Modelling of Convective Heat and Mass Transfer in Nanofluids with and without Boiling and Condensation (Mathematical Engineering)

This book presents step-by-step description of the use of Lie group analysis to find symmetry forms and similarity solutions for single- and two-phase laminar and turbulent flows of nanofluids. It outlines novel and unique analytical solutions validated via comparisons with experimental data. The main part of the book is devoted to analytical modeling of film condensation of still and moving vapor with nanoparticles, stable film boiling of nanofluids, instantaneous unsteady boiling and condensation of nano- and ordinary fluids and clarification and quantification of instability conditions in the vapor layer, as well as centrifugal and Dean instability in nanofluids. It was demonstrated that such complex phenomena can be successfully simulated using the proposed approaches validated via reliable experiments. The book is intended for scientists, engineers, graduate and undergraduate students specializing in the area of engineering thermodynamics, heat and mass transfer and energy systems. Preface Contents Nomenclature Subscripts Mathematical Symbols Acronyms 1 Physical Foundations and Mathematical Models of Transport Processes in Nanofluids 1.1 Heat Transfer Enhancement Due to Nanofluids 1.2 Thermophysical Properties of Nanofluids 1.3 Thermophoresis and Brownian Diffusion 1.4 Mathematical Model of Nanofluid Flow References 2 Analytical Methods 2.1 Fundamentals of the Lie Group Theory 2.2 Perturbation Method References 3 Symmetry Analysis of Boundary Layer Flows (Parabolic Flows) of Nanofluids 3.1 Introduction 3.2 Symmetry, Self-similar Forms of Equations and Examples 3.3 Laminar Boundary Layer Over a Flat Plate 3.4 Turbulent Boundary Layer Over a Flat Plate 3.5 Orthogonal Nanofluid Impingement onto a Flat Surface References 4 Analytical Modeling of Film Condensation of Vapor with Nanoparticles 4.1 Introduction 4.2 Mathematical Model 4.3 Stationary Vapor 4.4 Moving Vapor References 5 Analytical Modeling and Symmetry Analysis of Stable Film Boiling in Nanofluids 5.1 Introduction 5.2 Mathematical Model 5.3 Analytical Solution 5.4 Symmetry Analysis and Self-similar Forms References 6 Instantaneous Transition to Film Boiling in Ordinary Fluids and Nanofluids on a Vertical Surface 6.1 Introduction 6.2 Mathematical Model 6.3 Unsteady Convective Heat Transfer in Ordinary Fluids at Instantaneous Transition to Film Boiling 6.4 Unsteady Convective Heat Transfer in Nanofluids at Instantaneous Transition to Film Boiling 6.5 Experimental Validation References 7 Instability of a Vapor Layer on a Vertical Surface at Presence of Nanoparticles 7.1 Introduction 7.2 Instability Analysis 7.3 Experimental Validation References 8 Centrifugal Instability in Flows of Nanofluids 8.1 Introduction 8.2 Mathematical Model of the Dean and Taylor–Couette Flows 8.3 Dean Flow 8.4 Taylor–Couette Flow References 9 Summary