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Numerical simulation for activation energy impact in Darcy–Forchheimer nanofluid flow by impermeable cylinder with thermal radiation

  • M. WaqasEmail author
  • Saira Naz
  • T. Hayat
  • A. Alsaedi
Original Article
  • 8 Downloads

Abstract

Here, the mixed convection and activation energy characteristics in Darcy–Forchheimer nanomaterial flow by impermeable cylinder are addressed. The novel chemical species model which elaborates activation energy impact is introduced. Formulation is based on significant slip mechanisms, namely the Brownian and thermophoretic diffusions. Besides, thermal radiation, double stratification, heat generation and convective conditions are also taken into account. The formulated expressions are converted into non-dimensional quantities. Shooting scheme is opted to tackle governing nonlinear mathematical problems. Plots and tabular results are presented regarding the importance of physical constraints. It is found that the inertia coefficient and porosity variable yield lower velocity. Also, temperature and Sherwood number are increasing functions of activation energy factor.

Keywords

Activation energy Mixed convection Darcy–Forchheimer nanomaterial flow Thermal radiation Heat generation Shooting scheme 

Notes

References

  1. Anuradha S, Yegammai M (2017) MHD radiative boundary layer flow of nanofluid past a vertical plate with effects of binary chemical reaction and activation energy. Glob J Pure Appl Math 13:6377–6392Google Scholar
  2. Bestman AR (1990) Natural convection boundary layer with suction and mass transfer in a porous medium. Int J Eng Res 14:389–396Google Scholar
  3. Choi SUS, Eastman JA (1995) Enhancing thermal conductivity of fluids with nanoparticles. ASME Int Mech Eng Congr Expo 66:99–105Google Scholar
  4. Duncan AB, Peterson G (1994) Review of micro scale heat transfer. Appl Mech Rev 47:397–428CrossRefGoogle Scholar
  5. Gireesha BJ, Mahanthesh B, Thammanna GT, Sampathkumar PB (2018) Hall effects on dusty nanofluid two-phase transient flow past a stretching sheet using KVL model. J Mol Liq 256:139–147CrossRefGoogle Scholar
  6. Hamilton RL, Crosser O (1962) Thermal conductivity of heterogeneous two component systems. Ind Eng Chem Fundam 1:187–191CrossRefGoogle Scholar
  7. Hassan M, Faisal A, Bhatti MM (2018) Interaction of aluminum oxide nanoparticles with flow of polyvinyl alcohol solutions base nanofluids over a wedge. Appl Nanosci 8:53–60CrossRefGoogle Scholar
  8. Hayat T, Waqas M, Shehzad SA, Alsaedi A (2016) A model of solar radiation and Joule heating in magnetohydrodynamic (MHD) convective flow of thixotropic nanofluid. J Mol Liq 215:704–710CrossRefGoogle Scholar
  9. Hayat T, Qayyum S, Waqas M, Ahmed B (2017) Influence of thermal radiation and chemical reaction in mixed convection stagnation point flow of Carreau fluid. Results Phys 7:4058–4064CrossRefGoogle Scholar
  10. Hayat T, Khan MWA, Khan MI, Waqas M, Alsaedi A (2018a) Impact of chemical reaction in fully developed radiated mixed convective flow between two rotating disk. Phys B 538:138–149CrossRefGoogle Scholar
  11. Hayat T, Khalid H, Waqas M, Alsaedi A (2018b) Numerical simulation for radiative flow of nanoliquid by rotating disk with carbon nanotubes and partial slip. Computer Methods Appl Mech Eng.  https://doi.org/10.1016/j.cma.2018.06.018 Google Scholar
  12. Hayat T, Shah F, Alsaedi A, Waqas M (2018c) Numerical simulation for magneto nanofluid flow through a porous space with melting heat transfer. Microgravity Sci Techn 30:265–275CrossRefGoogle Scholar
  13. Hayat T, Ullah I, Waqas M, Alsaedi A (2018d) Flow of chemically reactive magneto Cross nanoliquid with temperature-dependent conductivity, Appl Nanosci.  https://doi.org/10.1007/s13204-018-0813-x Google Scholar
  14. Hsiao KL (2016) Stagnation electrical MHD nanofluid mixed convection with slip boundary on a stretching sheet. Appl Therm Eng 98:850–861CrossRefGoogle Scholar
  15. Hsiao KL (2017a) Micropolar nanofluid flow with MHD and viscous dissipation effects towards a stretching sheet with multimedia feature. Int J Heat Mass Transf 112:983–990CrossRefGoogle Scholar
  16. Hsiao KL (2017b) Combined electrical MHD heat transfer thermal extrusion system using Maxwell fluid with radiative and viscous dissipation effects. Appl Therm Eng 112:1281–1288CrossRefGoogle Scholar
  17. Hsiao KL (2017c) To promote radiation electrical MHD activation energy thermal extrusion manufacturing system efficiency by using Carreau–Nanofluid with parameters control method. Energy 130:486–499CrossRefGoogle Scholar
  18. Irfan M, Khan M, Khan WA, Ayaz M (2018a) Modern development on the features of magnetic field and heat sink/source in Maxwell nanofluid subject to convective heat transport. Phys Lett A 382:1992–2002CrossRefGoogle Scholar
  19. Irfan M, Khan M, Khan WA (2018b) Interaction between chemical species and generalized Fourier’s law on 3D flow of Carreau fluid with variable thermal conductivity and heat sink/source: a numerical approach. Results Phys 10:107–117CrossRefGoogle Scholar
  20. Khan MI, Waqas M, Hayat T, Alsaedi A, Khan MI (2017) Significance of nonlinear radiation in mixed convection flow of magneto Walter-B nanoliquid. Int J Hydrog Energy 42:26408–26416CrossRefGoogle Scholar
  21. Khan M, Irfan M, Khan WA (2018a) Impact of heat source/sink on radiative heat transfer to Maxwell nanofluid subject to revised mass flux condition. Results Phys 9:851–857CrossRefGoogle Scholar
  22. Khan MI, Qayyum S, Hayat T, Waqas M, Khan MI, Alsaedi A (2018b) Entropy generation minimization and binary chemical reaction with Arrhenius activation energy in MHD radiative flow of nanomaterial. J Mol Liq 259:274–283CrossRefGoogle Scholar
  23. Khan MI, Waqas M, Hayat T, Alsaedi A (2018c) Magnetohydrodynamical numerical simulation of heat transfer in MHD stagnation point flow of cross fluid model towards a stretched surface. Phys Chem Liq.  https://doi.org/10.1080/00319104.2017.1367791 Google Scholar
  24. Khan MI, Hayat T, Waqas M, Khan MI, Alsaedi A (2018d) Entropy generation minimization (EGM) in nonlinear mixed convective flow of nanomaterial with Joule heating and slip condition. J Mol Liq 256:108–120CrossRefGoogle Scholar
  25. Levine I (2008) Physical chemistry, 6th edn. McGraw-Hill Education, Burr Ridge, USAGoogle Scholar
  26. Mahanthesh B, Gireesha BJ, Gorla RSR (2016) Mixed convection squeezing three-dimensional flow in a rotating channel filled with nanofluid. Int J Numer Methods Heat Fluid Flow 26:1460–1485CrossRefGoogle Scholar
  27. Mahanthesh B, Gireesha BJ, Gorla RSR (2017a) Unsteady three-dimensional MHD flow of a nano Eyring–Powell fluid past a convectively heated stretching sheet in the presence of thermal radiation, viscous dissipation and Joule heating. J Assoc Arab Univ Basic Appl Sci 23:75–84Google Scholar
  28. Mahanthesh B, Kumar PBS, Gireesha BJ, Manjunatha S, Gorla RSR (2017b) Nonlinear convective and radiated flow of tangent hyperbolic liquid due to stretched surface with convective condition. Results Phys 7:2404–2410CrossRefGoogle Scholar
  29. Mahanthesh B, Gireesha BJ, Shehzad SA, Rauf A, Kumar PBS (2018) Nonlinear radiated MHD flow of nanoliquids due to a rotating disk with irregular heat source and heat flux condition. Phys B 537:98–104CrossRefGoogle Scholar
  30. Makinde OD, Olanrewaju PO, Charles WM (2011) Unsteady convection with chemical reaction and radiative heat transfer past a flat porous plate moving through a binary mixture. Afr Mat 22:65–78CrossRefGoogle Scholar
  31. Maxwell JCA (1881) Treatise on electricity and magnetism. Clarendon Press, OxfordGoogle Scholar
  32. Murshed SMS, Estellé P (2017) A state of the art review on viscosity of nanofluids. Renew Sustain Energy Rev 76:1134–1152CrossRefGoogle Scholar
  33. Sulochana C, Sandeep N (2016) Stagnation point flow and heat transfer behavior of Cu–water nanofluid towards horizontal and exponentially stretching/shrinking cylinders. Appl Nanosci 6:451–459CrossRefGoogle Scholar
  34. Waqas M, Farooq M, Khan MI, Alsaedi A, Hayat T, Yasmeen T (2016a) Magnetohydrodynamic (MHD) mixed convection flow of micropolar liquid due to nonlinear stretched sheet with convective condition. Int J Heat Mass Transf 102:766–772CrossRefGoogle Scholar
  35. Waqas M, Hayat T, Farooq M, Shehzad SA, Alsaedi A (2016b) Cattaneo–Christov heat flux model for flow of variable thermal conductivity generalized Burgers fluid. J Mol Liq 220:642–648CrossRefGoogle Scholar
  36. Waqas M, Alsaedi A, Shehzad SA, Hayat T, Asghar S (2017a) Mixed convective stagnation point flow of Carreau fluid with variable properties. J Braz Soc Mech Sci Eng 39:3005–3017CrossRefGoogle Scholar
  37. Waqas M, Khan MI, Hayat T, Alsaedi A (2017b) Numerical simulation for magneto Carreau nanofluid model with thermal radiation: a revised model. Comput Methods Appl Mech Eng 324:640–653CrossRefGoogle Scholar
  38. Waqas M, Hayat T, Shehzad SA, Alsaedi A (2018a) Transport of magnetohydrodynamic nanomaterial in a stratified medium considering gyrotactic microorganisms. Phys B 529:33–40CrossRefGoogle Scholar
  39. Waqas M, Hayat T, Shehzad SA, Alsaedi A (2018b) Analysis of forced convective modified Burgers liquid flow considering Cattaneo–Christov double diffusion. Results Phys 8:908–913CrossRefGoogle Scholar

Copyright information

© King Abdulaziz City for Science and Technology 2019

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsThe University of Lahore Gujrat CampusGujratPakistan
  2. 2.Department of MathematicsQuaid-I-Azam University 45320IslamabadPakistan
  3. 3.Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of ScienceKing Abdulaziz UniversityJeddahSaudi Arabia

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