By Sedat Biringen

ISBN-10: 0470102268

ISBN-13: 9780470102268

This new publication builds at the unique vintage textbook entitled: An creation to Computational Fluid Mechanics through C. Y. Chow which was once initially released in 1979. within the many years that experience handed considering the fact that this e-book was once released the sector of computational fluid dynamics has obvious a few alterations in either the sophistication of the algorithms used but in addition advances within the machine and software program to be had. This new e-book accommodates the most recent algorithms within the resolution strategies and helps this through the use of a variety of examples of functions to a vast diversity of industries from mechanical and aerospace disciplines to civil and the biosciences. the pc courses are constructed and to be had in MATLAB. additionally the center textual content presents up to date answer equipment for the Navier-Stokes equations, together with fractional step time-advancement, and pseudo-spectral equipment. the pc codes on the following web site: www.wiley.com/go/biringen

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**Additional info for An Introduction to Computational Fluid Mechanics by Example **

**Sample text**

1 shows a glider of mass m flying at a velocity w, which makes an angle θ with the horizontal x axis. The aerodynamic forces acting on the glider in the directions normal and parallel to the flight path are called the lift L and drag D, respectively. 2) in which sin θ = v w and cos θ = u w. 3) D = cd 12 ρw2 S where ρ is the density of air and S is the projected wing area. Suppose at an initial instant t = 0 the velocity is w0 and the inclination angle is θ0 . 1 Forces on a glider. FLIGHT PATH OF A GLIDER—A GRAPHICAL PRESENTATION 33 dimensionless time T , and dimensionless coordinates X , Y .

The optimum angle in a favorable wind is the highest, and that in an adverse wind is the lowest among the three. The result can be explained as follows. Shooting a projectile in a vacuum at a 45◦ angle gives a range longer than the one that resulted from a lower shooting angle, and the flight time of the projectile in the former is longer than that in the latter case. In the presence of air without a wind, because of the shorter action of air resistance on the body, less kinetic energy is dissipated from the projectile shooting at a lower angle and, under appropriate conditions, the loss in horizontal distance because of air friction can be less.

The reason is that the projectile reaches a higher altitude by aiming the gun higher, and the smaller air resistance there may cause a longer range for certain angles. To verify this phenomenon, let us consider a cannon shell whose muzzle velocity is 800 m/s. At a supersonic speed the drag coefficient is a function of Mach number and of Reynolds number, and it varies with the shape of the projectile. 4 throughout the flight. 000118y)kg m3 where y is the height above sea level measured in meters.

### An Introduction to Computational Fluid Mechanics by Example by Sedat Biringen

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