Chemical-Engineering

CH C he m ic a l Eng ine e ring Section 1: Engineering Mathematics Line a r Alg e b ra : Ma trix a lg e b ra , Syste m s o f line a r e q ua tio ns, Eig e n va lue s a nd e ig e nve c to rs. C a lc ulus: Func tio ns o f sing le va ria b le , Lim it, c o ntinuity a nd d iffe re ntia b ility, Ta ylo r se rie s, Me a n va lue the o re m s, Eva lua tio n o f d e finite a nd im p ro p e r inte g ra ls, Pa rtia l d e riva tive s, To ta l d e riva tive , Ma xim a a nd m inim a , G ra d ie nt, Dive rg e nc e a nd C url, Ve c to r id e ntitie s, Dire c tio na l d e riva tive s, Line , Surfa c e a nd Vo lum e inte g ra ls, Sto ke s, G a uss a nd G re e n’ s the o re m s. Diffe re ntia l e q ua tio ns: First o rd e r e q ua tio ns (line a r a nd no nline a r), Hig he r o rd e r line a r d iffe re ntia l e q ua tio ns w ith c o nsta nt c o e ffic ie nts, C a uc hy’ s a nd Eule r’ s e q ua tio ns, Initia l a nd b o und a ry va lue p ro b le m s, La p la c e tra nsfo rm s, So lutio ns o f o ne d im e nsio na l he a t a nd w a ve e q ua tio ns a nd La p la c e e q ua tio n. C o m ple x va ria b le s: C o m p le x num b e r, p o la r fo rm o f c o m p le x num b e r, tria ng le ine q ua lity. a nd Sta tistic s: De finitio ns o f p ro b a b ility a nd sa m p ling the o re m s, C o nd itio na l p ro b a b ility, Me a n, m e d ia n, m o d e a nd sta nd a rd d e via tio n, Ra nd o m va ria b le s, Po isso n, No rm a l a nd Bino m ia l d istrib utio ns, Line a r re g re ssio n a na lysis. Pro b a b ility Num e ric a l so lutio ns o f line a r a nd no n-line a r a lg e b ra ic e q ua tio ns. Inte g ra tio n b y tra p e zo id a l a nd Sim p so n’ s rule . Sing le a nd m ulti-ste p m e tho d s fo r num e ric a l so lutio n o f d iffe re ntia l e q ua tio ns. Num e ric a l Me tho ds: Section 2: Process Calculations and Thermodynamics Ste a d y a nd unste a d y sta te m a ss a nd e ne rg y b a la nc e s inc lud ing m ultip ha se , m ultic o m p o ne nt, re a c ting a nd no n-re a c ting syste m s. Use o f tie c o m p o ne nts; re c yc le , b yp a ss a nd p urg e c a lc ula tio ns; G ib b ’ s p ha se rule a nd d e g re e o f fre e d o m a na lysis. First a nd Se c o nd la w s o f the rm o d yna m ic s. Ap p lic a tio ns o f first la w to c lo se a nd o p e n syste m s. Se c o nd la w a nd Entro p y. The rm o d yna m ic p ro p e rtie s o f p ure sub sta nc e s: Eq ua tio n o f Sta te a nd re sid ua l p ro p e rtie s, p ro p e rtie s o f m ixture s: p a rtia l m o la r p ro p e rtie s, fug a c ity, e xc e ss p ro p e rtie s a nd a c tivity c o e ffic ie nts; p ha se e q uilib ria : p re d ic ting VLE o f syste m s; c he m ic a l re a c tio n e q uilib rium . Section 3: Fluid Mechanics and Mechanical Operations Fluid sta tic s, Ne w to nia n a nd no n-Ne w to nia n fluid s, she ll-b a la nc e s inc lud ing d iffe re ntia l fo rm o f Be rno ulli e q ua tio n a nd e ne rg y b a la nc e , Ma c ro sc o p ic fric tio n fa c to rs, d im e nsio na l a na lysis a nd sim ilitud e , flo w thro ug h p ip e line syste m s, flo w m e te rs, p um p s a nd c o m p re sso rs, e le m e nta ry b o und a ry la ye r the o ry, flo w p a st im m e rse d b o d ie s inc lud ing p a c ke d a nd fluid ize d b e d s, Turb ule nt flo w : fluc tua ting ve lo c ity, unive rsa l ve lo c ity p ro file a nd p re ssure d ro p . Pa rtic le size a nd sha p e , p a rtic le size d istrib utio n, size re d uc tio n a nd c la ssific a tio n o f so lid p a rtic le s; fre e a nd hind e re d se ttling ; c e ntrifug e a nd c yc lo ne s; thic ke ning a nd c la ssific a tio n, filtra tio n, a g ita tio n a nd m ixing ; c o nve ying o f so lid s. Section 4: Heat Transfer Ste a d y a nd unste a d y he a t c o nd uc tio n, c o nve c tio n a nd ra d ia tio n, the rm a l b o und a ry la ye r a nd he a t tra nsfe r c o e ffic ie nts, b o iling , c o nd e nsa tio n a nd e va p o ra tio n; typ e s o f he a t e xc ha ng e rs a nd e va p o ra to rs a nd the ir p ro c e ss c a lc ula tio ns. De sig n o f d o ub le p ip e , she ll a nd tub e he a t e xc ha ng e rs, a nd sing le a nd m ultip le e ffe c t e va p o ra to rs. Section 5: Mass Transfer Fic k’ s la w s, m o le c ula r d iffusio n in fluid s, m a ss tra nsfe r c o e ffic ie nts, film , p e ne tra tio n a nd surfa c e re ne wa l the o rie s; m o m e ntum , he a t a nd m a ss tra nsfe r a na lo g ie s; sta g e -w ise a nd c o ntinuo us c o nta c ting a nd sta g e e ffic ie nc ie s; HTU & NTU c o nc e p ts; d e sig n a nd o p e ra tio n o f e q uip m e nt fo r d istilla tio n, a b so rp tio n, le a c hing , liq uid -liq uid e xtra c tio n, d rying , hum id ific a tio n, d e hum id ific a tio n a nd a d so rp tio n. Section 6: Chemical Reaction Engineering The o rie s o f re a c tio n ra te s; kine tic s o f ho m o g e ne o us re a c tio ns, inte rp re ta tio n o f kine tic d a ta , sing le a nd m ultip le re a c tio ns in id e a l re a c to rs, no n-id e a l re a c to rs; re sid e nc e tim e d istrib utio n, sing le p a ra m e te r m o d e l; no n-iso the rm a l re a c to rs; kine tic s o f he te ro g e ne o us c a ta lytic re a c tio ns; d iffusio n e ffe c ts in c a ta lysis. Section 7: Instrumentation and Process Control Me a sure m e nt o f p ro c e ss va ria b le s; se nso rs, tra nsd uc e rs a nd the ir d yna m ic s, p ro c e ss m o d e ling a nd line a riza tio n, tra nsfe r func tio ns a nd d yna m ic re sp o nse s o f va rio us syste m s, syste m s w ith inve rse re sp o nse , p ro c e ss re a c tio n c urve , c o ntro lle r m o d e s (P, PI, a nd PID); c o ntro l va lve s; a na lysis o f c lo se d lo o p syste m s inc lud ing sta b ility, fre q ue nc y re sp o nse , c o ntro lle r tuning , c a sc a d e a nd fe e d fo rwa rd c o ntro l. Section 8: Plant Design and Economics Princ ip le s o f p ro c e ss e c o no m ic s a nd c o st e stim a tio n inc lud ing d e p re c ia tio n a nd to ta l a nnua lize d c o st, c o st ind ic e s, ra te o f re turn, p a yb a c k p e rio d , d isc o unte d c a sh flo w , o p tim iza tio n in p ro c e ss d e sig n a nd sizing o f c he m ic a l e ng ine e ring e q uip m e nts suc h a s c o m p re sso rs, he a t e xc ha ng e rs, m ultista g e c o nta c to rs. Section 9: Chemical Technology Ino rg a nic c he m ic a l ind ustrie s (sulfuric a c id , p ho sp ho ric a c id , c hlo r-a lka li ind ustry), fe rtilize rs (Am m o nia , Ure a , SSP a nd TSP); na tura l p ro d uc ts ind ustrie s (Pulp a nd Pa p e r, Sug a r, O il, a nd Fa ts); p e tro le um re fining a nd p e tro c he m ic a ls; p o lym e riza tio n ind ustrie s (p o lye thyle ne , p o lyp ro p yle ne , PVC a nd p o lye ste r synthe tic fib e rs).