Abstract
This paper investigates the effect of couple stresses on the entropy generation rate of an incompressible viscous fluid through a porous channel with convective heating at the walls. Semi-analytical solutions of the dimensionless momentum and energy equations are obtained using the rapidly convergent modified Adomian decomposition method. The approximate solutions are used to compute the entropy generation numbers, irreversibility distribution ratio and the Bejan number in the flow field. The effects of various flow parameters on the velocity and temperature are discussed and shown graphically.
This is a preview of subscription content, access via your institution.



















References
Adesanya SO, Makinde OD (2013) Entropy generation in couple stress fluid flow through porous channel with fluid slippage. Int J Exergy (in press)
Adesanya SO, Makinde OD (2012) Heat transfer to magnetohydrodynamic non-Newtonian couple stress pulsatile flow between two parallel porous plates. Z Naturforsch 67a:647–656
Adesanya SO, Ayeni RO (2011) Existence and uniqueness result for couple stress bio-fluid flow model via Adomian decomposition method. Int J Nonlinear Sci 12:16–24
Adesanya SO (2012) Steady magnetohydrodynamics visco-elastic heat generating/absorbing slip flow with thermal radiation through a porous medium. Int J Heat Technol 30:69–74
Aziz A, Makinde OD (2010) Analysis of entropy generation and thermal stability in a slab. J Thermophys Heat Transfer 24:438–444
Chen S, Zheng C (2010) Entropy generation in impinging flow confined by planar opposing jets. Int J Therm Sci 49:2067–2075
Chen S, Liu Z, Liu J, Li J, Wang L, Zheng C (2010) Analysis of entropy generation in hydrogenenriched ultra-lean counter-flow methane-air non-premixed combustion. Int J Hydrogen Energy 35:12491–12501
Chen S, Du R (2011) Entropy generation of turbulent double-diffusive natural convection in a rectangle cavity. Energy 36:1721–1734
Eldabe NTM, Hassan A A, Mohamed MAA (2003) Effect of couple stresses on the MHD of a non-Newtonian unsteady flow between two parallel porous plates. Z Naturforsch 58a:204–210
Makinde OD, Osalusi E (2006) Entropy generation in a liquid film falling along an incline d porous heated plate. Mech Res Commun 33:692–698
Makinde OD (2008) Entropy-generation analysis for variable-viscosity channel flow with non-uniform wall temperature. Appl Energy 85:384–393
Makinde OD (2008) Irreversibility analysis of variable viscosity channel flow with convective cooling at the walls. Can J Phys 86:383–389
Makinde OD (2010) Thermodynamic second law analysis for a gravity-driven variable viscosity liquid film along an inclined heated plate with convective cooling. J Mech Sci Technol 24(4):899–908
Makinde OD (2011) Second law analysis for variable viscosity hydromagnetic boundary layer flow with thermal radiation and Newtonian heating. Entropy 13:1446–1464
Makinde OD, Eegunjobi AS (2013) Effects of convective heating on entropy generation rate in a channel with permeable walls. Entropy 15:220–233
Makinde OD, Maserumule RL (2008) Thermal criticality and entropy analysis for a variable viscosity Couette flow. Phys Scr 78(015402):6
Srinivasacharya D, Srinivasacharyulu ND, Odelu O (2010) Flow of couple stress fluid between two parallel porous plates. IAENG Int J Appl Math 41: 41
Srinivasacharya D, Srikanth D (2008) Effect of couple stresses on the pulsatile flow through a constricted annulus C. R Mecanique 336:820–827
Srinivasacharya D, Kaladhar K (2012) Mixed convection flow of couple stress fluid between parallel vertical plates with Hall and Ion-slip effects. Commun Nonlinear Sci Numer Simulat 17:2447–2462
Wazwaz AM (2000) A new algorithm for calculating Adomian polynomials for nonlinear operators. Appl Math Comput 111:53–69
Wazwaz AM, El-Sayed A (2001) New modification of Adomian decomposition method for linear and non-linear operators. Appl Math Comput 122:393–405
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by Oleg M. Alifanov.
Rights and permissions
About this article
Cite this article
Adesanya, S.O., Makinde, O.D. Effects of couple stresses on entropy generation rate in a porous channel with convective heating. Comp. Appl. Math. 34, 293–307 (2015). https://doi.org/10.1007/s40314-014-0117-z
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40314-014-0117-z
Keywords
- Couple stresses
- Entropy generation
- Convective heating
- Porous channel
- mADM
Mathematics Subject Classification
- 76D05
- 35Q30