By J. Tinsley Oden
A glossy method of mathematical modeling, that includes precise purposes from the sphere of mechanics
An advent to Mathematical Modeling: A direction in Mechanics is designed to survey the mathematical versions that shape the principles of recent technological know-how and accommodates examples that illustrate how the main profitable versions come up from simple ideas in glossy and classical mathematical physics. Written by means of an international authority on mathematical thought and computational mechanics, the ebook provides an account of continuum mechanics, electromagnetic box thought, quantum mechanics, and statistical mechanics for readers with various backgrounds in engineering, machine technology, arithmetic, and physics.
The writer streamlines a entire knowing of the subject in 3 in actual fact prepared sections:
Nonlinear Continuum Mechanics introduces kinematics in addition to strength and rigidity in deformable our bodies; mass and momentum; stability of linear and angular momentum; conservation of power; and constitutive equations
Electromagnetic box conception and Quantum Mechanics encompasses a short account of electromagnetic wave concept and Maxwell's equations in addition to an introductory account of quantum mechanics with similar issues together with ab initio equipment and Spin and Pauli's principles
Statistical Mechanics offers an advent to statistical mechanics of structures in thermodynamic equilibrium in addition to continuum mechanics, quantum mechanics, and molecular dynamics
Each a part of the ebook concludes with workout units that let readers to check their knowing of the awarded fabric. Key theorems and basic equations are highlighted all through, and an intensive bibliography outlines assets for extra study.
Extensively class-tested to make sure an available presentation, An creation to Mathematical Modeling is a superb e-book for classes on introductory mathematical modeling and statistical mechanics on the upper-undergraduate and graduate degrees. The e-book additionally serves as a necessary reference for pros operating within the parts of modeling and simulation, physics, and computational engineering.
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Extra resources for An introduction to mathematical modeling : a course in mechanics
Even more pronounced differences are evident in the combustion of metallic particles in a turbulent dust flame. As previously mentioned, combustion of small organic dust particles may be similar to the combustion of some gaseous mixtures. This is a good approximation only for relatively low values of particle concentration. For higher values of dust concentration (especially much higher than stoichiometric) the combustion will yield a sizeable concentration of char, which is the product of pyrolysis; secondary reactions are possible.
220-223. , "Propagation of Laminar Pulverized CoalAir Flames," Progress Energy Combust. , Volume 3, pp. 235-258. , "Fundamental Properties of Flames Propagating in Starch Dust-Air Mixtures," Combust. Sci. , Volume 62, 1988, pp. 149-172. , "Combustion and Flame Propagation in Coal Systems. A Review," Proceedings of the Sixteenth International Symposium on Combustion, The Combustion Institute, Pittsburg, PA, 1977, pp. 352-374. 30 P. , "Detonation of Coal Dust," Bulletin de TAcad. Polonaise des Sciences.
9b). Such measurements of the global influence of turbulence are important, but most important are measurements and studies structured to better comprehend the complexity of turbulent combustion of dust mixtures. Particularly critical are the elementary studies of the mechanism of flame propagation in the single turbulence vortex, the influence of turbulent scale and intensity, and 16 P. WOLANSKI the influence of turbulent flow on the combustion of single dust particles or the agglomeration of dust particles.