Modeling and simulation of industrial adiabatic fixed-bed. reactor for the catalytic reforming of methane to syngas

Size: px
Start display at page:

Download "Modeling and simulation of industrial adiabatic fixed-bed. reactor for the catalytic reforming of methane to syngas"

Transcription

1 Modeln and sulaton o ndustal adabatc xed-bed Euopean oness o hecal Enneen (EE-6 openhaen, 16- eptebe 7 Modeln and sulaton o ndustal adabatc xed-bed eacto o the catalytc eon o ethane to synas M.Tahzadeh Mazandaan, H. Ebah hecal Enneen Depatent, Faculty o Enneen, Mazandaan Unvesty,.O.Box:484, Babol, Ian, E-al: tahzadeh@yahoo.co, Tel: , Fax: Abstact An ndustal adabatc xed-bed eacto o the catalytc eon o ethane to synthess as on a coecal suppoted N catalyst at hh tepeatue and pessue ( tot =9 ba, T =894 K, s sulated usn a steady-state one-densonal heteoeneous eacto odel. Both extenal concentaton and tepeatue adents as well as nta-patcle concentaton adents ae taken nto account. The ntnsc knetcs o the eon and wate-as sht eactons wee taken o Nuauch and Kkuch (1988.The as-phase and sold-phase contnuty and eney deental equatons ae solved sultaneously usn MATLAB sotwae. In ths poa the nte volue ethod s used o solvn the coespondn contnuty equatons n sold phase (catalyst. The data taken o the Khoasan petochecal copany s appled to the poposed odel to peo the sulaton and the sulated esults ae then copaed to the expeental data at the outlet o eacto. Keywods: ulaton, stea eon, nte volue, adabatc xed-bed eacto 1. Intoducton Upadn o natual as (ch n ethane nto oe valuable checals, such as synthess as (synas, has been nvestated ntensvely n the past decade. In ecent yeas, hydoen s consdeed a clean eney souce and ts aket deand s steadly nceasn [1, ]. tea eon o natual as s wdely used to poduce synas, a xtue o hydoen and cabon onoxde n vaous popotons []. ynas s used as eedstock n a nube o ndustal pocesses such as poducton o aona, ethanol synthess, the Fsche-Topsch pocess, and the hydooylaton o olens [4, 5]. The whole pocess s endothec and occus ove a N-based catalyst n tubula eactos; equlbu condtons ae quckly eached at hh tepeatue. Althouh the ntensve eseach eots have been peoed on the knetcs and echans o the eacton, the pepaaton o catalyst and the evaluaton o pocess

2 M.Tahzadeh Mazandaan et al. and equpent [6, 7], the detaled eacto odeln and sulaton o RM on an ndustal scale s equed. In ths wok an ndustal adabatc xed-bed eacto o the catalytc eon o ethane to synthess as s sulated usn a steady-state one-densonal heteoeneous eacto odel.. The odel Adabatc xed-bed RM eacto s sulated usn a steady-state one-densonal heteoeneous eacto odel. Inta-patcle concentaton adents wee taken nto account explctly, by solvn the contnuty equatons n the catalyst pellet at each poston alon the xed-bed eacto co-odnate. The eacto desns ae based on suppoted N catalysts, whch catalyse the oaton o synthess as va stea eon ollowed by wate-as sht eactons. The catalyst patcle s assued to be sotheal: the an tanspot esstance nsde the catalyst pellet s due to ass tanse, even n the case o hhly exothec eactons [8]. The as-phase and soldphase contnuty and eney equatons ae pesented n Table 1 toethe wth the coespondn ntal and bounday condtons as well as Lanu-Hnshelwood ate equatons o eon, and wate-as sht eactons. Table 1: Reacto odel and eacton ate equatons wth coespondn bounday condtons Gas phase dy k a v + (y y, = dz Q old phase Gas-phase bounday condtons dt h a V + dz Q c (T T = (1 εb T T = R W, ( H, h a v De, / t d d y, (X ( + R W, = X dx dx p Z = =,T = T (1 ( ( (4 (5 old-phase bounday condtons H 4 + H d,s X = ( = dx De, d,s s X = 1 ( X 1 = k(,s dx p Reacton Rate equaton [9] NK O O + H k (ph p H p O / 4 1 = kj / ol p H O (6 = (7 H 98 = NK O + H O O + H k (p p p / K H 98 = 41 kj / ol K eq,1 O H O eq, (8 = (9

3 Modeln and sulaton o ndustal adabatc xed-bed The odel equatons (1-(4 o a set o deental and alebac equatons. Inteaton alon the eacto co-odnate was caed out usn the MATLAB lbay outne. The sold-phase contnuty equatons wee solved at each nceent o the axal decton by eans o the ethod o nte volue. 4. ulaton esults The eacto and catalyst densons, as well as the opeatn condtons and eed coposton taken o the Khoasan petochecal copany used to peo the sulaton ae shown n Table. The calculated axal ole acton and the catalyst and as-phase tepeatue poles ae shown n Fues 1 and espectvely. Fue epesents easued and calculated values o as-phase ole actons at the outlet o eacto. Table : Reacto and catalyst densons, eed coposton, and opeatn condtons ulaton case Value Reacto d ( L ( ε (. B V ( Q (W atalyst nckel oxde (k. d c ( T (K D ( e, a V ( G (k V ( N 1 Feed coposton (ole acton H 4 H O H Opeatn condtons Q (k tot (ba T (K

4 M.Tahzadeh Mazandaan et al.. oncluson A steady-state, one-densonal heteoeneous eacto odel was used to desn adabatc xed-bed RM eactos o synthess as poducton. The eacto desns ae based on suppoted N catalysts, whch catalyse the oaton o synthess as va stea eon ollowed by wate-as sht eactons. Inta-patcle concentaton adents wee taken nto account explctly, by solvn the coespondn contnuty equatons at each poston alon the eacto co-odnate wth the nte volue ethod. The sulaton esults concenn the lobal behavo o RM eactos ae ven..8.7 Y YH4 YHO YO YO YH Z ( Fue 1: Reactant and poduct ole actons vs. axal eacto coodnate T (K 8 T Ts Z ( Fue : atalyst and as-phase tepeatues vs. axal eacto coodnate. 4

5 Modeln and sulaton o ndustal adabatc xed-bed.6 Y.4. H4 HO O O H Expeental data ulaton esults Fue : opason between sulated esults and expeental data at the outlet o eacto. Notaton extenal pellet suace aea pe unt eacto volue specc heat at constant pessue ola concentaton o speces nta-patcle ola concentaton o speces ola concentaton o speces, at the extenal pellet suace J.K.. K ol. ol. ol... eectve duson coecent o speces n catalyst D e, eacto daete d catalyst daete d c total ass o catalyst k G as-to-sold heat tanse coecent W.. K as-to-sold ass tanse coecent.. equlbu constant o eacton, eacton dependent - K eq, eacto lenth L patal pessue o coponent ba total pessue ba tot pellet adus net catalytc poducton ate o speces pe unt catalyst ass 4.K. cat.k cat sold tepeatue K T as-phase tepeatue K T ole acton o speces axal eacto co-odnate vod acton o packn ol. ol tot a V,, h k R w, catalyst densty K. heat ate W Q supecal ass low velocty K.. Q densonless pellet co-odnate - X y Z ε B 5

6 M.Tahzadeh Mazandaan et al. Reeences [1] F.A. outeles,. Douvatzdes,. Tsakaas, ( J. owe ouces, 1,. [] R. etes, R. Dahl, U. K. lutten,. al, D. tolten, ( J. owe ouces, 16, 8. [] Ao, J. N., (1999 Appled atalyss A, 176, 159. [4] Fusky, E., (1998 Appled atalyss A, 171, 177. [5] ena, M. A., Goez, J.., & Feo, J. L. G., (1996 Appled atalyss A, 144, 7. [6] Xu, J., & Foent, G. F., (1989 A.I.h.E. Jounal, 5, 88. [7] Bee, R. J., & Man, G. B., (1999 Industal and Enneen hesty Reseach, 8, 58. [8] Foent, G. F., & Bscho, K. B., (199 hecal eacto analyss and desn (pp and London: Wley. [9] Nuauch, T., & Kkuch, K., (1988 hecal Enneen cence, 4,

Chapter 8. Linear Momentum, Impulse, and Collisions

Chapter 8. Linear Momentum, Impulse, and Collisions Chapte 8 Lnea oentu, Ipulse, and Collsons 8. Lnea oentu and Ipulse The lnea oentu p of a patcle of ass ovng wth velocty v s defned as: p " v ote that p s a vecto that ponts n the sae decton as the velocty

More information

Design and Flow Parameters Calculation of the Turbomachine Channels

Design and Flow Parameters Calculation of the Turbomachine Channels Avalable onlne at www.scencedect.co Poceda Engneeng 39 (0 ) 75 85 XIIIth Intenatonal Scentc and Engneeng Coneence HERVICON-0 Desgn and Flow Paaetes Calculaton o the Tuboachne Channels Mykola Kalnkevych

More information

The Forming Theory and the NC Machining for The Rotary Burs with the Spectral Edge Distribution

The Forming Theory and the NC Machining for The Rotary Burs with the Spectral Edge Distribution oden Appled Scence The Fomn Theoy and the NC achnn fo The Rotay us wth the Spectal Ede Dstbuton Huan Lu Depatment of echancal Enneen, Zhejan Unvesty of Scence and Technoloy Hanzhou, c.y. chan, 310023,

More information

EMULSION POLYMERIZATION TUBULAR REACTOR OF STYRENE WITH INTERNAL BAFFLES: VARIABLE REACTION TEMPERATURE

EMULSION POLYMERIZATION TUBULAR REACTOR OF STYRENE WITH INTERNAL BAFFLES: VARIABLE REACTION TEMPERATURE EMULSION OLYMEZATION TUBULAR REACTOR OF STYRENE WITH INTERNAL BAFFLES: VAABLE REACTION TEMERATURE 3 Floentno L. Mendoza Maín and Llane Maa Feaeso Lona and Rubens Macel Flho Faculty of Checal Engneeng,

More information

PHY121 Formula Sheet

PHY121 Formula Sheet HY Foula Sheet One Denson t t Equatons o oton l Δ t Δ d d d d a d + at t + at a + t + ½at² + a( - ) ojectle oton y cos θ sn θ gt ( cos θ) t y ( sn θ) t ½ gt y a a sn θ g sn θ g otatonal a a a + a t Ccula

More information

LINEAR MOMENTUM. product of the mass m and the velocity v r of an object r r

LINEAR MOMENTUM. product of the mass m and the velocity v r of an object r r LINEAR MOMENTUM Imagne beng on a skateboad, at est that can move wthout cton on a smooth suace You catch a heavy, slow-movng ball that has been thown to you you begn to move Altenatvely you catch a lght,

More information

2/24/2014. The point mass. Impulse for a single collision The impulse of a force is a vector. The Center of Mass. System of particles

2/24/2014. The point mass. Impulse for a single collision The impulse of a force is a vector. The Center of Mass. System of particles /4/04 Chapte 7 Lnea oentu Lnea oentu of a Sngle Patcle Lnea oentu: p υ It s a easue of the patcle s oton It s a vecto, sla to the veloct p υ p υ p υ z z p It also depends on the ass of the object, sla

More information

Thermoelastic Problem of a Long Annular Multilayered Cylinder

Thermoelastic Problem of a Long Annular Multilayered Cylinder Wold Jounal of Mechancs, 3, 3, 6- http://dx.do.og/.436/w.3.35a Publshed Onlne August 3 (http://www.scp.og/ounal/w) Theoelastc Poble of a Long Annula Multlayeed Cylnde Y Hsen Wu *, Kuo-Chang Jane Depatent

More information

A Study about One-Dimensional Steady State. Heat Transfer in Cylindrical and. Spherical Coordinates

A Study about One-Dimensional Steady State. Heat Transfer in Cylindrical and. Spherical Coordinates Appled Mathematcal Scences, Vol. 7, 03, no. 5, 67-633 HIKARI Ltd, www.m-hka.com http://dx.do.og/0.988/ams.03.38448 A Study about One-Dmensonal Steady State Heat ansfe n ylndcal and Sphecal oodnates Lesson

More information

Simulation of Surface Chemical Reactions in a Monolith Channel for Hydrogen Production

Simulation of Surface Chemical Reactions in a Monolith Channel for Hydrogen Production Except fom the Poceedgs of the COMSOL Confeence 008 Hannove Smulaton of Suface Chemcal Reactons a Monolth Channel fo Hydogen Poducton N. Pacheco *,1, D. Pavone 1,. Sula 1, J.L. Houzelot and E. Schae 1

More information

Thermodynamics of solids 4. Statistical thermodynamics and the 3 rd law. Kwangheon Park Kyung Hee University Department of Nuclear Engineering

Thermodynamics of solids 4. Statistical thermodynamics and the 3 rd law. Kwangheon Park Kyung Hee University Department of Nuclear Engineering Themodynamcs of solds 4. Statstcal themodynamcs and the 3 d law Kwangheon Pak Kyung Hee Unvesty Depatment of Nuclea Engneeng 4.1. Intoducton to statstcal themodynamcs Classcal themodynamcs Statstcal themodynamcs

More information

Chapter 13. Gas Mixtures. Study Guide in PowerPoint. Thermodynamics: An Engineering Approach, 5th edition by Yunus A. Çengel and Michael A.

Chapter 13. Gas Mixtures. Study Guide in PowerPoint. Thermodynamics: An Engineering Approach, 5th edition by Yunus A. Çengel and Michael A. Chapter 3 Gas Mxtures Study Gude n PowerPont to accopany Therodynacs: An Engneerng Approach, 5th edton by Yunus A. Çengel and Mchael A. Boles The dscussons n ths chapter are restrcted to nonreactve deal-gas

More information

Numerical simulation of combustion frozen nanosized aluminum suspension with water

Numerical simulation of combustion frozen nanosized aluminum suspension with water Nueical siulation of cobustion fozen nanosized aluinu suspension with wate V A Poyazov and A Yu Kainov Tos State Univesity, Tos, Russia E-ail: poyazov@ftf.tsu.u Absact. The pape pesents a atheatical odel

More information

Optimum Settings of Process Mean, Economic Order Quantity, and Commission Fee

Optimum Settings of Process Mean, Economic Order Quantity, and Commission Fee Jounal of Applied Science and Engineeing, Vol. 15, No. 4, pp. 343 352 (2012 343 Optiu Settings of Pocess Mean, Econoic Ode Quantity, and Coission Fee Chung-Ho Chen 1 *, Chao-Yu Chou 2 and Wei-Chen Lee

More information

Physics 201 Lecture 4

Physics 201 Lecture 4 Phscs 1 Lectue 4 ltoda: hapte 3 Lectue 4 v Intoduce scalas and vectos v Peom basc vecto aleba (addton and subtacton) v Inteconvet between atesan & Pola coodnates Stat n nteestn 1D moton poblem: ace 9.8

More information

ATMO 551a Fall 08. Diffusion

ATMO 551a Fall 08. Diffusion Diffusion Diffusion is a net tanspot of olecules o enegy o oentu o fo a egion of highe concentation to one of lowe concentation by ando olecula) otion. We will look at diffusion in gases. Mean fee path

More information

CSTR - PFR - PBR

CSTR - PFR - PBR 1. Mole Balances o The Rate of Reaction, - o The Geneal Mole Balance Equation o Continuous low Reactos - CSTR (Continuous-Stied Tank Reacto) - PR (Tubula Reacto) - PBR (Packed-Bed Reacto) o Industial Reactos

More information

Rigid Bodies: Equivalent Systems of Forces

Rigid Bodies: Equivalent Systems of Forces Engneeng Statcs, ENGR 2301 Chapte 3 Rgd Bodes: Equvalent Sstems of oces Intoducton Teatment of a bod as a sngle patcle s not alwas possble. In geneal, the se of the bod and the specfc ponts of applcaton

More information

Physics 207 Lecture 16

Physics 207 Lecture 16 Physcs 07 Lectue 6 Goals: Lectue 6 Chapte Extend the patcle odel to gd-bodes Undestand the equlbu of an extended object. Analyze ollng oton Undestand otaton about a fxed axs. Eploy consevaton of angula

More information

Rotating Variable-Thickness Inhomogeneous Cylinders: Part II Viscoelastic Solutions and Applications

Rotating Variable-Thickness Inhomogeneous Cylinders: Part II Viscoelastic Solutions and Applications Appled Mathematcs 010 1 489-498 do:10.436/am.010.16064 Publshed Onlne Decembe 010 (http://www.scrp.og/jounal/am) Rotatng Vaable-Thckness Inhomogeneous Cylndes: Pat II Vscoelastc Solutons and Applcatons

More information

Integral Vector Operations and Related Theorems Applications in Mechanics and E&M

Integral Vector Operations and Related Theorems Applications in Mechanics and E&M Dola Bagayoko (0) Integal Vecto Opeatons and elated Theoems Applcatons n Mechancs and E&M Ι Basc Defnton Please efe to you calculus evewed below. Ι, ΙΙ, andιιι notes and textbooks fo detals on the concepts

More information

ECE 2C, notes set 7: Basic Transistor Circuits; High-Frequency Response

ECE 2C, notes set 7: Basic Transistor Circuits; High-Frequency Response class notes, M. odwell, copyrhted 013 EE, notes set 7: Basc Transstor rcuts; Hh-Frequency esponse Mark odwell Unversty of alforna, Santa Barbara rodwell@ece.ucsb.edu 805-893-344, 805-893-36 fax oals class

More information

Main components of the above cycle are: 1) Boiler (steam generator) heat exchanger 2) Turbine generates work 3) Condenser heat exchanger 4) Pump

Main components of the above cycle are: 1) Boiler (steam generator) heat exchanger 2) Turbine generates work 3) Condenser heat exchanger 4) Pump Introducton to Terodynacs, Lecture -5 Pro. G. Cccarell (0 Applcaton o Control olue Energy Analyss Most terodynac devces consst o a seres o coponents operatng n a cycle, e.g., stea power plant Man coponents

More information

Scalars and Vectors Scalar

Scalars and Vectors Scalar Scalas and ectos Scala A phscal quantt that s completel chaacteed b a eal numbe (o b ts numecal value) s called a scala. In othe wods a scala possesses onl a magntude. Mass denst volume tempeatue tme eneg

More information

Active Load. Reading S&S (5ed): Sec. 7.2 S&S (6ed): Sec. 8.2

Active Load. Reading S&S (5ed): Sec. 7.2 S&S (6ed): Sec. 8.2 cte La ean S&S (5e: Sec. 7. S&S (6e: Sec. 8. In nteate ccuts, t s ffcult t fabcate essts. Instea, aplfe cnfuatns typcally use acte las (.e. las ae w acte eces. Ths can be ne usn a cuent suce cnfuatn,.e.

More information

Rotating Disk Electrode -a hydrodynamic method

Rotating Disk Electrode -a hydrodynamic method Rotatng Dsk Electode -a hdodnamc method Fe Lu Ma 3, 0 ente fo Electochemcal Engneeng Reseach Depatment of hemcal and Bomolecula Engneeng Rotatng Dsk Electode A otatng dsk electode RDE s a hdodnamc wokng

More information

Optimal System for Warm Standby Components in the Presence of Standby Switching Failures, Two Types of Failures and General Repair Time

Optimal System for Warm Standby Components in the Presence of Standby Switching Failures, Two Types of Failures and General Repair Time Intenatonal Jounal of ompute Applcatons (5 ) Volume 44 No, Apl Optmal System fo Wam Standby omponents n the esence of Standby Swtchng Falues, Two Types of Falues and Geneal Repa Tme Mohamed Salah EL-Shebeny

More information

Large scale magnetic field generation by accelerated particles in galactic medium

Large scale magnetic field generation by accelerated particles in galactic medium Lage scale magnetc feld geneaton by acceleated patcles n galactc medum I.N.Toptygn Sant Petesbug State Polytechncal Unvesty, depatment of Theoetcal Physcs, Sant Petesbug, Russa 2.Reason explonatons The

More information

Stellar Astrophysics. dt dr. GM r. The current model for treating convection in stellar interiors is called mixing length theory:

Stellar Astrophysics. dt dr. GM r. The current model for treating convection in stellar interiors is called mixing length theory: Stella Astophyscs Ovevew of last lectue: We connected the mean molecula weght to the mass factons X, Y and Z: 1 1 1 = X + Y + μ 1 4 n 1 (1 + 1) = X μ 1 1 A n Z (1 + ) + Y + 4 1+ z A Z We ntoduced the pessue

More information

Chemical Reaction Engineering

Chemical Reaction Engineering Lectue 25 hemical Reaction Enineein (RE) is the field that studies the ates and mechanisms of chemical eactions and the desin of the eactos in which they take place. Web Lectue 25 lass Lectue 21 4/2/2013

More information

A Method of Reliability Target Setting for Electric Power Distribution Systems Using Data Envelopment Analysis

A Method of Reliability Target Setting for Electric Power Distribution Systems Using Data Envelopment Analysis 27 กก ก 9 2-3 2554 ก ก ก A Method of Relablty aget Settng fo Electc Powe Dstbuton Systems Usng Data Envelopment Analyss ก 2 ก ก ก ก ก 0900 2 ก ก ก ก ก 0900 E-mal: penjan262@hotmal.com Penjan Sng-o Psut

More information

COMPLEMENTARY ENERGY METHOD FOR CURVED COMPOSITE BEAMS

COMPLEMENTARY ENERGY METHOD FOR CURVED COMPOSITE BEAMS ultscence - XXX. mcocd Intenatonal ultdscplnay Scentfc Confeence Unvesty of skolc Hungay - pl 06 ISBN 978-963-358-3- COPLEENTRY ENERGY ETHOD FOR CURVED COPOSITE BES Ákos József Lengyel István Ecsed ssstant

More information

V. Principles of Irreversible Thermodynamics. s = S - S 0 (7.3) s = = - g i, k. "Flux": = da i. "Force": = -Â g a ik k = X i. Â J i X i (7.

V. Principles of Irreversible Thermodynamics. s = S - S 0 (7.3) s = = - g i, k. Flux: = da i. Force: = -Â g a ik k = X i. Â J i X i (7. Themodynamcs and Knetcs of Solds 71 V. Pncples of Ievesble Themodynamcs 5. Onsage s Teatment s = S - S 0 = s( a 1, a 2,...) a n = A g - A n (7.6) Equlbum themodynamcs detemnes the paametes of an equlbum

More information

Consequences of Long Term Transients in Large Area High Density Plasma Processing: A 3-Dimensional Computational Investigation*

Consequences of Long Term Transients in Large Area High Density Plasma Processing: A 3-Dimensional Computational Investigation* ISPC 2003 June 22-27, 2003 Consequences of Long Tem Tansents n Lage Aea Hgh Densty Plasma Pocessng: A 3-Dmensonal Computatonal Investgaton* Pamod Subamonum** and Mak J Kushne*** **Dept of Chemcal and Bomolecula

More information

REACTOR DOSIMETRY APPLICATIONS USING RAPTOR-M3G: A NEW PARALLEL 3-D RADIATION TRANSPORT CODE

REACTOR DOSIMETRY APPLICATIONS USING RAPTOR-M3G: A NEW PARALLEL 3-D RADIATION TRANSPORT CODE REACTOR DOSIMETRY APPLICATIONS USING RAPTOR-M3G: A NEW PARALLEL 3-D RADIATION TRANSPORT CODE GIANLUCA LONGONI Radaton Enneen & Analyss Goup Westnhouse Electc Co. LLC Madson PA 15663 USA STANWOOD L. ANDERSON

More information

Physics 202, Lecture 2. Announcements

Physics 202, Lecture 2. Announcements Physcs 202, Lectue 2 Today s Topcs Announcements Electc Felds Moe on the Electc Foce (Coulomb s Law The Electc Feld Moton of Chaged Patcles n an Electc Feld Announcements Homewok Assgnment #1: WebAssgn

More information

Capítulo. Three Dimensions

Capítulo. Three Dimensions Capítulo Knematcs of Rgd Bodes n Thee Dmensons Mecánca Contents ntoducton Rgd Bod Angula Momentum n Thee Dmensons Pncple of mpulse and Momentum Knetc Eneg Sample Poblem 8. Sample Poblem 8. Moton of a Rgd

More information

Game Study of the Closed-loop Supply Chain with Random Yield and Random Demand

Game Study of the Closed-loop Supply Chain with Random Yield and Random Demand , pp.105-110 http://dx.doi.og/10.14257/astl.2014.53.24 Gae Study of the Closed-loop Supply Chain with ando Yield and ando Deand Xiuping Han, Dongyan Chen, Dehui Chen, Ling Hou School of anageent, Habin

More information

On the Escape Velocity in General Relativity and the Problem of Dark Matter

On the Escape Velocity in General Relativity and the Problem of Dark Matter Appled Physcs eseach; Vol. 7, No. ; 5 ISSN 96-969 E-ISSN 96-967 Publshed by Canadan Cente of Scence and Educaton On the Escape Velocty n Geneal elatvty and the Poblem of Dak Matte Valey Vaslev & Leond

More information

Diffusion and transport phenomena in a collisional magnetoplasma with temperature anisotropy

Diffusion and transport phenomena in a collisional magnetoplasma with temperature anisotropy Indan Jounal o Pue & Appled Physcs Vol. 46, Febuay 8, pp.-7 Duson and tanspot phenoena n a collsonal agnetoplasa wth tepeatue ansotopy * K aal & G Nath * Depatent o Physcs, Salpu ollege, Salpu, uttack

More information

Objectives. Chapter 6. Learning Outcome. Newton's Laws in Action. Reflection: Reflection: 6.2 Gravitational Field

Objectives. Chapter 6. Learning Outcome. Newton's Laws in Action. Reflection: Reflection: 6.2 Gravitational Field Chapte 6 Gataton Objectes 6. Newton's Law o nesal Gataton 6. Gatatonal Feld 6. Gatatonal Potental 6. Satellte oton n Ccula Obts 6.5 scape Velocty Leanng Outcoe (a and use the oula / (b explan the eanng

More information

Some Remarks on the Boundary Behaviors of the Hardy Spaces

Some Remarks on the Boundary Behaviors of the Hardy Spaces Soe Reaks on the Bounday Behavios of the Hady Spaces Tao Qian and Jinxun Wang In eoy of Jaie Kelle Abstact. Soe estiates and bounday popeties fo functions in the Hady spaces ae given. Matheatics Subject

More information

Dynamics of Rigid Bodies

Dynamics of Rigid Bodies Dynamcs of Rgd Bodes A gd body s one n whch the dstances between consttuent patcles s constant thoughout the moton of the body,.e. t keeps ts shape. Thee ae two knds of gd body moton: 1. Tanslatonal Rectlnea

More information

SI Appendix Model Flow Chart of Dog-Human Rabies Transmission

SI Appendix Model Flow Chart of Dog-Human Rabies Transmission Appenx Moel Flow Cat of Dog-Huan abes Tanssson Aea epenent enstes of te og an uan populatons wee assue an ntal alues calculate by usng a suface fo te stuy aea of Djaéna of 700 k 2. Te ntal nube of expose

More information

Physics 1501 Lecture 19

Physics 1501 Lecture 19 Physcs 1501 ectue 19 Physcs 1501: ectue 19 Today s Agenda Announceents HW#7: due Oct. 1 Mdte 1: aveage 45 % Topcs otatonal Kneatcs otatonal Enegy Moents of Ineta Physcs 1501: ectue 19, Pg 1 Suay (wth copason

More information

Hydroelastic Analysis of a 1900 TEU Container Ship Using Finite Element and Boundary Element Methods

Hydroelastic Analysis of a 1900 TEU Container Ship Using Finite Element and Boundary Element Methods TEAM 2007, Sept. 10-13, 2007,Yokohama, Japan Hydoelastic Analysis of a 1900 TEU Containe Ship Using Finite Element and Bounday Element Methods Ahmet Egin 1)*, Levent Kaydıhan 2) and Bahadı Uğulu 3) 1)

More information

PHYS 1443 Section 003 Lecture #21

PHYS 1443 Section 003 Lecture #21 PHYS 443 Secton 003 Lectue # Wednesday, Nov. 7, 00 D. Jaehoon Yu. Gavtatonal eld. negy n Planetay and Satellte Motons 3. scape Speed 4. lud and Pessue 5. Vaaton of Pessue and Depth 6. Absolute and Relatve

More information

Tidal forces. m r. m 1 m 2. x r 2. r 1

Tidal forces. m r. m 1 m 2. x r 2. r 1 Tidal foces Befoe we look at fee waves on the eath, let s fist exaine one class of otion that is diectly foced: astonoic tides. Hee we will biefly conside soe of the tidal geneating foces fo -body systes.

More information

PHYSICS. Time allowed: 90 minutes. Section A is a set of questions on data analysis. It requires work on graph paper.

PHYSICS. Time allowed: 90 minutes. Section A is a set of questions on data analysis. It requires work on graph paper. PHYSICS EXAMIATIO FOR ETRACE SCHOLARSHIPS JAUARY 7 Tie allowed: 9 inutes Section A is a set of questions on data analysis. It equies wok on gaph pape. Section B consists of nine questions. Attept as any

More information

Engineering Mechanics. Force resultants, Torques, Scalar Products, Equivalent Force systems

Engineering Mechanics. Force resultants, Torques, Scalar Products, Equivalent Force systems Engneeng echancs oce esultants, Toques, Scala oducts, Equvalent oce sstems Tata cgaw-hll Companes, 008 Resultant of Two oces foce: acton of one bod on anothe; chaacteed b ts pont of applcaton, magntude,

More information

PHYSICS OF ASTROPHSYICS - Energy

PHYSICS OF ASTROPHSYICS - Energy PHYSICS OF ASTOPHSYICS - Enegy http://apod.nasa.gov/apod/ ENEGY esult of a foce actng though a dstance. unts = eg = dyne c.e., foce x dstance = g c 2 /sec 2 Two types: knetc - enegy due to oton potental

More information

NUMERICAL SIMULATION OF FCC RISERS

NUMERICAL SIMULATION OF FCC RISERS NUERICAL SIULATION OF FCC RISERS J. A. Soua a, J. V. C. Va a, O. F. Von een a, and W. atgnon b, a Unvesdade Fedeal do Paaná PIPE Pogama Intedscplna de Pós-Gaduação em Engenhaa Cento Poltécnco Bao Jadm

More information

Physics 11b Lecture #2. Electric Field Electric Flux Gauss s Law

Physics 11b Lecture #2. Electric Field Electric Flux Gauss s Law Physcs 11b Lectue # Electc Feld Electc Flux Gauss s Law What We Dd Last Tme Electc chage = How object esponds to electc foce Comes n postve and negatve flavos Conseved Electc foce Coulomb s Law F Same

More information

PHYS Week 5. Reading Journals today from tables. WebAssign due Wed nite

PHYS Week 5. Reading Journals today from tables. WebAssign due Wed nite PHYS 015 -- Week 5 Readng Jounals today fom tables WebAssgn due Wed nte Fo exclusve use n PHYS 015. Not fo e-dstbuton. Some mateals Copyght Unvesty of Coloado, Cengage,, Peason J. Maps. Fundamental Tools

More information

THE EQUIVALENCE OF GRAM-SCHMIDT AND QR FACTORIZATION (page 227) Gram-Schmidt provides another way to compute a QR decomposition: n

THE EQUIVALENCE OF GRAM-SCHMIDT AND QR FACTORIZATION (page 227) Gram-Schmidt provides another way to compute a QR decomposition: n HE EQUIVAENCE OF GRA-SCHID AND QR FACORIZAION (page 7 Ga-Schdt podes anothe way to copute a QR decoposton: n gen ectos,, K, R, Ga-Schdt detenes scalas j such that o + + + [ ] [ ] hs s a QR factozaton of

More information

Dynamics 4600:203 Homework 08 Due: March 28, Solution: We identify the displacements of the blocks A and B with the coordinates x and y,

Dynamics 4600:203 Homework 08 Due: March 28, Solution: We identify the displacements of the blocks A and B with the coordinates x and y, Dynamcs 46:23 Homework 8 Due: March 28, 28 Name: Please denote your answers clearly,.e., box n, star, etc., and wrte neatly. There are no ponts for small, messy, unreadable work... please use lots of paper.

More information

Description of the Force Method Procedure. Indeterminate Analysis Force Method 1. Force Method con t. Force Method con t

Description of the Force Method Procedure. Indeterminate Analysis Force Method 1. Force Method con t. Force Method con t Indeternate Analyss Force Method The force (flexblty) ethod expresses the relatonshps between dsplaceents and forces that exst n a structure. Prary objectve of the force ethod s to deterne the chosen set

More information

If there are multiple rxns, use concentrations not conversions. These might occur in combination or by themselves.

If there are multiple rxns, use concentrations not conversions. These might occur in combination or by themselves. hapte 6 MLTIPLE RETIONS If thee ae multiple xns, use concentations not convesions. intemediate. Seies Reactions onsecutive xns. Paallel Reactions. omplex Reactions: Seies and Paallel 4. Independent None

More information

The Problem of General Relativity for an Orthotropic Solid Sphere

The Problem of General Relativity for an Orthotropic Solid Sphere Appled Physcs Reseach; Vol. 5, No. ; 3 ISSN 96-9639 E-ISSN 96-9647 Publshed by Canadan Cente of Scence and Educaton The Poblem of Geneal Relatvty fo an Othotopc Sold Sphee Valey Vaslev & Leond Fedoov Insttute

More information

Molecular Dynamic Simulations of Nickel Nanowires at Various Temperatures

Molecular Dynamic Simulations of Nickel Nanowires at Various Temperatures Intenatonal Jounal of Scentfc and Innovatve Mathematcal Reseach (IJSIMR Volume 2, Issue 3, Mach 204, PP 30-305 ISS 2347-307X (Pnt & ISS 2347-342 (Onlne www.acounals.og Molecula Dynamc Smulatons of ckel

More information

GRAVITATIONAL INERTIA

GRAVITATIONAL INERTIA Intenatonal Jounal of Physcs and Matheatcal Scences ISSN: 77-111 (Onlne) An Open Access, Onlne Intenatonal Jounal Avalable at http://www.cbtech.o/jps.ht 018Vol. 8 (1) Januay-Mach, pp. 18-5/Snh GRAVITATIONAL

More information

Set of square-integrable function 2 L : function space F

Set of square-integrable function 2 L : function space F Set of squae-ntegable functon L : functon space F Motvaton: In ou pevous dscussons we have seen that fo fee patcles wave equatons (Helmholt o Schödnge) can be expessed n tems of egenvalue equatons. H E,

More information

Physics 2A Chapter 11 - Universal Gravitation Fall 2017

Physics 2A Chapter 11 - Universal Gravitation Fall 2017 Physcs A Chapte - Unvesal Gavtaton Fall 07 hese notes ae ve pages. A quck summay: he text boxes n the notes contan the esults that wll compse the toolbox o Chapte. hee ae thee sectons: the law o gavtaton,

More information

5-99C The Taylor series expansion of the temperature at a specified nodal point m about time t i is

5-99C The Taylor series expansion of the temperature at a specified nodal point m about time t i is Chapte Nuecal Methods n Heat Conducton Specal opc: Contollng the Nuecal Eo -9C he esults obtaned usng a nuecal ethod dffe fo the eact esults obtaned analytcally because the esults obtaned by a nuecal ethod

More information

Simulation of Containment Atmosphere Stratification Experiment Using Local Instantaneous Description

Simulation of Containment Atmosphere Stratification Experiment Using Local Instantaneous Description Intenational Confeence Nuclea Enegy fo New Euope 2004 Potoož Slovenia Septebe 6-9 pot2004@ijs.si www.dustvo-js.si/pot2004 +386 1 588 5247, fax +386 1 561 2276 PORT2004, Nuclea Society of Slovenia, Jaova

More information

Scaling Growth in Heat Transfer Surfaces and Its Thermohydraulic Effect Upon the Performance of Cooling Systems

Scaling Growth in Heat Transfer Surfaces and Its Thermohydraulic Effect Upon the Performance of Cooling Systems 799 A publcaton of CHEMICAL ENGINEERING TRANSACTIONS VOL. 61, 017 Guest Edtos: Peta S Vabanov, Rongxn Su, Hon Loong Lam, Xa Lu, Jří J Klemeš Copyght 017, AIDIC Sevz S..l. ISBN 978-88-95608-51-8; ISSN 83-916

More information

Physical Chemistry I for Biochemists. Lecture 18 (2/23/11) Announcement

Physical Chemistry I for Biochemists. Lecture 18 (2/23/11) Announcement Physcal Chestry I or Bochests Che34 Lecture 18 (2/23/11) Yoshtaka Ish Ch5.8-5.11 & HW6 Revew o Ch. 5 or Quz 2 Announceent Quz 2 has a slar orat wth Quz1. e s the sae. ~2 ns. Answer or HW5 wll be uploaded

More information

Study of C5/C6 isomerization on Pt/H-zeolite catalyst in industrial conditions

Study of C5/C6 isomerization on Pt/H-zeolite catalyst in industrial conditions Ovidius Univesity Annals of Chemisty Volume, Numbe, pp. -6, Study of / isomeization on Pt/H-zeolite catalyst in industial conditions Claudia Iina KONCSAG*, Ioan Alexandu TUTUN and Cistian SAFTA Ovidius

More information

Substances that are liquids or solids under ordinary conditions may also exist as gases. These are often referred to as vapors.

Substances that are liquids or solids under ordinary conditions may also exist as gases. These are often referred to as vapors. Chapte 0. Gases Chaacteistics of Gases All substances have thee phases: solid, liquid, and gas. Substances that ae liquids o solids unde odinay conditions may also exist as gases. These ae often efeed

More information

Falls in the realm of a body force. Newton s law of gravitation is:

Falls in the realm of a body force. Newton s law of gravitation is: GRAVITATION Falls in the ealm of a body foce. Newton s law of avitation is: F GMm = Applies to '' masses M, (between thei centes) and m. is =. diectional distance between the two masses Let ˆ, thus F =

More information

,..., k N. , k 2. ,..., k i. The derivative with respect to temperature T is calculated by using the chain rule: & ( (5) dj j dt = "J j. k i.

,..., k N. , k 2. ,..., k i. The derivative with respect to temperature T is calculated by using the chain rule: & ( (5) dj j dt = J j. k i. Suppleentary Materal Dervaton of Eq. 1a. Assue j s a functon of the rate constants for the N coponent reactons: j j (k 1,,..., k,..., k N ( The dervatve wth respect to teperature T s calculated by usng

More information

THREE-DIMENSIONAL CONSTITUTIVE EQUATION OF SHAPE MEMORY POLYMERS AND THEIR COMPOSITES

THREE-DIMENSIONAL CONSTITUTIVE EQUATION OF SHAPE MEMORY POLYMERS AND THEIR COMPOSITES THE 19 TH INTERNATIONAL CONFERENCE ON COMPOSITE MATERIALS THREE-DIMENSIONAL CONSTITUTIVE EQUATION OF SHAPE MEMORY POLYMERS AND THEIR COMPOSITES H. Pak 1, W.-R. Yu 1*, P. Hason, Z. Guo 3 1 Depatment of

More information

DYNAMICS VECTOR MECHANICS FOR ENGINEERS: Kinematics of Rigid Bodies in Three Dimensions. Seventh Edition CHAPTER

DYNAMICS VECTOR MECHANICS FOR ENGINEERS: Kinematics of Rigid Bodies in Three Dimensions. Seventh Edition CHAPTER Edton CAPTER 8 VECTOR MECANCS FOR ENGNEERS: DYNAMCS Fednand P. Bee E. Russell Johnston, J. Lectue Notes: J. Walt Ole Teas Tech Unvest Knematcs of Rgd Bodes n Thee Dmensons 003 The McGaw-ll Companes, nc.

More information

ISSN: [Ramalakshmi* et al., 6(1): January, 2017] Impact Factor: 4.116

ISSN: [Ramalakshmi* et al., 6(1): January, 2017] Impact Factor: 4.116 IJESRT ITERATIOAL JOURAL OF EGIEERIG SCIECES & RESEARCH TECHOLOGY AALYSE THE OPTIMAL ERROR AD SMOOTHESS VALUE OF CHEBYSHEV WAVELET V.Raalaksh, B.Raesh Kua, T.Balasubaanan (Depatent o Matheatcs, atonal

More information

Distinct 8-QAM+ Perfect Arrays Fanxin Zeng 1, a, Zhenyu Zhang 2,1, b, Linjie Qian 1, c

Distinct 8-QAM+ Perfect Arrays Fanxin Zeng 1, a, Zhenyu Zhang 2,1, b, Linjie Qian 1, c nd Intenatonal Confeence on Electcal Compute Engneeng and Electoncs (ICECEE 15) Dstnct 8-QAM+ Pefect Aays Fanxn Zeng 1 a Zhenyu Zhang 1 b Lnje Qan 1 c 1 Chongqng Key Laboatoy of Emegency Communcaton Chongqng

More information

Groupoid and Topological Quotient Group

Groupoid and Topological Quotient Group lobal Jounal of Pue and Appled Mathematcs SSN 0973-768 Volume 3 Numbe 7 07 pp 373-39 Reseach nda Publcatons http://wwwpublcatoncom oupod and Topolocal Quotent oup Mohammad Qasm Manna Depatment of Mathematcs

More information

Queuing Network Approximation Technique for Evaluating Performance of Computer Systems with Hybrid Input Source

Queuing Network Approximation Technique for Evaluating Performance of Computer Systems with Hybrid Input Source Int'l Conf. cientific Coputing CC'7 3 Queuing Netwok Appoxiation Technique fo Evaluating Pefoance of Copute ystes with Hybid Input ouce Nozoi iyaoto, Daisuke iyake, Kaoi Katsuata, ayuko Hiose, Itau Koike,

More information

The Concept of the Effective Mass Tensor in GR. Clocks and Rods

The Concept of the Effective Mass Tensor in GR. Clocks and Rods The Concept of the Effective Mass Tenso in GR Clocks and Rods Miosław J. Kubiak Zespół Szkół Technicznych, Gudziądz, Poland Abstact: In the pape [] we pesented the concept of the effective ass tenso (EMT)

More information

10/15/2013. PHY 113 C General Physics I 11 AM-12:15 PM MWF Olin 101

10/15/2013. PHY 113 C General Physics I 11 AM-12:15 PM MWF Olin 101 10/15/01 PHY 11 C Geneal Physcs I 11 AM-1:15 PM MWF Oln 101 Plan fo Lectue 14: Chapte 1 Statc equlbu 1. Balancng foces and toques; stablty. Cente of gavty. Wll dscuss elastcty n Lectue 15 (Chapte 15) 10/14/01

More information

Chapter 3 and Chapter 4

Chapter 3 and Chapter 4 Chapter 3 and Chapter 4 Chapter 3 Energy 3. Introducton:Work Work W s energy transerred to or rom an object by means o a orce actng on the object. Energy transerred to the object s postve work, and energy

More information

Orbital Angular Momentum

Orbital Angular Momentum Obta Anua Moentu In cassca echancs consevaton o anua oentu s soetes teated b an eectve epusve potenta Soon we w sove the 3D Sch. Eqn. The R equaton w have an anua oentu te whch ases o the Theta equaton

More information

AMSC 660 Scientific Computing I. Term Project The Assignment

AMSC 660 Scientific Computing I. Term Project The Assignment AS 66 Scentfc omputn I Prof. O Leary Term Project The Assnment odeln of a Seat Suspenson System Greory J. Hemen Dec., 6 ure depcts a lumped parameter system that may be used to model the response of a

More information

Energy in Closed Systems

Energy in Closed Systems Enegy n Closed Systems Anamta Palt palt.anamta@gmal.com Abstact The wtng ndcates a beakdown of the classcal laws. We consde consevaton of enegy wth a many body system n elaton to the nvese squae law and

More information

Metallurgy and materials

Metallurgy and materials José Adlso de Casto et al. etalluy ad ateals etalua e ateas http://d.do.o/0.590/0370-44672057099 José Adlso de Casto Ph.D., Pofesso Uvesdade Fedeal Fluese - UFF Poaa de Pós Gaduação e Eehaa etalúca Volta

More information

User-friendly model of heat transfer in. preheating, cool down and casting

User-friendly model of heat transfer in. preheating, cool down and casting ANNUAL REPORT 2010 UIUC, August 12, 2010 Use-fendly model of heat tansfe n submeged enty nozzles dung peheatng, cool down and castng Vaun Kuma Sngh, B.G. Thomas Depatment of Mechancal Scence and Engneeng

More information

One-Dimensional, Steady-State. State Conduction with Thermal Energy Generation

One-Dimensional, Steady-State. State Conduction with Thermal Energy Generation One-Dimensional, Steady-State State Conduction with Themal Enegy Geneation Implications of Enegy Geneation Involves a local (volumetic) souce of themal enegy due to convesion fom anothe fom of enegy in

More information

Application of H 2 -based Sliding Mode Control for an Active Magnetic Bearing System

Application of H 2 -based Sliding Mode Control for an Active Magnetic Bearing System Intenatonal ounal o Aeospace and Mechancal Enneen : 8 Applcaton o H -ased Sldn Mode Contol o an Actve Manetc Bean Syste Al Rashd Husan, Mohaad Noh Ahad, and Al Hal Mohd. Yat Astact In ths pape, applcaton

More information

Evaluation of Various Types of Wall Boundary Conditions for the Boltzmann Equation

Evaluation of Various Types of Wall Boundary Conditions for the Boltzmann Equation Ealuaton o Vaous Types o Wall Bounday Condtons o the Boltzmann Equaton Chstophe D. Wlson a, Ramesh K. Agawal a, and Felx G. Tcheemssne b a Depatment o Mechancal Engneeng and Mateals Scence Washngton Unesty

More information

CADiff: a software and method to numerically model diffusion and reactive diffusion in multi-component systems

CADiff: a software and method to numerically model diffusion and reactive diffusion in multi-component systems Cff: a softwae and method to numecally model dffuson and eactve dffuson n mult-component systems Maek NIELEWSKI a, Batlomej WIERZB b Intedscplnay Cente fo Mateals Modelng, Faculty of Mateals Scence and

More information

Chemical Engineering 170 October 11, 2004 Midterm Exam Closed Book and Closed Notes One 8.5 x 11 in. page of notes allowed

Chemical Engineering 170 October 11, 2004 Midterm Exam Closed Book and Closed Notes One 8.5 x 11 in. page of notes allowed Checal Engneeng 70 Octobe, 004 Me Exa Closed Book and Closed Notes One 8.5 x n. page of notes allowed Secton. Shot Answes. (6 pts.) Recently ste-ected utageness was used to odfy the cofacto specfcty of

More information

Chapter One Mixture of Ideal Gases

Chapter One Mixture of Ideal Gases herodynacs II AA Chapter One Mxture of Ideal Gases. Coposton of a Gas Mxture: Mass and Mole Fractons o deterne the propertes of a xture, we need to now the coposton of the xture as well as the propertes

More information

RE 6.d Electric and Rest Energy RE 6.e EP6, HW6: Ch 6 Pr s 58, 59, 91, 99(a-c), 105(a-c)

RE 6.d Electric and Rest Energy RE 6.e EP6, HW6: Ch 6 Pr s 58, 59, 91, 99(a-c), 105(a-c) ed. Lab., Mon. Tues. ed. Lab. Mon. Tues. 6.1-.4 (.1) Intoducng Enegy & ok Quz 5 L5: Buoyancy, Ccles & Pendulums 6.5-.7 (.) Rest Mass,ok by Changng oces tudy Day tudy Day 6.8-.9(.18,.19) Intoducng Potental

More information

CHAPTER 3 SYSTEMS OF PARTICLES

CHAPTER 3 SYSTEMS OF PARTICLES HAPTER 3 SYSTEMS O PARTILES 3. Intoducton By systes of patcles I ean such thngs as a swa of bees, a sta cluste, a cloud of gas, an ato, a bck. A bck s ndeed coposed of a syste of patcles atos whch ae constaned

More information

Chapter 31 Faraday s Law

Chapter 31 Faraday s Law Chapte 31 Faaday s Law Change oving --> cuent --> agnetic field (static cuent --> static agnetic field) The souce of agnetic fields is cuent. The souce of electic fields is chage (electic onopole). Altenating

More information

COMPOSITE BEAM WITH WEAK SHEAR CONNECTION SUBJECTED TO THERMAL LOAD

COMPOSITE BEAM WITH WEAK SHEAR CONNECTION SUBJECTED TO THERMAL LOAD COMPOSITE BEAM WITH WEAK SHEAR CONNECTION SUBJECTED TO THERMAL LOAD Ákos Jósef Lengyel, István Ecsed Assstant Lecturer, Professor of Mechancs, Insttute of Appled Mechancs, Unversty of Mskolc, Mskolc-Egyetemváros,

More information

Contact, information, consultations

Contact, information, consultations ontact, nfomaton, consultatons hemsty A Bldg; oom 07 phone: 058-347-769 cellula: 664 66 97 E-mal: wojtek_c@pg.gda.pl Offce hous: Fday, 9-0 a.m. A quote of the week (o camel of the week): hee s no expedence

More information

Adsorption and Desorption Kinetics for Diffusion Controlled Systems with a Strongly Concentration Dependent Diffusivity

Adsorption and Desorption Kinetics for Diffusion Controlled Systems with a Strongly Concentration Dependent Diffusivity The Open-Access Jounal fo the Basic Pinciples of Diffusion Theoy, Expeient and Application Adsoption and Desoption Kinetics fo Diffusion Contolled Systes with a Stongly Concentation Dependent Diffusivity

More information

Analysis of the chemical equilibrium of combustion at constant volume

Analysis of the chemical equilibrium of combustion at constant volume Analyss of the chemcal equlbum of combuston at constant volume Maus BEBENEL* *Coesondng autho LIEHNICA Unvesty of Buchaest Faculty of Aeosace Engneeng h. olzu Steet -5 6 Buchaest omana mausbeb@yahoo.com

More information

UNIT10 PLANE OF REGRESSION

UNIT10 PLANE OF REGRESSION UIT0 PLAE OF REGRESSIO Plane of Regesson Stuctue 0. Intoducton Ojectves 0. Yule s otaton 0. Plane of Regesson fo thee Vaales 0.4 Popetes of Resduals 0.5 Vaance of the Resduals 0.6 Summay 0.7 Solutons /

More information

The finite element approach for evaluation of extinction cross-section of realistically distorted raindrops

The finite element approach for evaluation of extinction cross-section of realistically distorted raindrops Indan Jounal of Rado & Space Physcs Vol. 37, Apl 008, pp. 114- The fnte eleent appoach fo evaluaton of extncton coss-secton of ealstcally dstoted andops Aajt & R P S Gangwa Depatent of Electoncs and Councaton

More information