Second-law analysis for buoyancy-driven hydromagnetic couple stress fluid flow through a porous channel

Semiu O. Kareem; Samuel O. Adesanya; Uchechukwu E. Vincent

doi:10.1016/j.crme.2016.03.003

Second-law analysis for buoyancy-driven hydromagnetic couple stress fluid flow through a porous channel

Semiu O. Kareem ¹ ; Samuel O. Adesanya ² ; Uchechukwu E. Vincent ^1,³

¹ Department of Physical Sciences, Redeemer's University, Ede, Nigeria
² Department of Mathematical Sciences, Redeemer's University, Ede, Nigeria
³ Department of Physics, Lancaster University, Lancaster LA1 4YB, United Kingdom

Comptes Rendus. Mécanique, Volume 344 (2016) no. 8, pp. 547-555.

Résumé

This paper examines the combined effects of the buoyancy force and of the magnetic field on the entropy generation rate in the flow of a couple stress fluid through a porous vertical channel. The flow's dynamical equations were non-dimensionalised and solved via the application of the Adomian decomposition method (ADM). Variations of some thermo-physical parameters were conducted and discussed, with regard to the physics of the fluid. Our result shows that the entropy generation rate increases as the buoyancy increases in the fluid. In addition, the irreversibility in the flow system results mainly from the fluid's viscosity, ohmic heating, and the buoyancy.

Reçu le : 2016-01-19
Accepté le : 2016-03-10
Publié le : 2016-05-06

DOI : 10.1016/j.crme.2016.03.003

Mots clés : Magnetic field, Buoyancy force, Entropy generation, Slip flow, Irreversibility ratio, ADM

Affiliations des auteurs :

Semiu O. Kareem ¹ ; Samuel O. Adesanya ² ; Uchechukwu E. Vincent ^{1, 3}

@article{CRMECA_2016__344_8_547_0,
     author = {Semiu O. Kareem and Samuel O. Adesanya and Uchechukwu E. Vincent},
     title = {Second-law analysis for buoyancy-driven hydromagnetic couple stress fluid flow through a porous channel},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {547--555},
     publisher = {Elsevier},
     volume = {344},
     number = {8},
     year = {2016},
     doi = {10.1016/j.crme.2016.03.003},
     language = {en},
}

TY  - JOUR
AU  - Semiu O. Kareem
AU  - Samuel O. Adesanya
AU  - Uchechukwu E. Vincent
TI  - Second-law analysis for buoyancy-driven hydromagnetic couple stress fluid flow through a porous channel
JO  - Comptes Rendus. Mécanique
PY  - 2016
SP  - 547
EP  - 555
VL  - 344
IS  - 8
PB  - Elsevier
DO  - 10.1016/j.crme.2016.03.003
LA  - en
ID  - CRMECA_2016__344_8_547_0
ER  -

%0 Journal Article
%A Semiu O. Kareem
%A Samuel O. Adesanya
%A Uchechukwu E. Vincent
%T Second-law analysis for buoyancy-driven hydromagnetic couple stress fluid flow through a porous channel
%J Comptes Rendus. Mécanique
%D 2016
%P 547-555
%V 344
%N 8
%I Elsevier
%R 10.1016/j.crme.2016.03.003
%G en
%F CRMECA_2016__344_8_547_0

Semiu O. Kareem; Samuel O. Adesanya; Uchechukwu E. Vincent. Second-law analysis for buoyancy-driven hydromagnetic couple stress fluid flow through a porous channel. Comptes Rendus. Mécanique, Volume 344 (2016) no. 8, pp. 547-555. doi : 10.1016/j.crme.2016.03.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2016.03.003/

Bibliographie
Cité par

[1] S.O. Adesanya; O.D. Makinde Entropy generation in couple stress fluid flow through porous channel with fluid slippage, Exergy, Volume 15 (2014) no. 3, pp. 344-362

[2] S. Das; A.S. Banu; R.N. Jana; O.D. Makinde Entropy analysis on MHD pseudo-plastic nanofluid flow through a vertical porous channel with convective heating, Alex. Eng. J., Volume 54 (2015) no. 3, pp. 325-337

[3] S.O. Adesanya; O.D. Makinde Effects of couple stresses on entropy generation rate in a porous channel with convective heating, Comput. Appl. Math., Volume 34 (2015), pp. 293-307

[4] A.S. Eegunjobi; O.D. Makinde Combined effect of buoyancy force and Navier slip on entropy generation in a vertical porous channel, Entropy, Volume 14 (2012), pp. 1028-1044

[5] O.D. Makinde; A.S. Eegunjobi Entropy generation in a couple stress fluid flow through a vertical channel filled with saturated porous media, Entropy, Volume 15 (2013) no. 11, pp. 4589-4606

[6] J.A. Esfahani; M. Modirkhazeni Entropy generation of forced convection film condensation on a horizontal elliptical tube, C. R. Mecanique, Volume 340 (2012) no. 7, pp. 543-551

[7] Y. Wang; Z. Chen; X. Ling Entropy generation analysis of particle suspension induced by Couette flow, Int. J. Heat Mass Transf., Volume 90 (2015), pp. 499-504

[8] S.O. Adesanya; O.D. Makinde Thermodynamic analysis for a third grade fluid through a vertical channel with internal heat generation, J. Hydrodyn., Volume 27 (2015) no. 2, pp. 264-272

[9] S.O. Adesanya; O.D. Makinde Irreversibility analysis in a couple stress film flow along an inclined heated plate with adiabatic free surface, Physica A, Volume 432 (2015), pp. 222-229

[10] S.O. Adesanya; S.O. Kareem; J.A. Falade; S.A. Arekete Entropy generation analysis for a reactive couple stress fluid flow through a channel saturated with porous material, Energy, Volume 93 (2015) no. 1, pp. 1239-1245

[11] S.O. Adesanya; J.A. Falade Thermodynamics analysis of hydromagnetic third grade fluid flow through a channel filled with porous medium, Alex. Eng. J., Volume 54 (2015) no. 3, pp. 615-622

[12] S. Das; R.N. Jana Effect of hall current on entropy generation in porous channel with suction/injection, Int. J. Energy Technol., Volume 5 (2013) no. 25, pp. 1-11

[13] C.K. Chen; B.S. Chen; C.C. Liu Entropy generation in mixed convection magnetohydrodynamic nanofluid flow in vertical channel, Int. J. Heat Mass Transf., Volume 91 (2015), pp. 1026-1033

[14] N. Saeid Magnetic field effects on entropy generation in heat and mass transfer in porous cavity, Acad. J., Volume 8 (2013) no. 17, pp. 728-739

[15] M. Magherbi; A. El-Jery; N. Hidouri; A.B. Brahim Evanescent magnetic field effects on entropy generation at the on set of natural convection, Indian Acad. J., Volume 35 (2010) no. 2, pp. 163-176

[16] A. El-Jery; N. Hidouri; M. Magherbi; A.B. Brahim Effect of external oriented magnetic field on entropy generation in natural convection, Entropy, Volume 12 (2010), pp. 1391-1417

[17] S. Salas; S. Cuevas; M.L. Haro Entropy analysis of magnetohydrodynamic induction devices, J. Phys. D, Appl. Phys., Volume 32 (1999), pp. 2605-2608

[18] S.H. Tasnim; M.A.H. Mahmud Entropy generation in a porous channel with hydromagnetic effects, Exergy, Volume 2 (2002), pp. 300-308

[19] S. Mahmud; S.H. Tasnim; H.A.A. Mamun Thermodynamics analysis of mixed convection in a channel with transverse hydromagnetic effect, Int. J. Therm. Sci., Volume 42 (2003) no. 731–740

[20] D. Theuri; O.D. Makinde Themodynamic analysis of variable viscosity MHD unsteady generalized Coutte flow with permeable walls, Appl. Comput. Math., Volume 3 (2014) no. 1, pp. 1-8

[21] O. Mahian; H.F. Oztop; I. Pop; S. Mahmud; S. Wongwises Design of vertical annulus with MHD flow using entropy generation analysis, Therm. Sci., Volume 17 (2013) no. 4, pp. 1013-1022

[22] N. Riley Magnetohydrodynamics free convection, J. Fluid Mech., Volume 18 (1964), pp. 577-586

[23] T. Alboussière; J.P. Garandet; R. Moreau Buoyancy-driven convection with a uniform magnetic field, part 1: asymptotic analysis, J. Fluid Mech., Volume 253 (1983), pp. 545-563

[24] O.D. Makinde; T. Chinyoka Numerical investigation of buoyancy effects on hydromagnetic unsteady flow through a porous channel with suction/injection, J. Mech. Sci. Technol., Volume 27 (2013) no. 5, pp. 1557-1568

[25] K. Kaladhar Natural convection flow of couple stress fluid in vertical channel with hall and Joule effects, Proc. Eng., Volume 127 (2015), pp. 1071-1078

[26] G. Adomian Solving Frontier Problems of Physics: The Decomposition Method, Kluwer Academic Publishers, Dordrecht, 1994

[27] J.S. Duan; R. Rach A new modification of the Adomian decomposition method for solving boundary value problems for higher order nonlinear differential equations, Appl. Math. Comput., Volume 218 (2011), pp. 4090-4118

[28] W.M. Macek; M. Strumik Model for hydromagnetic convection in a magnetized fluid, Phys. Rev. E, Volume 82 (2010) no. 4

Cité par Sources :

Commentaires - Politique