This paper proposes a numerical analysis of entropy generation during mixed convection inside a porous Poiseuille–Benard channel flow, where the Darcy–Brinkman model is used. Irreversibilities due to heat transfer and viscous dissipation have been derived, and then calculated by numerically solving mass, momentum, and energy conservation equations, by using a control volume finite element method (CVFEM). For a fixed value of the thermal Rayleigh (Ra = 104) and the modified Brinkman (Br* = 10−3) numbers, transient entropy generation exhibits a periodic behavior for the medium porosity ε ≥ 0.2, which is described by the onset of thermoconvective cells inside the porous channel. Highest irreversibility is obtained at ε = 0.5. More details about the effects of the Darcy, the Rayleigh, and the modified Brinkman numbers on entropy generation and heat transfer are discussed and graphically presented.
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Second Law Analysis Through a Porous Poiseuille–Benard Channel Flow
Amel Tayari,
Amel Tayari
Chemical and Process Engineering Department,
National School of Engineers,
Gabès University,
Omar Ibn El Khattab Street,
Gabès 6029, Tunisia
e-mail: tayariamel@yahoo.fr
National School of Engineers,
Gabès University,
Omar Ibn El Khattab Street,
Gabès 6029, Tunisia
e-mail: tayariamel@yahoo.fr
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Nejib Hidouri,
Nejib Hidouri
Chemical and Process Engineering Department,
National School of Engineers,
Gabès University,
Omar Ibn El Khattab Street,
Gabès 6029, Tunisia
e-mail: n_hidouri@yahoo.com
National School of Engineers,
Gabès University,
Omar Ibn El Khattab Street,
Gabès 6029, Tunisia
e-mail: n_hidouri@yahoo.com
Search for other works by this author on:
Mourad Magherbi,
Mourad Magherbi
Civil Engineering Department,
Higher Institute of Applied
Sciences and Technology,
Gabès University,
Omar Ibn El Khattab Street,
Gabès 6029, Tunisia
e-mail: magherbim@yahoo.fr
Higher Institute of Applied
Sciences and Technology,
Gabès University,
Omar Ibn El Khattab Street,
Gabès 6029, Tunisia
e-mail: magherbim@yahoo.fr
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Ammar Ben Brahim
Ammar Ben Brahim
Chemical and Process Engineering Department,
National School of Engineers,
Gabès University,
Omar Ibn El Khattab Street,
Gabès 6029, Tunisia
e-mail: ammar.benbrahim@enig.rnu.tn
National School of Engineers,
Gabès University,
Omar Ibn El Khattab Street,
Gabès 6029, Tunisia
e-mail: ammar.benbrahim@enig.rnu.tn
Search for other works by this author on:
Amel Tayari
Chemical and Process Engineering Department,
National School of Engineers,
Gabès University,
Omar Ibn El Khattab Street,
Gabès 6029, Tunisia
e-mail: tayariamel@yahoo.fr
National School of Engineers,
Gabès University,
Omar Ibn El Khattab Street,
Gabès 6029, Tunisia
e-mail: tayariamel@yahoo.fr
Nejib Hidouri
Chemical and Process Engineering Department,
National School of Engineers,
Gabès University,
Omar Ibn El Khattab Street,
Gabès 6029, Tunisia
e-mail: n_hidouri@yahoo.com
National School of Engineers,
Gabès University,
Omar Ibn El Khattab Street,
Gabès 6029, Tunisia
e-mail: n_hidouri@yahoo.com
Mourad Magherbi
Civil Engineering Department,
Higher Institute of Applied
Sciences and Technology,
Gabès University,
Omar Ibn El Khattab Street,
Gabès 6029, Tunisia
e-mail: magherbim@yahoo.fr
Higher Institute of Applied
Sciences and Technology,
Gabès University,
Omar Ibn El Khattab Street,
Gabès 6029, Tunisia
e-mail: magherbim@yahoo.fr
Ammar Ben Brahim
Chemical and Process Engineering Department,
National School of Engineers,
Gabès University,
Omar Ibn El Khattab Street,
Gabès 6029, Tunisia
e-mail: ammar.benbrahim@enig.rnu.tn
National School of Engineers,
Gabès University,
Omar Ibn El Khattab Street,
Gabès 6029, Tunisia
e-mail: ammar.benbrahim@enig.rnu.tn
1Corresponding author.
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received January 2, 2015; final manuscript received September 19, 2015; published online October 27, 2015. Assoc. Editor: Andrey Kuznetsov.
J. Heat Transfer. Feb 2016, 138(2): 020801 (10 pages)
Published Online: October 27, 2015
Article history
Received:
January 2, 2015
Revised:
September 19, 2015
Citation
Tayari, A., Hidouri, N., Magherbi, M., and Brahim, A. B. (October 27, 2015). "Second Law Analysis Through a Porous Poiseuille–Benard Channel Flow." ASME. J. Heat Transfer. February 2016; 138(2): 020801. https://doi.org/10.1115/1.4031731
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