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## Meet the editor

Dr. P. Srinivasa Rao is presently working as a Professor and Head of the Department of Mechanical Engineering at Vardhaman College Engineering, Hyderabad. Dr. Rao earned his Ph.D. in Computational Fluid Dynamics (CFD) and IC Engine Combustion. He worked as a scientist in the Computational Fluid Dynamics division of the Scientific Engineering and Computing Group (SECG) at the Centre for Development of Advanced

Computing (C-DAC), Pune. Dr. Rao has over 60 publications in refereed international journals and conferences and is an inventor of 4 patents. He acted as a facilitator for the learning process and organized 16 workshops/FDPs/SDPs, 3 international conferences, and 2 national conferences beneficial to faculty, researchers and industry and delivered 32 plenaries, keynote speeches, and invited talks. Dr. Rao has taught over 32 courses on CFD, turbulence modeling, and combustion. He has advised 4 doctoral research fellows and has been a research visitor for 39 graduate students. He has been the editor of international scientific journals and a reviewer for more than twenty journals from Asia, Europe, and the USA of repute like SAE. Dr. Rao's research has involved applications of the CFD to the problems of mechanical and aerospace systems, computational physics, and turbulence modeling including biology and medicine.

Contents

**Section 1**

Turbulent Flow Simulations

through an Opening

Reynolds Number *by P. Srinivasa Rao*

*by V.I. Biryukov*

*by Myron Polatayko*

Bases of Combustion Instability

Interaction of Hydrogen with Oxygen

DNS for Turbulent Premixed Combustion *by Dipal Patel and Martin Agelin-Chaab*

*Rey C. Chin and Paul R. Medwell*

A Theoretical Review of Rotating Detonation Engines *by Ian J. Shaw, Jordan A.C. Kildare, Michael J. Evans, Alfonso Chinnici, Ciaran A.M. Sparks, Shekh N.H. Rubaiyat,*

**Section 2**

**Preface XI**

Inviscid Flow Turbulence **1**

**Chapter 1 3**

**Chapter 2 13**

**Chapter 3 39**

Reactive Fluid Turbulence **51**

**Chapter 4 53**

**Chapter 5 69**

**Chapter 6 87**

**Chapter 7 105**

*by Laith Jaafer Habeeb and Riyadh Sabah Saleh Al-Turaihi*

Propagation of Shock Waves in Two Rooms Communicating

Direct Numerical Simulation of Nano Channel Flows at Low

Determination of the Velocity of the Detonation Wave and the Conditions for the Appearance of Spherical Detonation during the

*by Isabelle Sochet, Kevin Gault and Luc Hakenholz*

## Contents

*Rey C. Chin and Paul R. Medwell*



Preface

Problems in fluid mechanics and turbulence are omnipresent and pose challenges to engineers, physicists, and mathematicians alike. Particularly, the flow instabilities and flow transition from laminar flow to a chaotic or turbulent state, lead to changes in the properties of the fluid across space and time. The only alternative is a numerical solution, and this is why computational methods have become an indispensable tool in the exploration and analysis of a wide range of engineering and physical phenomena. Direct Numerical Simulation (DNS) is an advanced branch of computational fluid dynamics (CFD) devoted to the high-fidelity solution of tur-

The strength of DNS is the ability to provide complete knowledge, unaffected by approximations, at every point and every time of the simulation within the flow. Therefore, it is an ideal tool to address basic research questions regarding turbulence in engineering and physics. However, the cost of DNS prevents it from being used as a general-purpose design tool. Though there are large amounts of information available on this subject in the literary world and on the web, there are insufficient resources that reference matching case studies. This book is not a systematic journey through DNS but rather an exposition of doing it. It is more of an explicit example-based problem-solving guide by various authors in specialized numerical experimentation. The target audience consists of engineering students venturing into computational fluid dynamics. This book is an introductory illustrative text on DNS and may help readers in gaining fundamental skills on the techniques of direct

I thank all the authors for contributing such wonderful content for the readers of this book. I thank the management of Vardhaman College of Engineering, for supporting me in editing this volume. I thank the principal, deans, heads, and my colleagues. Special thanks to my student Shashank for helping in a chapter. I thank my wife, beloved daughter, Amma, Nanagaru, Kavya and all my family members

**Dr. P. Srinivasa Rao,**

Vardhaman College of Engineering,

Shamshabad, Hyderabad, Telangana State, India

numerical simulations in computational fluid mechanics.

for their continuous support.

bulent flows.

*by Hussein A.M. Al-Zubaidi and Scott A. Wells*
