Entropy analysis of unsteady magneto-nanofluid flow past accelerating stretching sheet with convective boundary condition
The unsteady laminar magnetohydrodynamics （MHD） boundary layer flow and heat transfer of nanofluids over an accelerating convectively heated stretching sheet are numerically studied in the presence of a transverse magnetic field with heat source/sink The unsteady governing equations are solved by a...
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| Published in: | Applied mathematics and mechanics Vol. 36; no. 12; pp. 1593 - 1610 |
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| Main Authors: | , , , |
| Format: | Journal Article |
| Language: | English |
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Shanghai
Shanghai University
01-12-2015
Department of Mathematics, University of Gour Banga, Maida 732103, India%Department of Applied Mathematics, Vidyasagar University, Midnapore 721102, India%Faculty of Military Science, Stellenbosch University, Saldanha 7395, South Africa |
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| Abstract | The unsteady laminar magnetohydrodynamics （MHD） boundary layer flow and heat transfer of nanofluids over an accelerating convectively heated stretching sheet are numerically studied in the presence of a transverse magnetic field with heat source/sink The unsteady governing equations are solved by a shooting method with the Runge-Kutta- Fehlberg scheme. Three different types of water based nanofluids, containing copper, aluminium oxide, and titanium dioxide, are taken into consideration. The effects of the pertinent parameters on the fluid velocity, the temperature, the entropy generation num- ber, the Bejan number, the shear stress, and the heat transfer rate at the sheet surface are graphically and quantitatively discussed in detail. A comparison of the entropy generation due to the heat transfer and the fluid friction is made with the help of the Bejan number. It is observed that the presence of the metallic nanoparticles creates more entropy in the nanofluid flow than in the regular fluid flow. |
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| AbstractList | The unsteady laminar magnetohydrodynamics (MHD) boundary layer flow and heat transfer of nanofluids over an accelerating convectively heated stretching sheet are numerically studied in the presence of a transverse magnetic field with heat source/sink. The unsteady governing equations are solved by a shooting method with the Runge-Kutta-Fehlberg scheme. Three different types of water based nanofluids, containing copper, aluminium oxide, and titanium dioxide, are taken into consideration. The effects of the pertinent parameters on the fluid velocity, the temperature, the entropy generation number, the Bejan number, the shear stress, and the heat transfer rate at the sheet surface are graphically and quantitatively discussed in detail. A comparison of the entropy generation due to the heat transfer and the fluid friction is made with the help of the Bejan number. It is observed that the presence of the metallic nanoparticles creates more entropy in the nanofluid flow than in the regular fluid flow. The unsteady laminar magnetohydrodynamics （MHD） boundary layer flow and heat transfer of nanofluids over an accelerating convectively heated stretching sheet are numerically studied in the presence of a transverse magnetic field with heat source/sink The unsteady governing equations are solved by a shooting method with the Runge-Kutta- Fehlberg scheme. Three different types of water based nanofluids, containing copper, aluminium oxide, and titanium dioxide, are taken into consideration. The effects of the pertinent parameters on the fluid velocity, the temperature, the entropy generation num- ber, the Bejan number, the shear stress, and the heat transfer rate at the sheet surface are graphically and quantitatively discussed in detail. A comparison of the entropy generation due to the heat transfer and the fluid friction is made with the help of the Bejan number. It is observed that the presence of the metallic nanoparticles creates more entropy in the nanofluid flow than in the regular fluid flow. |
| Author | S. DAS S. CHAKRABORTY R. N. JANA O. D. MAKINDE |
| AuthorAffiliation | Department of Mathematics, University of Gour Banga, Malda 732103, India Department of Applied Mathematics, Vidyasagar University, Midnapore 721102, India Faculty of Military Science, Stellenbosch University, Saldanha 7395, South Africa |
| AuthorAffiliation_xml | – name: Department of Mathematics, University of Gour Banga, Maida 732103, India%Department of Applied Mathematics, Vidyasagar University, Midnapore 721102, India%Faculty of Military Science, Stellenbosch University, Saldanha 7395, South Africa |
| Author_xml | – sequence: 1 givenname: S. surname: Das fullname: Das, S. email: tutusanasd@yahoo.co.in organization: Department of Mathematics, University of Gour Banga – sequence: 2 givenname: S. surname: Chakraborty fullname: Chakraborty, S. organization: Department of Mathematics, University of Gour Banga – sequence: 3 givenname: R. N. surname: Jana fullname: Jana, R. N. organization: Department of Applied Mathematics, Vidyasagar University – sequence: 4 givenname: O. D. surname: Makinde fullname: Makinde, O. D. organization: Faculty of Military Science, Stellenbosch University |
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| Copyright | Shanghai University and Springer-Verlag Berlin Heidelberg 2015 Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
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| Keywords | O345 74F05 65Z05 nanofluid unsteady MHD flow heat source/sink TD953 Bejan number entropy generation 76W05 |
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| Notes | The unsteady laminar magnetohydrodynamics （MHD） boundary layer flow and heat transfer of nanofluids over an accelerating convectively heated stretching sheet are numerically studied in the presence of a transverse magnetic field with heat source/sink The unsteady governing equations are solved by a shooting method with the Runge-Kutta- Fehlberg scheme. Three different types of water based nanofluids, containing copper, aluminium oxide, and titanium dioxide, are taken into consideration. The effects of the pertinent parameters on the fluid velocity, the temperature, the entropy generation num- ber, the Bejan number, the shear stress, and the heat transfer rate at the sheet surface are graphically and quantitatively discussed in detail. A comparison of the entropy generation due to the heat transfer and the fluid friction is made with the help of the Bejan number. It is observed that the presence of the metallic nanoparticles creates more entropy in the nanofluid flow than in the regular fluid flow. unsteady MHD flow, nanofluid, heat source/sink, entropy generation, Bejan number 31-1650/O1 ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
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| PublicationCentury | 2000 |
| PublicationDate | 2015-12-01 |
| PublicationDateYYYYMMDD | 2015-12-01 |
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| PublicationPlace | Shanghai |
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| PublicationSubtitle | English Edition |
| PublicationTitle | Applied mathematics and mechanics |
| PublicationTitleAbbrev | Appl. Math. Mech.-Engl. Ed |
| PublicationTitleAlternate | Applied Mathematics and Mechanics（English Edition） |
| PublicationTitle_FL | Applied Mathematics and Mechanics |
| PublicationYear | 2015 |
| Publisher | Shanghai University Department of Mathematics, University of Gour Banga, Maida 732103, India%Department of Applied Mathematics, Vidyasagar University, Midnapore 721102, India%Faculty of Military Science, Stellenbosch University, Saldanha 7395, South Africa |
| Publisher_xml | – name: Shanghai University – name: Department of Mathematics, University of Gour Banga, Maida 732103, India%Department of Applied Mathematics, Vidyasagar University, Midnapore 721102, India%Faculty of Military Science, Stellenbosch University, Saldanha 7395, South Africa |
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| Snippet | The unsteady laminar magnetohydrodynamics （MHD） boundary layer flow and heat transfer of nanofluids over an accelerating convectively heated stretching sheet... The unsteady laminar magnetohydrodynamics (MHD) boundary layer flow and heat transfer of nanofluids over an accelerating convectively heated stretching sheet... |
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| SubjectTerms | Applications of Mathematics Be-jan BOUNDARIES Classical Mechanics Computational fluid dynamics CONVECTION ENTROPY flow FLUID FLOW Fluid- and Aerodynamics FLUIDITY generationj heat Heat transfer MAGNETOHYDRODYNAMICS MATHEMATICAL ANALYSIS Mathematical Modeling and Industrial Mathematics Mathematical models Mathematics Mathematics and Statistics MHD nanofluid Nanofluids number Partial Differential Equations source／sink Unsteady |
| Title | Entropy analysis of unsteady magneto-nanofluid flow past accelerating stretching sheet with convective boundary condition |
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