Fundamentals of Compressible Flow Mechanics

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Genick Bar-Meir

Pub Date: 2012

ISBN 13:

Publisher: Potto Project

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Table of Contents

  • Chapter 1: Introduction
  • Chapter 2: Review of Thermodynamics
  • Chapter 3: Basic of Fluid Mechanics
  • Chapter 4: Speed of Sound
  • Chapter 5: Isentropic Flow
  • Chapter 6: Normal Shock
  • Chapter 7: Normal Shock in Variable Duct Areas
  • Chapter 8: Nozzle Flow With External Forces
  • Chapter 9: Isothermal Flow
  • Chapter 10: Fanno Flow
  • Chapter 11: Rayleigh Flow
  • Chapter 12: Evacuating SemiRigid Chambers
  • Chapter 13: Evacuating under External Volume Control
  • Chapter 14: Oblique Shock
  • Chapter 15: Prandtl-Meyer Function

About the Book

This book deals with an introduction to the flow of compressible substances (gases). The main difference between compressible flow and almost incompressible flow is not the fact that compressibility has to be considered. Rather, the difference is in two phenomena that do not exist in incompressible flow. The first phenomenon is the very sharp discontinuity (jump) in the flow in properties. The second phenomenon is the choking of the flow. Choking is when downstream variations don't effect the flow. Though choking occurs in certain pipe flows in astronomy, there also are situations of choking in general (external) flow.

About the Contributors


Genick Bar-Meir holds a Ph.D. in Mechanical Engineering from University of Minnesota and a Master in Fluid Mechanics from Tel Aviv University. Dr. Bar-Meir was the last student of the late Dr. R.G.E. Eckert. Much of his time has been spend doing research in the field of heat and mass transfer (related to renewal energy issues) and this includes fluid mechanics related to manufacturing processes and design. Currently, he spends time writing books (there are already three very popular books) and softwares for the POTTO project (see Potto Prologue). The author enjoys to encourage his students to understand the material beyond the basic requirements of exams. 

In his early part of his professional life, Bar-Meir was mainly interested in elegant models whether they have or not a practical applicability. Now, this author’s views had changed and the virtue of the practical part of any model becomes the essential part of his ideas, books and software. 

He developed models for Mass Transfer in high concentration that became a building blocks for many other models. These models are based on analytical solution to a family of equations. As the change in the view occurred, Bar-Meir developed models that explained several manufacturing processes such the rapid evacuation of gas from containers, the critical piston velocity in a partially filled chamber (related to hydraulic jump), application of supply and demand to rapid change power system and etc. All the models have practical applicability. These models have been extended by several research groups (needless to say with large research grants). For example, the Spanish Comision Interministerial provides grants TAP97-0489 and PB98-0007, and the CICYT and the European Commission provides 1FD97-2333 grants for minor aspects of that models. Moreover, the author’s models were used in numerical works, in GM, British industry, Spain, and Canada. 

In the area of compressible flow, it was commonly believed and taught that there is only weak and strong shock and it is continue by Prandtl–Meyer function. Bar–Meir discovered the analytical solution for oblique shock and showed that there is a quiet bu?er between the oblique shock and Prandtl–Meyer. He also build analytical solution to several moving shock cases. He described and categorized the filling and evacuating of chamber by compressible fluid in which he also found analytical solutions to cases where the working fluid was ideal gas. The common explanation to Prandtl–Meyer function shows that flow can turn in a sharp corner. Engineers have constructed design that based on this conclusion. Bar-Meir demonstrated that common Prandtl–Meyer explanation violates the conservation of mass and therefor the turn must be around a finite radius. The author’s explanations on missing diameter and other issues in fanno flow and “naughty professor’s question” are used in the industry.

In his book “Basics of Fluid Mechanics”, Bar-Meir demonstrated several things which include Pushka equation, dealing with the pressure accounted the slight compressibility (a ?nite Bulk Modulus effect), speed of sound in slightly compressible liquid. He showed the relationship between the wavy surface and the multi–phases flow.

The author lives with his wife and three children. A past project of his was building a four stories house, practically from scratch. While he writes his programs and does other computer chores, he often feels clueless about computers and programing. While he is known to look like he knows a lot a lot about many things, the author just know to learn quickly. The author spent years working on the sea (ships) as a engine sea officer but now the author prefers to remain on a solid ground.