Recent Advances in Applied Mathematics and Applications to the Dynamics of Fluid Flows: 5th International Conference on Applications of Fluid Dynamics ... (Lecture Notes in Mechanical Engineering)

This book presents select proceedings of the 5th International Conference on Applications of Fluid Dynamics (ICAFD 2020) organized by the School of Mechanical Engineering Science, VIT-AP University, India, in association with the University of Johannesburg, Auckland Park Kingsway Campus, South Africa. It identifies the existing challenges in the area of applied mathematics and mechanics (of solids and fluids) and emphasizes the importance of establishing new methods and algorithms to address these challenges. The topics covered include diverse applications of fluid dynamics in aerospace dynamics and propulsion, atmospheric sciences, compressible flow, environmental fluid dynamics, control structures, viscoelasticity and mechanics of composites. Given the contents, the book will be a useful resource for researchers as well as practitioners working in the area of mechanical engineering and applied mathematics. Contents About the Editors Impacts of Variable Viscosity on Hydromagnetic Peristaltic Flow of a Bingham Fluid in a Vertical Channel 1 Introduction 2 Formulation of the Problem 3 Method of Solution 3.1 Zeroth-Order System (β0) 3.2 First-Order System (β1) 4 Results and Discussion 5 Conclusion References Mathematical Modeling for Non-linear Wave Interaction of Submerged Body Using Hybrid Element Method 1 Introduction 2 Mathematical Formulation 2.1 Model Geometry 2.2 High-Order Spectral Method (HOSM) 2.3 Boundary Element Method (BEM) 2.4 Solution of the Problem 2.5 Diffraction Force 3 Numerical Validation and Convergence Analysis 3.1 Numerical Validation 3.2 Convergence Analysis 4 Simulation Results 5 Conclusions References Effect of Activation Energy and Slip Velocity on Convective Heat and Mass Transfer of Chemically Reacting Fluids Under Convective Surface Condition 1 Introduction 2 Mathematical Model 3 Results and Discussion 4 Conclusions References Mixed Convective Flow of a Radiative Maxwell Liquid Past a Porous Riga Plate with Heat Consumption and Dual Stratifications 1 Introduction 2 Mathematical Formulation 3 HAM Solutions 4 Results and Discussions 5 Conclusions References Non-linear Convection with Time-Periodic Boundary Temperature Effect in Viscoelastic Ferromagnetic Fluids 1 Introduction 2 Mathematical Formulation 3 Steady State 4 Derivation of Model of Khayat–Lorenz 5 Transfer of Heat 6 Discussion of Result 7 Conclusion References Oscillatory Flow of Dusty Fluid Through a Narrowed Channel in the Presence of Magnetic Field 1 Introduction 2 Formulation of the Problem 3 Solution Method 4 Outcomes and Analysis 5 Conclusion References Influence of Radiation Absorption and Thermal Diffusion on Laminar Flow of a Chemically Reacting Fluid Past a Porous Plate in Conducting Field with Rotation 1 Introduction 2 Mathematical Formulation 2.1 Skin-Friction 2.2 Rate of Heat Transfer 2.3 Rate of Mass Transfer 3 Results and Discussion 4 Validation of the Results 5 Conclusions References Non-linear Magnetoconvection with Modulated Rotational Speed in Viscoelastic Liquid 1 Introduction 2 Governing Equations 3 Model of Khayat–Lorenz 4 Case of No Modulation and No Magnetic Field 5 Heat Transport 6 Discussion of Results 7 Conclusion References MHD Flow of Nanofluids over a Stretching Sheet with the Effect of Heat and Mass Transfer 1 Introduction 2 Mathematical Analysis 3 Results and Discussions 4 Concluding Remarks References Non-Darcian Combined Convection of Water Near Its Maximum Density in a Porous Lid-Driven Box with Linearly Heating 1 Introduction 2 Mathematical Modelling 3 Process of Solution 4 Results and Discussion 5 Conclusions References Influence of Tilting Angle and Heater Locations on MHD Mixed Convection in a Tilted Box 1 Introduction 2 Mathematical Formulation 3 Computational Procedure 4 Discussion and Results 5 Conclusions References Impact of Radiation on Flow of Copper-Water Nanofluid Squeezed Between Parallel Plates Filled with Darcy Porous Medium 1 Introduction 2 Formulation of the Problem 3 Differential Transformation Method 4 Results and Discussion 5 Conclusions References MHD Flow of Casson Nanofluid Over An Inclined Porous Stretching Surface 1 Introduction 2 Mathematical Formulation 3 Results and Discussion 4 Conclusion References Dispersion of Rayleigh Wave in a Shielded Anisotropic Generalized Thermoelastic Layer 1 Introduction 2 Formulation of the Problem 3 Boundary Conditions 4 Solution of the Problem 5 Numerical Results and Discussion 6 Conclusion References Nonlinear Equation for Wave Motion with Undulated Bottom 1 Introduction 2 Mathematical Formulation 3 Progressive Wave Solution 3.1 HAM for Wave-Current Interaction with Permeable Bottom 4 Wave Motion with Small Undulation Sinusoidal Bottom Topography 5 Conclusion References Numerical Study on Nanofluid Flow and Heat Transfer Over a Thin Moving Needle with Arrhenius Pre-Exponential Factor Law and Slip Effect 1 Introduction 2 Mathematical Formulation 3 Numerical Solution 4 Results and Discussion 5 Conclusion References Effect of Magnetic Field on Unsteady Flow of Dusty Fluid Due to Constant Pressure Gradient Through a Circular Cylinder: An Analytical Treatment 1 Introduction 2 Mathematical Description of the Problem 3 Exact Solution by Method of Separation of Variables 4 Results and Discussion 5 Conclusion References Convective Flow over a Vertical Cone Embedded in a Stratified Medium by Group Theoretical Method 1 Introduction 2 Mathematical Formulation 3 Solution of the Problem 3.1 The Invariance Investigation 3.2 The Total Arrangement of Total Invariants 3.3 The Reduction to ODE 4 Discussion of Results 5 Conclusions References Peristaltic Flow of Ferromagnetic Fluid in a Vertical Slot with Mixed Convection 1 Introduction 2 Mathematical Formulation 2.1 Method of Solution 3 Results and Discussion References Aligned Magnetic Field and Radiation Absorption Effects on Free Convection Chemically Reactive Flow Past An Inclined Surface 1 Introduction 2 Mathematical Fluid Layer with Interpretation of the Problem 3 Solution of the Problem 4 Results and Discussions 5 Validity of Results 6 Conclusions References Investigating the Risk of Airborne COVID-19 and the Importance of Social Restrictions in Regulating the Transmission 1 Introduction 2 Model Formulation 3 Mathematical Analysis 3.1 Boundedness of the System 3.2 Local Stability and Existence of Positive Equilibrium Points 4 Results and Discussion 5 Conclusions References A Numerical Algorithm Based on Tension Spline Scheme for Solving Singularly Perturbed Differential Difference Equations with Shifts 1 Introduction 2 Continuous Problem 3 Description of the Method 3.1 Piece-Wise Uniform Shishkin Mesh 3.2 Hybrid Scheme 4 Error Estimate 5 Numerical Results 6 Conclusions References Splines for Atmospheric Data 1 Introduction 2 Methodology 2.1 Linear Spline or Piece-wise Linear Regression 2.2 Polynomial Spline (or) Piece-Wise Polynomial Regression Model 2.3 Cubic Regression Model or Cubic Spline 3 Empirical Investigations 4 Summary and Conclusions References Dynamics of SEIR Model of Nipah Virus 1 Introduction 2 Mathematical Model 3 Equilibrium Analysis 4 Stability Analysis 5 Basic Reproduction Number 6 Numerical Analysis 7 Conclusion References Thermodynamic Analysis of Cross-Flow Heat Exchanger with Organic Blends As Substitute to Ionic Coolants 1 Introduction 2 Mathematical Modelling 3 Results and Discussions 4 Conclusions References Modified Image Processing Technique for Measurement of Intermittent Flow Characteristics 1 Introduction 2 Experimental Facility 3 Modified Image Processing Technique 4 Estimation and Validation of Intermittent Flow Characteristics 5 Conclusions References Modification of Surface Properties of AA7075 by Friction Stir Processing 1 Introduction 2 Experimental Procedure 3 Results and Discussions 3.1 Microstructure Studies 3.2 Hardness Studies 3.3 Pitting Corrosion Studies 3.4 Wear Studies 4 Conclusions References CFD Simulation of a Closed Turn Pulsating Heat Pipe with Hydrocarbon As a Working Fluid with Varying Fill Ratios for the Enhancement of Heat Transfer 1 Introduction 2 Governing Equations 3 Simulation of CFD 3.1 Methodology 3.2 Geometry and Meshing of PHP 3.3 Domain Settings 3.4 Boundary Conditions 3.5 Turbulence Model 4 Results and Discussions 5 Future Scope 6 Conclusions References Thermo-Hydraulic Performance Analysis of a Shell and Tube Heat Exchanger with Different Single Segmental Baffle Configurations 1 Introduction 2 Methodology 2.1 Modeling 2.2 Governing Equations 2.3 Meshing 2.4 Thermophysical Properties 2.5 Boundary Conditions 2.6 Numerical Analysis 3 Results and Discussion 3.1 Effect on Temperature 3.2 Effect on Velocity Contours 3.3 Effect on Pressure 4 Conclusions References Influence of Dry Sliding Wear Parameters on the Rate of Wear Al–Mg Matrix Composites Reinforced with Ternary Alloy Particulate 1 Introduction 2 Materials and Methods 3 Wear Test 4 Results and Discussions 4.1 Grey Relational Analysis (GRA) 4.2 Grey Relational Analysis (GRA) for Rate of Wear (RoW) 4.3 ANOVA 4.4 Microstructural Results 4.5 SEM Observation of Worn-out Specimens 5 Conclusions References POD—ANN Reduced Order Macromodel of Nonlinear Autonomous Dissipative System Using Machine Learning 1 Introduction 2 Nonlinear Autonomous Dynamical System 2.1 Fluid Flow Model Using 1-D Burgers' Equation 3 Linearizing Method 4 Model Order Reduction of Nonlinear Autonomous Dynamic System 4.1 Approximation Using POD 5 Macro Model Using Machine Learning 6 Accuracy and Performance Index 7 Methodology 8 Numerical Results 9 Conclusion References Stability Analysis of Salt Fingers for Different Non-uniform Temperature Profiles in a Micropolar Liquid 1 Introduction 2 Mathematical Formulation 3 Basic State 4 Linear Stability Analysis 5 Results and Discussion 5.1 Effects of Non-uniform Temperature Gradient Profiles 5.2 Phase of Temperature Flow 6 Conclusion References Hydrodynamic Analysis of Submarine Profiles for Drag Reduction 1 Introduction 2 Methods 3 Optimization Technique 4 Results and Discussion 5 Conclusion References