# GATE Syllabus for Chemical Engineering

Save this PDF as:

Size: px
Start display at page:

## Transcription

1 2017 YOUR CAREER QUEST ENDS HERE GATE Syllabus for Chemical Engineering

2 Section 1: Engineering Mathematics Linear Algebra: 1. Matrix algebra, 2. Systems of linear equations, 3. Eigen values and eigenvectors. Calculus: 1. Functions of single variable, Limit, continuity and differentiability, 2. Taylor series, 3. Mean value theorems, 4. Evaluation of definite and improper integrals, 5. Partial derivatives, Total derivative, 6. Maxima and minima, 7. Gradient, Divergence and Curl, 8. Vector identities, 9. Directional derivatives, 10. Line, Surface and Volume integrals, 11. Stokes, Gauss and Green s theorems. Differential equations: 1. First order equations (linear and nonlinear), 2. Higher order linear differential equations with constant coefficients, 3. Cauchy s and Euler s equations, 4. Initial and boundary value problems, 5. Laplace transforms, 6. Solutions of one dimensional heat and wave equations and Laplace equation. Complex variables: 1. Complex number, 2. polar form of complex number, 3. Triangle inequality.

3 Probability and Statistics: 1. Definitions of probability and sampling theorems, 2. Conditional probability, 3. Mean, median, mode and standard deviation, 4. Random variables, 5. Poisson, Normal and Binomial distributions, 6. Linear regression analysis. Numerical Methods: 1. Numerical solutions of linear and non-linear algebraic equations. 2. Integration by trapezoidal and Simpson s rule. 3. Single and multi-step methods for numerical solution of differential equations.

4 Section 2: Process Calculations and Thermodynamics 1. Steady and unsteady state mass and energy balances including multiphase, multicomponent, reacting and non-reacting systems. 2. Use of tie components; recycle, bypass and purge calculations; Gibb s phase rule and degree of freedom analysis. 3. First and Second laws of thermodynamics. 4. Applications of first law to close and open systems. 5. Second law and Entropy. 6. Thermodynamic properties of pure substances: Equation of State and residual properties, properties of mixtures: partial molar properties, fugacity, excess properties and activity coefficients; phase equilibria: predicting VLE of systems; chemical reaction equilibrium. Section 3: Fluid Mechanics and Mechanical Operations 1. Fluid statics, Newtonian and non-newtonian fluids, shell-balances including differential form of Bernoulli equation and energy balance, Macroscopic friction factors, dimensional analysis and similitude, flow through pipeline systems, flow meters, pumps and compressors, elementary boundary layer theory, flow past immersed bodies including packed and fluidized beds, Turbulent flow: fluctuating velocity, universal velocity profile and pressure drop. 2. Particle size and shape, particle size distribution, size reduction and classification of solid particles; free and hindered settling; centrifuge and cyclones; thickening and classification, filtration, agitation and mixing; conveying of solids. Section 4: Heat Transfer 1. Steady and unsteady heat conduction, convection and radiation, thermal boundary layer and heat transfer coefficients, boiling, condensation and evaporation; 2. Types of heat exchangers and evaporators and their process calculations. 3. Design of double pipe, shell and tube heat exchangers, and single and multiple effect evaporators.

5 Section 5: Mass Transfer 1. Fick s laws, molecular diffusion in fluids, mass transfer coefficients, film, penetration and surface renewal theories; momentum, heat and mass transfer analogies; 2. Stage-wise and continuous contacting and stage efficiencies; HTU & NTU concepts; 3. Design and operation of equipment for distillation, absorption, leaching, liquid-liquid extraction, drying, humidification, dehumidification and adsorption. Section 6: Chemical Reaction Engineering 1. Theories of reaction rates; 2. Kinetics of homogeneous reactions, interpretation of kinetic data, single and multiple reactions in ideal reactors, non-ideal reactors; 3. Residence time distribution, single parameter model; 4. Non-isothermal reactors; 5. Kinetics of heterogeneous catalytic reactions; 6. Diffusion effects in catalysis. Section 7: Instrumentation and Process Control 1. Measurement of process variables; 2. sensors, transducers and their dynamics, process modelling and linearization, transfer functions and dynamic responses of various systems, systems with inverse response, process reaction curve, controller modes (P, PI, and PID); 3. Control valves; 4. Analysis of closed loop systems including stability, frequency response, controller tuning, cascade and feed forward control. Section 8: Plant Design and Economics 1. Principles of process economics and cost estimation including depreciation and total annualized cost, cost indices, rate of return, payback period, discounted cash flow, optimization in process design and sizing of chemical engineering equipment s such as compressors, heat exchangers, multistage contactors.

6 Section 9: Chemical Technology 1. Inorganic chemical industries (sulphuric acid, phosphoric acid, chlor-alkali industry), fertilizers (Ammonia, Urea, SSP and TSP); 2. Natural products industries (Pulp and Paper, Sugar, Oil, and Fats); 3. Petroleum refining and petrochemicals; polymerization industries (polyethylene, polypropylene, PVC and polyester synthetic fibres). BEST OF LUCK

### 4200: Chemical Engineering Graduate Courses

4200: Chemical Engineering Graduate Courses 521 FUNDAMENTALS OF MULTIPHASE TRANSPORT PHENOMENA 3 credits Prerequisites: 321 or equivalent and permission. Major topics to be covered include intraphase and

### Course Learning Objectives (CLO) and Course Outcomes (CO)

Course Learning Objectives (CLO) and Course Outcomes (CO) B.E. Chemical Engineering UCH101 INTRODUCTION TO CHEMICAL ENGINEERING To introduce history, importance and components of chemical engineering,

### Course Descriptions - Chemical Engineering

One of the nation's top undergraduate engineering, science, and mathematics colleges Course Descriptions - Chemical Engineering Professors Anklam, Artigue, Bagheri-Tar, Coronell, Hariri, McClellan, D.

### Chemical Engineering - CHEN

Auburn University 1 Chemical Engineering - CHEN Courses CHEN 2100 PRINCIPLES OF CHEMICAL ENGINEERING (4) LEC. 3. LAB. 3. Pr. (CHEM 1110 or CHEM 1117 or CHEM 1030) and (MATH 1610 or MATH 1613 or MATH 1617

### DEPARTMENT OF CHEMICAL AND PETROLEUM ENGINEERING

DEPARTMENT OF CHEMICAL AND PETROLEUM ENGINEERING Chemical Engineering Program Mission The Chemical and Petroleum Engineering Department is devoted to educating exemplary chemical engineers by instituting

### Study Plan: Chemical Engineering

Study Plan: College: Engineering Dept.: Program: Degree: Bachelor of Science in Total credit hours required for graduation Credit Hours Admitting Criteria: High School Diploma 75 % Foundation Engineering:

### INTRODUCTION TO FLUID MECHANICS

INTRODUCTION TO FLUID MECHANICS SIXTH EDITION ROBERT W. FOX Purdue University ALAN T. MCDONALD Purdue University PHILIP J. PRITCHARD Manhattan College JOHN WILEY & SONS, INC. CONTENTS CHAPTER 1 INTRODUCTION

### ME6130 An introduction to CFD 1-1

ME6130 An introduction to CFD 1-1 What is CFD? Computational fluid dynamics (CFD) is the science of predicting fluid flow, heat and mass transfer, chemical reactions, and related phenomena by solving numerically

### Chemical Engineering: undergraduate course contents

Chemical Engineering: undergraduate course contents 2016-17 1 Chemical Engineering course contents This document gives information on the course structure and contents to potential undergraduate applicants

### B.Eng. (Chemical and Biomolecular Engineering) Description of courses

B.Eng. (Chemical and Biomolecular Engineering) Description of courses Year 1 courses MH1810 Mathematics 1 (3 AU) In this course, the basic concepts of limits, differentiation, and integration are introduced.

### CHEMICAL ENGINEERING AND CHEMICAL PROCESS TECHNOLOGY - Vol. I - Interphase Mass Transfer - A. Burghardt

INTERPHASE MASS TRANSFER A. Burghardt Institute of Chemical Engineering, Polish Academy of Sciences, Poland Keywords: Turbulent flow, turbulent mass flux, eddy viscosity, eddy diffusivity, Prandtl mixing

### Differential Relations for Fluid Flow. Acceleration field of a fluid. The differential equation of mass conservation

Differential Relations for Fluid Flow In this approach, we apply our four basic conservation laws to an infinitesimally small control volume. The differential approach provides point by point details of

### Mean value theorem, Taylors Theorem, Maxima and Minima.

MA 001 Preparatory Mathematics I. Complex numbers as ordered pairs. Argand s diagram. Triangle inequality. De Moivre s Theorem. Algebra: Quadratic equations and express-ions. Permutations and Combinations.

### Development of a Model for Wet Scrubbing of Carbon Dioxide by Chilled Ammonia

Development of a Model for Wet Scrubbing of Carbon Dioxide by Chilled Ammonia John Nilsson Department of Chemical Engineering, Lund University, P. O. Box 124, SE-221 00 Lund, Sweden In this paper, the

### MASTER OF SCIENCE IN MECHANICAL ENGINEERING

MASTER OF SCIENCE IN MECHANICAL ENGINEERING Introduction There are over 22 schools in Mindanao that offer Bachelor of Science in Mechanical Engineering and majority of their faculty members do not have

### Fundamentals of Fluid Mechanics

Sixth Edition. Fundamentals of Fluid Mechanics International Student Version BRUCE R. MUNSON DONALD F. YOUNG Department of Aerospace Engineering and Engineering Mechanics THEODORE H. OKIISHI Department

### Lecture 3 Fluid Dynamics and Balance Equa6ons for Reac6ng Flows

Lecture 3 Fluid Dynamics and Balance Equa6ons for Reac6ng Flows 3.- 1 Basics: equations of continuum mechanics - balance equations for mass and momentum - balance equations for the energy and the chemical

### SCHOOL OF ENGINEERING & APPLIED SCIENCE MIAMI UNIVERSITY 2008-2009

PAPER SCIENCE & ENGINEERING BACCALAUREATE PROGRAM This program leads to the degree, Bachelor of Science in Paper Science & Engineering (Accredited by the Engineering Accreditation Commission of ABET) SCHOOL

### SCHWEITZER ENGINEERING LABORATORIES, COMERCIAL LTDA.

Pocket book of Electrical Engineering Formulas Content 1. Elementary Algebra and Geometry 1. Fundamental Properties (real numbers) 1 2. Exponents 2 3. Fractional Exponents 2 4. Irrational Exponents 2 5.

### Computational Fluid Dynamics (CFD) and Multiphase Flow Modelling. Associate Professor Britt M. Halvorsen (Dr. Ing) Amaranath S.

Computational Fluid Dynamics (CFD) and Multiphase Flow Modelling Associate Professor Britt M. Halvorsen (Dr. Ing) Amaranath S. Kumara (PhD Student), PO. Box 203, N-3901, N Porsgrunn, Norway What is CFD?

APPLIED MATHEMATICS ADVANCED LEVEL INTRODUCTION This syllabus serves to examine candidates knowledge and skills in introductory mathematical and statistical methods, and their applications. For applications

### STAGE - 1 SYLLABUS : CLASS XI PHYSICS STAGE - 2 SYLLABUS : CLASS XI PHYSICS STAGE - 1 SYLLABUS : CLASS XII PHYSICS STAGE - 2. SYLLABUS : Class XII

1. Physical world and measurement 2. Kinematics 3. Laws of Motion 4. Work Energy Power 5. Motion of System of Particles & Rigid body 1. Physical world and measurement 2. Kinematics 3. Laws of Motion 4.

### BEng (Hons) Chemical and Environmental Engineering - E400 (Under Review)

1. Aim BEng (Hons) Chemical and Environmental - E400 (Under Review) The Degree Programme has been designed to help meet the future needs of the Mauritian economy. Consumer demand for a variety of processed

### DISTANCE DEGREE PROGRAM CURRICULUM NOTE:

Bachelor of Science in Electrical Engineering DISTANCE DEGREE PROGRAM CURRICULUM NOTE: Some Courses May Not Be Offered At A Distance Every Semester. Chem 121C General Chemistry I 3 Credits Online Fall

### BEng (Hons) Chemical and Renewable Energy Engineering - E401 (Under Review)

BEng (Hons) Chemical and Renewable Energy Engineering - E401 (Under Review) 1. Objectives The programme is intended to provide an in-depth knowledge and understanding of the development, design and operation

### Chapter 1. Governing Equations of Fluid Flow and Heat Transfer

Chapter 1 Governing Equations of Fluid Flow and Heat Transfer Following fundamental laws can be used to derive governing differential equations that are solved in a Computational Fluid Dynamics (CFD) study

### جامعة البلقاء التطبيقية

AlBalqa Applied University تا سست عام 997 The curriculum of associate degree in Air Conditioning, Refrigeration and Heating Systems consists of (7 credit hours) as follows: Serial No. Requirements First

### Fundamentals of Heat and Mass Transfer

2008 AGI-Information Management Consultants May be used for personal purporses only or by libraries associated to dandelon.com network. SIXTH EDITION Fundamentals of Heat and Mass Transfer FRANK P. INCROPERA

### Introduction to CFD Analysis

Introduction to CFD Analysis 2-1 What is CFD? Computational Fluid Dynamics (CFD) is the science of predicting fluid flow, heat and mass transfer, chemical reactions, and related phenomena by solving numerically

### Fundamentals of THERMAL-FLUID SCIENCES

Fundamentals of THERMAL-FLUID SCIENCES THIRD EDITION YUNUS A. CENGEL ROBERT H. TURNER Department of Mechanical JOHN M. CIMBALA Me Graw Hill Higher Education Boston Burr Ridge, IL Dubuque, IA Madison, Wl

### Express Introductory Training in ANSYS Fluent Lecture 1 Introduction to the CFD Methodology

Express Introductory Training in ANSYS Fluent Lecture 1 Introduction to the CFD Methodology Dimitrios Sofialidis Technical Manager, SimTec Ltd. Mechanical Engineer, PhD PRACE Autumn School 2013 - Industry

### Chemical Engineering for Non Chemical Engineers

Page 1 of 5 Rev 3.0 Chemical Engineering for Non Chemical Engineers Introduction The success of every company depends of each employee's understanding of the key business components. Employee training

### 240EQ014 - Transportation Science

Coordinating unit: 240 - ETSEIB - Barcelona School of Industrial Engineering Teaching unit: 713 - EQ - Department of Chemical Engineering Academic year: Degree: 2015 MASTER'S DEGREE IN CHEMICAL ENGINEERING

### Exercise 4 Methanol Synthesis

Exercise 4 Methanol Synthesis In a methanol plant natural gas is reformed into synthesis gas ( and ) which reacts to methanol and is distilled to high purity. This exercise will be limited to the reaction

### Customer Training Material. Lecture 2. Introduction to. Methodology ANSYS FLUENT. ANSYS, Inc. Proprietary 2010 ANSYS, Inc. All rights reserved.

Lecture 2 Introduction to CFD Methodology Introduction to ANSYS FLUENT L2-1 What is CFD? Computational Fluid Dynamics (CFD) is the science of predicting fluid flow, heat and mass transfer, chemical reactions,

### Analytical Methods for Engineers

Unit 1: Analytical Methods for Engineers Unit code: A/601/1401 QCF level: 4 Credit value: 15 Aim This unit will provide the analytical knowledge and techniques needed to carry out a range of engineering

### Applied Fluid Mechanics

Applied Fluid Mechanics Sixth Edition Robert L. Mott University of Dayton PEARSON Prentkv Pearson Education International CHAPTER 1 THE NATURE OF FLUIDS AND THE STUDY OF FLUID MECHANICS 1.1 The Big Picture

### Heuristics for Process Synthesis. Ref:Product and Process Design Principles, Seider, Seaderand Lewin, Chapter 5 in 2 nd Ed, 6 in 3 rd Ed.

Heuristics for Process Synthesis Ref:Product and Process Design Principles, Seider, Seaderand Lewin, Chapter 5 in 2 nd Ed, 6 in 3 rd Ed. Preliminary Process Synthesis The process design involves the synthesis

### Department of Chemical and Environmental Process Engineering. Extraction. Chemical Unit Operations II. Béla Simándi, Edit Székely

Department of Chemical and Environmental Process Engineering Extraction Chemical Unit Operations II. Béla Simándi, Edit Székely Extraction I. Liquid-liquid extraction (Solvent extraction) II. Solid-liquid

### ChE 182 Major #1 Acrylic Acid Process

ChE 182 Major #1 Acrylic Acid Process Background The plant at which you are employed currently manufactures acrylic acid in Unit 300 by the catalytic oxidation of propylene. Plant capacity is on the order

### The Next Generation of Activated Carbon Adsorbents for the Pre- Combustion Capture of Carbon Dioxide.

The Next Generation of Activated Carbon Adsorbents for the Pre- Combustion Capture of Carbon Dioxide. Power Plant Modelling Workshop at University of Warwick Dr. Joe Wood,Prof. Jihong Wang, Simon Caldwell,

### FLUID MECHANICS IM0235 DIFFERENTIAL EQUATIONS - CB0235 2014_1

COURSE CODE INTENSITY PRE-REQUISITE CO-REQUISITE CREDITS ACTUALIZATION DATE FLUID MECHANICS IM0235 3 LECTURE HOURS PER WEEK 48 HOURS CLASSROOM ON 16 WEEKS, 32 HOURS LABORATORY, 112 HOURS OF INDEPENDENT

### Chemical Engineering Dual Degree Courses & Credits Distribution

Chemical Engineering Dual Degree Courses & Credits Distribution Credits Distribution: UG Category Total Credits Basic Sciences 22 Engineering Arts and Science 18 Humanities and Social Sciences 1 Programme

### Math Department Student Learning Objectives Updated April, 2014

Math Department Student Learning Objectives Updated April, 2014 Institutional Level Outcomes: Victor Valley College has adopted the following institutional outcomes to define the learning that all students

### Differential Balance Equations (DBE)

Differential Balance Equations (DBE) Differential Balance Equations Differential balances, although more complex to solve, can yield a tremendous wealth of information about ChE processes. General balance

### DEPARTMENT OF PROCESS OPERATIONS TECHNOLOGY Part-Time - Bachelor Degree Plan

DEPARTMENT OF PROCESS OPERATIONS TECHNOLOGY Part-Time - Bachelor Degree Plan FIRST YEAR (S 1) (1 st Semester) Module Descriptive title Lec. Lab/Tut Credit TECHEM Engineering Chemistry 6 4 10 TMATH Technical

### KUWAIT UNIVERSITY College of Engineering & Petroleum Chemical Engineering Department. Assessment Plan. Revised September 2005

1 KUWAIT UNIVERSITY College of Engineering & Petroleum Chemical Engineering Department Assessment Plan Revised September 2005 2 Chemical Engineering Program Vision, Mission and Educational Objectives Vision

### International Master of Science Degree Program

International Master of Science Degree Program Sustainable Energy Systems Courses in English http://www.sirius.luth.se/energy/ International Master of Science Degree Program taught in English at Luleå

### Basic Equations, Boundary Conditions and Dimensionless Parameters

Chapter 2 Basic Equations, Boundary Conditions and Dimensionless Parameters In the foregoing chapter, many basic concepts related to the present investigation and the associated literature survey were

### Convective Mass Transfer

Convective Mass Transfer R. Shankar Subramanian Department of Chemical and Biomolecular Engineering Clarkson University We already have encountered the mass transfer coefficient defined in a manner analogous

### Prerequisite: High School Chemistry.

ACT 101 Financial Accounting The course will provide the student with a fundamental understanding of accounting as a means for decision making by integrating preparation of financial information and written

### JEE (Main) 2014. A Detailed Analysis by Resonance

JEE (Main) 2014 A Detailed by Resonance OVERALL MARKS DISTRIBUTION OVERALL DIFFICULTY LEVEL ANALYSIS Difficulty Level Overall Physics Mathematics Chemistry 1.70 1.74 1.76 1.76 1.66 1.68 1.70 1.72 1.74

### Effects of mass transfer processes in designing a heterogeneous catalytic reactor

Project Report 2013 MVK160 Heat and Mass Transport May 13, 2013, Lund, Sweden Effects of mass transfer processes in designing a heterogeneous catalytic reactor Maryneth de Roxas Dept. of Energy Sciences,

### Further Analytical Methods for Engineers

Unit 22: Unit code: Further Analytical Methods for Engineers J/601/1465 QCF level: 5 Credit value: 15 Aim This unit aims to further develop the analytical knowledge and techniques necessary to analyse

### ECH 4224L Unit Operations Lab I Thin Film Evaporator. Introduction. Objective

Introduction In this experiment, you will use thin-film evaporator (TFE) to separate a mixture of water and ethylene glycol (EG). In a TFE a mixture of two fluids runs down a heated inner wall of a cylindrical

### The Age of Computer Aided Modeling

C APEC The Age of Computer Aided Modeling Rafiqul Gani CAPEC Department of Chemical Engineering, Technical University of Denmark, DK-2800 Lyngby, Denmark http://www.capec.kt.dtu.dk Outline Introduction

### MODULE SPECIFICATION FORM

MODULE SPECIFICATION FORM Module Title: Thermo-fluid and Propulsion Level: 5 Credit Value: 20 Module code: (if known) ENG538 Cost Centre: GAME JACS2 code: H141/H311/ H450 Semester(s) in which to be offered:

### Steven Burian Civil & Environmental Engineering March 27, 2015

Fundamentals of Engineering (FE) Exam Mechanics Steven Burian Civil & Environmental Engineering March 27, 2015 s and FE Morning ( Mechanics) A. Flow measurement 7% of FE Morning B. properties Session C.

### ENERGY TRANSFER SYSTEMS AND THEIR DYNAMIC ANALYSIS

ENERGY TRANSFER SYSTEMS AND THEIR DYNAMIC ANALYSIS Many mechanical energy systems are devoted to transfer of energy between two points: the source or prime mover (input) and the load (output). For chemical

### Gas Turbine Engine Performance Analysis. S. Jan

Gas Turbine Engine Performance Analysis S. Jan Jul. 21 2014 Chapter 1 Basic Definitions Potential & Kinetic Energy PE = mgz/g c KE = mv 2 /2g c Total Energy Operational Envelopes & Standard Atmosphere

### Lecture 5 Hemodynamics. Description of fluid flow. The equation of continuity

1 Lecture 5 Hemodynamics Description of fluid flow Hydrodynamics is the part of physics, which studies the motion of fluids. It is based on the laws of mechanics. Hemodynamics studies the motion of blood

### PETROLEUM AND GAS ENGINEERING B.SC. (Hons) Petroleum and Gas Engineering.

PETROLEUM AND GAS ENGINEERING B.SC. (Hons) Petroleum and Gas Engineering. 100 Level 1 st semester Code Description Units GST 105 Use of English 2 FSC 102 Intro Chemistry l 3 FGC 105 Intro physics l 3 GEG

### DSST PRINCIPLES OF PHYSICAL SCIENCE I

DSST EXAM CONTENT FACT SHEET DSST PRINCIPLES OF PHYSICAL SCIENCE I EXAM INFORMATION This exam was developed to enable schools to award credit to students for knowledge equivalent to that learned by students

### Fundamentals of Transport Processes Prof. Kumaran Department of Chemical Engineering Indian Institute of Science, Bangalore

Fundamentals of Transport Processes Prof. Kumaran Department of Chemical Engineering Indian Institute of Science, Bangalore Module No. # 02 Lecture No. # 06 Mechanisms of diffusion-1 Welcome to the sixth

### COURSE DESCRIPTION OF INDUSTRIAL ENGINEERING

SUMMARY OF COURSE DESCRIPTIONS BACHELOR OF SCIENCE IN INDUSTRIAL ENGINEERING COURSE DESCRIPTION OF INDUSTRIAL ENGINEERING A. MATHEMATICS ALGEBRA (MATH 114) - A course designed to give the student a better

### GENERAL STRUCTURE AND ORGANISATION OF THE CHEMICAL ENGINEERING DEGREE IN THE UNIVERSITY OF VALENCIA

GENERAL STRUCTURE AND ORGANISATION OF THE CHEMICAL ENGINEERING DEGREE IN THE UNIVERSITY OF VALENCIA The programme is taught within the framework of a modular, semester-based scheme. Assessment is based

### 1. Students will demonstrate an understanding of the real number system as evidenced by classroom activities and objective tests

MATH 102/102L Inter-Algebra/Lab Properties of the real number system, factoring, linear and quadratic equations polynomial and rational expressions, inequalities, systems of equations, exponents, radicals,

### Page Points Score Total: 150

Name: Date: Page Points Score 2 14 3 14 4 30 5 27 6 43 7 22 Total: 150 Show all your work. Write in Pen. Check your significant figures and units. Answers must be circled. Good Luck! Total Time: 110 mins

### UPhysical Science 412 Level 2. Physics

UPhysical Science 412 Level 2 Physics Mathematical skills Construct and use tables and graphs to interpret data sets. Solve basic algebraic expressions. Measure with accuracy and precision (e.g., length,

### Indiana's Academic Standards 2010 ICP Indiana's Academic Standards 2016 ICP. map) that describe the relationship acceleration, velocity and distance.

.1.1 Measure the motion of objects to understand.1.1 Develop graphical, the relationships among distance, velocity and mathematical, and pictorial acceleration. Develop deeper understanding through representations

### 1 Continuum versus Discrete Models

1 1 Continuum versus Discrete Models Introduction Flow and transport phenomena in porous media and fractured rock as well as industrial synthetic porous matrices arise in many diverse fields of science

### MODELING, SIMULATION AND DESIGN OF CONTROL CIRCUIT FOR FLEXIBLE ENERGY SYSTEM IN MATLAB&SIMULINK

MODELING, SIMULATION AND DESIGN OF CONTROL CIRCUIT FOR FLEXIBLE ENERGY SYSTEM IN MATLAB&SIMULINK M. Pies, S. Ozana VSB-Technical University of Ostrava Faculty of Electrotechnical Engineering and Computer

### Contents. Bibliografische Informationen digitalisiert durch

1 Introduction 1 1.1 Introduction to Maple 1 1.1.1 Getting Started with Maple 1 1.1.2 Plotting with Maple 3 1.1.3 Solving Linear and Nonlinear Equations 5 1.1.4 Matrix Operations 6 1.1.5 Differential Equations

### FS 231: Principles of Food and Bioprocess Engineering (4 Credits)

North Carolina State University Department of Food, Bioprocessing and Nutrition Sciences (http://fbns.ncsu.edu) FS 231: Principles of Food and Bioprocess Engineering (4 Credits) Instructor: K.P. Sandeep

### Sohar University Faculty of Engineering Civil Engineering Courses Description

Level 1: Semester 1 Sohar University Faculty of Civil Courses ENGG1008 Drawing MATH1000 Mathematical Foundations CHEM1020 General Chemistry COMP1500 Introduction to Programming In engineering drawings

### Chapter 4 Parabolic Equations

161 Chapter 4 Parabolic Equations Partial differential equations occur in abundance in a variety of areas from engineering, mathematical biology and physics. In this chapter we will concentrate upon the

### MATH Mathematics-Nursing. MATH Remedial Mathematics I-Business & Economics. MATH Remedial Mathematics II-Business and Economics

MATH 090 - Mathematics-Nursing MATH 091 - Remedial Mathematics I-Business & Economics MATH 094 - Remedial Mathematics II-Business and Economics MATH 095 - Remedial Mathematics I-Science (3 CH) MATH 096

### School School of Engineering Major Industrial Engineering Core Requirements Code Title Credits MATH270 Ordinary Differential Equations First order

School School of Engineering Major Industrial Engineering Core Requirements MATH270 Ordinary Differential Equations First order equations, linear and non linear differential, linearization, numerical and

### Contents. Microfluidics - Jens Ducrée Physics: Navier-Stokes Equation 1

Contents 1. Introduction 2. Fluids 3. Physics of Microfluidic Systems 4. Microfabrication Technologies 5. Flow Control 6. Micropumps 7. Sensors 8. Ink-Jet Technology 9. Liquid Handling 10.Microarrays 11.Microreactors

### Applied Fluid Mechanics

Applied Fluid Mechanics 1. The Nature of Fluid and the Study of Fluid Mechanics 2. Viscosity of Fluid 3. Pressure Measurement 4. Forces Due to Static Fluid 5. Buoyancy and Stability 6. Flow of Fluid and

### M&V of Hot Water Boiler Plant. Boban Ratkovich, P. Eng, CEM, BESA, LEED AP President CES Engineering Ltd

M&V of Hot Water Boiler Plant Boban Ratkovich, P. Eng, CEM, BESA, LEED AP President CES Engineering Ltd AIA Quality Assurance Learning Objectives 1. Case study examples of procedures and obstacles in measuring

### Graduate Courses in Mechanical Engineering

Graduate Courses in Mechanical Engineering MEEG 501 ADVANCED MECHANICAL ENGINEERING ANALYSIS An advanced, unified approach to the solution of mechanical engineering problems, with emphasis on the formulation

### AN INTRODUCTION TO NUMERICAL METHODS AND ANALYSIS

AN INTRODUCTION TO NUMERICAL METHODS AND ANALYSIS Revised Edition James Epperson Mathematical Reviews BICENTENNIAL 0, 1 8 0 7 z ewiley wu 2007 r71 BICENTENNIAL WILEY-INTERSCIENCE A John Wiley & Sons, Inc.,

### NUMERICAL ANALYSIS OF THE EFFECTS OF WIND ON BUILDING STRUCTURES

Vol. XX 2012 No. 4 28 34 J. ŠIMIČEK O. HUBOVÁ NUMERICAL ANALYSIS OF THE EFFECTS OF WIND ON BUILDING STRUCTURES Jozef ŠIMIČEK email: jozef.simicek@stuba.sk Research field: Statics and Dynamics Fluids mechanics

### Fick s Law for Binary Systems

Fick s aw for Binary ystems 9 MassTransfer.key - January 10, 2014 HR 3.1.1 Molar Fluxes in Binary ystems N A = cx A v A N = N A + N B v M = N c = N A + N B c J A = N A molar diffusive flux of A (relative

### JEE (Main) A Detailed Analysis by Resonance

JEE (Main) 2015 JEE (Main)-2015 A Detailed by Resonance On 4-April-2015, JEE (Main) 2015 was conducted for students opting to take this exam by offline mode. This is the third edition of this Exams after

### Science Standard Articulated by Grade Level Strand 5: Physical Science

Concept 1: Properties of Objects and Materials Classify objects and materials by their observable properties. Kindergarten Grade 1 Grade 2 Grade 3 Grade 4 PO 1. Identify the following observable properties

### Laboratory exercise No. 4 Water vapor and liquid moisture transport

Laboratory exercise No. 4 Water vapor and liquid moisture transport Water vapor transport in porous materials Due to the thermal conductivity of water and other unfavourable properties and effects in porous

### Contents. Gbur, Gregory J. Mathematical methods for optical physics and engineering digitalisiert durch: IDS Basel Bern

Preface page xv 1 Vector algebra 1 1.1 Preliminaries 1 1.2 Coordinate System invariance 4 1.3 Vector multiplication 9 1.4 Useful products of vectors 12 1.5 Linear vector Spaces 13 1.6 Focus: periodic media

### Chemical Process Simulation

Chemical Process Simulation The objective of this course is to provide the background needed by the chemical engineers to carry out computer-aided analyses of large-scale chemical processes. Major concern

### Feature Commercial codes In-house codes

A simple finite element solver for thermo-mechanical problems Keywords: Scilab, Open source software, thermo-elasticity Introduction In this paper we would like to show how it is possible to develop a

### Mathematics (MAT) Faculty Mary Hayward, Chair Charles B. Carey Garnet Hauger, Affiliate Tim Wegner

Mathematics (MAT) Faculty Mary Hayward, Chair Charles B. Carey Garnet Hauger, Affiliate Tim Wegner About the discipline The number of applications of mathematics has grown enormously in the natural, physical

### Transport Phenomena. The Art of Balancing. Harry Van den Akker Robert F. Mudde. Delft Academic Press

Transport Phenomena The Art of Balancing Harry Van den Akker Robert F. Mudde Delft Academic Press Delft Academic Press First edition 2014 Published by Delft Academic Press /VSSD Leeghwaterstraat, 2628

### DEPARTMENT: SCIENCE COURSE TITLE: CHEMISTRY HONORS COURSE NUMBER: 236 GRADE(S): 10-12

DEPARTMENT: SCIENCE COURSE TITLE: CHEMISTRY HONORS COURSE NUMBER: 236 GRADE(S): 10-12 PRE-REQUISITES (IF ANY): ALGEBRA 2 (HONORS LEVEL) Matter and Measurement UNIT LENGTH CONTENT SKILLS METHODS OF ASSESSMENT

### Transport Phenomena. The Art of Balancing. Harry Van den Akker Robert F. Mudde. Delft Academic Press

Transport Phenomena The Art of Balancing Harry Van den Akker Robert F. Mudde Delft Academic Press Delft Academic Press First edition 2014 Published by Delft Academic Press /VSSD Leeghwaterstraat, 2628

### HEAT TRANSFER IM0245 3 LECTURE HOURS PER WEEK THERMODYNAMICS - IM0237 2014_1

COURSE CODE INTENSITY PRE-REQUISITE CO-REQUISITE CREDITS ACTUALIZATION DATE HEAT TRANSFER IM05 LECTURE HOURS PER WEEK 8 HOURS CLASSROOM ON 6 WEEKS, HOURS LABORATORY, HOURS OF INDEPENDENT WORK THERMODYNAMICS

### Chemical Engineering 2014/15

www.hft-education.com 2014/15 is a large scale industry with complex industrial plants that require a large investment to set-up. Due to the economic requirement to have these plants operating continuously