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Trash racks

Values for calculation

$ \{Q_{max}\in\mathbb{R}\mid Q_{max}>0\} $
This set includes all real numbers that are greater than zero. Therefore, it contains only positive numbers. Zero and negative numbers are not included in this set.
$ Q_{max} $ $ \mathrm{m^3/s} $
$ \{w\in\mathbb{R}\mid w>0\} $
This set includes all real numbers that are greater than zero. Therefore, it contains only positive numbers. Zero and negative numbers are not included in this set.
$ w $ $ \mathrm{mm} $
$ \{h\in\mathbb{R}\mid h>0\} $
This set includes all real numbers that are greater than zero. Therefore, it contains only positive numbers. Zero and negative numbers are not included in this set.
$ h $ $ \mathrm{mm} $
$ \{t\in\mathbb{R}\mid t>0\} $
This set includes all real numbers that are greater than zero. Therefore, it contains only positive numbers. Zero and negative numbers are not included in this set.
$ t $ $ \mathrm{mm} $
$ \{b\in\mathbb{R}\mid b>0\} $
This set includes all real numbers that are greater than zero. Therefore, it contains only positive numbers. Zero and negative numbers are not included in this set.
$ b $ $ \mathrm{mm} $
$ \{g\in\mathbb{R}\mid g>0\} $
This set includes all real numbers that are greater than zero. Therefore, it contains only positive numbers. Zero and negative numbers are not included in this set.
$ g $ $ \mathrm{m/s^2} $
$ \{α\in\mathbb{R}\mid α>0\} $
This set includes all real numbers that are greater than zero. Therefore, it contains only positive numbers. Zero and negative numbers are not included in this set.
$ α $ $ \mathrm{°} $
$ \{K_s\in\mathbb{R}\mid K_s>0\} $
This set includes all real numbers that are greater than zero. Therefore, it contains only positive numbers. Zero and negative numbers are not included in this set.
$ K_s $

Calculation

Velocity of flow through trash rack, computed gross area

$$v=\cfrac{Q_{max}\cdot 10^6}{w\cdot h}$$
$v=\cfrac{Q_{max}\cdot 10^6}{w\cdot h}$
Equations in LaTeX code
v=\cfrac{Q_{max}\cdot 10^6}{w\cdot h}

Loss of head through racks

$$h_t=K_s\cdot\left(\cfrac{t}{b}\right)^{\cfrac{4}{3}}\cdot\cfrac{v^2}{2\cdot g}\cdot\sin{α}$$
$h_t=K_s\cdot\left(\cfrac{t}{b}\right)^{\cfrac{4}{3}}\cdot\cfrac{v^2}{2\cdot g}\cdot\sin{α}$
Equations in LaTeX code
h_t=K_s\cdot\left(\cfrac{t}{b}\right)^{\cfrac{4}{3}}\cdot\cfrac{v^2}{2\cdot g}\cdot\sin{α}

Loss coefficient

$$ζ=\cfrac{2\cdot g\cdot h_t}{v^2}$$
$ζ=\cfrac{2\cdot g\cdot h_t}{v^2}$
Equations in LaTeX code
ζ=\cfrac{2\cdot g\cdot h_t}{v^2}
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