• 计算方法 • 科学与工程计算 构造数值算法的基本思想 近似替 代 离散化 递推化

2.5 Hermite插值 插值方法 NewtonLagrange与插值的不足 y=f(x),其 NewtonLagrange与插值多项式Pn(x)与Nn(x) 满足插值条件:P(xi)=nn(xi)=f(x)i=0,12.n Newton与 Lagrange插值多项式与y=f(x)在插值节点上有相同 的函数值“过点” 但在插值节点上y=f(x)与y=Pn(x)一般不”相切”, f(xi)≠n(x)光滑性较差 Hermite插值:求与y=f(x)在插值节点X1.n上具有相同函数 值及导数值(甚至高阶导数值)的插值多项式

WHATIS DESIGN??? A DESIGN IS PLAN FOR Manufacturing an artifact E A refrigerator or a rug Building the mean of manufacture E Afactory or a chemical plant Building a structure E A bridge or a baseball stadium Implementing an organization A hospital emergency room E A air transportation system

HEAT EXCHANGER DESIGN GOALS: Role of heat exchangers in chemical processing Basic concepts and terminology Types of heat exchangers Design methodology Sizing Design Rating

EQUILIBRIUM STAGED SEPARATIONS Single Stage Flash [Flash Drum] Distillation Simple Distillation Complex Distillation Non-Ideal Distillation Gas Absorption and Stripping Liquid-Liquid Extraction Multi-Effect Evaporation

CHEMICAL REACTOR CHARATERIZATION GOALS: Outline basic concepts Review reaction chemistry Develop basic definitions of performance Identify important reactor variables Review reaction thermodynamics

WHAT IS ASPEN? A computer program for steady-state process simulation (a.k. process Flowsheeting) Developed for the simulation of Chemical Petrochemical Processes Coal-based Processes Petroleum Refining Polymer Processes One of many commercially available flowsheeting programs such as PROII (Simulation Sciences) HYSIM (Hyprotech) ChemCad(Chemstation)

ENGINEERING ECONOMICS II INVESTMENT ANALYSIS Companies(and individuals) invest money in order to earn money Examples Build a factory to make washing machines and dryers → Open laundromat Write novel(what is being invested here?) Get a degree in chemical engineering

DESIGN METHODOLOGY goaL-- Produce design for chemical plant that: Is economically acceptable and Is operable,ie., eIs safe → Is controllable Is reliable,and Is environmentally acceptable

DESIGN METHODOLOGY: INPUT-OUTPUT DECISIONS goaL-- Choose the process chemistry and feedstock most appropriate to the plant to be designed and determine the associated economic potential