Applied Dimensional Analysis and Modeling provides the full mathematical background and step-by-step procedures for employing dimensional analyses, along with a wide range of applications to problems in engineering and applied science, such as fluid dynamics, heat flow, electromagnetics, astronomy and economics. This new edition offers additional worked-out examples in mechanics, physics, geometry, hydrodynamics, and biometry.
1. Cover image 2. Title page 3. Table of Contents 4. Copyright 5. Dedication 6. About the Author 7. LIST OF TITLED EXAMPLES AND PROBLEMS 8. FOREWORD TO THE FIRST EDITION 9. FOREWORD TO THE SECOND EDITION 10. ACKNOWLEDGMENTS 11. PREFACE TO THE FIRST EDITION 12. PREFACE TO THE SECOND EDITION 13. ORGANIZATION, NOTATION, AND CONVENTIONS 14. Chapter 1: MATHEMATICAL PRELIMINARIES 15. Chapter 2: FORMATS AND CLASSIFICATION 16. Chapter 3: DIMENSIONAL SYSTEMS 17. Chapter 4: TRANSFORMATION OF DIMENSIONS 18. Chapter 5: ARITHMETIC OF DIMENSIONS 19. Chapter 6: DIMENSIONAL HOMOGENEITY 20. Chapter 7: STRUCTURE OF PHYSICAL RELATIONS 21. Chapter 8: SYSTEMATIC DETERMINATION OF COMPLETE SET OF PRODUCTS OF VARIABLES 22. Chapter 9: TRANSFORMATIONS 23. Chapter 10: NUMBER OF SETS OF DIMENSIONLESS PRODUCTS OF VARIABLES 24. Chapter 11: RELEVANCY OF VARIABLES 25. Chapter 12: ECONOMY OF GRAPHICAL PRESENTATION 26. Chapter 13: FORMS OF DIMENSIONLESS RELATIONS 27. Chapter 14: SEQUENCE OF VARIABLES IN THE DIMENSIONAL SET 28. Chapter 15: ALTERNATE DIMENSIONS 29. Chapter 16: METHODS OF REDUCING THE NUMBER OF DIMENSIONLESS VARIABLES 30. Chapter 17: DIMENSIONAL MODELING 31. Chapter 18: FIFTY-TWO ADDITIONAL APPLICATIONS 32. References 33. REFERENCES IN NUMERICAL ORDER 34. REFERENCES IN ALPHABETICAL ORDER OF AUTHORS’ SURNAMES 35. Appendices 36. APPENDIX 1: RECOMMENDED NAMES AND SYMBOLS FOR SOME PHYSICAL QUANTITIES 37. APPENDIX 2: SOME MORE-IMPORTANT PHYSICAL CONSTANTS 38. APPENDIX 3: SOME OF THE MORE-IMPORTANT NAMED DIMENSIONLESS VARIABLES 39. APPENDIX 4: NOTES ATTACHED TO FIGURES 40. APPENDIX 5: ACRONYMS 41. APPENDIX 6: SOLUTIONS TO PROBLEMS 42. APPENDIX 7: PROOFS FOR SELECTED THEOREMS AND EQUATIONS 43. APPENDIX 8: BLANK MODELING DATA TABLE 44. Indices 45. SUBJECT INDEX 46. SURNAME INDEX
Applied Dimensional Analysis and Modeling provides the full mathematical background and step-by-step procedures for employing dimensional analyses, along with a wide range of applications to problems in engineering and applied science, such as fluid dynamics, heat flow, electromagnetics, astronomy and economics. This new edition offers additional worked-out examples in mechanics, physics, geometry, hydrodynamics, and biometry.
1. Cover image 2. Title page 3. Table of Contents 4. Copyright 5. Dedication 6. About the Author 7. LIST OF TITLED EXAMPLES AND PROBLEMS 8. FOREWORD TO THE FIRST EDITION 9. FOREWORD TO THE SECOND EDITION 10. ACKNOWLEDGMENTS 11. PREFACE TO THE FIRST EDITION 12. PREFACE TO THE SECOND EDITION 13. ORGANIZATION, NOTATION, AND CONVENTIONS 14. Chapter 1: MATHEMATICAL PRELIMINARIES 15. Chapter 2: FORMATS AND CLASSIFICATION 16. Chapter 3: DIMENSIONAL SYSTEMS 17. Chapter 4: TRANSFORMATION OF DIMENSIONS 18. Chapter 5: ARITHMETIC OF DIMENSIONS 19. Chapter 6: DIMENSIONAL HOMOGENEITY 20. Chapter 7: STRUCTURE OF PHYSICAL RELATIONS 21. Chapter 8: SYSTEMATIC DETERMINATION OF COMPLETE SET OF PRODUCTS OF VARIABLES 22. Chapter 9: TRANSFORMATIONS 23. Chapter 10: NUMBER OF SETS OF DIMENSIONLESS PRODUCTS OF VARIABLES 24. Chapter 11: RELEVANCY OF VARIABLES 25. Chapter 12: ECONOMY OF GRAPHICAL PRESENTATION 26. Chapter 13: FORMS OF DIMENSIONLESS RELATIONS 27. Chapter 14: SEQUENCE OF VARIABLES IN THE DIMENSIONAL SET 28. Chapter 15: ALTERNATE DIMENSIONS 29. Chapter 16: METHODS OF REDUCING THE NUMBER OF DIMENSIONLESS VARIABLES 30. Chapter 17: DIMENSIONAL MODELING 31. Chapter 18: FIFTY-TWO ADDITIONAL APPLICATIONS 32. References 33. REFERENCES IN NUMERICAL ORDER 34. REFERENCES IN ALPHABETICAL ORDER OF AUTHORS’ SURNAMES 35. Appendices 36. APPENDIX 1: RECOMMENDED NAMES AND SYMBOLS FOR SOME PHYSICAL QUANTITIES 37. APPENDIX 2: SOME MORE-IMPORTANT PHYSICAL CONSTANTS 38. APPENDIX 3: SOME OF THE MORE-IMPORTANT NAMED DIMENSIONLESS VARIABLES 39. APPENDIX 4: NOTES ATTACHED TO FIGURES 40. APPENDIX 5: ACRONYMS 41. APPENDIX 6: SOLUTIONS TO PROBLEMS 42. APPENDIX 7: PROOFS FOR SELECTED THEOREMS AND EQUATIONS 43. APPENDIX 8: BLANK MODELING DATA TABLE 44. Indices 45. SUBJECT INDEX 46. SURNAME INDEX
