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(ed)h(in)f(the)g(Sho)l(w)l(er)1503 1088 y Fg(An)m(thon)m(y)34 b(Ramirez)2259 1052 y Ff(\003)1540 1284 y Fg(Octob)s(er)f(7,)f(2001) 1711 1666 y Fe(Abstract)431 1796 y Fd(Lik)n(e)27 b(millions,)h(p)r (erhaps)f(ev)n(en)f(billions,)j(of)e(p)r(eople,)h(Da)n(vid)f(Sc)n (hmidt)d(of)k(Amherst,)e(Mass.,)j(tak)n(es)e(a)316 1887 y(sho)n(w)n(er)g(ev)n(ery)f(morning.)36 b(F)-6 b(or)27 b(the)f(last)h(few)g(y)n(ears,)g(b)r(et)n(w)n(een)g(\014rst)f(spritz)g (and)g(\014nal)h(drain,)g(a)g(question)316 1978 y(has)f(v)n(exed)f (him:)33 b(wh)n(y)25 b(do)r(es)h(the)g(sho)n(w)n(er)g(curtain)g(suc)n (k)f(in?)109 2128 y Fc(T)-7 b(o)r(da)n(y)g(,)32 b(thanks)g(to)h ($28,000)c(w)n(orth)j(of)g(high-p)r(o)n(w)n(ered)e(computer)i(soft)n(w) n(are,)g(a)g(Ph.D.)h(in)f(engineering)f(and)109 2227 y(to)r(o)39 b(m)n(uc)n(h)h(free)g(time,)j(Dr.)d(Sc)n(hmidt,)k(31,)e(a)d (mec)n(hanical)g(engineering)g(professor)f(at)i(the)g(Univ)n(ersit)n(y) f(of)109 2327 y(Massac)n(h)n(usetts,)23 b(b)r(eliev)n(es)g(he)h(has)f (an)h(answ)n(er.)34 b(It)24 b(has)g(to)f(do)h(with)g(wh)n(y)g (airplanes)e(\015y)-7 b(,)25 b(h)n(urricanes)d(t)n(wist)i(and)109 2427 y(apples)j(fall.)233 2526 y(T)-7 b(rue,)25 b(the)h(m)n(ystery)e (of)h(the)g(suc)n(king)f(sho)n(w)n(er)f(curtain)i(do)r(es)f(not)h(rank) f(high)h(on)g(the)g(ladder)f(of)h(mankind's)109 2626 y(c)n(hallenges,)31 b(and)h(he)f(himself)i(nev)n(er)d(encoun)n(tered)h (a)g(suc)n(king)g(curtain)g(un)n(til)i(he)e(sho)n(w)n(ered)f(one)i(da)n (y)e(at)i(his)109 2726 y(mother-in-la)n(w's)27 b(house.)39 b(There,)29 b(with)g(the)g(sho)n(w)n(erhead)e(hissing)h(a)n(w)n(a)n(y) -7 b(,)28 b(the)h(corner)e(of)i(her)f(gossamer-thin)109 2825 y(sho)n(w)n(er)d(curtain)j(billo)n(w)n(ed)f(in)g(and)h(clung)f (clammily)h(to)f(his)h(leg.)36 b(`It)28 b(suc)n(k)n(ed)f(b)r (eautifully)-7 b(,')28 b(he)g(recalled.)233 2925 y(F)-7 b(or)25 b(y)n(ears,)e(apparen)n(tly)-7 b(,)25 b(engineering)f (cognoscen)n(ti)f(and)i(amateur)f(scien)n(tists)h(ha)n(v)n(e)f (wrestled)g(with)i(cling-)109 3024 y(ing)31 b(sho)n(w)n(er)g(curtains.) 49 b(In)32 b(1994,)f(Mr.)h(Sc)n(hmidt)h(encoun)n(tered)e(the)h (seemingly)g(h)n(umdrum)g(problem)f(on)h(his)109 3124 y(do)r(ctoral)38 b(examinations)g(at)h(the)g(Univ)n(ersit)n(y)f(of)h (Wisconsin.)72 b(One)38 b(camp)h(fa)n(v)n(ors)e(something)i(called)g (the)109 3224 y(Bernoulli)23 b(principle,)i(whic)n(h)f(holds)g(that)h (as)e(w)n(ater,)h(air)g(and)g(other)g(\015uids)g(accelerate,)g(their)g (pressure)f(drops,)109 3323 y(leading)g(to)h(lift.)36 b(Lik)n(e)24 b(an)f(airplane)g(wing,)h(the)h(sho)n(w)n(er)d(curtain)h (mo)n(v)n(es,)h(the)g(Bernoulli)f(bac)n(k)n(ers)f(sa)n(y)-7 b(,)23 b(b)r(ecause)109 3423 y(w)n(ater)j(from)h(the)h(sho)n(w)n (erhead)e(accelerates)g(air)g(on)i(one)f(side,)h(letting)f(air)g(rush)g (in)h(and)g(mo)n(v)n(e)e(the)i(curtain.)233 3523 y(Another)i(camp)f(fa) n(v)n(ors)f(the)i(buo)n(y)n(ancy)e(theory)-7 b(.)43 b(Hot)29 b(air)g(on)h(the)g(sho)n(w)n(er)e(side)h(rises,)h(leading)f(to)g(co)r (oler)109 3622 y(air)c(pushing)h(the)g(curtain)f(in.)37 b(But)26 b(no)g(single)f(theory)h(clinc)n(hed)f(the)i(question.)36 b(Curtains,)25 b(for)h(example,)g(still)109 3722 y(billo)n(w)h(in)h (cold)f(sho)n(w)n(ers.)233 3821 y(En)n(ter)c(Professor)d(Sc)n(hmidt,)25 b(with)f(an)f(industrial-strength)f(computer)h(program)e(he)i(has)g (help)r(ed)h(dev)n(elop.)109 3921 y(He)k(is)g(an)g(exp)r(ert)h(in)f (the)h(computer)f(mo)r(deling,)g(or)g(imaging,)f(of)i(spra)n(ys,)e (whic)n(h)h(is)g(useful)h(in)f(diesel)h(engines)109 4021 y(and)d(the)h(lik)n(e.)36 b(First,)26 b(he)h(drafted)f(a)g(computer)g (image)g(of)g(his)h(mother-in-la)n(w's)d(bath)n(tub,)j(with)g(its)g(t)n (ypically)109 4120 y(curv)n(ed)32 b(shap)r(es,)h(then)h(\014lled)f(it)g (with)h(50,000)c(tetrahedral)i(cells,)i(or)e(p)n(yramid-lik)n(e)f (structures,)i(that)h(sense)109 4220 y(v)n(elo)r(cit)n(y)g(and)h (pressure)e(in)i(three)g(dimensions.)59 b(Finally)-7 b(,)37 b(the)e(`sho)n(w)n(er')f(\015o)n(w)n(ed)g(for)g(30)g(seconds)g (at)h(ab)r(out)109 4320 y(eigh)n(t)27 b(gallons)f(p)r(er)i(min)n(ute,)g (a)f(bracing)f(blast.)233 4419 y(In)i(the)h(end,)f(Dr.)g(Sc)n(hmidt's)h (home)e(computer)h(crunc)n(hed)f(n)n(um)n(b)r(ers)h(for)f(the)i(b)r (etter)f(part)g(of)g(t)n(w)n(o)f(w)n(eeks,)109 4519 y(or)c(1.5)g (trillion)h(calculations,)g(leading)f(to)h(some)g(surprising)e(answ)n (ers)h(|)h(surprising,)f(at)h(least,)h(for)e(engineers.)233 4618 y(The)31 b(sho)n(w)n(er's)f(w)n(ater)g(droplets)g(decelerate)h (under)g(the)g(in\015uence)h(of)f(aero)r(dynamic)f(drag,)h (transferring)109 4718 y(energy)g(to)i(the)g(bath)n(tub's)g(air,)h (whic)n(h)e(b)r(egins)h(to)g(t)n(wist)g(lik)n(e)f(a)h(miniature)f(h)n (urricane)g(turned)h(on)f(its)h(side.)109 4818 y(As)e(in)g(the)g(ey)n (e)f(of)g(a)h(h)n(urricane,)f(the)h(pressure)e(in)j(the)f(cen)n(ter)f (of)g(this)i(disturbance)e(is)g(lo)n(w,)h(pulling)g(on)g(the)109 4917 y(sho)n(w)n(er)c(curtain.)43 b(Curtain)29 b(ro)r(ds)g(k)n(eep)g (the)h(top)f(of)h(the)g(curtain)f(in)g(place,)h(but)g(b)r(elo)n(w)f (the)h(sho)n(w)n(erhead)e(the)109 5017 y(b)r(ottom)g(of)f(the)h (curtain.)14 b(.)f(.)h(suc)n(ks)27 b(in.)233 5117 y(A)21 b(sho)n(w)n(er)d(do)r(or,)j(hea)n(vy)e(sho)n(w)n(er)g(curtain,)i(or)f (no)g(curtain)f(at)i(all,)g(solv)n(es)e(the)i(problem,)g(Professor)c (Sc)n(hmidt)109 5216 y(ac)n(kno)n(wledges.)34 b(But)28 b(y)n(ou)f(knew)g(that)h(already)-7 b(.)p 109 5381 1418 4 v 200 5435 a Fb(\003)236 5458 y Fa(IgNob)r(el)24 b(Laureate,)h(2001) 1860 5707 y Fc(1)p eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF