A novel model to analyze Darcy Forchheimer nanofluid flow in a permeable medium with Entropy generation analysis

References

• Choi SUS, Eastman JA. Enhancing thermal conductivity of fluids with nanoparticles. ASME Int Mech Eng Congr Expo. 1995;66:99–105.
   Google Scholar
• Saidur R, Leong KY, Mohammad H. A review on applications and challenges of nanofluids. Renewable Sustainable Energy Rev. 2011;15(3):1646–1668.
   Web of Science ®Google Scholar
• Wong KV, De Leon O. Applications of nanofluids: current and future. Advan Mech Eng. 2010;2:519–659.
   Google Scholar
• Ramzan M, Sheikholeslami M, Saeed M, et al. On the convective heat and zero nanoparticle mass flux conditions in the flow of 3D MHD Couple stress nanofluid over an exponentially stretched surface. Sci Rep. 2019;9(1):562.
   PubMedGoogle Scholar
• Lu D, Ramzan M, Ahmad S, et al. Impact of nonlinear thermal radiation and entropy optimization coatings with hybrid nanoliquid flow past a curved stretched surface. Coatings. 2018;8(12):430.
   Web of Science ®Google Scholar
• Muhammad T, Lu DC, Mahanthesh B, et al. Significance of Darcy-Forchheimer porous medium in nanofluid through carbon nanotubes. Commun Theor Phys. 2018;70(3):361.
   Web of Science ®Google Scholar
• Suleman M, Ramzan M, Zulfiqar M, et al. Entropy analysis of 3D non-Newtonian MHD nanofluid flow with nonlinear thermal radiation past over exponential stretched surface. Entropy. 2018;20(12):930.
   Web of Science ®Google Scholar
• Sheikholeslami M, Jafaryar M, Shafee A, et al. Acceleration of discharge process of clean energy storage unit with insertion of porous foam considering nanoparticle enhanced paraffin. J Clean Prod. 2020;121206; DOI:10.1016/j.jclepro.2020.121206.
   Google Scholar
• Farooq U, Lu D, Ahmed S, et al. Computational analysis for mixed convective flows of viscous fuids with nanoparticles. J Therm Sci Eng Appl. 2019;11(2):021013.
   Web of Science ®Google Scholar
• Sheikholeslami M, Rezaeianjouybari B, Darzi M, et al. Application of nano-refrigerant for boiling heat transfer enhancement employing an experimental study. Int J Heat Mass Transf. 2019;141:974–980.
   Web of Science ®Google Scholar
• Khan U, Ahmad S, Ramzan M, et al. Numerical simulation of Darcy–Forchheimer 3D unsteady nanofluid flow comprising carbon nanotubes with Cattaneo–Christov heat flux and velocity and thermal slip conditions. Processes. 2019;7(10):687.
   Web of Science ®Google Scholar
• Ellahi R, Sait SM, Shehzad N, et al. Numerical simulation and mathematical modeling of electro-osmotic Couette–poiseuille flow of MHD power-law nanofluid with entropy generation. Symmetry (Basel). 2019;11(8):1038.
   Google Scholar
• Li Z, Ramzan M, Shafee A, et al. Numerical approach for nanofluid transportation due to electric force in a porous enclosure. Microsyst Technol. 2019;25(6):2501–2514.
   Web of Science ®Google Scholar
• Lu D, Ramzan M, Ahmad S, et al. A numerical treatment of MHD radiative flow of Micropolar nanofluid with homogeneous-heterogeneous reactions past a nonlinear stretched surface. Sci Rep. 2018;8(1):12431.
   Google Scholar
• Lu DC, Ramzan M, Bilal M, et al. Upshot of chemical species and nonlinear thermal radiation on Oldroyd-B nanofluid flow past a bi-directional stretched surface with heat generation/absorption in a porous media. Commun Theor Phys. 2018;70(1):71.
   Web of Science ®Google Scholar
• Darcy, H. P. G. (1856). Les Fontaines publiques de la ville de Dijon. Exposition et application des principes à suivre et des formules à employer dans les questions de distribution d'eau, etc. V. Dalamont.
   Google Scholar
• Forchheimer P. Wasserbewegung durch boden. Z Ver Deutsch, Ing. 1901;45:1782–1788.
   Google Scholar
• Muskat M. The flow of homogeneous fluids through porous media. Soil Sci. 1938;46(2):169.
   Google Scholar
• Pal D, Mondal H. Hydromagnetic convective diffusion of species in Darcy–forchheimer porous medium with non-uniform heat source/sink and variable viscosity. Int Commun Heat Mass Transfer. 2012;39(7):913–917.
   Web of Science ®Google Scholar
• Ganesh NV, Hakeem AA, Ganga B. Darcy–forchheimer flow of hydromagnetic nanofluid over a stretching/shrinking sheet in a thermally stratified porous medium with second order slip, viscous and Ohmic dissipations effects. Ain Shams Eng J. 2016;9(4):939–951.
   Web of Science ®Google Scholar
• Alshomrani AS, Ullah MZ. Effects of homogeneous–heterogeneous reactions and convective condition in Darcy–Forchheimer flow of carbon nanotubes. J Heat Transfer. 2019;141(1). DOI:10.1115/1.4041553.
   Web of Science ®Google Scholar
• Saif RS, Hayat T, Ellahi R, et al. Darcy–Forchheimer flow of nanofluid due to a curved stretching surface. Int J Numer Methods Heat Fluid Flow. 2018;29(1):2–20. DOI:10.1108/HFF-08-2017-0301.
   Web of Science ®Google Scholar
• Seth GS, Kumar R, Bhattacharyya A. Entropy generation of dissipative flow of carbon nanotubes in rotating frame with Darcy-Forchheimer porous medium: A numerical study. J Mol Liq. 2018;268:637–646.
   Web of Science ®Google Scholar
• Ramzan M, Gul H, Zahri M. Darcy-Forchheimer 3D Williamson nanofluid flow with generalized Fourier and Fick’s laws in a stratified medium. Bull Pol Acad Sci Tech Sci. 2020;62(2):327–335.
   Google Scholar
• Zeeshan A, Maskeen MM, Mehmood OU. Hydromagnetic nanofluid flow past a stretching cylinder embedded in non-Darcian Forchheimer porous media. Neural Comput Appl. 2018;30(11):3479–3489.
   Web of Science ®Google Scholar
• Ramzan M, Shaheen N, Kadry S, et al. Thermally stratified Darcy Forchheimer flow on a moving thin needle with homogeneous heterogeneous reactions and non-uniform heat source/sink. Appl Sci. 2020;10(2):432.
   Google Scholar
• RamReddy C, Naveen P, Srinivasacharya D. Nonlinear convective flow of non-Newtonian fluid over an inclined plate with convective surface condition: a Darcy–Forchheimer model. Int J Appl Comput Math. 2018;4(1):51.
   Google Scholar
• Ramzan M, Shaheen N. Thermally stratified Darcy–Forchheimer nanofluid flow comprising carbon nanotubes with effects of Cattaneo–christov heat flux and homogeneous–heterogeneous reactions. Phys Scr. 2019;95(1):015701.
   Web of Science ®Google Scholar
• Hayat T, Ullah I, Muhammad T, et al. Three-dimensional flow of Powell–Eyring nanofluid with heat and mass flux boundary conditions. Chin Phys B. 2016;25(7):074701.
   Web of Science ®Google Scholar
• Shahid N, Tunç C. Resolution of coincident factors in altering the flow dynamics of an MHD elastoviscous fluid past an unbounded upright channel. J Taibah Univ Sci. 2019;13(1):1022–1034.
   Web of Science ®Google Scholar
• Alam MN, Tunç C. Constructions of the optical solitons and other solitons to the conformable fractional Zakharov–Kuznetsov equation with power law nonlinearity. J Taibah Univ Sci. 2020;14(1):94–100.
   Web of Science ®Google Scholar
• Ramzan M, Bilal M, Chung JD. Radiative flow of Powell-Eyring magneto-nanofluid over a stretching cylinder with chemical reaction and double stratification near a stagnation point. PloS one. 2017;12(1):e0170790.
   PubMed Web of Science ®Google Scholar
• Powell RE, Eyring H. Mechanisms for the relaxation theory of viscosity. Nature. 1944;154(3909):427.
   Google Scholar
• Patel M, Timol MG. Numerical treatment of Powell–Eyring fluid flow using method of satisfaction of asymptotic boundary conditions (MSABC). Appl Numer Math. 2009;59(10):2584–2592.
   Web of Science ®Google Scholar
• Eldabe NT, Ghaly AY, Mohamed MA, et al. MHD boundary layer chemical reacting flow with heat transfer of Eyring–Powell nanofluid past a stretching sheet. Microsyst Technol. 2018;24(12):4945–4953.
   Web of Science ®Google Scholar
• Gholinia M, Hosseinzadeh K, Mehrzadi H, et al. Investigation of MHD Eyring–powell fluid flow over a rotating disk under effect of homogeneous–heterogeneous reactions. Case Stud Therm Eng. 2019;13:100356.
   Web of Science ®Google Scholar
• Upadhya SM, Raju CSK, Shehzad SA, et al. Flow of Eyring-Powell dusty fluid in a deferment of aluminum and ferrous oxide nanoparticles with Cattaneo-Christov heat flux. Powder Technol. 2018;340:68–76.
   Web of Science ®Google Scholar
• Waqas M, Jabeen S, Hayat T, et al. Numerical simulation for nonlinear radiated Eyring-Powell nanofluid considering magnetic dipole and activation energy. Int Commun Heat Mass Transfer. 2020;112:104401.
   Web of Science ®Google Scholar
• Alsaedi A, Hayat T, Qayyum S, et al. Eyring–powell nanofluid flow with nonlinear mixed convection: entropy generation minimization. Comput Methods Programs Biomed. 2020;186:105183.
   PubMed Web of Science ®Google Scholar
• Muhammad T, Waqas H, Khan SA, et al. Significance of nonlinear thermal radiation in 3D Eyring–Powell nanofluid flow with Arrhenius activation energy. J Therm Anal Calorim. 2020: 1–16. DOI:10.1007/s10973-020-09459-4.
   Web of Science ®Google Scholar
• El-Masry YAS, Abd Elmaboud Y, Abdel-Sattar MA. The impacts of varying magnetic field and free convection heat transfer on an Eyring–powell fluid flow with peristalsis: VIM solution. J Taibah Univ Sci. 2020;14(1):19–30.
   Web of Science ®Google Scholar
• Nisar Z, Hayat T, Alsaedi A, et al. Wall properties and convective conditions in MHD radiative peristalsis flow of Eyring–Powell nanofluid. J Therm Anal Calorim. 2020. DOI:10.1007/s10973-020-09576-0.
   Web of Science ®Google Scholar
• Bejan A. Second-law analysis in heat transfer and thermal design. In: Hartnett JP, Irvine TF Jr, editors. Advances in heat transfer. Vol. 15. New York: Elsevier; 1982. p. 1–58.
   Google Scholar
• Mahian O, Oztop H, Pop I, et al. Entropy generation between two vertical cylinders in the presence of MHD flow subjected to constant wall temperature. Int Commun Heat Mass Transfer. 2013;44:87–92.
   Web of Science ®Google Scholar
• Reddy GJ, Kethireddy B, Kumar M, et al. A molecular dynamics study on transient non-Newtonian MHD Casson fluid flow dispersion over a radiative vertical cylinder with entropy heat generation. J Mol Liq. 2018;252:245–262.
   Web of Science ®Google Scholar
• Butt AS, Tufail MN, Ali A, et al. Theoretical investigation of entropy generation effects in nanofluid flow over an inclined stretching cylinder. Int J Exergy. 2019;28(2):126–157.
   Web of Science ®Google Scholar
• Tlili I, Ramzan M, Kadry S, et al. Radiative MHD nanofluid flow over a moving thin needle with entropy generation in a porous medium with dust particles and Hall current. Entropy. 2020;22(3):354.
   PubMed Web of Science ®Google Scholar
• Ramzan M, Mohammad M, Howari F. Magnetized suspended carbon nanotubes based nanofluid flow with bio-convection and entropy generation past a vertical cone. Sci Rep. 2019;9(1):1–15.
   PubMedGoogle Scholar
• Liao S. Comparison between the homotopy analysis method and homotopy perturbation method. Appl Math Comput. 2005;169(2):1186–1194.
   Web of Science ®Google Scholar
• Ariel PD. The three-dimensional flow past a stretching sheet and the homotopy perturbation method. Comput Math Appl. 2007;54(7-8):920–925.
   Web of Science ®Google Scholar