Surcharge angle of material used in conveyor calculations.
Trough angle of belt conveyor idler in degrees.
Covered belt width
IF
THEN
$$ b_{belt} = {B_{belt} - 0.25} \:,
{m}
$$
OTHERWISE
$$ b_{belt} = {0.9 \cdot B_{belt} - 0.05} \:,
{m}
$$
Trough angle
$$ \lambda_{idler_{rad}} = {\lambda_{idler} \cdot {\pi \over 180}} $$
Surcharge angle
$$ \beta_{surcharge_{rad}} = {\beta_{surcharge} \cdot {\pi \over 180}} $$
Cross sectional area of belt conveyor for idlers with 3 rollers.
Cross sectional area
$$ A_{conv_{3}} = {\left({ l_{base} + {( b_{belt} - l_{base} ) \over 2} \cdot \cos( \lambda_{idler_{rad}} ) }\right) \cdot {( b_{belt} - l_{base} ) \over 2} \cdot \sin( \lambda_{idler_{rad}} ) + \left({ {( l_{base} + \left({ b_{belt} - l_{base} }\right) \cdot \cos( \lambda_{idler_{rad}} ) ) \over 2 }}\right) ^ 2 \cdot \tan( \beta_{surcharge_{rad}} )} $$
Theoretical mass flow rate of a belt conveyor with 3 roll idlers, based on bulk material properties .
Mass flow rate
$$ Q_{conv_{m_{th_{3}}}} = {A_{conv_{3}} \cdot v_{conv} \cdot 3600 \cdot \rho_{bm}} $$