Entropy Generation in Different Types of Fractionalized Nanofluids

Entropy Generation in Different Types of Fractionalized Nanofluids 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 http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Arabian Journal for Science and Engineering Springer Journals

Entropy Generation in Different Types of Fractionalized Nanofluids

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Publisher
Springer Berlin Heidelberg
Copyright
Copyright © 2018 by King Fahd University of Petroleum & Minerals
Subject
Engineering; Engineering, general; Science, Humanities and Social Sciences, multidisciplinary
ISSN
1319-8025
eISSN
2191-4281
D.O.I.
10.1007/s13369-018-3342-8
Publisher site
See Article on Publisher Site

Abstract

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

Journal

Arabian Journal for Science and EngineeringSpringer Journals

Published: Jun 4, 2018

References

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