Entropy Generation in a Dissipative Nanofluid Flow under the Influence of Magnetic Dissipation and Transpiration

Dianchen Lu, Muhammad Idrees Afridi, Usman Allauddin, Umer Farooq and Muhammad Qasim
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Dianchen Lu: Department of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang 212013, China
Muhammad Idrees Afridi: Department of Computing, Abasyn University, Islamabad 45710, Pakistan
Usman Allauddin: Department of Mechanical Engineering, NED University of Engineering & Technology, Karachi 75270, Pakistan
Umer Farooq: Department of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang 212013, China
Muhammad Qasim: Department of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang 212013, China

Energies, 2020, vol. 13, issue 20, 1-16

Abstract: The present study explores the entropy generation, flow, and heat transfer characteristics of a dissipative nanofluid in the presence of transpiration effects at the boundary. The non-isothermal boundary conditions are taken into consideration to guarantee self-similar solutions. The electrically conducting nanofluid flow is influenced by a magnetic field of constant strength. The ultrafine particles (nanoparticles of Fe 3 O 4 / CuO ) are dispersed in the technological fluid water ( H 2 O ). Both the base fluid and the nanofluid have the same bulk velocity and are assumed to be in thermal equilibrium. Tiwari and Dass’s idea is used for the mathematical modeling of the problem. Furthermore, the ultrafine particles are supposed to be spherical, and Maxwell Garnett’s model is used for the effective thermal conductivity of the nanofluid. Closed-form solutions are derived for boundary layer momentum and energy equations. These solutions are then utilized to access the entropy generation and the irreversibility parameter. The relative importance of different sources of entropy generation in the boundary layer is discussed through various graphs. The effects of space free physical parameters such as mass suction parameter ( S ) , viscous dissipation parameter ( E c ) , magnetic heating parameter ( M ) , and solid volume fraction ( ? ) of the ultrafine particles on the velocity, Bejan number, temperature, and entropy generation are elaborated through various graphs. It is found that the parabolic wall temperature facilitates similarity transformations so that self-similar equations can be achieved in the presence of viscous dissipation. It is observed that the entropy generation number is an increasing function of the Eckert number and solid volume fraction. The entropy production rate in the Fe 3 O 4 − H 2 O nanofluid is higher than that in the CuO − H 2 O nanofluid under the same circumstances.

Keywords: nanofluid; heat transfer; entropy generation; viscous dissipation; magnetic heating (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2020
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