Discontinuity, Nonlinearity, and Complexity 11(2) (2022) 285--300 | DOI:10.5890/DNC.2022.06.008

P. Sreehari$^1$, Srinivas Reddy C.$^2$, Kishan Naikoti$^1$

$^1$ Department of Mathematics, University College of Science, Osmania University, Hyderabad, Telangana, India,

500007

$^2$ Department of Mathematics, Government City College, Nayapul, Hyderabad, Telangana, 500039

Abstract

An analysis is executed to study the MHD flow of Jeffrey nanofluid over a nonlinear radial stretching sheet with the influence of thermal radiation and heat generation/absorption. Two more realistic conditions namely convective conditions and zero nanoparticles mass flux condition are applied on the boundary. By applying suitable similarity transformations, the constitutive equation along with energy and concentration equations changed to set of ordinary differential equations. The ODE's(ordinary differential equation) are solved numerically by bvpc4 method. The outcomes are then displayed for numerous values of the physical parameter and discussed. It is obvious that heat transfer rate is noticeably higher for augment Deboray number and friction factor declines with higher values of inertia Coefficient. To validate our obtained outcomes, a comparison in a limiting case is also given and found in excellent agreement.

References

1. [1]	Wang, C.Y. (2007), Natural convection on a vertical radially stretching sheet, Journal of Mathematical Analysis and Applications, 33, 877-883.

2. [2]	Ahmad, I., Sajid, M., Hayat, T., and Myub, M. (2008), Unsteady axisymmetric flow of a second grade fluid over a radially stretching sheet, Computers and Mathematics with Applications, 56, 1351-1357.

3. [3]	Khan, M. and Shehzad, A. (2012), On axisymmetric flow of Sisko fluid over a radially stretching sheet, International Journal of Non-linear Mechanics, 47, 999-1007.

4. [4]	Nadeem, S., Rehman, A., Vajravelu, K., Lee, J., and Lee, C. (2012), Axisymmetric stagnation flow of a micropolar nanofluid in a moving cylinder, Math Prob Eng, 1-18,

5. [5]	Ashraf, M.B., Hayat, T., Alsaedi, A., and Shehzad, S.A. (2015), Convective heat and mass transfer in MHD mixed convection flow of Jeffrey nanofluid over a radially stretching surface with thermal radiation, J. Cent. South Univ., 22, 1114-1123,

6. [6]	Choi, S.U.S. (1995), Enhancing thermal conductivity of fluids with nanoparticles. In: Siginer DA, Wang HP, editors, Developments and applications ofnon-Newtonian flows. ASME FED, 231/MD 66, 99-105.

7. [7]	Buongiorno, J. (2006), Convective transport in nanofluids, J Heat Transfer, 128(10), 240-50.

8. [8]	Kuznetsov, A.V. and Nield, D.A. (2010), Natural convective boundary layer flow of a nanofluid past a vertical plate, Int J Therm Sci, 49, 243-247.

9. [9]	Khan, W.A. and Pop, I. (2010), Boundary-layer flow of a nanofluid past a stretching sheet, Int J Heat Mass Transfer, 53, 2477-83.

10. [10]	Makinde, O.D. and Aziz, A. (2011), Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition, Int. J. Therm. Sci., 50, 1326-1332.

11. [11]	Gireesha, B.J., Gorla, R.S.R., and Mahanthesh, B. (2015), Effect of suspended nanoparticles on three-dimensional MHD flow, heat and mass transfer of radiating Eyring-Powell fluid over a stretching sheet, J Nanofluids, 4, 474-484.

12. [12]	Gorla, R.S.R. and Chamkha, A. (2011), Natural convective boundary layer flow over a horizontal plate embedded in a porous medium saturated with ananofluid, J Modern Phys, 2(15), 62-71.

13. [13]	Nadeem, S. and Hussain, S.T. (2014), Flow and heat transfer analysis of Williamson nanofluid, Appl Nanosci, 4, 1005-1012.

14. [14]	Sheikholeslami, M., Ellahi, R., Ashorynejad, H.R., Domairry, G., and Hayat, T. (2014), Effects of heat transfer in flow of nanofluids over a permeable stretching wall in a porous medium, Comput. Theor. Nanosci., 11, 486-496.

15. [15]	Madhu, M. and Kishan, N. (2016), Finite element analysis of heat and mass transfer by MHD mixed convection stagnation-point flow of a non-Newtonian power-law nanofluid towards a stretching surface with radiation, Journal of Egyptian Mathematical Society, 24, 458-470.

16. [16]	Balla, C.S., Kishan, N., Gorla, R.S.R., and Gireesha, B.J. (2017), MHD boundary layer flow and heat transfer in an inclined porous square cavity filled with nanofluids, Ain Shams Engineering Journal, 8(2), 237-254.

17. [17]

    Balla, C.S. and Kishan, N. (2014), Finite element analysis of magnetohydrodynamic transient free convection flow of nanofluid over a vertical cone with thermal radiation, Proceedings of the Institution of Mechanical Engineers, Part N: Journal of Nanomaterials, Nanoengineering and Nanosystems, 230(3), 161-173.

18. [18]	Besthapu, P., Haq, R.U., Bandari, S., and Al-Mdallal, Q.M. (2019), Thermal radiation and slip effects on stagnation point flow of MHD non-Newtonian nanofluid over a convective stretching surface, Neural Computing and Applications, Springer, 31(1), 207-221, DOI:10.1007/s00521-017-2992-x.

19. [19]	Kuznetsov, A.V. and Nield, D.A. (2014), Natural convective boundary-layer flow of a nanofluid past a vertical plate: A revised model, International Journal of Thermal Sciences, 77, 126-129.

20. [20]	Reddy, C.S., Kishan, N., and Madhu, M. (2018), Finite element analysis of eyring-powell nano fluid over an exponential stretching sheet, M. Int. J. Appl. Comput. Math, 4(8), https://doi.org/10.1007/s40819-017-0438-x.

21. [21]	Prabhakar, B., Shankar, B., and Haq, R.U. (2018), Impact of inclined Lorentz forces on tangent hyperbolic nanofluid flow with zero normal flux of nanoparticles at the stretching sheet, Neural Comput and Applic, 29, 805-814.

22. [22]	Madhu, M. and Kishan, N. (2017), MHD flow and heat transfer of Casson nanofluid over a wedge, Mechanics and Industry, 18, 210.

23. [23]	Brinkman, H.C. (1947), A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles, Appl. Sci. Res., 27-34.

24. [24]	Forchheimer, P. (1901), Wasserbewegung durch boden, Zeitschrift Ver. D. Ing., 45, 1782-1788.

25. [25]	Hayat, T., Haider, F., Muhammad, T., and Alsaedi, A. (2017), An optimal study for Darcy-Forchheimer flow with generalized Fourier's and Fick's laws, Results in Physics, 7 2878-2885.

26. [26]	Hayat, T., Haider, F., Muhammad, T., and Alsaedi, A. (2017), On Darcy-Forchheimer flow of viscoelastic nanofluids: A comparative study, Journal of Molecular Liquids, 233, 278-287.

27. [27]	Muhammad, T., Alsaedi, A., Hayat, T., and A.Shehzad, S. (2017), A revised model for Darcy-Forchheimer three-dimensional flow of nanofluid subject to convective boundary condition, 7, 2791-2797.

28. [28]	Hayat, T., Muhammad, T., Al-Mezal, S., and Liao, S.J. (2016), Darcy-Forchheimer flow with variable thermal conductivity and Cattaneo-Christov heat flux, Int. J. Numer. Methods Heat Fluid Flow, 26, 2355-2369.

29. [29]	Hayat, T., Bashir, G., Waqas, M., and Alsaedi, A. (2016), MHD flow of Jeffrey liquid due to a nonlinear radially stretched sheet in presence of Newtonian heating, Results in Physics, 6, 817-823.

30. [30]	Hayat, T., Waqas, M., Khan, M.I., and Alsaedi, A. (2016), Impacts of constructive and destructive chemical reactions in magnetohydrodynamic (MHD) flow of Jeffrey liquid due to nonlinear radially stretched surface, Journal of Molecular Liquids, 225, 302-310.

31. [31]	Hayat, T., Bashir, G., Waqas, M., and Alsaedi, A. (2016), MHD flow of Jeffrey liquid due to a nonlinear radially stretched sheet in presence of Newtonian heating, Results in Physics, 6, 817-823.