ISBN: 978-1-83926-445-0
Year: 2022
Binding: HB
Price: US $ 265.00
Mathematical modelling is the art of translating problems from an application area into tractable mathematical formulations whose theoretical and numerical analysis provides insight, answers, and guidance useful for the originating application. Mathematical modelling is indispensable in many applications, gives precision and direction for problem solution, enables a thorough understanding of the system modelled, prepares the way for better design or control of a system and allows the efficient use of modern computing capabilities. Mathematical models are used in the natural and engineering disciplines, as well as in the social sciences. Physicists, engineers, statisticians, operations research analysts, and economists use mathematical models most extensively. This book provides comprehensive insights into the field of mathematical modelling. It traces the evolution of this field and talks in detail about its importance in the present day scenario. It deals with mass transfer, numerical simulation, fluid approach, mathematical modelling of dynamics, air drying and mathematical modelling of gene. Different approaches, evaluations and methodologies and advanced studies on this subject have been included in the book. As this field is emerging at a rapid pace, the contents of this book will help the readers understand the modern concepts and applications of the subject. It aims to serve as a resource guide for students and facilitate to the study of the discipline.
Preface............................................................................................................v
Chapter 1 Mathematical Modelling and Numerical Investigations on the Coanda Effect...............................................................................................1
1. Introduction............................................................................................1
2. Similar solution for a Coanda flow .................................................2
3. Control of the two-dimensional turbulent wall jet on a Coanda
surface ..................................................................................................13
4. Numerical analyis of turbulent flow in a Coanda ejector..........19
5. The pitchfork bifurcation flow in a symmetric 2D channel
with contraction .................................................................................23
6. Conclusion ...........................................................................................32
Chapter 2 Mathematical Modelling of Gene Regulatory Networks...............37
1. Introduction..........................................................................................37
2. Genes and genome ............................................................................39
3. Gene regulatory networks ..............................................................42
4. Mathematical modelling of gene regulatory network ...............44
5. Conclusion............................................................................................56
6. Future direction section ....................................................................56
7. Acknowledgment ...............................................................................56
Chapter 3 Lymphatic Filariasis Transmission and Control: A Mathematical Modelling Approach................................................................................63
1. Introduction .......................................................................................63
2. Mathematical model with no time delay in infection period....65
3. Mathematical model with delay time in infection period ........73
4. Conclusion ...........................................................................................80
5. Acknowledgment ...............................................................................80
6. Appendices .........................................................................................81
Chapter 4 Mathematical Modelling of Dynamics of Boiler Surfaces Heated
Convectively...............................................................................................84
1. Introduction..........................................................................................84
2. Description of the proposed model ...............................................85
3. Computational verification ..............................................................95
4. Experimental verification.................................................................101
5. Conclusions .......................................................................................107
Chapter 5 Mathematical Modelling of Air Drying by Adiabatic
Adsorption................................................................................................110
1. Introduction........................................................................................110
2. Mathematical model.........................................................................113
3. Results ................................................................................................120
4. Conclusion..........................................................................................125
5. Nomenclature.....................................................................................126
Chapter 6 Mathematical Modelling of the Motion of Dust-Laden Gases in
the Freeboard of CFB Using the Two-Fluid Approach.................129
1. Introduction........................................................................................129
2. Theoretical terms of the model .....................................................133
3. Results and discussions...................................................................137
4. Comparison of the results...............................................................144
5. Conclusions........................................................................................144
6. Acknowledgements .........................................................................145
Chapter 7 Mathematical Modelling and Numerical Simulation of the
Dynamic Behaviour of Thermal and Hydro Power Plants..........148
1. Introduction ......................................................................................148
2. The mathematical modelling of the primary installations of a
thermal power plant .......................................................................149
3. The mathematical modelling of the primary installations of a
hydro power plant ..........................................................................158
4. Conclusions........................................................................................176
Chapter 8 Some Problems Related to Mathematical Modelling of Mass Transfer
Exemplified of Convection Drying of Biological Materials.........179
1. Introduction ......................................................................................179
2. Differential transport equations for drying.................................180
3. Discussion of some results of modelling convection drying of
parsley root slices ............................................................................193
4. Conclusions........................................................................................201
5. Nomenclature ...................................................................................202
Citation......................................................................................................211
Index...........................................................................................................213
