E. Bingham, The behavior of plastic materials, Bull US Bur Stand, vol.13, pp.309-353, 1916.

W. H. Herschel and R. Bulkley, Measurement of consistency as applied to rubber-benzene solutions, Am Soc Test Proc, vol.26, issue.2, 1926.

N. Casson, Rheology of disperse systems, 1959.

J. F. Steffe, Rheological methods in food process engineering, 1996.

G. W. Scott and . Blair, The success of Casson's equation, Rheol Acta, vol.5, issue.3, pp.184-187, 1966.

N. Iida, Influence of plasma layer on steady blood flow in microvessels, Jpn J Appl Phys, vol.17, issue.1, pp.203-214, 1978.

P. Chaturani and R. P. Samy, Pulsatile flow of Casson's fluid through stenosed arteries with applications to blood flow, Biorheology, vol.23, issue.5, pp.499-511, 1986.

R. K. Dash, G. Jayaraman, and K. N. Mehta, Estimation of increased flow resistance in a narrow catheterized artery-a theoretical model, J Biomech, vol.29, issue.7, pp.917-930, 1996.

S. Chakravarty and P. K. Sarifuddin, Unsteady flow of a two-layer blood stream past a tapered flexible artery under stenotic conditions, Comput Methods Appl Math, vol.4, issue.4, pp.391-409, 2004.

D. S. Sankar and U. Lee, Two-fluid Casson model for pulsatile blood flow through stenosed arteries: a theoretical model, Commun Nonlinear Sci Numer Simul, vol.15, issue.8, pp.2086-2097, 2010.

C. W. Macosko, Rheology : principles, measurements, and applications, 1994.

R. P. Chhabra and J. F. Richardson, Non-Newtonian flow and applied rheology, 2008.

S. Chandrasekhar, Hydrodynamic and hydromagnetic stability, 1961.

E. L. Koschmieder, Bénard cells and taylor vortices, 1993.

E. Bodenschatz, W. Pesch, and G. Ahlers, Recent developments in Rayleigh-bénard convection, Annu Rev Fluid Mech, vol.32, issue.1, pp.709-778, 2000.

H. M. Park, Rayleigh-Bénard convection of nanofluids based on the pseudo-singlephase continuum mode, Int J Therm Sci, vol.90, pp.267-278, 2015.

M. S. Aghighi, A. Ammar, C. Metivier, and F. Chinesta, Parametric solution of the Rayleigh-Benard convection model by using the PGD Application to nanofluids, Int J Numer Methods Heat Fluid Flow, vol.25, issue.6, pp.1252-1281, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01206794

C. Vila, S. Discetti, G. M. Carlomagno, T. Astarita, and A. Ianiro, On the onset of horizontal convection, Int J Therm Sci, vol.110, pp.96-108, 2016.

N. Yada, P. Kundu, S. Paul, and P. , Different routes to chaos in low Prandtl-number Rayleigh-Bénard convection, Int J Non Linear Mech, vol.81, pp.261-267, 2016.

P. Kaur and J. Singh, Heat transfer in thermally modulated two-dimensional Rayleigh Bénard convection, Int J Therm Sci, vol.114, pp.35-43, 2017.

J. Zhang, D. Vola, and I. A. Frigaard, Yield stress effects on Rayleigh-Bénard convection, J Fluid Mech, vol.566, pp.389-419, 2006.

. Vikhansky, Thermal convection of a viscoplastic liquid with high Rayleigh and Bingham numbers, Phys Fluids, vol.21, issue.10, p.103103, 2009.

O. Turan, N. Chakraborty, and R. J. Poole, Laminar Rayleigh-Bénard convection of yield stress fluids in a square enclosure, J Nonnewton Fluid Mech, pp.83-96, 2012.

S. Yigit, R. J. Poole, and N. Chakraborty, Effects of aspect ratio on natural convection of Bingham fluids in rectangular enclosures with differentially heated horizontal walls heated from below, Int J Heat Mass Transf, vol.80, pp.727-736, 2015.

M. A. Hassan, M. Pathak, and M. K. Khan, Rayleigh-Benard convection in HerschelBulkley fluid, J Nonnewton Fluid Mech, vol.226, pp.32-45, 2015.

M. S. Aghighi and A. Ammar, Aspect ratio effects in Rayleigh-Bénard convection of Herschel-Bulkley fluids, Eng Comput, vol.34, issue.5, pp.1658-1676, 2017.

C. Li, A. Magnin, and C. Métivier, Natural convection in shear-thinning yield stress fluids in a square enclosure, AIChE J, vol.62, issue.4, pp.1347-1355, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01490220

S. Yigit, S. Chen, P. Quinn, and N. Chakraborty, Numerical investigation of laminar Rayleigh-Bénard convection of Bingham fluids in square cross-sectioned cylindrical enclosures, Int J Therm Sci, vol.110, pp.356-368, 2016.

M. Darbouli, C. Métivier, J. Piau, A. Magnin, and A. Abdelali, Rayleigh-Bénard convection for viscoplastic fluids, Phys Fluids, vol.25, issue.2, p.23101, 2013.

Z. Kebiche, C. Castelain, and T. Burghelea, Experimental investigation of the RayleighBénard convection in a yield stress fluid, J Nonnewton Fluid Mech, vol.203, pp.9-23, 2014.

A. Vikhansky, On the stopping of thermal convection in viscoplastic liquid, Rheol Acta, vol.50, issue.4, pp.423-428, 2011.

C. Métivier, C. Li, and A. Magnin, Origin of the onset of Rayleigh-Bénard convection in a concentrated suspension of microgels with a yield stress behavior, Phys Fluids, vol.29, issue.10, 2017.

A. Davaille, B. Gueslin, A. Massmeyer, and E. D. Giuseppe, Thermal instabilities in a yield stress fluid: existence and morphology, J Nonnewton Fluid Mech, vol.193, pp.144-153, 2013.

T. C. Papanastasiou, Flows of materials with yield, J Rheol, vol.31, issue.5, p.385, 1987.

E. Mitsoulis, Flows of viscoplastic materials: models and computations, Rhetor Rev, pp.135-178, 2007.

W. Ibrahim and O. D. Makinde, Magnetohydrodynamic stagnation point flow and heat transfer of casson nanofluid past a stretching sheet with slip and convective boundary condition, J Aerosp Eng, pp.1-11, 2015.

M. S. Aghighi, A. Ammar, C. Metivier, M. Normandin, and F. Chinesta, Non-incremental transient solution of the Rayleigh-Bénard convection model by using the PGD, J Nonnewton Fluid Mech, pp.65-78, 2013.

G. Dhatt, G. Touzot, and E. Lefrancois, Finite element method, 2012.

N. Ouertatani, N. Ben-cheikh, B. Ben, T. Beya, and . Lili, Numerical simulation of twodimensional Rayleigh-Bénard convection in an enclosure, Compt Rendus Mec, vol.336, issue.5, pp.464-470, 2008.

O. Turan, A. Sachdeva, N. Chakraborty, and R. J. Poole, Laminar natural convection of power-law fluids in a square enclosure with differentially heated side walls subjected to constant temperatures, J Nonnewton Fluid Mech, vol.166, pp.1049-1063, 2011.