Similarity Solutions for the Boundary Layer Flow and Heat Transfer of Viscous Fluids, Nanofluids, Porous Media, and Micropolar Fluids
- 1st Edition - September 9, 2021
- Imprint: Academic Press
- Authors: John H. Merkin, Ioan Pop, Yian Yian Lok, Teodor Grosan
- Language: English
- Paperback ISBN:9 7 8 - 0 - 1 2 - 8 2 1 1 8 8 - 5
- eBook ISBN:9 7 8 - 0 - 1 2 - 8 2 3 2 0 5 - 7
Similarity Solutions for the Boundary Layer Flow and Heat Transfer of Viscous Fluids, Nanofluids, Porous Media, and Micropolar Fluids presents new similarity solutions for fluid… Read more
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Request a sales quoteSimilarity Solutions for the Boundary Layer Flow and Heat Transfer of Viscous Fluids, Nanofluids, Porous Media, and Micropolar Fluids presents new similarity solutions for fluid mechanics problems, including heat transfer of viscous fluids, boundary layer flow, flow in porous media, and nanofluids due to continuous moving surfaces. After discussing several examples of these problems, similarity solutions are derived and solved using the latest proven methods, including bvp4c from MATLAB, the Keller-box method, singularity methods, and more. Numerical solutions and asymptotic results for limiting cases are also discussed in detail to investigate how flow develops at the leading edge and its end behavior.
Detailed discussions of mathematical models for boundary layer flow and heat transfer of micro-polar fluid and hybrid nanofluid will help readers from a range of disciplinary backgrounds in their research. Relevant background theory will also be provided, thus helping readers solidify their computational work with a better understanding of physical phenomena.
- Provides mathematical models that address important research themes, such as boundary layer flow and heat transfer of micro-polar fluid and hybrid nanofluid
- Gives detailed numerical explanations of all solution procedures, including bvp4c from MATLAB, the Keller-box method, and singularity methods
- Includes examples of computer code that will save readers time in their own work
Engineers and researchers working in fluid mechanics, computational fluid dynamics, nanofluidics, applied mathematics, physics, porous media, and viscous fluids
- Cover image
- Title page
- Table of Contents
- Copyright
- Preface
- Chapter 1. Basic equations and mathematical methods
- 1.1. Basic equations
- 1.2. Similarity solutions
- 1.3. Some numerical methods
- 1.4. Analytical solution methods
- Nomenclature
- Greek letters
- Subscript
- Chapter 2. Viscous fluids
- 2.1. Unsteady mixed convection flow at a three-dimensional stagnation point
- 2.2. Mixed convection boundary layer flow near the stagnation point on a vertical surface with slip
- 2.3. Mixed convection nonaxisymmetric Homann stagnation-point flow
- Nomenclature
- Greek letters
- Subscript
- Superscript
- Chapter 3. Stretching/shrinking sheets near a stagnation-point flow in viscous fluids
- 3.1. Introduction
- 3.2. Unsteady separated stagnation-point flow toward stretching/shrinking sheet
- 3.3. Axisymmetric rotational stagnation-point flow over a permeable stretching/shrinking rotating disk
- 3.4. Magnetohydrodynamic oblique stagnation-point flow toward a stretching/shrinking surface
- Nomenclature
- Greek symbols
- Subscripts
- Chapter 4. Nanofluids
- 4.1. Forced convection boundary layer flow past nonisothermal thin needles in nanofluids
- 4.2. Axisymmetric mixed convection boundary layer flow past a vertical cylinder in a nanofluid
- 4.3. Blasius and Sakiadis problems in nanofluids
- Nomenclature
- Greek letters
- Subscript
- Superscript
- Chapter 5. Stretching/shrinking sheets in nanofluids and hybrid nanofluids
- 5.1. Flow and heat transfer over an unsteady shrinking sheet with suction in a nanofluid using Buongiorno's model
- 5.2. Axisymmetric rotational stagnation-point flow impinging radially a permeable stretching/shrinking surface in a nanofluid
- 5.3. Flow and heat transfer over a permeable biaxial stretching/shrinking sheet in a nanofluid
- 5.4. Numerical solutions of nonalignment stagnation-point flow and heat transfer of a nanofluid over a stretching/shrinking surface in a nanofluid
- 5.5. Flow and heat transfer along a permeable stretching/shrinking curved surface in a hybrid nanofluid
- 5.6. MHD flow and heat transfer over a permeable stretching/shrinking sheet in a hybrid nanofluid with a convective boundary condition
- Nomenclature
- Greek letters
- Subscript
- Superscript
- Chapter 6. Mixed convection flow in porous medium
- 6.1. Introduction
- 6.2. Mixed convection boundary layer flow on a vertical surface in a saturated porous medium
- 6.3. Steady mixed convection flow over a permeable vertical thin cylinder in a porous medium
- 6.4. Mixed convection boundary layer flow from a vertical flat plate embedded in a porous medium filled with nanofluids
- 6.5. Mixed convection boundary layer flow along a vertical cylinder embedded in a porous medium filled by a nanofluid
- 6.6. Mixed convection boundary layer flow over a vertical plate embedded in a porous medium filled with a suspension of nano-encapsulated phase change materials
- Nomenclature
- Greek letters
- Subscript
- Superscript
- Chapter 7. Convective flows with internal heat generation in porous media
- 7.1. Introduction
- 7.2. Flows with temperature dependent heat generation
- 7.3. Flows with spatially dependent heat generation
- 7.4. Concluding remarks
- Nomenclature
- Greek symbols
- Chapter 8. Micropolar fluids over the moving surface
- 8.1. Introduction
- 8.2. Mixed convection flow of a micropolar fluid near a stagnation-point flow over a stretching surface
- 8.3. Oblique stagnation–slip flow of a micropolar fluid toward a stretching/shrinking surface
- 8.4. Moving wedge and flat plate in a micropolar fluid
- Nomenclature
- Greek symbols
- Subscripts
- Chapter 9. Jets
- 9.1. Introduction
- 9.2. Wall jet
- 9.3. Jet profile solutions of the Falkner–Skan equation
- 9.4. Numerical modeling of Glauert type exponentially decaying wall jet flows of nanofluids using Tiwari and Das' nanofluid model
- Nomenclature
- Greek letters
- Subscripts
- Superscripts
- Index
- Edition: 1
- Published: September 9, 2021
- Imprint: Academic Press
- No. of pages: 294
- Language: English
- Paperback ISBN: 9780128211885
- eBook ISBN: 9780128232057
JM
John H. Merkin
John Merkin is a Professor at the Department of Applied Mathematics of the University of Leeds, UK. His research career started more than 50 years ago, and he has published over 280 documents to date, mainly in the field of fluid mechanics. His current research interests include boundary layer flow, stagnation-point flow, and heat transfer.
Affiliations and expertise
Professor, Department of Applied Mathematics, University of Leeds, UKIP
Ioan Pop
Ioan Pop is a Professor of Applied Mathematics at the Faculty of Mathematics and Computer Science at Babes-Bolyai University, Romania. He has more than 50 years’ experience of research in fields including fluid mechanics and heat transfer with application to boundary layer theory, heat transfer in Newtonian and non-Newtonian fluids, magnetohydrodynamics, and convective flow in fluid-saturated porous media. In his career he has co-supervised more than 20 phd students, written 10 books, and co-authored over 850 research journal papers. He is the Director of the Centre for Excellence in Mechanics of the Romanian National Research Council, and serves on the editorial boards of 14 international scholarly journals, and has served on the organizing committee of over 27 conferences.
Affiliations and expertise
Faculty of Mathematics and Computer Science, Babes-Bolyai University, RomaniaYL
Yian Yian Lok
Yian Yian Lok is an Associate Professor in the Mathematics Section of the School of Distance Education at the Universiti Sains Malaysia, Malaysia. Her research interests include boundary layer flows, Non-Newtonian fluids, convection flows, and stagnation-point flows. In 2006 her research was awarded the ‘Highly Commended Award’ by the Emerald Literati Network.
Affiliations and expertise
Associate Professor, Mathematics Section, School of Distance Education, Universiti Sains Malaysia, MalaysiaTG
Teodor Grosan
Teodor Grosan is an Associate Professor at the Department of Mathematics of Babeş-Bolyai University in Romania. His research interests include theoretical mechanics, fluid mechanics, porous environments, and heat transfer.
Affiliations and expertise
Associate Professor, Department of Mathematics of Babes-Bolyai University, RomaniaRead Similarity Solutions for the Boundary Layer Flow and Heat Transfer of Viscous Fluids, Nanofluids, Porous Media, and Micropolar Fluids on ScienceDirect