A Treatise in Fluid Dynamics is atextbook for beginning engineering students who have background ofbasic calculus and physics. This textbook follows a typicalsequence of topics of dynamics of fluids by starting with anintroduction to the subject, concentrating on terminologies, simpleconcepts, and clarifying adoption of the system and control volumeapproach to describe the motion of the fluid. It then follows byunsteady im-pressible incompressible flows, impressible potentialflows, numerical computation of fluid dynamic problems,viscousflows, and open channel flows. A large numbers of examples, such assluice gate, a sharp crested weir, jet-plate interaction, etc. ,are presented throughout the textbook to emphasize the applicationsof fluid dynamics to various practical problems. Some simpleFortran computer programs are provided for calculatingincompressible potential flow past simple geometrical bodies basedupon surface source distributions and other problems. As thistextbook is the extended version of the lecture notes prepared bythe first author throughout his career of teaching and research inthe areas of gas dynamics, fluid dynamics and thermodynamics at theUniversity of Illinois at Urbana-Champaign and Florida AtlanticUniversity, it can serve as a useful reference book for graduatestudents and researchers in the related technical fields.
CHAPTER 1 BASIC EQUATIONS GOVERNING THE FLOW OFFLUIDSCHAPTER 2 APPLICATION OF BERNOULLI's PRINCIPLE TO SOMEINCOMPRESSIBLE FLOWSCHAPTER 3 POTENTIAL FLOW OF AN IDEAL FLUIDCHAPTER 4 NUMERICAL COMPUTATIONS ON FLUID DYNAMICPROBLEMS——WITH EMPHASIS ON INVISCID FLOWSCHAPTER 5 VISCOUS FLOWS INTRODUCTIONCHAPTER 6 OPEN CHANNEL FLOWS INTRODUCTIONAPPENDIX A A REVIEW OF VECTOR-ANALYSISAPPENDIX B VARIOUS VECTOR EXPRESSIONS IN ORTHOGONALCURVILINEAR SYSTEM OF COORDINATESAPPENDIX C MATHEMATIC PROCEDURE TO COMPUTE VENA-CONTRACTINGCOEFFICIENTS
版權頁︰插圖︰To study the motion of a fluid, we must identify a fluid element and describe the flowevents associated with it. One way of doing this is to identify a particular element of fluidand describe the detailed motion of this element. This is the familiar kind of descriptionadopted to study the dynamics of a particle or a rigid body, and is called the particle orLagrangian approach. However, this is not a convenient way to study the motion of a fluid.Another way to describe a fluid motion is to specify the flow properties of the fluid at aspecific location within a physical region; this is the field or Eulerian approach~ and isadopted here to study the motion of the fluid. The weather map is a good example of theEulerian approach. Since all principles of conservation are always referring to a specific massof fluid（the Lagrangian approach）, and we shall adopt the Eulerian approach in our study,we must discuss these two schemes in detail and establish the relationship of transformationbetween them.1.2. 1 Lagrangian FormulationWithin the Lagrangian scheme, we focus our attention on a particular element of thefluid and describe its flow events as time proceeds. For example, we may express the spatiallocation of an element of fluid as a function of time, t. X（t）, Y（t）, and Z（t）. The velocityand acceleration of this element of fluid is found by differentiating these functions withrespect to t. We may also use functions of the form P（t）, T（t）, and p（t） to express,respectively, the pressure, temperature, and density of this element of fluid as functions oftime. However, to make this representation meaningful, we must have some means toidentify these quantities for each fluid element in the flow field. One way of identifying afluid element is to define its spatial location at a given time.
自然科學 TXT下载华友网 @ 2017