Gain a decisive competitive edge in the global push for sustainability by mastering the mathematical modeling and computational simulation of non-Newtonian fluids, bridging the gap between complex rheological theory and high-efficiency industrial applications in oil, food, and biomedical engineering.
Table of ContentsContributing Author List
Aim & Scope
Preface
Acknowledgement
1. Introduction to Non-Newtonian FluidsD. D. Ganji
1.1 Overview
1.1.1 Definition
1.1.2 Importance of the Non-Newtonian Fluids
1.1.3 Governing Equations for the Newtonian Fluids
1.1.3.1 Vectorial Governing Equations for Newtonian Fluids
1.1.4 Governing Equations for the Non-Newtonian Fluids
1.1.4.1 Vectorial Governing Equations for Non-Newtonian Fluids
1.1.5 Recent Advances in Non-Newtonian Fluids
1.1.6 Summary
References
2. Viscoelastic Fluid ModelsMukesh Kumar Awasthi, Atul Kumar Shukla and Dhananjay Yadav
2.1 Fluids
2.1.1 Molecular Perspective
2.1.2 Newtonian Fluids
2.1.3 Non-Newtonian Fluids
2.2 Viscoelastic Fluids
2.2.1 Differences between Newtonian, Non-Newtonian, and Viscoelastic Fluids
2.2.2 Real-World Examples and Applications
2.3 Viscoelastic Fluid Models
2.3.1 Rivlin–Ericksen Fluids
2.3.2 Reiner–Rivlin Fluids
2.3.3 Maxwell Fluids
2.3.4 Oldroyd Fluids
2.3.5 Power Law Fluids
2.3.6 Bingham Plastic Fluids
2.3.7 Ellis Fluids
2.3.8 Reiner–Philippoff Fluids
2.3.9 Prandtl Fluids
2.3.10 Eyring Fluids
2.3.11 Power–Eyring Fluids
2.3.12 Williamson Fluids
2.3.13 Walters’ B Fluids
2.4 Applications of Viscoelastic Fluids in Industry and Nature
2.4.1 Biomedical Engineering: Blood Flow and Circulatory Dynamics
2.4.2 Biomedical Innovations: Targeted Drug Delivery
2.4.3 Polymer Processing: Manufacturing and Material Design
2.4.4 Food Industry: Texture and Stability
2.4.5 Geophysical Flows: Lava, Glaciers, and Mudslides
2.4.6 Environmental Engineering: Oil Spills and Sediment Transport
2.4.7 Energy and Industrial Fluids: Hydraulic Fracturing and Drilling
2.4.8 Ecological Adaptations: Biological Fluids and Mucus
2.5 Recent Advances and Emerging Trends in Viscoelastic Fluid Flow
2.5.1 Machine Learning in Viscoelastic Flow Modeling
2.5.2 Data-Driven Constitutive Model Discovery
2.5.3 Multiscale Modeling: Bridging Molecular and Continuum Scales
2.5.4 Hybrid Approaches for Complex Flow Regimes
2.5.5 Cutting-Edge Experimental Techniques for Validation
2.5.6 Machine Vision and Real-Time Feedback Loops
2.5.7 Interdisciplinary Fusion and Future Directions
2.5.8 Sustainability and Industry 4.0 Applications
2.6 Conclusion
References
3. Computational Fluid Dynamics (CFD) for Non-Newtonian FluidsK. Jyothi, Yeddula Rameswara Reddy, Ramachandra Reddy Vaddemani, Raghunath Kodi and Dhananjay Yadav
3.1 Introduction
3.2 Mathematical Formulation of the Problem
3.3 Numerical Method of Solution
3.3.1 The Finite-Element Method
3.3.2 Variational Formulation
3.3.3 Finite-Element Formulation
3.4 Results and Discussions
3.5 Table Discussions
3.6 Conclusions
References
Nomenclature
4. Exploring Heat and Mass Diffusion in Non-Newtonian Fluid Flow over a Stretching Surface in a Non-Darcy Variable Porous Medium: An Analysis by Finite Difference SchemeSahin Ahmed, Bikash Das and Anil Nangkar
4.1 Introduction
4.1.1 Research Questions
4.2 Mathematical Formulation
4.3 Research Methodology
4.4 Stability and Validation
4.5 Results and Discussion
4.6 Conclusions
Nomenclature
References
5. Exploring Non-Newtonian Fluid Dynamics in Porous Media: A CNT-Water Diven Analytical Approach in Vertical ChannelsSahin Ahmed, Nava Jyoti Hazarika, Eny Tayang and Dhananjay Yadav
Nomenclature
5.1 Introduction
5.2 Mathematical Formulation
5.3 Validity and Accuracy
5.4 Results and Discussion
5.5 Conclusion
Bibliography
6. Non-Newtonian Fluid Flow in Porous MediaYeddula Rameswara Reddy, Damodara Reddy Annapureddy, K. Jyothi, Raghunath Kodi, Dhananjay Yadav and Ramachandra Reddy Vaddemani
6.1 Introduction
6.2 Problem Formulation
6.3 Physical Quantities
6.4 Code Validation
6.5 Result and Discussion
6.6 Conclusion
References
7. Effect of Couple Stresses on Thermal Convection of Navier–Stokes–Voigt Fluid in Porous MediaSunil, Sweta Sharma, Deepak Kumar and Poonam Sharma
7.1 Introduction
7.2 Geometrical Configuration and Mathematical Formulation
7.2.1 Governing Equations
7.2.2 Basic State and Perturbation Equations
7.2.3 Dimensionless Perturbation Equations
7.2.4 Boundary Conditions
7.3 Nonlinear Analysis
7.3.1 Conditional Energy Stability
7.3.2 Variational Principle
7.4 Linear Analysis
7.4.1 Principle of Exchange of Stabilities
7.5 Solution Methodology
7.6 Results and Discussion
7.7 Conclusions
7.8 Applications
References
8. Convective Heat Transfer and Subcritical Dynamics in Rotating Ferrofluids with Couple Stresses in Porous Media Under Non-Equilibrium ConditionsSunil, Akanksha Thakur and Reeta Devi
8.1 Introduction
8.2 Formulation of the Problem
8.2.1 Geometrical Configuration and Governing Equations
8.2.2 Basic State
8.2.3 Nondimensionalized Perturbation Equations
8.3 Nonlinear Analysis
8.3.1 Generalized Energy Functional
8.4 Variational Principle
8.5 Method of Solution
8.5.1 Free–Free Boundaries
8.5.2 Rigid–Rigid Boundaries
8.6 Results and Discussion
8.6.1 Effect of Couple Stresses
8.6.2 Effect of Magnetization
8.6.3 Effect of Medium Permeability
8.6.4 Effect of Rotation
8.6.5 Effect of Porosity–Modified Conductivity Ratio
8.6.6 Effect of Heat Transfer Coefficient
8.7 Conclusions
8.8 Applications
References
9. Non-Newtonian Casson Fluid through a Porous Rotating Channel with Seepage FlowAbdul Faiz Ansari, Sameera Iqram, Vinod Y., Mohd. Asif and Piyush Jaiswal
9.1 Introduction
9.2 Problem Formulation
9.3 Solution of Problem
9.4 Results and Discussion
9.5 Conclusion
References
10. Stationary Thermosolutal Convection of a Rotating Walters’ (Model B’) Nanofluid in a Porous Medium Under Rigid–Rigid and Rigid–Free Boundary ConditionsPushap Lata Sharma, Praveen Lata, Ajit Kumar, G.C. Rana and Dhananjay Yadav
10.1 Introduction
10.2 Mathematical Model
10.2.1 Governing Equations
10.2.2 Basic State Solutions
10.2.3 Perturbation Solutions
10.2.4 Normal Mode Analysis
10.3 Linear Stability Analysis
10.3.1 For Rigid–Rigid Boundaries
10.3.1.1 Stationary Convection
10.3.2 For Rigid–Free Boundaries
10.3.2.1 Stationary Convection
10.4 Result and Discussion
10.5 Conclusion
References
11. Study of Two-Phase Flow Characteristics Due to Stretching SheetAswin Kumar Rauta
Nomenclature
11.1 Introduction
11.2 Modeling of the Problem
11.3 Flow Analysis and Coordinate System
11.4 Solution Method
11.5 Discussion
11.6 Conclusions
References
12. Thermophoresis and Brownian Movement Impact on Maxwell Fluid Flow Over Permeable Stretching Sheet with Variable Magnetic FieldS.M. Sachhin, G. M. Sachin, K. R. Harshitha, U.S. Mahabaleshwar and M. K. Awasthi
12.1 Introduction
12.2 Mathematical Analysis
12.3 Numerical Method and Solution
12.4 Results and Discussion
12.5 Conclusion
References
13. Arrhenius Activation Energy and Viscosity Ratio Impact on Casson Fluid Flow Across Porous Stretching Surface with Variable Magnetic FieldS.M. Sachhin, G. M. Sachin, U.S. Mahabaleshwar and M. K. Awasthi
13.1 Introduction
13.2 Mathematical Analysis
13.3 Numerical Method and Solution
13.4 Results and Discussion
13.5 Conclusion
References
14. Computational Fluid Dynamics Examination of Non‑Newtonian Fluid Flows over an Exponentially Extending Surface with Thermal Source/SinkPriyanka Chandra and Raja Das
14.1 Introduction
14.2 Mathematical Formulation
14.3 Computational Fluid Dynamic Tools: FEM
14.3.1 Variational Formulation
14.3.2 Finite-Element Formulation
14.4 Results Analysis
14.5 Conclusion
Acknowledgement
References
15. Non-Newtonian Fluids in Environmental EngineeringAbdulhalim Musa Abubakar, Suleiman A. Wali, Abubakar Mohammed and Vivek Kumar Pandey
15.1 Introduction
15.2 Characteristics of Non-Newtonian Fluids
15.3 Modeling Non-Newtonian Fluids
15.4 Case Studies
15.4.1 Sediment Transport in Rivers and Estuaries
15.4.2 Impact of Non-Newtonian Behavior on Deposition and Erosion
15.4.3 Biofilm Development in Wastewater Treatment
15.4.4 Implications for Nutrient and Pollutant Removal
15.5 CFD Simulation Techniques
15.6 Challenges in Measurement and Modeling
15.6.1 Difficulties in Assessing Non-Newtonian Properties
15.6.2 Environmental Factors Affecting Fluid Behavior
15.7 Applications in Environmental Engineering
15.8 Conclusion
References
16. Non-Newtonian Fluid Dynamics in Additive Manufacturing and 3D PrintingGandhimathi G., Chellaswamy C., Geetha T. S. and Awad M. M.
16.1 Introduction to Non-Newtonian Fluids in Additive Manufacturing
16.1.1 Overview of Additive Manufacturing and 3D Printing Technologies
16.1.2 Importance of Non-Newtonian Fluid Behavior in 3D Printing
16.1.3 Comparison of Newtonian vs. NNF in Printing Applications
16.2 Rheology and Material Behavior in 3D Printing
16.2.1 Shear-Thinning and Shear-Thickening Effects in Printing Fluids
16.2.2 Viscoelasticity and Its Impact on Printability
16.2.3 Yield Stress Behavior in Paste-Like Printing Materials
16.2.4 Thixotropy and Structural Recovery During Deposition
16.2.5 Types of Non-Newtonian Materials in Additive Manufacturing
16.3 Deposition Techniques for Non-Newtonian Fluids
16.3.1 Flow Behavior and Nozzle Design Considerations
16.3.2 Resin Viscosity and Curing Dynamics
16.3.3 Droplet Formation and Spreading for High-Precision Deposition
16.3.4 Interaction of Binders and Powder Flowability
16.4 Computational Modeling and Simulation
16.4.1 Governing Equations for Non-Newtonian Fluid Flow in 3D Printing
16.4.2 Momentum Equation (Navier–Stokes for NNF)
16.4.3 Temperature Distribution in Thermoresponsive Nanofluid
16.4.4 Case Study 1
16.4.5 Case Study: 2
16.5 Conclusion and Future Scope
References
About the Editors
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