By David W. Hahn, M. Necati Ozisik(auth.)
The long-awaited revision of the bestseller on warmth conduction
Heat Conduction, 3rd version is an replace of the vintage textual content on warmth conduction, exchanging the various assurance of numerical tools with content material on micro- and nanoscale warmth move. With an emphasis at the arithmetic and underlying physics, this re-creation has enormous intensity and analytical rigor, supplying a scientific framework for every resolution scheme with cognizance to boundary stipulations and effort conservation. bankruptcy insurance contains:
- Heat conduction fundamentals
- Orthogonal features, boundary worth difficulties, and the Fourier Series
- The separation of variables within the oblong coordinate system
- The separation of variables within the cylindrical coordinate system
- The separation of variables within the round coordinate system
- Solution of the warmth equation for semi-infinite and endless domains
- The use of Duhamel's theorem
- The use of Green's functionality for resolution of warmth conduction
- The use of the Laplace transform
- One-dimensional composite medium
- Moving warmth resource problems
- Phase-change problems
- Approximate analytic methods
- Integral-transform technique
- Heat conduction in anisotropic solids
- Introduction to microscale warmth conduction
In addition, new capstone examples are incorporated during this version and vast difficulties, instances, and examples were completely up to date. A options handbook is additionally on hand.
Heat Conduction is suitable interpreting for college students in mainstream classes of conduction warmth move, scholars in mechanical engineering, and engineers in learn and layout features all through industry.Content:
Chapter 1 warmth Conduction basics (pages 1–39):
Chapter 2 Orthogonal capabilities, Boundary worth difficulties, and the Fourier sequence (pages 40–74):
Chapter three Separation of Variables within the oblong Coordinate method (pages 75–127):
Chapter four Separation of Variables within the Cylindrical Coordinate approach (pages 128–182):
Chapter five Separation of Variables within the round Coordinate approach (pages 183–235):
Chapter 6 answer of the warmth Equation for Semi?Infinite and endless domain names (pages 236–272):
Chapter 7 Use of Duhamel's Theorem (pages 273–299):
Chapter eight Use of Green's functionality for answer of warmth Conduction difficulties (pages 300–354):
Chapter nine Use of the Laplace remodel (pages 355–392):
Chapter 10 One?Dimensional Composite Medium (pages 393–432):
Chapter eleven relocating warmth resource difficulties (pages 433–451):
Chapter 12 Phase?Change difficulties (pages 452–495):
Chapter thirteen Approximate Analytic equipment (pages 496–546):
Chapter 14 essential rework method (pages 547–613):
Chapter 15 warmth Conduction in Anisotropic Solids (pages 614–650):
Chapter sixteen creation to Microscale warmth Conduction (pages 651–678):
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Additional info for Heat Conduction 3rd edition by Hahn, David W., Ozisik, M. Necati (2012) Hardcover
A. Kern and A. D. Kraus, Extended Surface Heat Transfer, McGraw-Hill, New York, 1972. ¨ 17. M. D. Mikhailov and M. N. Ozisik, Uniﬁed Analysis and Solutions of Heat and Mass Diffusion, Wiley, New York, 1984. PROBLEMS 1-1 Derive the heat conduction equation (1-43) in cylindrical coordinates using the differential control approach beginning with the general statement of conservation of energy. Show all steps and list all assumptions. Consider Figure 1-7. 1-2 Derive the heat conduction equation (1-46) in spherical coordinates using the differential control approach beginning with the general statement of conservation of energy.
Nye, Physical Properties of Crystals: Their Representation by Tensors and Matrices, Oxford University Press, Oxford, 1985. 16. D. A. Kern and A. D. Kraus, Extended Surface Heat Transfer, McGraw-Hill, New York, 1972. ¨ 17. M. D. Mikhailov and M. N. Ozisik, Uniﬁed Analysis and Solutions of Heat and Mass Diffusion, Wiley, New York, 1984. PROBLEMS 1-1 Derive the heat conduction equation (1-43) in cylindrical coordinates using the differential control approach beginning with the general statement of conservation of energy.
This matter will be discussed further in Chapter 15. 1-8 LUMPED AND PARTIALLY LUMPED FORMULATION The transient heat conduction formulations considered up to this point assume a general temperature distribution varying both with time and position. There are many engineering applications in which the spatial variation of temperature within the medium can be neglected, and temperature is considered to be a function of time only. Such formulations, called lumped system formulation or lumped capacitance method , provide a great simpliﬁcation in the analysis of transient heat conduction; but their range of applicability is very restricted.