Consequences of activation energy and chemical reaction in radiative flow of tangent hyperbolic nanoliquid

Document Type : Article

Authors

1 Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan

2 a. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan.; Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.

3 Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Abstract

Mixed convection flow of tangent hyperbolic liquid over stretching sheet is explored. Joule heating, double stratification, non-linear thermal radiation, Brownian motion and thermophoresis are present. Phenomenon of mass transfer is examined by activation energy along with binary chemical. Computations of convergent solutions are carried out for the nonlinear mathematical system. Graphical representation is employed for outcome of sundry variables on velocity profile, temperature field and concentration of nanoparticles. Moreover, Nusselt number, coefficient of drag force and mass transfer rate are examined. It is observed that velocity decays for larger Weissenberg number. Concentration of fluid enhances for higher activation energy parameter.

Keywords

Main Subjects


Refrences:
1.Cortell, R. Fluid ow and radiative nonlinear heat transfer over a stretching sheet", J. King Saud. Univ. Sci., 26, pp. 161-167 (2014).
2. Kumar, R., Sood, S., and Sheikholeslami, M., et al. Nonlinear thermal radiation and cubic autocatalysis chemical reaction e_ects on the ow of stretched nanouid under rotational oscillations", J. Collo. Interf. Sci., 505, pp. 253-265 (2017).
3. Khan, M., Irfan, M., and Khan, W.A. Impact of nonlinear thermal radiation and gyrotactic microorganisms on the Magneto-Burgers nanouid", Int. J. Mech. Sci., 130, pp. 375-382 (2017). 4. Bhatti, M.M. and Rashidi, M.M. Entropy generation with nonlinear thermal radiation in MHD boundary layer ow over a permeable shrinking/stretching sheet: Numerical solution", J. Nanouids, 5, pp. 543-548 (2016). 5. Mustafa, M., Ahmad, R., Hayat, T., et al. Rotating ow of viscoelastic uid with nonlinear thermal radiation: a numerical study", Neural Comp. App., 29, pp. 493-499 (2018). 6. Hsiao, K.L. Combined electrical MHD heat transfer thermal extrusion system using Maxwell uid with radiative and viscous dissipation e_ects", Appl. Therm. Eng., 208 (2016). DOI: 10.1016/j.applthermaleng. 7. Hsiao, K.L. Micropolar nanouid ow with MHD and viscous dissipation e_ects towards a stretching sheet with multimedia feature", Int. J. Heat Mass Transf., 112, pp. 983-990 (2017). 3936 S. Jabeen et al./Scientia Iranica, Transactions F: Nanotechnology 26 (2019) 3928{3937 8. Turkyilmazoglu, M. The analytical solution of mixed convection heat transfer and uid ow of a MHD viscoelastic uid over a permeable stretching surface", Int. J. Mech. Sci., 77, pp. 263-268 (2013). 9. Alamri, S.Z., Ellahi, R., Shehzad, N., et al. Convective radiative plane Poiseuille ow of nanouid through porous medium with slip: An application of Stefan blowing", J. Mol. Liq., 273, pp. 292-304 (2019). 10. Hassan, M., Marin, M., and Alsharif, A., et al. Convection heat transfer ow of nanouid in a porous medium over wavy surface", Physics Lett. A, 382, pp. 2749-2753 (2018). 11. Ellahi, R., Hassan, M., and Zeeshan, A. Shape e_ects of spherical and nonspherical nanoparticles in mixed convection ow over a vertical stretching permeable sheet", J. Mech. Adv. Mat. Structures, 24, pp. 1231- 1238 (2017). 12. Akbarzadeh, M., Rashidi, S., Karimi, N., et al. Convection of heat and thermodynamic irreversibilities in two-phase, turbulent nanouid ows in solar heaters by corrugated absorber plates", Adv. Powder Tech., 29, pp. 2243-2254 (2018). 13. Hsiao, K.L. Stagnation electrical MHD nanouid mixed convection with slip boundary on a stretching sheet", Appl. Therm. Eng., 98, pp. 850-861 (2016). 14. Hassan, M., Marin, M., Ellahi, R., et al. Exploration of convective heat transfer and ow characteristics synthesis by Cu-Ag/water hybrid-nanouids", Heat Transf. Res., 49, pp. 1837-1848 (2018). 15. Hsiao, K.L. To promote radiation electrical MHD activation energy thermal extrusion manufacturing system e_ciency by using Carreau-nanouid with parameters control method", Energy, 130, pp. 486-499 (2017). 16. Awad, F.G., Motsa, S., and Khumalo, M. Heat and mass transfer in unsteady rotating uid ow with binary chemical reaction and activation energy", Plos One, 9(9), e107622 (2014). https://doi.org/10.1371/journal.pone.0107622 17. Sha_que, Z., Mustafa, M., and Mushtaq, A. Boundary layer ow of Maxwell uid in rotating frame with binary chemical reaction and activation energy", Results Phys., 6, pp. 627-633 (2016). 18. Mustafa, M., Khan, J.A., Hayat, T., et al. Buoyancy e_ects on the MHD nanouid ow past a vertical surface with chemical reaction and activation energy", Int. J. Heat and Mass Transf., 108, pp. 1340-1346 (2017). 19. Abbasi, F.M., Shehzad, S.A., Hayat, T., et al. Mixed convection ow of Je_rey nanouid with thermal radiation and double strati_cation", J. Hydrodynamics, Ser. B, 28, pp. 840-849 (2016). 20. Daniel, Y.S., Aziz, Z.A., Ismail, Z., et al. E_ects of thermal radiation, viscous and Joule heating on electrical MHD nanouid with double strati_cation", Chin. J. Phys., 55, pp. 630-651 (2017). 21. Ramzan, M., Bilal, M., and Chung, J.D. E_ects of thermal and solutal strati_cation on Je_rey magnetonano uid along an inclined stretching cylinder with thermal radiation and heat generation/absorption", Int. J. Mech. Sci., 132, pp. 317-324 (2017). 22. Ahmad, S., Farooq, M., Javed, M., et al. Double strati_cation e_ects in chemically reactive squeezed Sutterby uid ow with thermal radiation and mixed convection", Res. Phy., 8, pp. 1250-1259 (2018). 23. Liao, S.J., Homotopy Analysis Method in Non-linear Di_erential Equations, Springer and Higher Education Press, Heidelberg (2012). 24. Noeiaghdam, S., Zarei, E., and Kelishami, H.B. Homotopy analysis transform method for solving Abel's integral equations of the _rst kind", Ain Shams Eng., J., 7, pp. 483-495 (2016). 25. Sui, J., Zheng, L., Zhang, X., et al. Mixed convection heat transfer in power law uids over a moving conveyor along an inclined plate", Int. J. Heat Mass Transfer, 85, pp. 1023-1033 (2015). 26. Turkyilmazoglu, M. Solution of the Thomas-Fermi equation with a convergent approach", Commun. Nonlinear Sci. Numer. Simulat., 17, pp. 4097-4103 (2012). 27. Khan, M.I., Waqas, M., Hayat, T., Alsaedi, A., et al. A comparative study of Casson uid with homogeneous-heterogeneous reactions", J. Coll. Inter. Sci., 498, pp. 85-90 (2017). 28. Sheikholeslami, M., Ganji, D.D., Javed, M.Y., et al. E_ect of thermal radiation on magnetohydrodynamics nanouid ow and heat transfer by means of two phase model", J. Magn. Magn. Mater., 374, pp. 36-43 (2015). 29. Hayat, T., Khan, M.I., Farooq, M., and Alsaedi, T., et al. Impact of Cattaneo-Christov heat ux model in ow of variable thermal conductivity uid over a variable thicked surface", Int. J. Heat Mass Transf., 99, pp. 702-710 (2016). 30. Hayat, T., Qayyum, S., and Alsaedi, A., et al. Nonlinear thermal radiation aspects in stagnation point ow of tangent hyperbolic nanouid with double di_usive convection", J. Mol. Liq., 223, pp. 969-978 (2016). 31. Hayat, T., Sajid, M., and Pop, I. Three-dimensional ow over a stretching surface in a viscoelastic uid", Nonlinear Analysis: Real World Appl., 9, pp. 1811- 1822 (2008). 32. Abbasbandy, S. and Hayat, T. Solution of the MHD Falkner-Skan ow by homotopy analysis method", Comm. Nonlinear Sci. Numer. Simulation, 14, pp. 3591-3598 (2009). S. Jabeen et al./Scientia Iranica, Transactions F: Nanotechnology 26 (2019) 3928{3937 3937 33. Hayat, T., Waqas, M., Shehzad, S.A., et al. E_ects of Joule heating and thermophoresis on the stretched ow with convective boundary condition", Scientia Iranica, 21, pp. 682-692 (2014). 34. Eswaramoorthi, S., Sivanandam, S., Bhuvaneswari, M., et al. Soret and Dufour e_ects on viscoelastic boundary layer ow over a stretching surface with convective boundary condition with radiation and chemical reaction", Scientia Iranica, 23, pp. 2575-2586 (2016). 35. Qayyum, S., Hayat, T., Shehzad, S.A., et al. Mixed convection and heat generation/absorption aspects in MHD ow of tangent hyperbolic nanoliquid with Newtonian heat/mass transfer", Rad. Phy. Chem., 144, pp. 396-404 (2018).