The study of classical nanoﬂuid is limited to partial differential equations with integer-order neglecting memory effect. Fractionalized nanoﬂuids, modeled by partial differential equations with Caputo time-fractional derivative, have the capability to address the memory effect. This article deals with the ﬂow and entropy generation of electrically conducting different types of fractionalized nanoﬂuids passing over an inﬁnite vertical plate embedded in porous medium. The governing equations are transformed into dimensionless form, and then, a time-fractional model is generated using the Caputo approach. Two different nanoparticles (molybdenum disulﬁde and graphene oxide) are dispersed in three different base ﬂuids (water, kerosene oil and methanol). The problem is solved for the exact solutions using the Laplace transformation technique. The impacts of fractional parameter α and volume fraction of nanoparticles ϕ on velocity proﬁle, entropy generation, Bejan number and the rate of heat transfer are exhibited in tabular form. Finally, the graphs are plotted for different types of nanoparticles and base ﬂuids and discussed physically. Moreover, from present solutions, the well-known published results are recovered to validate the obtained results. Keywords Fractionalized nanoﬂuids · Entropy generation · Bejan number · Caputo time-fractional derivatives · Exact solutions List of symbols q Laplace transforms parameter ν
Arabian Journal for Science and Engineering – Springer Journals
Published: Jun 4, 2018
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