Chapter 3 Non-Newtonian fluid flow and heat transfer
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Reshu Gupta
Abstract
This chapter examines the analytical study of flow and heat transfer in a non-Newtonian Reiner-Rivlin fluidRivlin fluid confined between two rotating disks in the presence of a magnetic field. We applied the Von Kármán similarity transformationsimilarity transformation to the higher-order partial differential equations, resulting in a system of nonlinear ordinary differential equations (ODEs) of flow and heat transfer. The system of nonlinear ODEs related to boundary conditions is solved using the differential transform method (DTMdifferential transform method (DTM)). The energy equation takes the viscous dissipation function into account. Therefore, the Eckert numberEckert number is involved in the energy equation. We go into great detail about how the temperature and velocity profiles are affected by factors like Reynolds numberReynolds number, viscoinelastic parameter, forced parameter, Prandtl numberPrandtl number, and magnetic field. The accuracy of DTMdifferential transform method (DTM) is demonstrated by a comparison of the findings produced by DTMdifferential transform method (DTM) with numerical results. Shear stress is computed for the top and bottom disks. Temperature profiles and velocity components can be calculated numerically and analytically using Maple software.
Abstract
This chapter examines the analytical study of flow and heat transfer in a non-Newtonian Reiner-Rivlin fluidRivlin fluid confined between two rotating disks in the presence of a magnetic field. We applied the Von Kármán similarity transformationsimilarity transformation to the higher-order partial differential equations, resulting in a system of nonlinear ordinary differential equations (ODEs) of flow and heat transfer. The system of nonlinear ODEs related to boundary conditions is solved using the differential transform method (DTMdifferential transform method (DTM)). The energy equation takes the viscous dissipation function into account. Therefore, the Eckert numberEckert number is involved in the energy equation. We go into great detail about how the temperature and velocity profiles are affected by factors like Reynolds numberReynolds number, viscoinelastic parameter, forced parameter, Prandtl numberPrandtl number, and magnetic field. The accuracy of DTMdifferential transform method (DTM) is demonstrated by a comparison of the findings produced by DTMdifferential transform method (DTM) with numerical results. Shear stress is computed for the top and bottom disks. Temperature profiles and velocity components can be calculated numerically and analytically using Maple software.
Chapters in this book
- Frontmatter I
- Contents V
- Aim and scope VII
- Preface IX
- Acknowledgments
- About editors XIII
- List of contributing authors XV
- Chapter 1 Introduction to flow dynamics and heat transfer 1
- Chapter 2 Compressible fluid flow and heat transfer 29
- Chapter 3 Non-Newtonian fluid flow and heat transfer 59
- Chapter 4 Heat transfer in forced and natural convection 81
- Chapter 5 Numerical study of coupled partial differential equations in heat transfer problems with imprecisely defined parameters 91
- Chapter 6 Numerical approach to study the effect of uncertain spectrum of field variables in a porous cavity 107
- Chapter 7 Investigation of the thermal fluid system using direct numerical simulation 123
- Chapter 8 Dynamics of shock-accelerated V-shaped gas interface 139
- Chapter 9 Nonlinear and linear analyses of partially ionized plasma 155
- Chapter 10 Thermo-fluid behavior of electroosmotic flow in a hydrophobic microchannel under Joule heating and external fields 185
- Chapter 11 The study of oscillating water column energy device in a two-layer fluid system of finite impermeable depth 219
- Chapter 12 Data-driven prediction of thermal conductivity ratio in nanoparticle-enhanced 60:40 EG/water nanofluids 239
- Chapter 13 Industrial applications of flow dynamics and heat transfer 261
- Chapter 14 Optimization techniques in flow dynamics and heat transfer 301
- Chapter 15 Advanced optimization methods in flow dynamics 335
- Index 353
- De Gruyter Series in Advanced Mechanical Engineering
Chapters in this book
- Frontmatter I
- Contents V
- Aim and scope VII
- Preface IX
- Acknowledgments
- About editors XIII
- List of contributing authors XV
- Chapter 1 Introduction to flow dynamics and heat transfer 1
- Chapter 2 Compressible fluid flow and heat transfer 29
- Chapter 3 Non-Newtonian fluid flow and heat transfer 59
- Chapter 4 Heat transfer in forced and natural convection 81
- Chapter 5 Numerical study of coupled partial differential equations in heat transfer problems with imprecisely defined parameters 91
- Chapter 6 Numerical approach to study the effect of uncertain spectrum of field variables in a porous cavity 107
- Chapter 7 Investigation of the thermal fluid system using direct numerical simulation 123
- Chapter 8 Dynamics of shock-accelerated V-shaped gas interface 139
- Chapter 9 Nonlinear and linear analyses of partially ionized plasma 155
- Chapter 10 Thermo-fluid behavior of electroosmotic flow in a hydrophobic microchannel under Joule heating and external fields 185
- Chapter 11 The study of oscillating water column energy device in a two-layer fluid system of finite impermeable depth 219
- Chapter 12 Data-driven prediction of thermal conductivity ratio in nanoparticle-enhanced 60:40 EG/water nanofluids 239
- Chapter 13 Industrial applications of flow dynamics and heat transfer 261
- Chapter 14 Optimization techniques in flow dynamics and heat transfer 301
- Chapter 15 Advanced optimization methods in flow dynamics 335
- Index 353
- De Gruyter Series in Advanced Mechanical Engineering
