Process engineering and design using Visual Basic®

618 Pages·2014·36.35 MB·English

by  Datta

Chemical Engineering
SECOND
S E C O N D E D I T I O N
EDITION
PROCESS ENGINEERING and
D P
E R
®
DESIGN USING VISUAL BASIC
S O
I
C
G
E
ARUN DATTA N
S
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“Many books for chemical engineers have been written from an academic point of view U

E S E C O N D E D I T I O N
and are intensely theoretical. [This book] demonstrates that it has been written by S
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someone who not only has a comprehensive theoretical understanding of the chemical en-
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gineering principles which are important for guiding the design engineer, but also has the PROCESS ENGINEERING and
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authority of a practicing professional who is current in the field of process engineering.” N

––Anthony Buckley, Chemical Engineer, Brisbane, Queensland, Australia V ®
E DESIGN USING VISUAL BASIC
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E
S
Software tools are a great aid to process engineers, but too much dependence on those tools can lead to
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suboptimal or inappropriate designs. Reliance on specific software can also be a hindrance to the design I
A N ARUN DATTA
process, if one lacks a firm understanding of the principles underlying its operation. Process Engineering
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and Design Using Visual Basic®, Second Edition continues to provide you with a unique and versatile G

suite of programs along with the underlying concepts, principles, and mathematics needed to make the B a
best use of them. A n
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Each chapter details the theory and techniques that provide the basis for specific design and engineering
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software and then showcases its development and functionality. This all-inclusive guide moves systemati-

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cally from basic mathematics to thermodynamics, fluid mechanics, heat transfer, distillation, separators,
overpressure protection, and glycol dehydration, providing the necessary design guidelines based on
international codes. Worked examples demonstrate the utility of each program.
Updated throughout, this edition includes three new chapters on thermodynamics, heat transfer, and
®
distillation as well as five new Visual Basic programs. After reading this book you will be able to im-
mediately put the programs into action and have total confidence in the result, regardless of your level of
DATTA
experience. All 14 programs are available for download, including a useful unit conversion tool.
K12916
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S E C O N D E D I T I O N
PROCESS ENGINEERING and
®
DESIGN USING VISUAL BASIC
© 2010 Taylor & Francis Group, LLC

S E C O N D E D I T I O N
PROCESS ENGINEERING and
®
DESIGN USING VISUAL BASIC
ARUN DATTA
Boca Raton London New York
CRC Press is an imprint of the
Taylor & Francis Group, an informa business
© 2010 Taylor & Francis Group, LLC
CRC Press
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© 2014 by Taylor & Francis Group, LLC
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Version Date: 20130715
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To my late mother Smt. Narayani Datta
© 2010 Taylor & Francis Group, LLC

Contents
Preface ..............................................................................................................xxv
Acknowledgments ......................................................................................xxvii
Author .............................................................................................................xxix
Chapter 1 Basic mathematics .......................................................................1
Introduction ........................................................................................................1
Physical constants ..............................................................................................1
SI prefixes .......................................................................................................1
Mensuration ........................................................................................................1
Triangles .........................................................................................................1
Rectangles .......................................................................................................2
Parallelogram (opposite sides parallel) ......................................................2
Rhombus (equilateral parallelogram) ........................................................3
Trapezoid (four sides, two parallel) ............................................................3
Quadrilateral (four sided) ............................................................................4
Regular polygon of n sides ...........................................................................4
Circle ...............................................................................................................4
Ellipse ..............................................................................................................6
Parabola ..........................................................................................................6
Prism ...............................................................................................................6
Pyramid ..........................................................................................................7
Right circular cylinder ..................................................................................7
Sphere ..............................................................................................................7
Right circular cone ........................................................................................8
Dished end .....................................................................................................8
Irregular shape ..............................................................................................8
Trapezoidal rule .............................................................................................8
Simpson’s rule ................................................................................................8
Irregular volume ...........................................................................................9
Algebra ................................................................................................................9
Factoring .........................................................................................................9
Arithmetic progression ................................................................................9
Geometric progression ...............................................................................10
© 2010 Taylor & Francis Group, LLC vii
viii Contents
Infinite series (in GP) ..................................................................................10
Best-fit straight line (least squares method) ............................................10
Binomial equation .......................................................................................11
Polynomial equation ...................................................................................11
Maxima/minima .........................................................................................12
Cubic equation .............................................................................................13
General procedure .............................................................................13
Matrix ............................................................................................................16
Addition and multiplication of matrices ........................................16
Addition of matrices ..........................................................................16
Multiplication of matrices.................................................................16
Matrix properties involving addition .............................................17
Matrix properties involving multiplication ...................................17
Matrix properties involving addition and
multiplication .....................................................................................18
Transpose ............................................................................................18
Symmetric matrix ..............................................................................18
Diagonal matrix .................................................................................19
Determinants ...............................................................................................19
Properties of determinants...............................................................19
Cofactor ...............................................................................................21
Determinant and inverses ................................................................21
Adjoint .................................................................................................21
Cramer’s rule ................................................................................................22
Trigonometry ....................................................................................................24
Functions of circular trigonometry ..........................................................24
Periodic functions .......................................................................................25
Magic identity ..............................................................................................25
Addition formulas .......................................................................................25
Double angle and half angle formulas .....................................................26
Product and sum formulas ........................................................................27
Relations between angles and sides of triangles ....................................28
Law of sines ..................................................................................................28
Law of tangents ...........................................................................................28
Law of cosines ..............................................................................................28
Other relations .............................................................................................29
Inverse trigonometric functions ................................................................29
Hyperbolic functions ..................................................................................30
Other hyperbolic functions ........................................................................31
Inverse hyperbolic functions .....................................................................31
Analytical geometry ........................................................................................32
Straight line ..................................................................................................32
Straight line through two points .....................................................32
© 2010 Taylor & Francis Group, LLC
Contents ix
Three points on one line ...................................................................32
Circle .............................................................................................................33
Tangent ................................................................................................33
Normal ................................................................................................33
Four points on a circle .......................................................................34
Circle through three points ..............................................................34
Conic section ................................................................................................35
Focus ....................................................................................................35
Eccentricity .........................................................................................35
Directrix ..............................................................................................35
Partial derivatives ..............................................................................35
Parabola ...............................................................................................36
Tangent line with a given slope, m ..................................................38
Ellipse ..................................................................................................38
Hyperbola ...........................................................................................40
Calculus .............................................................................................................42
Differential calculus ....................................................................................42
Understanding the derivatives ..................................................................43
Standard derivatives ...................................................................................44
Integral calculus ..........................................................................................45
Volume of horizontal dished end ....................................................45
Volume of vertical dished end .........................................................47
Standard integrals .......................................................................................48
Differential equations ......................................................................................49
First-order differential equations ..............................................................49
Separation of variables ......................................................................50
Second-order differential equations .........................................................50
Bessel function ...................................................................................51
Partial differential equations..........................................................................52
Laplace transform .......................................................................................59
Standard Laplace transforms ....................................................................60
Fourier half-range expansions ...................................................................61
Fourier half-range cosine series ................................................................61
Fourier half-range sine series ....................................................................61
Numerical analysis ..........................................................................................63
Solving linear equations (Newton’s method) ..........................................63
Newton’s method in two variables ...........................................................64
Numerical methods in linear algebra ......................................................66
Gauss elimination ..............................................................................66
Cholesky method ...............................................................................67
Numerical integration ................................................................................69
Trapezoidal rule .................................................................................69
Simpson’s rule ....................................................................................70
© 2010 Taylor & Francis Group, LLC