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Note for Advanced Fluid Mechanics - AFM by Abhimanyu Dash

  • Advanced Fluid Mechanics - AFM
  • Note
  • VSSUT, Burla - VSSUT
  • Civil Engineering
  • B.Tech
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Advanced Fluid Mechanics 2016 MCE2121 ADVANCED FLUID MECHANICS LECTURE NOTES Module-I Prepared By Dr. Prakash Chandra Swain Professor in Civil Engineering Veer Surendra Sai University of Technology, Burla Branch - Civil Engineering Specialization-Water Resources Engineering Semester – 1st Sem Department Of Civil Engineering VSSUT, Burla Prof P.C.Swain Page 1

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Advanced Fluid Mechanics 2016 Disclaimer This document does not claim any originality and cannot be used as a substitute for prescribed textbooks. The information presented here is merely a collection by Prof. P.C.Swain with the inputs of Post Graduate students for their respective teaching assignments as an additional tool for the teachinglearning process. Various sources as mentioned at the reference of the document as well as freely available materials from internet were consulted for preparing this document. Further, this document is not intended to be used for commercial purpose and the authors are not accountable for any issues, legal or otherwise, arising out of use of this document. The authors make no representations or warranties with respect to the accuracy or completeness of the contents of this document and specifically disclaim any implied warranties of merchantability or fitness for a particular purpose. Prof P.C.Swain Page 2

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Advanced Fluid Mechanics 2016 Course Content Module I Introduction: Survey of Fluid Mechanics, Structure of Fluid Mechanics Based on Rheological, Temporal Variation, Fluid Type, Motion Characteristic and spatial Dimensionality Consideration, Approaches in Solving Fluid Flow Problems, Fundamental idealizations and Descriptions of Fluid Motion, Quantitative Definition of Fluid and Flow, Reynolds Transport Theorem, Mass, Momentum and Energy Conservation Principles for Fluid Flow. Potential Flow: Frictionless Irrotational Motions, 2 - Dimensional Stream Function and Velocity Potential Function in Cartesian and Cylindrical Polar Coordinate Systems, Standard Patterns of Flow, Source, Sink, Uniform Flow and irrotational vortex, Combinations of Flow Patterns, method of Images in Solving Groundwater Flow problems, Method of Conformal transformations. Prof P.C.Swain Page 3

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Advance Fluid Mechanics 2016 MODULE-I Lecture Note 1 INTRODUCTION Fluid is a substance that continually deforms (flows) under an applied shear stress. Fluids are a subset of the phases of matter and include liquids, gases, plasmas and, to some extent, plastic solids. Fluids are substances that have zero shear modulus or, in simpler terms, a fluid is a substance which cannot resist any shear force applied to it. Fluid mechanics is the branch of science which deals with the behavior of fluids(liquids or gases)at rest as well as in motion. It deals with the static, kinematics and dynamic aspects of fluids. The study of fluids at rest is called fluid statics. The study of fluid in motion is called fluid kinematics if pressure forces are not considered if pressure force is considered in fluid in motion is called fluid dynamics. PROPERTIES OF FLUIDS DENSITY or MASS DENSITY:The density, or more precisely, the volumetric mass density, of a substance is its mass per unit volume. The symbol most often used for density is ρ( Greek letter rho), Mathematically, density is defined as mass divided by volume m ρ= V whereρ is the density, m is the mass, and V is the volume. In some cases (for instance, in the United States oil and gas industry), density is loosely defined as its weight per unit volume. Prof P.C Swain Page 1

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