> restart:#"m12_p09"

Determinar la velocidad de evaporación de una gota de 1 mm de diámetro moviéndose a 10 m/s en aire a 25 ºC, 50%RH y 100 kPa.

Datos:

> read`../therm_eq.m`:read`../therm_const.m`:read`../therm_proc.m`:with(therm_proc):

> su1:="Aire":su2:="H2O":dat:=[D=0.001*m_,v=10*m_/s_,T0=(25+273)*K_,phi0=0.5,Di=22e-6*m_^2/s_,Sh=2+0.6*Re_^(1/2)*Sc^(1/3),Nu=2+0.6*Re_^(1/2)*Pr^(1/3)];

[D = `+`(`*`(0.1e-2, `*`(m_))), v = `+`(`/`(`*`(10, `*`(m_)), `*`(s_))), T0 = `+`(`*`(298, `*`(K_))), phi0 = .5, Di = `+`(`/`(`*`(0.22e-4, `*`(`^`(m_, 2))), `*`(s_))), Sh = `+`(2, `*`(.6, `*`(`^`(Re_,...

Esquema:

Eqs. const.:

> Adat:=get_gas_data(su1):Adat:=subs(c[p]=c[pa],R=R[a],M=M[a],T[b]=nada,[Adat]):Wgdat:=get_gas_data(su2):Wgdat:=subs(c[p]=c[pv],R=R[v],M=M[v],[Wgdat]):Wldat:=get_liq_data(su2):Wdat:=op(Wgdat),Wldat:get_pv_data(su2):dat:=op(dat),Const,SI2,SI1:

> mu_:=subs(Adat,mu);rho_:=subs(Adat,dat,p0/(R[a]*T0));nu_:=subs(Adat,dat,mu/rho_);Sc_:=subs(dat,nu_/Di);Re_:=subs(dat,v*D/nu_);Sh__:=subs(dat,Sc=Sc_,dat,Sh);hm:=Sh*Di/D;hm_:=subs(dat,Sh__*Di/D);eqTwet:=h1=hsa;h=h(T,w);eq8_8;w0_:=subs(dat,evalf(subs(dat,w(phi0,T0,p0))));h0_:=subs(Adat,Wdat,T=T0,dat,h(T,w0_));Tsa_:=fsolve(subs(dat,SI0,h0_=subs(Adat,Wdat,h(T,w(1,T,p0)))),T=200..400)*K_;Tsa=TKC(%);wsa_:=subs(dat,evalf(subs(dat,w(1,Tsa_,p0))));A_:=evalf(subs(dat,Pi*D^2));mdot_:=subs(dat,hm_*A_*rho_*(wsa_-w0_));m0_:=evalf(subs(Wdat,dat,rho*Pi*D^3/6));tevap_:=subs(dat,m0_/mdot_);

`+`(`*`(0.18e-4, `*`(Pa_, `*`(s_))))
`+`(`/`(`*`(1.170, `*`(kg_)), `*`(`^`(m_, 3))))
`+`(`/`(`*`(0.1538e-4, `*`(`^`(m_, 2))), `*`(s_)))
.6990
650.2
15.58
`/`(`*`(Sh, `*`(Di)), `*`(D))
`+`(`/`(`*`(.3428, `*`(m_)), `*`(s_)))
h1 = hsa
h = `+`(`*`(c[pa], `*`(`+`(T, `-`(T[f])))), `*`(w, `*`(`+`(h[lv0], `-`(`*`(`+`(c[pv], `-`(c)), `*`(`+`(T[b], `-`(T[f]))))), `*`(c[pv], `*`(`+`(T, `-`(T[f]))))))))
w = `/`(`*`(Mva), `*`(`+`(`/`(`*`(p), `*`(phi, `*`(p[v](T)))), `-`(1))))
0.9990e-2
`+`(`/`(`*`(0.5041e5, `*`(J_)), `*`(kg_)))
`+`(`*`(290.7, `*`(K_)))
Tsa = `+`(`*`(17.5, `*`(?C)))
0.1293e-1
`+`(`*`(0.3142e-5, `*`(`^`(m_, 2))))
`+`(`/`(`*`(0.3704e-8, `*`(kg_)), `*`(s_)))
`+`(`*`(0.5225e-6, `*`(kg_)))
`+`(`*`(141.1, `*`(s_)))

> Pr_:=subs(Adat,dat,mu_*c[pa]/k);Nu__:=subs(dat,Pr=Pr_,dat,Nu);h_:=subs(Adat,dat,Nu__*k/D);Qdot_:=subs(dat,h_*A_*(T0-Tsa_));mdot_:=subs(Wdat,dat,Qdot_/h[lv0]);tevap_:=subs(dat,m0_/mdot_);

.7529
15.92
`+`(`/`(`*`(382.1, `*`(W_)), `*`(`^`(m_, 2), `*`(K_))))
`+`(`*`(0.8767e-2, `*`(W_)))
`+`(`/`(`*`(0.3885e-8, `*`(kg_)), `*`(s_)))
`+`(`*`(134.5, `*`(s_)))

>