2019
DOI: 10.12732/ijam.v32i4.2
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Uniqueness and Decay Results for a Boussinesquian Nanofluid

Abstract: In this paper a uniqueness theorem for classical solutions is proved in the case of the evolution of a nanofluid filling a bounded domain under the Boussinesq approximation. The mass density of the nanofluid depends on the temperature and on the nanoparticle volume fraction. A decay in time of a suitable energy is achieved assuming that the material parameters satisfy some conditions. These results are then generalized in the presence of a magnetic field.

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Cited by 2 publications
(2 citation statements)
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“…Therefore, Nu expressively enhances for MWCNTs-engine oil (conventional nanofluid) and MWCNTs+CuO-engine oil (hybrid nanofluid). The comparison between HAM and numerical techniques are presented in figures (17)(18)(19)(20). An excellent agreement is found between HAM and numerical techniques.…”
Section: Resultsmentioning
confidence: 67%
See 1 more Smart Citation
“…Therefore, Nu expressively enhances for MWCNTs-engine oil (conventional nanofluid) and MWCNTs+CuO-engine oil (hybrid nanofluid). The comparison between HAM and numerical techniques are presented in figures (17)(18)(19)(20). An excellent agreement is found between HAM and numerical techniques.…”
Section: Resultsmentioning
confidence: 67%
“…The classical model of nanofluids was introduced by Hamilton and Crosser [16]. Some latest experimental and theoretical efforts are mentioned in Borrelli et al [17,18], Nassir et al [19], Alsagri et al [20], Krishna and Chamkha [21] and Chamkha et al [22].…”
Section: Introductionmentioning
confidence: 99%