Entropy Production in Electroosmotic Cilia Facilitated Stream of Thermally Radiated Nanofluid with Ohmic Heating

No thermal process, even the biological systems, can escape from the long arms of the second law. All living things preserve entropy since they obtain energy from the nutrition they consume and gain order by producing disorder. The entropy generation in a biological and thermally isolated system is...

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Main Authors: Najma Saleem, Sufian Munawar, Ahmer Mehmood, Ibtisam Daqqa
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Micromachines
Subjects:
Online Access:https://www.mdpi.com/2072-666X/12/9/1004
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spelling doaj-9ed01bf6b2e74dac93caac199419662f2021-09-26T00:42:22ZengMDPI AGMicromachines2072-666X2021-08-01121004100410.3390/mi12091004Entropy Production in Electroosmotic Cilia Facilitated Stream of Thermally Radiated Nanofluid with Ohmic HeatingNajma Saleem0Sufian Munawar1Ahmer Mehmood2Ibtisam Daqqa3Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, Khobar 31952, Saudi ArabiaDepartment of Quantitative Methods, College of Business Administration, Imam Abdulrahman Bin Faisal University, P.O. Box 1982, Dammam 34212, Saudi ArabiaDepartment of Mathematics and Statistics, FBAS, International Islamic University, Islamabad 44000, PakistanDepartment of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, Khobar 31952, Saudi ArabiaNo thermal process, even the biological systems, can escape from the long arms of the second law. All living things preserve entropy since they obtain energy from the nutrition they consume and gain order by producing disorder. The entropy generation in a biological and thermally isolated system is the main subject of current investigation. The aim is to examine the entropy generation during the convective transport of a ciliated nano-liquid in a micro-channel under the effect of a uniform magnetic field. Joint effects of electroosmosis and thermal radiation are also brought into consideration. To attain mathematical simplicity, the governing equations are transformed to wave frame where the inertial parts of the transport equations are dropped with the use of a long-wavelength approximation. This finally produces the governing equations in the form of ordinary differential equations which are solved numerically by a shooting technique. The analysis reports that the cilia motion contributes to enhance the flow and heat transfer phenomena. An enhancement in the flow is observed near the channel surface for higher cilia length and for smaller values of the electroosmotic parameter. The entropy generation in the ciliated channel is observed to be lessened by intensifying the thermal radiation and decreasing the Ohmic heating. The extended and flexible cilia structure contributes to augment the volumetric flow rate and to drop the total entropy generation in the channel.https://www.mdpi.com/2072-666X/12/9/1004entropy analysiselectroosmotic ciliary flowthermal radiationmagnetic fieldJoule heatingCarreau nanofluid
collection DOAJ
language English
format Article
sources DOAJ
author Najma Saleem
Sufian Munawar
Ahmer Mehmood
Ibtisam Daqqa
spellingShingle Najma Saleem
Sufian Munawar
Ahmer Mehmood
Ibtisam Daqqa
Entropy Production in Electroosmotic Cilia Facilitated Stream of Thermally Radiated Nanofluid with Ohmic Heating
Micromachines
entropy analysis
electroosmotic ciliary flow
thermal radiation
magnetic field
Joule heating
Carreau nanofluid
author_facet Najma Saleem
Sufian Munawar
Ahmer Mehmood
Ibtisam Daqqa
author_sort Najma Saleem
title Entropy Production in Electroosmotic Cilia Facilitated Stream of Thermally Radiated Nanofluid with Ohmic Heating
title_short Entropy Production in Electroosmotic Cilia Facilitated Stream of Thermally Radiated Nanofluid with Ohmic Heating
title_full Entropy Production in Electroosmotic Cilia Facilitated Stream of Thermally Radiated Nanofluid with Ohmic Heating
title_fullStr Entropy Production in Electroosmotic Cilia Facilitated Stream of Thermally Radiated Nanofluid with Ohmic Heating
title_full_unstemmed Entropy Production in Electroosmotic Cilia Facilitated Stream of Thermally Radiated Nanofluid with Ohmic Heating
title_sort entropy production in electroosmotic cilia facilitated stream of thermally radiated nanofluid with ohmic heating
publisher MDPI AG
series Micromachines
issn 2072-666X
publishDate 2021-08-01
description No thermal process, even the biological systems, can escape from the long arms of the second law. All living things preserve entropy since they obtain energy from the nutrition they consume and gain order by producing disorder. The entropy generation in a biological and thermally isolated system is the main subject of current investigation. The aim is to examine the entropy generation during the convective transport of a ciliated nano-liquid in a micro-channel under the effect of a uniform magnetic field. Joint effects of electroosmosis and thermal radiation are also brought into consideration. To attain mathematical simplicity, the governing equations are transformed to wave frame where the inertial parts of the transport equations are dropped with the use of a long-wavelength approximation. This finally produces the governing equations in the form of ordinary differential equations which are solved numerically by a shooting technique. The analysis reports that the cilia motion contributes to enhance the flow and heat transfer phenomena. An enhancement in the flow is observed near the channel surface for higher cilia length and for smaller values of the electroosmotic parameter. The entropy generation in the ciliated channel is observed to be lessened by intensifying the thermal radiation and decreasing the Ohmic heating. The extended and flexible cilia structure contributes to augment the volumetric flow rate and to drop the total entropy generation in the channel.
topic entropy analysis
electroosmotic ciliary flow
thermal radiation
magnetic field
Joule heating
Carreau nanofluid
url https://www.mdpi.com/2072-666X/12/9/1004
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AT ahmermehmood entropyproductioninelectroosmoticciliafacilitatedstreamofthermallyradiatednanofluidwithohmicheating
AT ibtisamdaqqa entropyproductioninelectroosmoticciliafacilitatedstreamofthermallyradiatednanofluidwithohmicheating
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