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https://github.com/danbulant/notes
synced 2026-05-20 04:48:47 +00:00
vault backup: 2022-11-21 20:08:25
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BIN
notes/data/Pasted image 20221121105111.png
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notes/data/Pasted image 20221121105435.png
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notes/data/Pasted image 20221121164250.png
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After Width: | Height: | Size: 11 KiB |
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|
@ -8,6 +8,8 @@ tags: [fyz, fyz/tekutiny, MOC, generated]
|
|||
- [[fyz/Mechanika tekutin/Hydraulická zařízení|Hydraulická zařízení]]
|
||||
- [[fyz/Mechanika tekutin/Hydrostatická tlaková síla|Hydrostatická tlaková síla]]
|
||||
- [[fyz/Mechanika tekutin/Hydrostatický paradox|Hydrostatický paradox]]
|
||||
- [[fyz/Mechanika tekutin/Příklady 14.11.|Příklady 14.11.]]
|
||||
- [[fyz/Mechanika tekutin/Proudění/Proudění|Proudění]]
|
||||
- [[fyz/Mechanika tekutin/Tekutiny|Tekutiny]]
|
||||
- [[fyz/Mechanika tekutin/Torricelliho pokus|Torricelliho pokus]]
|
||||
%% Zoottelkeeper: End of the autogenerated index file list %%
|
||||
|
|
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20
notes/fyz/Mechanika tekutin/Proudění/Bernoulliho rovnice.md
Normal file
20
notes/fyz/Mechanika tekutin/Proudění/Bernoulliho rovnice.md
Normal file
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@ -0,0 +1,20 @@
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# Bernoulliho rovnice
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||||
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||||
$$
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||||
\frac12\rho v^2+p=konst
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||||
$$
|
||||
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||||
Součet kinetické a tlakové potenciální energie kapaliny o jednotkovém objemu je ve všech částech vodorovné trubice stejný.
|
||||
|
||||
## Rychlost výtékání kapaliny z nádoby
|
||||
|
||||

|
||||
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||||
$h$ je rozdíl výšek hladiny a výšky díry kudy protéká kapalina
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$v = \sqrt{2gh}$
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||||
## Aerodynamický paradox
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||||
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||||
> Čím více foukáme mezi 2 listy papíru, tím více se přitahují.
|
||||
|
||||
Využívá se u rozprašovačů, stříkacích pistolí a karburátorů.
|
||||
8
notes/fyz/Mechanika tekutin/Proudění/Hmotnostní tok.md
Normal file
8
notes/fyz/Mechanika tekutin/Proudění/Hmotnostní tok.md
Normal file
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@ -0,0 +1,8 @@
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|||
# Hmotnostní tok
|
||||

|
||||
$$
|
||||
Q_m=\frac{m}t=\frac{\rho*V}t=\frac{\rho*S*h}t=\rho*S*v
|
||||
$$
|
||||
|
||||
$V$ = Objem
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||||
$v$ = rychlost proudění
|
||||
7
notes/fyz/Mechanika tekutin/Proudění/Objemový tok.md
Normal file
7
notes/fyz/Mechanika tekutin/Proudění/Objemový tok.md
Normal file
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@ -0,0 +1,7 @@
|
|||
# Objemový tok
|
||||
$$
|
||||
Q_V=\frac{V}t=\frac{S*h}t=S*v
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||||
$$
|
||||
$S$ = plošný průřez trubice
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||||
$V$ = objem
|
||||
$v$ = rychlost proudění
|
||||
11
notes/fyz/Mechanika tekutin/Proudění/Proudnice.md
Normal file
11
notes/fyz/Mechanika tekutin/Proudění/Proudnice.md
Normal file
|
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@ -0,0 +1,11 @@
|
|||
# Proudnice
|
||||
myšlená čára, jejíž tečna sestrojená v libovolném bodě má směr okamžité rychlosti pohybující se částice
|
||||
|
||||
- Znázorňuje trajektorie jednotlivých částic
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||||
- Každým bodem může procházet jenom jedna proudnice
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||||
|
||||
## Proudová trubice
|
||||
Prostor vymezen proudnicemi
|
||||
|
||||
## Proudové vlákno
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||||
Kapalina vymezená proudovou trubicí
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||||
20
notes/fyz/Mechanika tekutin/Proudění/Proudění.md
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20
notes/fyz/Mechanika tekutin/Proudění/Proudění.md
Normal file
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@ -0,0 +1,20 @@
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|||
# Proudění
|
||||
|
||||
## Změna poloměru
|
||||

|
||||
|
||||
$Q_V$ je konstantní - $Q_1=Q_2$
|
||||
$S_1v_1=S_2v_2$
|
||||
|
||||
## Rovnice spojitosti (kontinuity)
|
||||
|
||||
Navazuje na předchozí - v každém místě trubice je $S*v$ stejné/konstantní.
|
||||
|
||||
## Kapitoly
|
||||
%% Zoottelkeeper: Beginning of the autogenerated index file list %%
|
||||
- [[fyz/Mechanika tekutin/Proudění/Bernoulliho rovnice|Bernoulliho rovnice]]
|
||||
- [[fyz/Mechanika tekutin/Proudění/Hmotnostní tok|Hmotnostní tok]]
|
||||
- [[fyz/Mechanika tekutin/Proudění/Objemový tok|Objemový tok]]
|
||||
- [[fyz/Mechanika tekutin/Proudění/Proudnice|Proudnice]]
|
||||
- [[fyz/Mechanika tekutin/Proudění/Rozdělení|Rozdělení]]
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||||
%% Zoottelkeeper: End of the autogenerated index file list %%
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||||
9
notes/fyz/Mechanika tekutin/Proudění/Rozdělení.md
Normal file
9
notes/fyz/Mechanika tekutin/Proudění/Rozdělení.md
Normal file
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@ -0,0 +1,9 @@
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|||
# Rozdělení
|
||||
|
||||
## Ustálené proudění
|
||||
Nemění se okamžitá rychlost v čase (není “zrychlení” kapaliny)
|
||||
- také nestacionární proudění
|
||||
|
||||
## Neustálené proudění
|
||||
Mění se okamžitá rychlost v čase.
|
||||
- také nestacionární proudění
|
||||
121
notes/fyz/Mechanika tekutin/Příklady 14.11..md
Normal file
121
notes/fyz/Mechanika tekutin/Příklady 14.11..md
Normal file
|
|
@ -0,0 +1,121 @@
|
|||
# Příklady 14.11.
|
||||
|
||||
---
|
||||
$F_1=100N$
|
||||
$F_2$ … síla tlačení
|
||||
$S_1=2mm=2*10^{-3}m$
|
||||
$S_2=2cm=2*10^{-2}m$
|
||||
|
||||
$\frac{F_1}{S_1}=\frac{F_2}{S_2}$
|
||||
$F_2=\frac{F_1*S_2}{S_1}$
|
||||
|
||||
$F_2=\frac{100*2*10^{-2}}{2*10^{-3}}$
|
||||
$F_2=\frac{2}{2*10^{-3}}$
|
||||
$F_2=\frac1{10^{-3}}$
|
||||
$F_2=10^3N=1kN$
|
||||
|
||||
Musíme tlačit silou 1kN
|
||||
|
||||
---
|
||||
|
||||
$m=5kg$
|
||||
$\rho_t=1.9*10^{3}mkg^{-3}$
|
||||
$F_{vz}$ … vztlaková síla
|
||||
|
||||
$F_{vz}=\rho_kV_tg$
|
||||
$V_t=\frac{m}{\rho_t}$
|
||||
|
||||
$V_t=\frac5{1.9*10^3}\dot=2.63*10^{-3}m^3$
|
||||
$g=10$
|
||||
$F_{vz}=1*10^{3}*2.63*10^{-3}*10$
|
||||
$F_vz=2.63*10$
|
||||
|
||||
Na cihlu působí vztlaková síla 26.3N.
|
||||
|
||||
---
|
||||
|
||||
$F_1=32N$
|
||||
$F_2=52N$
|
||||
$\rho_t$ … hustota žuly
|
||||
|
||||
$\rho_t=\frac{F_2\rho_k}{F_2-F_1}$
|
||||
$\rho_t=\frac{32*1*10^3}{2*10}$
|
||||
$\rho_t=\frac{32*10^2}2$
|
||||
$\rho_t=16*10^2$
|
||||
|
||||
Hustota žuly je $1600kgm^{-3}$
|
||||
|
||||
---
|
||||
|
||||
$m_1=26.8g=2.68*10^{-2}kg$
|
||||
$m_2=16.9g=1.69*10^{-2}kg$
|
||||
$F_1=2.68*10^{-1}N$
|
||||
$F_2=1.69*10^{-1}N$
|
||||
$\rho_t=\frac{F_1\rho_k}{F_1-F_2}$
|
||||
$\rho_t=\frac{2.68*10^{-1}*10^3}{2.68*10^{-1}-1.69*10^{-1}}$
|
||||
$\rho_t=\frac{268}{0.099}$
|
||||
$\rho_t=2707kgm^{-3}$
|
||||
$V_t=\frac{m}{\rho_t}$
|
||||
$V_t=\frac{2.68*10^{-2}}{2707}$
|
||||
$V_t=9.92*10^{-5}m^3$
|
||||
|
||||
Hustota hliníku je $2707kgm^{-3}$.
|
||||
Objem klíče je $9.92*10^{-5}m^3$
|
||||
|
||||
----
|
||||
|
||||
$S=30cm^2=3*10^{-3}m^2$
|
||||
$v=0.5ms^{-1}$
|
||||
$Q_V$ … průtok vody za sekundu
|
||||
$V$ … objem vody která potrubím proteče za 1 minutu.
|
||||
|
||||
$Q_V=S_v$
|
||||
$Q_V=0.5*3*10^{-3}$
|
||||
$Q_V=1.5*10^{-3}m^3s^{-1}$
|
||||
$Q_V=1.5dm^3*s^{-1}=1.5l*s^{-1}$
|
||||
|
||||
Potrubím proteče 1.5l vody za sekundu.
|
||||
|
||||
$t=1m=60s$
|
||||
$V=Q_Vt$
|
||||
$V=1.5*60$
|
||||
$V=90l$
|
||||
|
||||
Potrubím za minut proteče 90l vody.
|
||||
|
||||
---
|
||||
|
||||
$t=5m=3*10^2s$
|
||||
$V=1500l=1.5*10^3l$
|
||||
$Q_V=\frac{V}t$
|
||||
$Q_V=\frac{1.5*10^3}{3*10^2}$
|
||||
$Q_V=\frac{1.5*10}3$
|
||||
$Q_V=5ls^{-1}$
|
||||
|
||||
Potrubím teče 5l za sekundu.
|
||||
|
||||
$t=3*10^2s$
|
||||
$V=1.5m^3$
|
||||
$S=5*10^{-3}m^2$
|
||||
$v=\frac{V}{St}$
|
||||
$v=\frac{1.5}{3*10^2*5*10^{-3}}$
|
||||
$v=\frac{1.5}{15*10^{-1}}$
|
||||
$v=1ms^{-1}$
|
||||
|
||||
Potrubím teče voda rychlostí $1ms^{-1}$.
|
||||
|
||||
---
|
||||
|
||||
$S_1=1.2*10^2cm^2$
|
||||
$S_2=20cm^2$
|
||||
$v_1=0.5ms^{-1}$
|
||||
$v_2$ … rychlost protékání v zúžené části
|
||||
|
||||
$S_1v_1=S_2v_2$
|
||||
$v_2=\frac{S_1v_1}{S_2}$
|
||||
$v_2=\frac{1.2*10^2*0.5}{20}$
|
||||
$v_2=\frac{0.6*10^2}{20}$
|
||||
$v_2=\frac{60}{20}$
|
||||
$v_2=3ms^{-1}$
|
||||
|
||||
Zúženou částí voda protéká rychlostí $3ms^{-1}$.
|
||||
Loading…
Reference in a new issue