Similarity Solutions for the Boundary Layer Flow and Heat Transfer of Viscous Fluids, Nanofluids, Porous Media, and Micropolar Fluids

Similarity Solutions for the Boundary Layer Flow and Heat Transfer of Viscous Fluids, Nanofluids, Porous Media, and Micropolar Fluids

1st Edition - September 9, 2021

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  • Authors: John Merkin, Ioan Pop, Yian Yian Lok, Teodor Grosan
  • eBook ISBN: 9780128232057
  • Paperback ISBN: 9780128211885

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Description

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 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.

Key Features

  • 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

Readership

Engineers and researchers working in fluid mechanics, computational fluid dynamics, nanofluidics, applied mathematics, physics, porous media, and viscous fluids

Table of Contents

  • 1. Basic equations and mathematical methods
    2. Viscous fluids
    3. Stretching/shrinking sheets near a stagnation-point flow in viscous fluids
    4. Nanofluids and hybrid nanofluids
    5. Stretching/shrinking sheets in nanofluids
    6. Mixed convection flow in porous medium
    7. Convective flows with heat generation in porous media
    8. Micropolar fluids over a moving surface
    9. Jets

Product details

  • No. of pages: 294
  • Language: English
  • Copyright: © Academic Press 2021
  • Published: September 9, 2021
  • Imprint: Academic Press
  • eBook ISBN: 9780128232057
  • Paperback ISBN: 9780128211885

About the Authors

John 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, UK

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, Romania

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, Malaysia

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, Romania

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