TSHD Turbulence Settling Efficiency Calculator

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setViewport(750,750,70);
setGraphArea(-4,0,0,1);
setGridandTicks(1,0.1,1,0.1);
setLabelsandTitle(BottomLeft,"Settling velocity/Flow velocity","Settling efficiency","Total settling efficiency for individual grains");
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labda=lambda.value;
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endagraph
Pointer coordinates: (x,y) Click coordinates: (x,y)
Input:  
Length L: m
Width W: m
Height H: m
Flow Q: m3/sec
Grain diameter d: mm
Friction coefficient l: -
 

if you change the friction coefficient, first you should update the graph.
Or click on the graph, while holding the Ctrl key.
Percentage water p: %
An empty hopper means 100% water, a hopper filled with sediment 0% water
Output:  
Height of sediment Hs m
Height of water Hw m
Total settling efficiency h: -
Settling velocity vs: m/sec
Hopper Load Parameter vo: m/sec
Flow velocity so: m/sec
   

Press the left mouse button and move over the diagram.
Digitised points:
 

Equations involved in the calculations

`v_s=8.925*((sqrt(1+95*R_d*d^3)-1)/(1000*d))` settling velocity in m/sec according to Budryck with d in mm

`v_o=(Q/(L*W))` Hopper Load Parameter in m/sec

`s_o=((Q*100)/(W*H*p))` flow velocity in m/sec

`eta_g=(v_s/v_o)` grain efficiency

Turbulent settling efficiency equations:

if:  `v_s/v_o<=1`

`eta_t=eta_g^0*(1-.184*eta_g^(+.885-.20*eta_g)*(1-tanh(eta_g^(-.13-.80*eta_g)*(log(v_s/s_o)-.2614-.5*log(lambda)+eta_g^(-.33-.94*eta_g)))))`

if:  `v_s/v_o>1`

`eta_t=eta_g^(-1)*(1-.184*eta_g^(-.69-.38*eta_g)*(1-tanh(eta_g^(+.77-.08*eta_g)*(log(v_s/s_o)-.2614-.5*log(lambda)+eta_g^(+1.01-.18*eta_g)))))`

Settling velocity equations:

Stokes: `Stokes` in mm/sec

Budryck: `Budryck` in mm/sec

Rittinger: `Rittinger` in mm/sec

Friction coefficient equations (see the Moody Diagram Calculator):

Hydraulic diameter `Dhr` for river flow or TSHD flow,

or `Dhp` for pipe flow

Relative roughness `epsilon=d/D_h`

Reynolds: `Reynolds` for calculating `lambda`

Swamee Jain: `SwameeJain` for calculating the friction coefficient `lambda`

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Copyright © Dr.ir. S.A. Miedema, Delft University of Technology, Faculty of Mechanical Engineering, Marine Technology & Materials Science
Department of Marine & Transport Technology, The Chair of Dredging Engineering