It is gratifying to note that the book has very widespread acceptance by faculty and students throughout the country.n the revised edition some new topics have been added.Additional solved examples have also been added.The data of transmission system in India has been updated.
This book covers a wide range of topics in polymer rheology. These are: Basic Principles, parameters, systems and applied mathematical models used in the rheological studies Melt flow analysis of different non-Newtonian fluids in laminar flow, transition between laminar and turbulent flow and modified Reynolds number The effects of different physical and molecular parameters on purely viscous rheological response of polymer melts and solutions Principles of rheometery and different types of viscometers and on-line rheometers The static and dynamic viscoelastic response of the polymer melts and solutions, viscoelasticity, mechanical models and Boltzmann superposition principle Molecular structure – viscoelasticity relationship and linear and non-linear viscoelasticity Effects of different processes, materials parameters like temperature, fillers (micro and nano-fillers) and molecular parameters like MW, MWD The role of rheology in polymer processing in different equipment Modified power law constants and two range power law constants for a large number of polymers, rheology software program in Java, comparison of different polymer rheological models using the rheology software and answers to the problems The book will be very useful to both undergraduate and postgraduate students, as well as teachers and practicing rheologists.
The Authors are the firm view that it is not possibleto acquire a through understanding of the subject without solving a large number of numerical problems.Moreover,the students should also learn to present the results in an orderly manner and attach proper units to the results.To achieve this goal,a large number of solved examples and unsolved problems(with Answer)have been included in each chapter.A summary of important formulae derived and used in different chapters is added in Appendix B to serve as a ready reference.Important formulae in trigonomerty,differential and integral calculus and values of important constants are also includes in the appendices.
This book Principles of Electrical, Electronics, and Instrumentation Engineering presents a comprehensive, intuitive, conceptual, and hand-on introduction with an emphasis on creative problem-solving. The book is an attempt that has been made to keep each topic very simple and self-explanatory.
Electronic Tubes|Semiconductor Devices|Diode Circuits|Amplifier Circuits|Oscillator Circuits|Thyristor Circuits|Ic And Operational Amplifiers|Logic Circuits And Number Systems|Electrical Instruments|Electronic Instruments|Transducers|Appendices(A) Obje
Algebra Unit 1 0. Historical Background .... i-xvi 1. Linear Dependence and Independence of Row and Column Matrices and Rank of Matrix .... 1-58 2. Characteristic Equation of a Matrix, Eigen Values and Eigen Vectors .... 59-86 Unit 2 3. Cayley-Hamilton Theorem .... 87-97 4. Application of Matrices to a System of Linear Equation .... 98-125 Vector Analysis Unit 3 5. Product of Four Vectors and Reciprocal Vectors .... 126-155 6. Vector Differentiation .... 156-174 7. Gradient, Divergence and Curl .... 175-237 Unit 4 8. Vector Integration .... 238-250 9. Theorem of Gauss, Theorem of Green and Stoke’s Theorem (Without Proof); and Problems Based on them .... 251-300 10. Application to Geometry .... 301-356 Geometry Unit 5 11. General Equation of Second Degree and Tracing of Conics .... 357-407 12. System of Conics .... 408-432 13. Cone .... 433-485 14. Cylinder and its Properties .... 486-504
This Book Covers Wide Range Of Topics In The Polymer Rheology. These Include -The Basic Principles, Parameters, Systems And Applied Mathematical Models Used In The Rheological Studies. The Melt Flow Analysis Of Different Non-Newtonian Fluids In Laminar Flow, Transition Between Laminar And Turbulent Flow And Modified Reynolds Etc. The Effects Of Different Physical And Molecular Parameters On Purely Viscous Rheological Response Of Polymer Melts And Solutions. Principles Of Rheometery And Different Types Viscometers And On-Line Rheometers. The Static And Dynamic Viscoelastic Response Of The Polymer Melts And Solutions, Linear Viscoelasticity. Mechanical Models And Boltzmann Superposition Principle. Molecular Structure - Viscoelasticity Relationship And Linear And Non-Linear Viscoelasticity. A Good Number Of Solved Examples And Exercise Problems.The Book Will Be Of Immense Help To Both Under Graduate And Post-Graduate Students, Teachers, Polymer Engineers And Practicing Rheologists. Content Highlights : - # Preface # Introduction # Rheological Principles # Melt Flow Analysis # Parameters Influencing The Polymer Rheology # Rheometry # Viscoelastic Behaviour # Viscoelastic Functions : Effect Of Various Parameters # Rheology In Polymer And Rubber Processing # References
Unit-I 0. Historical Background .... i-iii 1. Field Structure and Ordered Structure of R, Intervals, Bounded and unbounded sets, Supremum and infimum, Completeness in R, Absolute value of a real Number .... 1-33 2. Sequence of Real Numbers, Limit of a Sequence, Bounded and Monotonic Sequences, Cauchy’s General Principle of Convergence, Algebra of Sequence and Some Important Theorems .... 34-80 Unit-II 3. Series of non-negative terms, Convergence of positive term series .... 81-146 4. Alternating Series and Leibrintr’s test, Absolute and conditional convergence of Series of real Terms .... 147-163 5. Uniform Continuity .... 164-185 6. Chain Rule of Differentiability .... 186-202 7. Mean Value Theorems and Their Geometrical Interpretations .... 203-228 Unit-III 8. Limit and continuity of functions of two variables .... 229-256 9. Change of Variables .... 257-280 10. Euler’s Theorem on Homogeneous Functions .... 281-294 11. Taylor’s Theorem For functions of two Variables .... 295-307 12. Jacobians .... 308-337 13. Maxima and Minima of Functions of Two Variables .... 338-354 14. Lagrange’s Multipliers Method .... 355-367 15. Beta and Gamma Functions .... 368-395 Unit-IV 16. Partial Differential Equations of The first order .... 396-415 17. Lagrange’s Solution .... 416-440 18. Some Special types of equations which can be solved easily by methods other than the general method .... 441-462 19. Charpit’s General Method .... 463-474 20. Partial Differential Equation of Second and Higher Order .... 475-485 Unit-V 21. Classification of Partial Differential Equations of Second Order .... 486-494 22. Homogeneous and Non-homogeneous Partial Differential Equations of Constant coefficients .... 495-541 23. Partial Differential Equations Reducible to Equtions with Constant Coefficients .... 542-551
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