diff options
| author | Claudius "keldu" Holeksa <mail@keldu.de> | 2025-11-11 20:25:59 +0100 |
|---|---|---|
| committer | Claudius "keldu" Holeksa <mail@keldu.de> | 2025-11-11 20:25:59 +0100 |
| commit | 57fbe0a348b5e79f2fe5b6fd3acd8296f70d7765 (patch) | |
| tree | 5467c9aa0b8de7897265fc6f5c44c48ebfc7dafd /typst | |
| parent | c60f58ae29b86e574d17e6c814b2d8c6806ca2f0 (diff) | |
| download | phd-fluid_mechanics_report-57fbe0a348b5e79f2fe5b6fd3acd8296f70d7765.tar.gz | |
progress
Diffstat (limited to 'typst')
| -rw-r--r-- | typst/main.typ | 9 |
1 files changed, 8 insertions, 1 deletions
diff --git a/typst/main.typ b/typst/main.typ index c3aec22..500f619 100644 --- a/typst/main.typ +++ b/typst/main.typ @@ -69,6 +69,13 @@ $ μ∇²u + f = ∇p,\ An additional restriction by the creeping flow equations is the selection of boundary criteria where it depends on an infinite space with a set solid boundary interface. +#math.equation( +block: true, +$ v = U "at" a = r,\ +v arrow 0 "as" a arrow infinity +$ +) + == Solid-Fluid single sphere interaction with Stokes flow With the previous assumptions a solid sphere of radius $r$ moving with a relative velocity $v$ in an unbounded creeping flow, @@ -87,7 +94,7 @@ than the possibly more correct value by Proudman and Pearson@proudman_pearson_19 //$ F = F_S ( 1 + (3/8)"Re" + (9/40)("Re")^2 * (log "Re" + gamma + (5/3) log 2 - (323/360)) + (27/80)*"Re"^3 log "Re" ) $ //) -Do the analitical derivation from sphere here +Do the analitical derivation from sphere and stokes here TODO == Lubrication forces between solid particles |