Fluid Mechanics (5th Edition)

Fluid Mechanics (5th Edition)

Pijush K. Kundu, Ira M. Cohen, David R. Dowling

Language: English

Pages: 919

ISBN: B00ZOZI3P0

Format: PDF / Kindle (mobi) / ePub


Fluid mechanics, the study of how fluids behave and interact under various forces and in various applied situations-whether in the liquid or gaseous state or both-is introduced and comprehensively covered in this widely adopted text. Revised and updated by Dr. David Dowling, Fluid Mechanics, Fifth Edition is suitable for both a first or second course in fluid mechanics at the graduate or advanced undergraduate level. The leading advanced general text on fluid mechanics, Fluid Mechanics, 5e includes a free copy of the DVD "Multimedia Fluid Mechanics," second edition. With the inclusion of the DVD, students can gain additional insight about fluid flows through nearly 1,000 fluids video clips, can conduct flow simulations in any of more than 20 virtual labs and simulations, and can view dozens of other new interactive demonstrations and animations, thereby enhancing their fluid mechanics learning experience.

* Text has been reorganized to provide a better flow from topic to topic and to consolidate portions that belong together.

* Changes made to the book's pedagogy accommodate the needs of students who have completed minimal prior study of fluid mechanics.

* More than 200 new or revised end-of-chapter problems illustrate fluid mechanical principles and draw on phenomena that can be observed in everyday life.

* Includes free Multimedia Fluid Mechanics 2e DVD

Quality: Vector, Searchable, Bookmarked

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interface having a radius of curvature R (Figure 1.4a). If pi and po are the pressures on the two sides of the interface, then a force balance gives σ (2π R) = (pi − po )π R 2 , from which the pressure jump is found to be pi − po = 2σ , R (1.5) Figure 1.4 (a) Section of a spherical droplet, showing surface tension forces. (b) An interface with radii of curvatures R1 and R2 along two orthogonal directions. 9 7. Fluid Statics showing that the pressure on the concave side is higher. The

(1.20) p where the subscript “p” signifies that the partial derivative is taken at constant pressure. The expansion coefficient will appear frequently in our studies of nonisothermal systems. 9. Perfect Gas A relation defining one state function of a gas in terms of two others is called an equation of state. A perfect gas is defined as one that obeys the thermal equation of state p = ρRT , (1.21) where p is the pressure, ρ is the density, T is the absolute temperature, and R is the gas

ψ increases to the left. This can also be seen from the definition equation Figure 3.19 Flow through a pair of streamlines. 75 14. Polar Coordinates (3.35), according to which the derivative of ψ in a certain direction gives the velocity component in a direction 90◦ clockwise from the direction of differentiation. This requires that ψ in Figure 3.19 must increase downward if the flow is from right to left. One purpose of defining a streamfunction is to be able to plot streamlines. A more

know how an equation can be transformed from Cartesian into other coordinates. Here, we shall illustrate the procedure by transforming the Laplace equation ∇ 2ψ = ∂ 2ψ ∂ 2ψ + , ∂x 2 ∂y 2 to plane polar coordinates. Cartesian and polar coordinates are related by x = r cos θ θ = tan−1 (y/x), y = r sin θ r= x2 + y2. (3.40) 76 Kinematics Let us first determine the polar velocity components in terms of the streamfunction. Because ψ = f (x, y), and x and y are themselves functions of r and θ

assumed that the fluid density is very much greater than that of the atmosphere to which the tubes are exposed, the pressures at the tops of the two fluid columns are assumed to be the same. They will actually differ by ρatm g(h2 − h1 ). Use of the hydrostatic approximation above station 1 is valid when the streamlines are straight and parallel between station 1 and the upper wall. In working out this problem, the fluid density also has been taken to be a constant. The pressure p2 measured by a

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