The combined effects of anisotropic porous medium and stably stratified fluid on free convective flow through an annulus

References

• Soliman RK, El Sayed IB, Abduelsalam SI. Hall and porous boundaries effects on peristaltic transport through porous medium of a Maxwell model. Transp Porous Med. 2012;94:643–658.
   Google Scholar
• Abdelsalam SI, Vafai K. Particulate suspension effect on peristaltically induced unsteady pulsatile flow in a narrow artery: blood flow model. Math Biosci. 2016. doi: 10.1016/j.mbs.2016.11.012.
   Google Scholar
• Abdelsalam SI, Vafai K. Combined effects of magnetic field and rheological properties on the peristaltic flow of a compressible fluid in a microfluidic channel. Eur J Mech B Fluids. 2017. doi:doi: 10.1016/j.euromechflu.2017.02.002.
   Google Scholar
• Khaled SM, Soliman RK, Abduelsalam SI. Simultaneous effects of magnetic field and space porosity on compressible Maxwell fluid transport induced by a surface acoustic wave in a microchannel. Chin Phys B. 2013;22(12):124702-1–124702-10.
   Google Scholar
• Khaled ARA, Vafai K. The role of porous media in modeling flow and heat transfer in biological tissues. Int J Heat Mass Transfer. 2003;46:4989–5003.
   Google Scholar
• Eldabe NT, Elogail MA, Elshaboury SM, et al. Hall effects on the peristaltic transport of Williamson fluid through a prous medium with heat and mass transfer. Appl Math Model. 2016;40(1):315–328.
   Google Scholar
• Abdelsalam SI, Vafai K. Combined effects of magnetic field and rheological properties on the peristaltic flow of a compressible fluid in a microfluidic channel. Eur J Mech B Fluids. 2017. doi:doi: 10.1016/j.euromechflu.2017.02.002.
   Google Scholar
• Nield DA, Bejan A. Convection in porous media. 4th ed New York (NY): Springer; 2013.
   Google Scholar
• Chen CK, Chen CH, Minkowycz WJ, et al. Non-Darcian effects on mixed convection about a vertical cylinder embedded in a saturated porous medium. Int J Heat Mass Transfer. 1996;35(11):3041–3046.
   Google Scholar
• Sparrow EM, Abraham JP, Minkowycz WJ. Flow separation in a diverging conical duct: effect of reynolds number and divergence angle. Int J Heat Mass Transfer. 2009;52:3079–3083.
   Google Scholar
• Abdelsalam SI, Bhatti MM. The study of non-Newtonian nano fluid with Hall and ion slip effects on peristaltically induced motion in a nano channel. RSC Adv. 2018;8:7904–7915.
   Google Scholar
• Rees DAS, Storesletten L. The linear instability of a thermal boundary layer with suction in an anisotropic porous medium. Fluid Dyn Res. 2002;30:155–168.
   Google Scholar
• Degan G, Gibigaye M, Akowanou C, et al. The similarity regime for natural convection in a vertical cylindrical well filled with an anisotropic porous medium. J Eng Math. 2008;62:277–287.
   Google Scholar
• Bera P, Khalili A. Double-diffusive natural convection in an anisotropic porous cavity with opposing buoyancy forces: multi-solutions and oscillations. Int J Heat Mass Transfer. 2002;45:3205–3222.
   Google Scholar
• Vajravelu K, Prasad KV. Mixed convection heat transfer in an anisotropic porous medium with oblique principal axes. J Mech. 2014;30(4):327–338.
   Google Scholar
• Karmakar T, Sekhar GPR. Effect of anisotropic permeability on fluid flow through composite porous channel. J Eng Math. 2016;100:33–51.
   Google Scholar
• Filip DA, Trimbitas RT, Pop I. Fully developed mixed convection through a vertical porous channel with an anisotropic permeability: case of heat flux. Stud Univ Babes-Bolyai Math. 2015;60(2):341–350.
   Google Scholar
• Jha BK, Musa MK. Transient natural convection flow of heat generating/absorbing fluid between infinite vertical parallel plates filled with porous material. Int J Heat Energy. 2010;28(2):45–52.
   Google Scholar
• Shapiro A, Fedorovich E. Natural convection in a stably stratified fluid along vertical plates and cylinders with temporally periodic surface temperature variation. J Fluid Mech. 2006;546:295–311.
   Google Scholar
• Deka RK, Paul A. Convectively driven flow past an infinite moving vertical cylinder with thermal and mass stratification. Pramana J Phys. 2013;81(4):641–665.
   Google Scholar
• Deka RK, Paul A. Transient free convection flow past an infinite moving vertical cylinder in a stably stratified fluid. J Heat Transfer. 2012;134:1–8.
   Google Scholar
• Shapiro A, Fedorovich E. Prandtl number dependence of unsteady convection along a vertical plate in a stably stratified fluid. Int J Heat Mass Transfer. 2004;47:4911–4917.
   Google Scholar
• Deka RK, Bhattacharya A. Magneto-hydrodynamic (MHD) flow past an infinite vertical plate immersed in a stably stratified fluid. Int J Phys Sci. 2011;6(24):5831–5836.
   Google Scholar
• Magyari E, Pop I, Keller B. Unsteady free convection along an infinite vertical flat plate embedded in a stably stratified fluid saturated porous medium. Transp Porous Media. 2006;62:233–249.
   Google Scholar
• Degan G, Vasseur P. Aiding mixed convection through a vertical anisotropic porous channel with oblique principal axes. Int J Eng Sci. 2002;40:193–209.
   Google Scholar
• Ziyaddin R, Huseyin K. Two-phase steady flow along a horizontal glass pipe in the presence of the magnetic and electrical fields. Int J Heat Fluid Flow. 2007;29:263–268.
   Google Scholar
• Jha BK, Isa S. Computational treatment of MHD transient natural convection flow in a vertical channel due to symmetric heating in the presence of induced magnetic field. J Phys Soc Japan. 2013;82:1–9.
   Google Scholar
• Tzou DY. Macro to micro scale heat transfer. The lagging behaviour. London: Taylor & Francis; 1997.
   Google Scholar
• Degan G, Vasseur P, Bilgen E. Convective heat transfer in a vertical porous layer. Int J Heat Mass Transfer. 1995;38:1975–1987.
   Google Scholar