170 likes | 447 Views
Chapter 4. Isothermal Reactor Design. Overview. Chapter 1 and 2 focus on mole balances on reactors to predict the volume Chapter 3 focuses on reactions Cahpter 4 combine previous chapters to obtain optimum reactor design . Design Algorithm. Mole balance (reactor type)
E N D
Chapter 4 Isothermal Reactor Design
Overview • Chapter 1 and 2 focus on mole balances on reactors to predict the volume • Chapter 3 focuses on reactions • Cahpter 4 combine previous chapters to obtain optimum reactor design
Design Algorithm • Mole balance (reactor type) • Reaction rate law (reaction type, orders) • Stoichiometry (reaction coefficients) • Combine steps 1, 2 and 3 • Evaluate (integrate) either Analytically Graphically Numerically Polymath
Liquid Phase Batch For the irrev, 2nd order reaction • Mole balance step • Rate law step • Stoichiometry step • Combine step • Evaluate step
4.3 CSTR For 1st order and irrev reaction • Mole balance step • Rate law step • Stoichiometry step • Combine step • Evaluate step • Damkohler number Da • Da gives the degree of conversion in flow reactor
4.3.2 CSTRs in Series • For equal size CSTRs τ1=τ2=τ operate at the same T k1=k2=k and constant ν0 • For n equal size CSTRs τ1=τ2=…=τn=τ operate at the same T k1=k2=…=kn=k
4.3.3 CSTRs in Parallel • For identical individual reactor volume, Vi, conversion, Xi, and reaction rate -rAi • The conversion by each reactor is the same as if the total feed is charged to one large reactor of volume V
4.3.4 2nd order reaction in a CSTR • For 2nd order, liquid phase reaction in a CSTR
4.4 Tubular Reactors • Consider 2nd order reaction in PFR For liquid phase For constant T and P gas phase
Three reaction types A→nB • n<1, ε<0 (δ<0) → ν↓, the molecules will spend longer time and ↑X than if v=v0 • n>1, ε>0 (δ>0) ν ↑, the molecules will spend less time and ↓ X than if v=v0 • n=1, ε=0 (δ=0) v=v0
4.5 Pressure Drop in Reactors • For liquid phase reactions the pressure drop can be ignored because the effect of pressure on the concs is small. • For gas phase reactions the conc. of the reacting species is directly proportional to the total pressure • Accounting for the pressure drop is a key factor in the proper reactor operation
4.5.1 Pressure drop and the rate law • To account for pressure drop differential form design equation must be used • For gas phase 2nd order reaction in PBR
4.5.2 Flow through a packed beds • If y is defined as y=P/P0 • For a gas phase reactions in PBR of catalyst particles • α is the bed characteristics
4.5.4 Analytical solution • For 2nd order isothermal reaction with ε=0 in PBR
Integrating with X=0 @ W=0 and Solving for X and W gives