Weitere Kapitel dieses Buchs durch Wischen aufrufen
In Chaps. 9 and 10 we have considered heat conduction problems with only one independent variable. Then, in Chap. 11, we have shown how simple heat-flow problems can be solved using shell energy balances. In this Chapter, we discuss more complex cases, where the temperature distribution depends on more than one variable, generally one spatial coordinate and time. In Sect. 12.1 the energy equation for flow systems is derived using an Eulerian approach, showing that at the end we obtain the same result as in Chap. 6, where a Lagrangian approach was adopted. Then, we study heat conduction in a semi-infinite slab, due to either a sudden heating of the wall (Sect. 12.2) or to a heat pulse (Sect. 12.3). Unsteady heat conduction in a finite slab is considered in Sect. 12.4, using the separation of variable approach and obtaining at the end a solution in the form of an eigenvalue expansion. Finally, we consider the steady transport of heat in a pipe, where, as independent variable, time is replaced by the axial coordinate. This problem is studied either using an overall shell balance approach (Sect. 12.5) or solving the full energy equation (Sect. 12.6).
Bitte loggen Sie sich ein, um Zugang zu diesem Inhalt zu erhalten
Sie möchten Zugang zu diesem Inhalt erhalten? Dann informieren Sie sich jetzt über unsere Produkte:
- Time Dependent Heat Conduction
- Chapter 12
in-adhesives, MKVS, Zühlke/© Zühlke