} - \ R_{6} + \lambda\frac{L_{k6 - 1}}{D_{\text{norm}}}\ \bullet \frac{{v_{\text{rze}}}^{2}}{2g} = - 7,5 + 30 + \left( 0,013 \bullet \frac{100}{0,5} + 3 \bullet 0,98 \right) \bullet \frac{\left( 0,99 \right)^{2}}{2 \bullet 9,81} = 22,78m$
$\frac{p_{k6l}}{\gamma} + \ \frac{{v_{\text{rze}}}^{2}}{2g} + \ R_{6} = \ \frac{p_{s}}{\gamma} + \ \frac{{v_{\text{rze}}}^{2}}{2g} + \ R_{p} + \ \lambda\frac{L_{k6 - 1}}{D_{\text{norm}}} \bullet \frac{{v_{\text{rze}}}^{2}}{2g} + \ \xi_{2} \bullet \frac{{v_{\text{rze}}}^{2}}{2g} \bullet 3 + \xi_{1} \bullet \frac{{v_{\text{rze}}}^{2}}{2g}$
$$\frac{p_{k6l}}{\gamma} = R_{p} - R_{6} + \frac{p_{s}}{\gamma} + \ \left( \lambda \bullet \frac{L_{k6 - 1}}{D_{\text{norm}}} + {3 \bullet \xi}_{2} + \xi_{1} \right)\frac{{v_{\text{rze}}}^{2}}{2g} =$$
=$30 - 7,5 + \left( 0,013 \bullet \frac{100}{0,5} + 0,98 \bullet 3 + 10 \right) \bullet \frac{\left( 0,99 \right)^{2}}{2 \bullet 9,81} = 23,28m$