Description
Gain a decisive competitive edge in the global push for sustainability by mastering the mathematical modeling and computational simulation of non-Newtonian fluids. This book bridges complex rheological theory with high-efficiency industrial applications across oil and gas, food processing, and biomedical engineering, equipping readers to optimize performance, reduce waste, and improve energy efficiency through advanced modeling and simulation.
In an industrial landscape increasingly defined by sustainability and energy efficiency, accurately simulating non-Newtonian fluid behavior has become a critical advantage. From biomedical precision to the massive scales of oil, gas, and food manufacturing, fluids that defy traditional Newtonian laws demand specialized approaches. This book focuses on mathematical modeling, computational techniques, and real-world industrial applications of non-Newtonian fluids, with in-depth coverage of flow behavior, heat transfer, and mechanical properties. Emphasis is placed on practical modeling and simulation, particularly in polymer processing, food production, and oil drilling. Bridging foundational rheological theory with advanced computational practice, the volume explores shear-thinning, shear-thickening, and viscoelastic behaviors, offering a comprehensive roadmap for navigating complex non-Newtonian dynamics in industrial settings.
Table of Contents
Contributing Author List xiii
Aim & Scope xvii
Preface xix
Acknowledgement xxi
1 Introduction to Non-Newtonian Fluids 1
D. D. Ganji
1.1 Overview 2
2 Viscoelastic Fluid Models 29
Mukesh Kumar Awasthi, Atul Kumar Shukla and Dhananjay Yadav
2.1 Fluids 30
2.2 Viscoelastic Fluids 32
2.3 Viscoelastic Fluid Models 34
2.4 Applications of Viscoelastic Fluids in Industry and Nature 45
2.5 Recent Advances and Emerging Trends in Viscoelastic Fluid Flow 48
2.6 Conclusion 51
3 Computational Fluid Dynamics (CFD) for Non-Newtonian Fluids 55
K. Jyothi, Yeddula Rameswara Reddy, Ramachandra Reddy Vaddemani, Raghunath Kodi and Dhananjay Yadav
3.1 Introduction 56
3.2 Mathematical Formulation of the Problem 58
3.3 Numerical Method of Solution 62
3.4 Results and Discussions 72
3.5 Table Discussions 78
3.6 Conclusions 79
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 Scheme 85
Sahin Ahmed, Bikash Das and Anil Nangkar
4.1 Introduction 86
4.2 Mathematical Formulation 88
4.3 Research Methodology 92
4.4 Stability and Validation 93
4.5 Results and Discussion 94
4.6 Conclusions 98
5 Exploring Non-Newtonian Fluid Dynamics in Porous Media: A CNT-Water Diven Analytical Approach in Vertical Channels 103
Sahin Ahmed, Nava Jyoti Hazarika, Eny Tayang and Dhananjay Yadav
5.1 Introduction 105
5.2 Mathematical Formulation 109
5.3 Validity and Accuracy 114
5.4 Results and Discussion 115
5.5 Conclusion 120
6 Non-Newtonian Fluid Flow in Porous Media 125
Yeddula Rameswara Reddy, Damodara Reddy Annapureddy, K. Jyothi, Raghunath Kodi, Dhananjay Yadav and Ramachandra Reddy Vaddemani
6.1 Introduction 126
6.2 Problem Formulation 129
6.3 Physical Quantities 132
6.4 Code Validation 132
6.5 Result and Discussion 132
6.6 Conclusion 141
7 Effect of Couple Stresses on Thermal Convection of Navier–Stokes–Voigt Fluid in Porous Media 147
Sunil, Sweta Sharma, Deepak Kumar and Poonam Sharma
7.1 Introduction 148
7.2 Geometrical Configuration and Mathematical Formulation 153
7.3 Nonlinear Analysis 158
7.4 Linear Analysis 163
7.5 Solution Methodology 165
7.6 Results and Discussion 167
7.7 Conclusions 170
7.8 Applications 171
8 Convective Heat Transfer and Subcritical Dynamics in Rotating Ferrofluids with Couple Stresses in Porous Media Under Non-Equilibrium Conditions 177
Sunil, Akanksha Thakur and Reeta Devi
8.1 Introduction 178
8.2 Formulation of the Problem 181
8.3 Nonlinear Analysis 186
8.4 Variational Principle 191
8.5 Method of Solution 193
8.6 Results and Discussion 195
8.7 Conclusions 203
8.8 Applications 204
9 Non-Newtonian Casson Fluid through a Porous Rotating Channel with Seepage Flow 209
Abdul Faiz Ansari, Sameera Iqram, Vinod Y., Mohd. Asif and Piyush Jaiswal
9.1 Introduction 210
9.2 Problem Formulation 212
9.3 Solution of Problem 213
9.4 Results and Discussion 215
9.5 Conclusion 219
10 Stationary Thermosolutal Convection of a Rotating Walters' (Model B') Nanofluid in a Porous Medium Under Rigid–Rigid and Rigid–Free Boundary Conditions 223
Pushap Lata Sharma, Praveen Lata, Ajit Kumar, G.C. Rana and Dhananjay Yadav
10.1 Introduction 224
10.2 Mathematical Model 225
10.3 Linear Stability Analysis 232
10.4 Result and Discussion 235
10.5 Conclusion 240
11 Study of Two-Phase Flow Characteristics Due to Stretching Sheet 243
Aswin Kumar Rauta
11.1 Introduction 245
11.2 Modeling of the Problem 247
11.3 Flow Analysis and Coordinate System 248
11.4 Solution Method 251
11.5 Discussion 252
11.6 Conclusions 258
12 Thermophoresis and Brownian Movement Impact on Maxwell Fluid Flow Over Permeable Stretching Sheet with Variable Magnetic Field 263
S.M. Sachhin, G. M. Sachin, K. R. Harshitha, U.S. Mahabaleshwar and M. K. Awasthi
12.1 Introduction 264
12.2 Mathematical Analysis 266
12.3 Numerical Method and Solution 268
12.4 Results and Discussion 270
12.5 Conclusion 276
13 Arrhenius Activation Energy and Viscosity Ratio Impact on Casson Fluid Flow Across Porous Stretching Surface with Variable Magnetic Field 279
S.M. Sachhin, G. M. Sachin, U.S. Mahabaleshwar and M. K. Awasthi
13.1 Introduction 280
13.2 Mathematical Analysis 282
13.3 Numerical Method and Solution 284
13.4 Results and Discussion 286
13.5 Conclusion 294
14 Computational Fluid Dynamics Examination of Non‑Newtonian Fluid Flows over an Exponentially Extending Surface with Thermal Source/Sink 297
Priyanka Chandra and Raja Das
14.1 Introduction 298
14.2 Mathematical Formulation 300
14.3 Computational Fluid Dynamic Tools: FEM 303
14.4 Results Analysis 306
14.5 Conclusion 314
15 Non-Newtonian Fluids in Environmental Engineering 319
Abdulhalim Musa Abubakar, Suleiman A. Wali, Abubakar Mohammed and Vivek Kumar Pandey
15.1 Introduction 320
15.2 Characteristics of Non-Newtonian Fluids 321
15.3 Modeling Non-Newtonian Fluids 323
15.4 Case Studies 324
15.5 CFD Simulation Techniques 328
15.6 Challenges in Measurement and Modeling 330
15.7 Applications in Environmental Engineering 332
15.8 Conclusion 332
16 Non-Newtonian Fluid Dynamics in Additive Manufacturing and 3D Printing 355
Gandhimathi G., Chellaswamy C., Geetha T. S. and Awad M. M.
16.1 Introduction to Non-Newtonian Fluids in Additive Manufacturing 356
16.2 Rheology and Material Behavior in 3D Printing 359
16.3 Deposition Techniques for Non-Newtonian Fluids 362
16.4 Computational Modeling and Simulation 365
16.5 Conclusion and Future Scope 379
References 380
About the Editors 383
Index 385
