Ratio of Momentum Diffusivity to Thermal Diffusivity
Introduction, Meta-analysis, and Scrutinization
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This book presents a systematic introduction, practical meaning, and measurement of thermo-physical properties (i.e. viscosity, density, thermal conductivity, specific heat capacity, and thermal diffusivity) associated with the Prandtl number. The method of slope linear regression through the data points is presented in this textbook as a methodology for a deeper and insightful scrutinization. The book serves as a reference book for scientific investigators, Teachers of Fluid Mechanics, Experts on Heat and Mass Transfer, Researchers on Boundary layer flows, Mechanical and Chemical Engineers, Physicists, and Postgraduate Students working on transport phenomena who need theoretical and empirical reviews on the impact of increasing the ratio of momentum diffusivity to thermal diffusivity.
- A systematic overview of the state-of-the-art in statistical methodology for understanding changes between dependent and independent variables.
- Pointers to some theoretical and empirical reviews on Prandtl number.
- Presents in-depth analysis of various self-similar flows, emphasizing stretching induced flows, nanofluid dynamics, suction, injection, free convection, mixed convection, and forced convection.
- Insightful study on thermal radiation, heat sour, heat sink, energy flux due to concentration gradient, mass flux due to temperature gradient, thermo-capillary convection flow, Joule heating, viscous dissipation, thermal stratification, thermophoresis, and Brownian motion of particles.
Table of Contents
1. Dimensionless numbers, Thermo-Physical Properties of Fluids, and Slope Linear Regression through the data points. 2. Conceptual and Empirical Reviews I. 3. Conceptual and Empirical Reviews II. 4. Empirical Reviews and Meta-analysis. 5. Analysis of Self-Similar Flows I. 6. Analysis of Some Self-Similar Flows II. 7. Analysis of Self-Similar Flows III. 8. Analysis of Self-Similar Flows IV. 9. Analysis of Self-Similar Flows V. 10. Analysis of Self-Similar Flows VI. 11. Analysis of Self-Similar Flows VII. 12. Conclusion and Recommendation. References. Appendix I. Appendix II. Appendix III. Appendix IV. Appendix V. Appendix VI
Isaac Lare Animasaun is a Lecturer in the Department of Mathematical Sciences, The Federal University of Technology, Akure, Nigeria. His research interests are Mathematical Modeling, Boundary Layer Analysis, and Heat & Mass Transfer, Dynamics of Newtonian and Non-Newtonian fluid, fluid flow through porous or non-porous media, Approximate and analytical solutions of Differential Equations, and educational research (survey research). He has published more than Ninety (100) articles through international and local refereed journals. The Statistics show that he has seventy-four (101) published papers indexed in Scopus (33 h-index) and forty-three (43) indexed in Web of Science (20 h-index). A few among the Journals he has served as a Reviewer and number of reviews are the Arabian Journal for Science and Engineering, Springer (125), Neural Computing and Applications, Springer (61), Heat Transfer – Asian Research, Wiley (41), and Journal of Thermal Analysis ad Calorimetry, Springer (14). He won the 2019 Outstanding Reviewer Awards from Physica Scripta, IOP Publishing, and Four awards from Publon to his credit. He was awarded the renowned Professor Aderemi Kuku Young Scientist Prize in Mathematical Sciences by the Nigerian Young Academy in 2020. (NYA).
Dr. Nehad Ali Shah is an Assistant Professor in the Department of Mathematics, Lahore Leads University. His research interest is Fluid Dynamics (i.e. Newtonian and non-Newtonian fluids, Heat and Mass transfer, Viscoelastic models with memory, Fractional thermoelasticity). His Research expertise was attracted by Ton Duc Thang University, Ho Chi Minh City, Vietnam, and led to his role as a part-time researcher in their Faculty of Mathematics & Statistics. He is the recipient of the Pre-PhD Quality Research Award from Abdus Salam School of Mathematical Sciences, GC University Lahore, Pakistan, in the year 2018. He was also a recipient of a research invitation by Prof. Haitao Qi, Vice Dean of School of Mathematics and Statistics, Shangdong University of Weihai China, and Prof. Shaowei Wang, Dean of Department of Engineering Mechanics, School of Civil Engineering, Shandong University, Jinan, P. R. China. He has more than 70 published research papers in different high reputed journals. He has served as a Reviewer of many manuscripts submitted to more than 20 international journals.
Dr. Wakif is a Lecturer in the Laboratory of Mechanics, Faculty of Sciences Aïn Chock, University Hassan II - Casablanca, B. P. 5366, Mâarif, Casablanca, Morocco. His research interests are peristaltic blood flow, nanofluids, boundary layer flows, natural, forced, mixed convection MHD/EHD flow in nanofluids, heat and mass transfer in mixtures, numerical, analytical and semi-analytical methods, linear and nonlinear stability analysis. Dr. Wakif is a board member of the International Journal of Applied and Computational Mathematics, Journal of Computational Applied Mechanics, Mathematical Methods in the Applied Sciences, Progress in Computational Fluid Dynamics, and Thermal Science. Some of the journals that have benefited from his review skills and the number of the completed assignment are Journal of Thermal Analysis and Calorimetry (39), Physica A: Statistical Mechanics and Its Applications (19), Scientia Iranica (9), International Journal of Applied and Computational Mathematics (8), International Communications in Heat and Mass Transfer (5), Journal of the Brazilian Society of Mechanical Sciences and Engineering (5), and Physica Scripta (5). Seventeen (17) of his publications were published through various journals indexed in Web of Science. He won the Top Reviewer Awards in Physics and Cross-Field by Publon Academy in the year 2019.
Dr. B Mahanthesh is currently an Associate Professor at the Center for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Bangalore-560029, India. His research covers various topics, including fluid mechanics, nanofluid dynamics, optimization techniques, response surface methodology, and sensitivity analysis. He is a member of the editorial board of renowned academic journals. He is an active reviewer for many renowned journals. He has edited a book entitled Mathematical Fluid Mechanics, has four book chapters and has published over 150 research articles in many renowned international journals. His scientific metrics according to (https://bit.ly/2Eod25I) Google Scholar show H-Index = 42, Citations Index = 4150, i10-index = 96. He has organized several conferences and delivered key research papers in various countries and international conferences.
Dr. R. Sivaraj is working as a Senior Assistant Professor in the Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, India. His area of research is in Fluid Dynamics, and he works on non-Newtonian fluids, MHD, heat transfer, and porous media. He has published 34 research papers in highly reputed International Journals. Under his guidance, two scholars received a Ph.D. degree, and presently four scholars are working. He received the VIT Research Award continuously for the years 2012-2018 and a travel grant from the Royal Society of London and CSIR, India. He worked at Guangdong University of Technology, Guangzhou, China, under the Faculty Exchange Programme. He visited the National Defense University of Malaysia, Kuala Lumpur, Malaysia, as a Visiting Scientist. He delivered lectures on fluid dynamics applications at the University of the West Indies, St. Augustine, Trinidad, West Indies. He delivered an invited lecture in international conferences and seminars organized by the University of Botswana, the National University of Singapore, and Universiti Putra Malaysia. He attended over 20 National and International conferences in India and abroad. He was invited to deliver lectures in several conferences, workshops, seminars, and guest lectures, and he has organized several international conferences, seminars, workshops to promote the research activities. He served as a reviewer for 39 scientific journals. He served as one of the editors for the book Applied Mathematics and Scientific Computing published by Springer book series Trends in Mathematics, Advances in Fluid Dynamics published by Springer book series Lecture Notes in Mechanical Engineering and the proceedings Recent Trends in Pure and Applied Mathematics published by AIP Conference Proceedings. He is the Joint Secretary of Academia for Advanced Research in Mathematics Society.
Olubode Kolade Koriko is a Professor in the Department of Mathematical Sciences, The Federal University of Technology, Akure, Nigeria. His research interests fall within the scope of mathematical modelling, boundary layer analysis, heat and mass transfer, dynamics of Newtonian and non-Newtonian fluid, flow through porous or non-porous media, and Differential Equations. He is a member of the Society for Industrial and Applied Mathematics, Nigeria Association of Mathematical Physics, and Nigeria Mathematical Society. Also, he has served various journals as a Reviewer. He had served as an External Examiner of more than five (5) Ph.D. students. More so, he has produced two Ph.D. Students. The Statistics show that he has many published papers indexed in Scopus and Web of Science. He was among the recipients of the Commonwealth Scholarship and Fulbright Junior Research Fellowship.