diff options
| -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 |