ASCII2MathML-SVG: TSHD Turbulence Settling Efficiency Calculator

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TypeOfGraph=LinearLogaritmic;
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");
initPicture();
drawGraphArea();
labda=lambda.value;
setPen("2","green");
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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`

The original ASCIIMathML and ASCIIsvg scripts have been developed by by Peter Jipsen, Chapman University (jipsen@chapman.edu)
LaTeXMathML has been developed by Douglas Woodall (and extended by Jeff Knisley), based on ASCIIMathML
Image fallback scripts have been developed by David Lippman based on MimeTex and MathTex of John Forkosh.
The version of ASCIIMathML used on this website, is a modified and extended version based on version 2.1 of Peter Jipsen, the new SVG library has been developed by Dr.ir. S.A. Miedema
Other sources: An ASCIIsvg manual by Robert Fant.  An ASCIIsvg manual by Peter Jipsen. An ASCIIMathML manual by James Gray.

Plugins and fonts required (depending on your browser): MIT MathML font packages, MathPlayer, Adobe SVGviewer
Look at: http://www.w3.org/TR/SVG11/ for detailed information about SVG.
Look at: http://www.w3.org/Math/ for detailed information about MathML

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
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