ASCII2MathML-SVG: Terminal Settling Velocity Calculator

agraph
setGraphType(LogaritmicLogaritmic);
setViewport(750,500,70); 
setGraphArea(-2,1,-1,3);
setGridandTicks(1,1,1,1);
setLabelsandTitle(BottomLeft,"Grain diameter in mm","Settling velocity in mm/sec","Terminal settling velocity");
setLegend(50,"horizontal",10,4,4);
setShowCoordinates(false);
initPicture();
drawGraphArea();
setPen(2,"green");
plot("Budryck(x)",-2,1);
drawLegendItem(2,"Budryck","rect");
setPen(2,"blue");
plot("Rittinger(x)",-2,1);
drawLegendItem(3,"Rittinger","rect");
setPen(2,"red");
plot("Stokes(x)",-2,1);
drawLegendItem(1,"Stokes","rect");
setPen(2,"black");
plot("TSV(x)",-2,1);
drawLegendItem(4,"Theoretical","rect");
legendBorder(2,"white");
axesBorder("2","black");
viewportBorder("3","black");
endagraph
Pointer coordinates: (x,y) Click coordinates: (x,y)
agraph
setGraphType(LogaritmicLogaritmic);
setViewport(750,500,70); 
setGraphArea(-2,1,-4,4);
setGridandTicks(1,1,1,1);
setLabelsandTitle(BottomLeft,"Grain diameter in mm","Reynolds number","Reynolds number vs grain diameter");
initPicture();
drawGraphArea();
setPen(2,"green");
plot("Rep(x)",-2,1);
axesBorder("2","black");
viewportBorder("3","black");
endagraph
agraph
setGraphType(LogaritmicLogaritmic);
setViewport(750,500,70); 
setGraphArea(-4,5,-1,5);
setGridandTicks(1,1,1,1);
setLabelsandTitle(BottomLeft,"Reynolds number","Drag coefficient","Drag coefficient vs Reynolds number");
initPicture();
drawGraphArea();
setPen(2,"green");
plot("Cdp(x)",-4,5);
axesBorder("2","black");
viewportBorder("3","black");
endagraph
Input:  
Grain diameter d: mm
Output:  
Settling velocity vs: mm/sec
Reynolds number Rep: -
Drag coefficient Cdp: -
   

Press the left mouse button and move over the diagram to change the grain diameter.

Digitised points:
 

Equations involved in the calculations

Settling velocity equations:

Theoretical: `tsv` in m/sec, shape coefficient `psi=0.7` for normal sand

Drag coefficient: `cdp` Cd value according to Turton & Levenspiel

Experimental:

Stokes: `Stokes` in mm/sec, for laminar flow with d<0.1 mm

Budryck: `Budryck` in mm/sec, transition zone with 0.1 mm<d<1 mm

Rittinger: `Rittinger` in mm/sec, for turbulent flow with d>1 mm

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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