Question

RDerive using the Ralelh instability he relationship betwean the ligament diancter and the namber of resultng spharical Pareicles and ther diameter dusina A atomization

Answer 1

Solution :

Derivation is given below in the Fig.

Solution Rayleigh Instability diametes ed length of cylinder fem cohich is fonmed Ligament Initial voleme = Aedd Hatomi2ation pacduces NSphees with diamete D, then two two equations Parsible will be obsen ved unknowns aUne No volume change ethen ND3= Ld2 Ci) Nhen Seconc! eq,ation orface cnea enengy must be pesenued then ND2- TLd Ch) Pauting value af eqn- Ci) in eqn-ci) = Ld Ld D 2 D= 3d 7 D=1.5d Putting this et eqn-Ci), in we N2 L 9 Nd N=4L final panticle S12e 2.5 times oniginal N CNO af sphenical particles pen ligament) depends t anting leng th d diamet en of flud cy linden ligament dia

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