Given: Numbers for (a) flow through porous media with

L=

0.002m

, mean velocity

U=0.005(m)/(s)

; (b) hillslope with

L

=0.02m,U=0.1(m)/(s)

; and (c) stream with

L=1m

and

U

=1(m)/(s)

\ Find: Reynolds and bond numbers\ Solution: Properties of water:\

\\\ ho =1000k(g)/(m^(3));\\\\mu =1.79\\\\times 10^(-3)k(g)/(m^(**))s;\\\\sigma =0.0756(N)/(m)

\ Governing equations:\

Re=(U*\\\ ho _(w)*L)/(\\\\mu ),Bo=(\\\\gamma _(w)*L^(2))/(\\\\sigma )

\ Characteristic length

L

is grain diameter in (a), overland flow depth in (b) and flow depth in (c).\ Hydrology-Basic concepts

Given: Numbers for (a) flow through porous media with L= 0.002m, mean velocity U=0.005m/s; (b) hillslope with L =0.02m,U=0.1m/s; and (c) stream with L=1m and U =1m/s Find: Reynolds and bond numbers Solution: Properties of water: =1000kg/m3;=1.79103kg/ms;=0.0756N/m Governing equations: Re=UwLBo=wL2 Characteristic length L is grain diameter in (a), overland flow depth in (b) and flow depth in (c)