化学反应工程基础教案

1415/26/2009••••••••,4.14.1.11425/26/2009•RTD•RTD•••-••4.1.24.1.34.1.4RTD1435/26/2009•RTD•4.24.2.1ttt∆+→ttE∆)(E(t)()1)0(0)(=ttE)0(0)(≥≥ttE∫∞=01)(dttE4.1∫=τ0)()(dttEtF1)(=∞F)0(0)(≤=ttFdttdFtE)()(=tt=θQVt/γ=dttEdE)()(=θθ1445/26/2009dttt+→θθθd+→)()(tFF=θ)()(tEtE=θ∫∞=01)(θθdE∫=θθθθ0)()(dEFθθθddFE)()(=4.2.21.t-∫∫∫∞∞∞===0001)()()(dtttEdttEdtttEtµ2.2ισ-∫∫∫∫∞∞∞∞−=−=−==00220022'2)()()()()()()(tdttEtdttEttdttEdttEttτσµ1455/26/20094.34.3.1mtQCtE)()(=∫∫=−==∞QKdtttQKdttQCm)()(0δQmK=4.2E(t))1()(−=ϑδϑE4.3F(t)⎩⎨⎧≥=⎩⎨⎧≥=1.11.0)(.1.0)(θθθFtttttF∫∞=−=01)1(θθθδθd∫∞=−−=02201)1(θθδθσθd()4.3.2=+dtdCVtQCQCγ+=)(00)(,0==tCtτteCtC−=1)(01465/26/2009τteCtCCtCtF−==∞=1)()()()(0ττtetE1)(=ϑθϑθ−−=−=eEeF)(,1)(4.4E(t)∫∞−==01θθθθde∫∞−=−=02211θθσθθde4.5F(t)4.4⎩⎨⎧⎩⎨⎧4.4.11475/26/2009ttCA~)(dttt+→E(t)dtCA(t)E(t)dt∫=τ0)()(dttEtCCAACAtE(t)RTDt*4.4.21.NN=1∞=N∞≤≤N1pdttdCVtQCtQCppp)()()(1γ+=−1485/26/20094.6[])()(1)(1tCtCdttdCppp−−τQVγτ=t=0NpCp...2,1.0)0(==τ/0111)()()(tetCtCtF−−==ττ/02211)()()(tettCtCtF−⎟⎠⎞⎜⎝⎛+−==∑−−−−−==NpptNptetCtCtF11/0)!1()/(1)()()(ττNττNt=∑−−−−−=NppttpNtNtetF11)!1()/(/1)(ττ1495/26/2009∑−−−−−=NppNpNeF11)!1()(1)(θθθttτθ/=θθθNNeNNE−−−=1)!1(!)(4.74.71)!1(01=−=−∞−∫θθθθθdeNNNNNNNNdeNNNN1111)!1(!0122=−+=−−=−∞−∫θθθσθθ21θσ=N0,(1,122=∞→==θθσσNN102≤≤θσ5-1814105/26/20094.82.4.4.3:u,Da(,)ZCDJa∂∂−=4.9ZCuZCDtCa∂∂−∂∂=∂∂220=aDZCutC∂∂−=∂∂γθLtu=γςLz=0CC=ψaDuLPeγ=ςψςψθψ∂∂−∂∂=∂∂221Pe14115/26/2009=aDuLPeγ↑Pe↓PeLrdrLrdt,,0∞→→PePePe⎪⎪⎪⎩⎪⎪⎪⎨⎧==∂∂∂∂−=−+10,1),0(0)()(1)0,(01ςςψςψςψθψPe)(tC)()()()(0θθψϑθECCF⇒==⎪⎩⎪⎨⎧−−==−)1(2212θθσθpePePePe192ReRe11ScScPe⋅+⋅=2000Re1100023.0ScPe=Re0.125Re2100()*4.4.4(1);(2);(3),N,14125/26/2009022=+−AAAaRdZdCudZCdD00|,0dZdCDuCuCZAaAA−==0|,==γγLAdZdCLZn,nAAkCR=−1=n)]1(2exp[)1()]1(2exp[)1(4220aPeaaPeaaCCAA+−−−−−−=∞→Pe5-69)1ln(1)exp(0AAAXkkCC−−=−=ττ0→Pe5-69AAAAAAAAAkCCCXKCXCkCC−=−=+=0000)1(11ττ4.105-23PeuLDa1=τkτ0AkC4.1014135/26/20094.114.54.5.1⎪⎩⎪⎨⎧,CA1`CA2α{⎩⎨⎧⎥⎦⎤⎢⎣⎡+==+=+=2()(2)(2121'2121AAAAAAAAACCkCkrCCkrrrααα1α≠'AArr4.5.214145/26/2009RTD