fluid_mechanics
712 Appendix A ■ Computational Fluid Dynamics and FlowLab A.8 FlowLab of the convergence criterion, whether the time step is adequate for the time scale of the problem, and comparison of CFD solutions to existing data, at least for baseline cases. Even when using a commercial CFD code that has been validated on many problems in the past, the CFD practitioner still needs to verify the results through such measures as grid-dependence testing. A.7.4 Summary In CFD, there are many different numerical schemes, grid techniques, etc. They all have their advantages and disadvantages. A great deal of care must be used in obtaining approximate numerical solutions to the governing equations of fluid motion. The process is not as simple as the often-heard “just let the computer do it.” Remember that CFD is a tool and as such needs to be used appropriately to produce meaningful results. The general field of computational fluid dynamics, in which computers and numerical analysis are combined to solve fluid flow problems, represents an extremely important subject area in advanced fluid mechanics. Considerable progress has been made in the past relatively few years, but much remains to be done. The reader is encouraged to consult some of the available literature. The authors of this textbook are working in collaboration with Fluent, Inc., the largest provider of commercial CFD software (www.fluent.com), to offer students the opportunity to use a new CFD tool called FlowLab. FlowLab is designed to be a virtual fluids laboratory to help enhance the educational experience in fluids courses. It uses computational fluid dynamics to help the student grasp various concepts in fluid dynamics and introduces the student to the use of CFD in solving fluid flow problems. Go to the book’s website at www.wiley.com/college/munson to access FlowLab resources for this textbook. The motivation behind incorporating FlowLab with a fundamental fluid mechanics textbook is twofold: (1) expose the student to computational fluid dynamics and (2) offer a mechanism for students to conduct experiments in fluid dynamics, numerically in this case. This educational software allows students to reinforce basic concepts covered in class, conduct parametric studies to gain a better understanding of the interaction between geometry, fluid properties, and flow conditions, and provides the student a visualization tool for various flow phenomena. One of the strengths of FlowLab is the ease-of-use. The CFD simulations are based on previously developed templates which allow the user to start using CFD to solve flow problems without requiring an extensive background in the subject. FlowLab provides the student the opportunity to focus on the results of the simulation rather than the development of the simulation. Typical results showing the developing velocity profile in the entrance region of a pipe are shown in the solution window of Fig. A.9. Axial Velocity Axial Velocity (m/s) 0.0442 0.0395 0.0347 0.03 0.0253 0.0205 0.0158 Legend inlet x = 0.5d x = 1d x = 5d x = 10d x = 25d outlet 0.0111 0.00631 0.00157 0 Position (n) 0.1 F I G U R E A.2 Entrance flow in a pipe. Velocity profiles as a function of radial position for various locations along the pipe length.
References 713 Problems have been developed that take advantage of the FlowLab capability of this textbook. Go to the book’s website, www.wiley.com/college/munson, to access these problems (contained in Chapters 7, 8, and 9) as well as a basic tutorial on using FlowLab. The course instructor can provide information on accessing the FlowLab software. The book’s website also has a brief example using FlowLab. References 1. Baker, A. J., Finite Element Computational Fluid Mechanics, McGraw-Hill, New York, 1983. 2. Carey, G. F., and Oden, J. T., Finite Elements: Fluid Mechanics, Prentice-Hall, Englewood Cliffs, N.J., 1986. 3. Brebbia, C. A., and Dominguez, J., Boundary Elements: An Introductory Course, McGraw-Hill, New York, 1989. 4. Moran, J., An Introduction to Theoretical and Computational Aerodynamics, Wiley, New York, 1984. 5. Anderson, J.D., Computational Fluid Dynamics: The Basics with Applications, McGraw-Hill, New York, 1995. 6. Thompson, J. F., Warsi, Z. U. A., and Mastin, C. W., Numerical Grid Generation: Foundations and Applications, North-Holland, New York, 1985. 7. Peyret, R., and Taylor, T. D., Computational Methods for Fluid Flow, Springer-Verlag, New York, 1983. 8. Tannehill, J. C., Anderson, D. A., and Pletcher, R. H., Computational Fluid Mechanics and Heat Transfer, 2nd Ed., Taylor and Francis, Washington, D.C., 1997. 9. Hall, E. J., and Pletcher, R. H., Simulation of Time Dependent, Compressible Viscous Flow Using Central and Upwind-Biased Finite-Difference Techniques, Technical Report HTL-52, CFD-22, College of Engineering, lowa State University, 1990. 10. Lewellen, D. C., Gong, B., and Lewellen, W. S., Effects of Debris on Near-Surface Tornado Dynamics, 22nd Conference on Severe Local Storms, Paper 15.5, American Meteorological Society, 2004.
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712 Appendix A ■ Computational Fluid Dynamics and FlowLab<br />
A.8 FlowLab<br />
of the convergence criterion, whether the time step is adequate for the time scale of the problem, and<br />
comparison of CFD solutions to existing data, at least for baseline cases. Even when using a commercial<br />
CFD code that has been validated on many problems in the past, the CFD practitioner still<br />
needs to verify the results through such measures as grid-dependence testing.<br />
A.7.4 Summary<br />
In CFD, there are many different numerical schemes, grid techniques, etc. They all have their<br />
advantages and disadvantages. A great deal of care must be used in obtaining approximate numerical<br />
solutions to the governing equations of <strong>fluid</strong> motion. The process is not as simple as the<br />
often-heard “just let the computer do it.” Remember that CFD is a tool and as such needs to be<br />
used appropriately to produce meaningful results. The general field of computational <strong>fluid</strong> dynamics,<br />
in which computers and numerical analysis are combined to solve <strong>fluid</strong> flow problems, represents<br />
an extremely important subject area in advanced <strong>fluid</strong> <strong>mechanics</strong>. Considerable progress<br />
has been made in the past relatively few years, but much remains to be done. The reader is encouraged<br />
to consult some of the available literature.<br />
The authors of this textbook are working in collaboration with Fluent, Inc., the largest provider<br />
of commercial CFD software (www.fluent.com), to offer students the opportunity to use a new<br />
CFD tool called FlowLab. FlowLab is designed to be a virtual <strong>fluid</strong>s laboratory to help enhance<br />
the educational experience in <strong>fluid</strong>s courses. It uses computational <strong>fluid</strong> dynamics to help the student<br />
grasp various concepts in <strong>fluid</strong> dynamics and introduces the student to the use of CFD in<br />
solving <strong>fluid</strong> flow problems. Go to the book’s website at www.wiley.com/college/munson to<br />
access FlowLab resources for this textbook.<br />
The motivation behind incorporating FlowLab with a fundamental <strong>fluid</strong> <strong>mechanics</strong> textbook is<br />
twofold: (1) expose the student to computational <strong>fluid</strong> dynamics and (2) offer a mechanism for students<br />
to conduct experiments in <strong>fluid</strong> dynamics, numerically in this case. This educational software<br />
allows students to reinforce basic concepts covered in class, conduct parametric studies to gain a better<br />
understanding of the interaction between geometry, <strong>fluid</strong> properties, and flow conditions, and provides<br />
the student a visualization tool for various flow phenomena.<br />
One of the strengths of FlowLab is the ease-of-use. The CFD simulations are based on previously<br />
developed templates which allow the user to start using CFD to solve flow problems without<br />
requiring an extensive background in the subject. FlowLab provides the student the opportunity<br />
to focus on the results of the simulation rather than the development of the simulation. Typical<br />
results showing the developing velocity profile in the entrance region of a pipe are shown in the<br />
solution window of Fig. A.9.<br />
Axial Velocity<br />
Axial Velocity (m/s)<br />
0.0442<br />
0.0395<br />
0.0347<br />
0.03<br />
0.0253<br />
0.0205<br />
0.0158<br />
Legend<br />
inlet<br />
x = 0.5d<br />
x = 1d<br />
x = 5d<br />
x = 10d<br />
x = 25d<br />
outlet<br />
0.0111<br />
0.00631<br />
0.00157<br />
0<br />
Position (n)<br />
0.1<br />
F I G U R E A.2 Entrance<br />
flow in a pipe. Velocity profiles as a<br />
function of radial position for various<br />
locations along the pipe length.