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, changing a few of the insurance of numerical equipment 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, offering a scientific framework for every resolution scheme with consciousness to boundary stipulations and effort conservation. bankruptcy insurance contains:
- Heat conduction fundamentals
- Orthogonal capabilities, 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 answer 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 variation and huge difficulties, instances, and examples were completely up to date. A recommendations handbook can be on hand.
Heat Conduction is suitable examining for college students in mainstream classes of conduction warmth move, scholars in mechanical engineering, and engineers in study and layout capabilities all through industry.Content:
Chapter 1 warmth Conduction basics (pages 1–39):
Chapter 2 Orthogonal services, 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 method (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 countless 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 rework (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 tools (pages 496–546):
Chapter 14 critical rework process (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 resources for Heat Conduction, Third Edition
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. Show all steps and list all assumptions. Consider Figure 1-8. 1-3 Show that the following two forms of the differential operator in the cylindrical coordinate system are equivalent: 1d dT r r dr dr 1-4 1 dT d 2T + r dr dr2 Show that the following three different forms of the differential operator in the spherical coordinate system are equivalent: dT 1 d r2 2 r dr dr 1-5 = = 1 d2 d 2T 2 dT (rT) = + 2 2 r dr r dr dr Set up the mathematical formulation of the following heat conduction problems.
The results are presented here without derivation, although the respective differential control volumes are deﬁned. , Fourier’s law) in each new coordinate system may be given by the three principal components qi = −k 1 ∂T ai ∂ui for i = 1, 2, 3, . . (1-40) where u1 , u2 , and u3 are the curvilinear coordinates, and the coefﬁcients a1 , a2 , and a3 are the coordinate scale factors, which may be constants or functions of the coordinates. The expressions for the scale factors are derived for a general ¨ orthogonal curvilinear system by Ozisik .
Here we neglect any radiation losses. 1. 2 s is needed for the thermocouple to record 99% of the applied temperature difference. Partial Lumping In the lumped system analysis described above, we considered a total lumping in all the space variables; as a result, the temperature for the fully lumped system became a function of the time variable only. It is also possible to perform a partial lumped analysis, such that the temperature variation is retained in one of the space variables but lumped in the others.