Irreversibility investigation of Casson fluid flow in an inclined channel subject to a Darcy-Forchheimer porous medium: a numerical study
The heat transfer and entropy generation characteristics of the magnetohydrodynamic Casson fluid flow through an inclined microchannel with convective boundary conditions are analyzed. Further, the effects of the viscous forces, Joule heating, heat source/sink, and radiation on the flow are taken in...
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| Published in | Applied mathematics and mechanics Vol. 42; no. 1; pp. 95 - 108 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Shanghai
Shanghai University
01.01.2021
Springer Nature B.V Department of PG Studies and Research in Mathematics,Kuvempu University,Shankaraghatta,Shimoga 577451,Karnataka,India |
| Edition | English ed. |
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| Abstract | The heat transfer and entropy generation characteristics of the magnetohydrodynamic Casson fluid flow through an inclined microchannel with convective boundary conditions are analyzed. Further, the effects of the viscous forces, Joule heating, heat source/sink, and radiation on the flow are taken into account. The non-dimensional transformations are used to solve the governing equations. Then, the reduced system is resolved by the fourth-fifth order Runge-Kutta-Fehlberg method along with the shooting technique. The effects of different physical parameters on the heat transfer and entropy generation are discussed in detail through graphs. From the perspective of numerical results, it is recognized that the production of entropy can be improved with the Joule heating, viscous dissipation, and convective heating aspects. It is concluded that the production of entropy is the maximum with increases in the Casson parameter, the angle of inclination, and the Hartmann number. Both the Reynolds number and the radiation parameter cause the dual impact on entropy generation. |
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| AbstractList | The heat transfer and entropy generation characteristics of the magnetohydrodynamic Casson fluid flow through an inclined microchannel with convective boundary conditions are analyzed. Further, the effects of the viscous forces, Joule heating, heat source/sink, and radiation on the flow are taken into account. The non-dimensional transformations are used to solve the governing equations. Then, the reduced system is resolved by the fourth-fifth order Runge-Kutta-Fehlberg method along with the shooting technique. The effects of different physical parameters on the heat transfer and entropy generation are discussed in detail through graphs. From the perspective of numerical results, it is recognized that the production of entropy can be improved with the Joule heating, viscous dissipation, and convective heating aspects. It is concluded that the production of entropy is the maximum with increases in the Casson parameter, the angle of inclination, and the Hartmann number. Both the Reynolds number and the radiation parameter cause the dual impact on entropy generation. O361; The heat transfer and entropy generation characteristics of the magnetohy-drodynamic Casson fluid flow through an inclined microchannel with convective bound-ary conditions are analyzed.Further,the effects of the viscous forces,Joule heating,heat source/sink,and radiation on the flow are taken into account.The non-dimensional transformations are used to solve the governing equations.Then,the reduced system is resolved by the fourth-fifth order Runge-Kutta-Fehlberg method along with the shooting technique.The effects of different physical parameters on the heat transfer and entropy generation are discussed in detail through graphs.From the perspective of numerical results,it is recognized that the production of entropy can be improved with the Joule heating,viscous dissipation,and convective heating aspects.It is concluded that the production of entropy is the maximum with increases in the Casson parameter,the angle of inclination,and the Hartmann number.Both the Reynolds number and the radiation parameter cause the dual impact on entropy generation. |
| Author | Roja, A. Nagaraja, B. Gireesha, B. J. |
| AuthorAffiliation | Department of PG Studies and Research in Mathematics,Kuvempu University,Shankaraghatta,Shimoga 577451,Karnataka,India |
| AuthorAffiliation_xml | – name: Department of PG Studies and Research in Mathematics,Kuvempu University,Shankaraghatta,Shimoga 577451,Karnataka,India |
| Author_xml | – sequence: 1 givenname: A. surname: Roja fullname: Roja, A. organization: Department of PG Studies and Research in Mathematics, Kuvempu University – sequence: 2 givenname: B. J. surname: Gireesha fullname: Gireesha, B. J. email: bjgireesu@rediffmail.com organization: Department of PG Studies and Research in Mathematics, Kuvempu University – sequence: 3 givenname: B. surname: Nagaraja fullname: Nagaraja, B. organization: Department of PG Studies and Research in Mathematics, Kuvempu University |
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| Cites_doi | 10.3390/e6050413 10.1007/s00231-007-0231-1 10.1166/jon.2018.1530 10.1016/j.jnnfm.2013.03.003 10.2514/1.T4372 10.1007/s13369-012-0205-6 10.4028/www.scientific.net/DDF.377.84 10.1007/s40430-016-0578-7 10.1007/s12206-012-0701-3 10.1016/j.ijheatmasstransfer.2016.10.126 10.1615/JPorMedia.v19.i9.40 10.1186/s13661-015-0506-2 10.1016/j.jcis.2017.03.024 10.1016/j.ces.2016.04.006 10.4028/www.scientific.net/DF.16.120 10.1088/0031-8949/78/04/045401 10.3390/e15062081 10.1016/S1164-0235(02)00062-6 10.1080/10407782.2014.937282 10.4028/www.scientific.net/DDF.374.47 |
| ClassificationCodes | O361 |
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| References | MakindeO DEegunjobiA SEntropy analysis of thermally radiating magnetohydrodynamic slip flow of Casson fluid in a microchannel filled with saturated porous mediaJournal of Porous Media20161979981010.1615/JPorMedia.v19.i9.40 ErbayL BYalcinM MErcanM SEntropy generation in parallel plate microchannelsHeat and Mass Transfer20074384910.1007/s00231-007-0231-1 LopezAIbanezGPantojaJMoreiraJLastresOEntropy generation analysis of MHD nanofluid flow in a porous vertical microchannel with nonlinear thermal radiation, slip flow and convective-radiative boundary conditionsJournal of Heat and Mass Transfer201710798299410.1016/j.ijheatmasstransfer.2016.10.126 SHAW, S., KAMESWARAN, P. K., and SIBANDA, P. Effects of slip on nonlinear convection in nanofluid flow on stretching surfaces. Boundary Value Problems (2016) https://doi.org/10.1186/s13661-015-0506-2 KHAN, M. I., WAQAS, M., HAYAT, T., and ALSAEDI, A. Colloidal study of Casson fluid with homogeneous-heterogeneous reactions. Journal of Colloid and Interface Science, 498 (2017) https://doi.org/10.1016/j.jcis.2017.03.024 ChinyokaTMakindeO DAnalysis of entropy generation rate in an unsteady porous channel flow with Navier slip and convective coolingEntropy201315620812099307992010.3390/e15062081 AbbaszadehMAbabaeiAAraniA A ASharifabadiA AMHD forced convection and entropy generation of CuO-water nanofluid in a microchannel considering slip velocity and temperature jumpJournal of Brazilian Society of Mechanical Science and Engineering20173977579010.1007/s40430-016-0578-7 VyasPSoniSEntropy analysis for MHD Casson fluid flow in a channel subjected to weakly temperature dependent convection and hydrodynamic slipJournal of Rajasthan Academy of Physical Sciences201615111835402531360.35199 NgC OCombined pressure-driven and electroosmotic flow of Casson fluid through a slit microchannelJournal of Non-Newtonian Fluid Mechanics20131981910.1016/j.jnnfm.2013.03.003 YangY TWangY HHuangB YNumerical optimization for nanofluid flow in microchannel using entropy generation minimizationNumerical Heat Transfer, Part A: Application20156757158810.1080/10407782.2014.937282 SlimiKSaatiA AEntropy generation rate due to radiative transfer within a vertical channel filled with a semi-transparent porous mediumArabian Journal of Science and Engineering20123780382010.1007/s13369-012-0205-6 HavzaliMArikogluAKomurgozGKeserH IOzkolIAnalytical-numerical analysis of entropy generation for gravity-driven inclined channel flow with initial transition and entrance effectsPhysica Scripta200878404540110.1088/0031-8949/78/04/045401 EegunjobiA SMakindeO DMHD mixed convection slip flow of radiation Casson fluid with entropy generation in a channel filled with porous mediaDefect and Diffusion Forum2017374476610.4028/www.scientific.net/DDF.374.47 PassosA DChatzieleftheriouV AMouzaA AParasS VCasson fluid flow in a microchannel containing a flow disturbing ribChemical Engineering Science201614822923710.1016/j.ces.2016.04.006 DasSSarkarSJanaR NEntropy generation analysis of MHD slip flow of non-Newtonian Cu-Casson nanofluid in a porous microchannel filled with saturated porous medium considering thermal radiationJournal of Nanofluids2018761217123210.1166/jon.2018.1530 ShashikumarN SPrasannakumaraB CGireeshaB JMakindeO DThermodynamics analysis of MHD Casson fluid slip flow in a porous micro channel with thermal radiationDiffusion Foundations20191612013910.4028/www.scientific.net/DF.16.120 ShashikumarN SArchanaMPrasannakumaraB CGireeshaB JMakindeO DEffects of nonlinear thermal radiation and second order slip on Casson nanofluid flow between parallel platesDefect and Diffusion Forum2017377849410.4028/www.scientific.net/DDF.377.84 BejanAEntropy Generation Minimization: the Method of Thermodynamic Optimization of Finite-Size Systems and Finite-Time Processes1995New YorkCRC Press71104 DasSJanaR NEntropy generation in MHD porous channel flow under constant pressure gradientApplied Mathematical Physics201317889 UddinM JBegO AIsmailA IRadiative convective nanofluid flow past a stretching/shrinking sheet with slip effectsJournal of Thermophysical Heat Transfer20152951352310.2514/1.T4372 HaddadOAbuzaidaMAl-NimrMEntropy generation due to laminar incom-pressible forced convection flow through parallel plates microchannelEntropy20046541342610.3390/e6050413 MahmudSFraserR AThermodynamic analysis of flow and heat transfer inside channel with two parallel platesExergy, An International Journal20022314014610.1016/S1164-0235(02)00062-6 ButtA SMunawarSAliAMehmoodAEntropy generation in hydrodynamic slip flow over a vertical plate with convective boundaryJournal of Mechanical Science and Technology2012262977298410.1007/s12206-012-0701-3 2681_CR13 L B Erbay (2681_CR5) 2007; 43 2681_CR15 M Abbaszadeh (2681_CR11) 2017; 39 M Havzali (2681_CR4) 2008; 78 A Bejan (2681_CR1) 1995 O D Makinde (2681_CR20) 2016; 19 T Chinyoka (2681_CR7) 2013; 15 S Mahmud (2681_CR2) 2002; 2 N S Shashikumar (2681_CR23) 2019; 16 Y T Yang (2681_CR8) 2015; 67 M J Uddin (2681_CR12) 2015; 29 A D Passos (2681_CR19) 2016; 148 C O Ng (2681_CR17) 2013; 198 K Slimi (2681_CR9) 2012; 37 P Vyas (2681_CR16) 2016; 15 S Das (2681_CR10) 2013; 1 A S Eegunjobi (2681_CR18) 2017; 374 O Haddad (2681_CR3) 2004; 6 A S Butt (2681_CR6) 2012; 26 N S Shashikumar (2681_CR21) 2017; 377 A Lopez (2681_CR14) 2017; 107 S Das (2681_CR22) 2018; 7 |
| References_xml | – reference: LopezAIbanezGPantojaJMoreiraJLastresOEntropy generation analysis of MHD nanofluid flow in a porous vertical microchannel with nonlinear thermal radiation, slip flow and convective-radiative boundary conditionsJournal of Heat and Mass Transfer201710798299410.1016/j.ijheatmasstransfer.2016.10.126 – reference: ChinyokaTMakindeO DAnalysis of entropy generation rate in an unsteady porous channel flow with Navier slip and convective coolingEntropy201315620812099307992010.3390/e15062081 – reference: EegunjobiA SMakindeO DMHD mixed convection slip flow of radiation Casson fluid with entropy generation in a channel filled with porous mediaDefect and Diffusion Forum2017374476610.4028/www.scientific.net/DDF.374.47 – reference: NgC OCombined pressure-driven and electroosmotic flow of Casson fluid through a slit microchannelJournal of Non-Newtonian Fluid Mechanics20131981910.1016/j.jnnfm.2013.03.003 – reference: HavzaliMArikogluAKomurgozGKeserH IOzkolIAnalytical-numerical analysis of entropy generation for gravity-driven inclined channel flow with initial transition and entrance effectsPhysica Scripta200878404540110.1088/0031-8949/78/04/045401 – reference: ButtA SMunawarSAliAMehmoodAEntropy generation in hydrodynamic slip flow over a vertical plate with convective boundaryJournal of Mechanical Science and Technology2012262977298410.1007/s12206-012-0701-3 – reference: KHAN, M. I., WAQAS, M., HAYAT, T., and ALSAEDI, A. Colloidal study of Casson fluid with homogeneous-heterogeneous reactions. 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K., and SIBANDA, P. Effects of slip on nonlinear convection in nanofluid flow on stretching surfaces. 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| Snippet | The heat transfer and entropy generation characteristics of the magnetohydrodynamic Casson fluid flow through an inclined microchannel with convective boundary... O361; The heat transfer and entropy generation characteristics of the magnetohy-drodynamic Casson fluid flow through an inclined microchannel with convective... |
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| SubjectTerms | Applications of Mathematics Boundary conditions Classical Mechanics Computational fluid dynamics Entropy Fluid flow Fluid- and Aerodynamics Hartmann number Heat transfer Inclination angle Magnetohydrodynamics Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Microchannels Ohmic dissipation Parameters Partial Differential Equations Physical properties Porous media Resistance heating Reynolds number Runge-Kutta method |
| Title | Irreversibility investigation of Casson fluid flow in an inclined channel subject to a Darcy-Forchheimer porous medium: a numerical study |
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