Model help:FallVelocity: Difference between revisions

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1) Log in to the wiki
1) Log in to the wiki
2) Create a new page for each model, by using the following URL:
2) Create a new page for each model, by using the following URL:
   * http://csdms.colorado.edu/wiki/Model help:<modelname>
   * https://csdms.colorado.edu/wiki/Model help:<modelname>
   * Replace <modelname> with the name of a model
   * Replace <modelname> with the name of a model
3) Than follow the link "edit this page"
3) Than follow the link "edit this page"
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==Model parameters==
==Model parameters==
= First tab header =
= Input Files and Directories =
{|{{Prettytable}} class = "wikitable unsortable"  cellspacing="0" cellpadding="0" style="margin:0em 0em 0em 0;"
{|{{Prettytable}} class = "wikitable unsortable"  cellspacing="0" cellpadding="0" style="margin:0em 0em 0em 0;"
|-
|-
!Parameter!!Description!!Unit
!Parameter!!Description!!Unit
|-valign="top"
|-valign="top"
|width="20%"|<span class="remove_this_tag">First parameter</span>
|width="20%"|Input directory
|width="60%"|<span class="remove_this_tag">Description parameter</span>
|width="60%"|path to input files
|width="20%"|<span class="remove_this_tag">[Units]</span>
|width="20%"|
|-
|Site prefix
|Site prefix for Input/Output files
|
|-
|Case prefix
|Case prefix for Input/Output files
|
|-
|}
|}


= Second tab header =
= Run Parameters =
{|{{Prettytable}} class = "wikitable unsortable"  cellspacing="0"  cellpadding="0" style="margin:0em 0em 0em 0;"
{|{{Prettytable}} class = "wikitable unsortable"  cellspacing="0"  cellpadding="0" style="margin:0em 0em 0em 0;"
|-
|-
!Parameter!!Description!!Unit
!Parameter!!Description!!Unit
|-valign="top"
|-valign="top"
|width="20%"|<span class="remove_this_tag">First parameter</span>
|width="20%"|kinematic viscosity of water (ν)
|width="60%"|<span class="remove_this_tag">Description parameter</span>
|width="60%"|
|width="20%"|<span class="remove_this_tag">[Units]</span>
|width="20%"| m<sup>2</sup> / s
|-
|Submerged specific gravity of sediment (R)
|
| -
|-
|Grain size (D)
|
| mm
|-
|Acceleration due to gravity (g)
|
| -
|-
|}
|}


= Etc. tab header =
= About =
{|{{Prettytable}} class = "wikitable unsortable"  cellspacing="0"  cellpadding="0" style="margin:0em 0em 0em 0;"
|-
!Parameter!!Description!!Unit
|-valign="top"
|width="20%"|Model name
|width="60%"|name of the model
|width="20%"| -
|-
|Author name
|name of the model author
| -
|-
|}
<headertabs/>
<headertabs/>
</div>


==Uses ports==
==Uses ports==
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==Main equations==
==Main equations==
* Explicit particle Reynolds number
::::{|
::::{|
|width=800px|<math>Re_{p} = {\frac{\sqrt { R g D } D}{\nu}} </math>
|width=800px|<math>Re_{p} = {\frac{\sqrt { R g D } D}{\nu}} </math>
|width=50px align="right"|(1)
|width=50px align="right"|(1)
|}
|}
* Dimensionless fall velocity
::::{|
::::{|
|width=800px|<math>R_{f} = {\frac{v_{s}}{\sqrt { R g D }}} </math>
|width=800px|<math>R_{f} = exp \left ( -b_{1} + b_{2} ln \left ( Re_{p} \right ) - b_{3} \left ( ln \left ( Re_{p} \right ) \right ) ^2 - b_{4} \left ( ln \left ( Re_{p} \right ) \right ) ^3 + b_{5} \left ( ln \left ( Re_{p} \right ) \right ) ^4 \right ) </math>
|width=50px align="right"|(2)
|width=50px align="right"|(2)
|}
|}
* fall velocity
::::{|
::::{|
|width=800px|<math>R_{f} = exp \left ( -b_{1} + b_{2} ln \left ( Re_{p} \right ) - b_{3} \left ( ln \left ( Re_{p} \right ) \right ) ^2 - b_{4} \left ( ln \left ( Re_{p} \right ) \right ) ^3 + b_{5} \left ( ln \left ( Re_{p} \right ) \right ) ^4 \right ) </math>
|width=800px|<math>R_{f} = {\frac{v_{s}}{\sqrt { R g D }}} </math>
|width=50px align="right"|(3)
|width=50px align="right"|(3)
|}
|}
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| g
| g
| gravitational acceleration
| gravitational acceleration
| m / s<sup>2</sup>
| L / T<sup>2</sup>
|-
|-
| ν
| ν
| kinematic viscosity of water
| kinematic viscosity of water
| m<sup>2</sup> / s
| L<sup>2</sup> / T
|-
|-
| R
| R
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| D
| D
| grain size
| grain size
| mm
| L
|-
|-
| ρ<sub>s</sub>
| ρ<sub>s</sub>
| sediment density
| sediment density
| kg / m<sup>3</sup>
| M / L<sup>3</sup>
|-
|-
| ρ
| ρ
| water density
| water density
| kg / m<sup>3</sup>
| M / L<sup>3</sup>
|-
|-
|}
|}
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!Symbol!!Description!!Unit
!Symbol!!Description!!Unit
|-
|-
| V<sub>s</sub>
| v<sub>s</sub>
| fall velocity
| fall velocity
| cm / s
| L / T
|-
|-
| Re<sub>p</sub>
| Re<sub>p</sub>
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==Notes==
==Notes==
This formulation is only valid for Reynold’s numbers less than or equal to 2.5·106.  If Rep is greater than this upper limit, the function will alert the user, and exit the program.
b<sub>1</sub>, b<sub>2</sub>, b<sub>3</sub>, b<sub>4</sub>, b<sub>5</sub> are all parameters from Dietrich(1982).


This formulation is only valid for Reynold’s numbers less than or equal to 2.5·10<sup>6</sup>.  If Re<sub>p</sub> is greater than this upper limit, the function will alert the user, and exit the program.


==Examples==
==Examples==
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<span class="remove_this_tag">Follow the next steps to include images / movies of simulations:</span>
<span class="remove_this_tag">Follow the next steps to include images / movies of simulations:</span>
* <span class="remove_this_tag">Upload file: http://csdms.colorado.edu/wiki/Special:Upload</span>
* <span class="remove_this_tag">Upload file: https://csdms.colorado.edu/wiki/Special:Upload</span>
* <span class="remove_this_tag">Create link to the file on your page: <nowiki>[[Image:<file name>]]</nowiki>.</span>
* <span class="remove_this_tag">Create link to the file on your page: <nowiki>[[Image:<file name>]]</nowiki>.</span>


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==Links==
==Links==
*[[http://csdms.colorado.edu/wiki/Model:FallVelocity Model:FallVelocity]]
*[[Model:FallVelocity]]


[[Category:Utility components]]
[[Category:Utility components]]

Latest revision as of 17:16, 19 February 2018

The CSDMS Help System
The CSDMS Help System

FallVelocity

This model is used to calculate Particle fall velocity.

Model introduction

This model calculate fall velocity for spheres. Uses formulation of Dietrich (1982).

Model parameters

Parameter Description Unit
Input directory path to input files
Site prefix Site prefix for Input/Output files
Case prefix Case prefix for Input/Output files
Parameter Description Unit
kinematic viscosity of water (ν) m2 / s
Submerged specific gravity of sediment (R) -
Grain size (D) mm
Acceleration due to gravity (g) -
Parameter Description Unit
Model name name of the model -
Author name name of the model author -

Uses ports

This will be something that the CSDMS facility will add

Provides ports

This will be something that the CSDMS facility will add

Main equations

  • Explicit particle Reynolds number
<math>Re_{p} = {\frac{\sqrt { R g D } D}{\nu}} </math> (1)
  • Dimensionless fall velocity
<math>R_{f} = exp \left ( -b_{1} + b_{2} ln \left ( Re_{p} \right ) - b_{3} \left ( ln \left ( Re_{p} \right ) \right ) ^2 - b_{4} \left ( ln \left ( Re_{p} \right ) \right ) ^3 + b_{5} \left ( ln \left ( Re_{p} \right ) \right ) ^4 \right ) </math> (2)
  • fall velocity
<math>R_{f} = {\frac{v_{s}}{\sqrt { R g D }}} </math> (3)

Notes

b1, b2, b3, b4, b5 are all parameters from Dietrich(1982).

This formulation is only valid for Reynold’s numbers less than or equal to 2.5·106. If Rep is greater than this upper limit, the function will alert the user, and exit the program.

Examples

An example run with input parameters, BLD files, as well as a figure / movie of the output

Follow the next steps to include images / movies of simulations:

See also: Help:Images or Help:Movies

Developer(s)

Gary Parker

References

Dietrich, E. W., 1982, Settling velocity of natural particles, Water Resources Research, 18 (6), 1626-1982.

Links

Retrieved from "https://csdms.colorado.edu/csdms_wiki/index.php?title=Model_help:FallVelocity&oldid=216419"