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Erschienen in:
2018 | OriginalPaper | Buchkapitel
2. Governing Equations
verfasst von : Aleksandra A. Bozhko, Sergey A. Suslov
Erschienen in: Convection in Ferro-Nanofluids: Experiments and Theory
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Abstract
In this chapter the equations describing flows of non-isothermal ferrofluids and the corresponding boundary conditions are summarised. The main physical assumptions under which these equations are valid are discussed, and references to further reading are given. The constitutive equations for ferrofluid magnetisation are also reviewed. It is emphasised that commonly used Langevin’s magnetisation law may be inaccurate in the case of non-isothermal ferrofluids, and thus the second-order modified mean-field model is preferred. Subsequently, the nondimensional form of equations is introduced, and the major governing nondimensional parameters in terms of which the results are presented throughout the manuscript are defined, and their physical meaning is identified.