[ Log In | Register]
! Skip Navigation Links
Skip Navigation Links
Image of Discontinuity, Nonlinearity and Complexity
ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Darcy-Forchheimer Flow of MHD Powell-Eyring Nanoliquid over a Nonlinear Radially Stretching Disk with the Impact of Activation Energy

Discontinuity, Nonlinearity, and Complexity 10(4) (2021) 743--753 | DOI:10.5890/DNC.2021.12.013

Madhu Macha, Besthapu Prabhakar

Department of Studies and Research in Mathematics,~Kuvempu University, Shimoga, India Department of Mathematics, Kakatiya Government College, Hanamkonda, Telangana, India

Download Full Text PDF

 

Abstract

This study proclaims the Darcy-Forchheimer flow of Powell- Eyring nanoliquid subjected to nonlinear radially stretching disk. Further the impact of activation energy retained in concentration expression. In addition to this, convective boundary condition is adopted together with a modified version of mass flux condition is used. The modeled partial differential equations have been remodeled into system of ordinary differential equations via appropriate similarity variables. These ODEs are solved by Runge-Kutta fourth order scheme along with shooting technique. Graphs have been prepared to analyze the features of various influential parameters on velocity, temperature and concentration fields. Significant effects are found for various estimations of the fluid parameter on velocity, temperature and concentration profiles. Velocity field is reduced for growing values of porosity as well as inertia coefficient. Concentration rises for larger values of energy parameter but it is depreciated for higher values of chemical reaction rate.

References

  1. [1]  Forchheimer, P. (1901), Wasserbewegung durch boden, Z. Ver. Deutsch, Ing., 45, 1782-1788.
  2. [2]  Muskat, M. (1946), The flow of homogeneous fluids through porous media, (No. 532.5 M88).
  3. [3]  Seddeek, M.A. (2006), Influence of viscous dissipation and thermophoresis on Darcy-Forchheimer mixed convection in a fluid saturated porous media, Journal of Colloid and interface Science, 293(1), 137-142.
  4. [4]  Pal, D. and Mondal, H. (2012), Hydromagnetic convective diffusion of species in Darcy-Forchheimer porous medium with non-uniform heat source/sink and variable viscosity, International Communications in Heat and Mass Transfer, 39(7), 913-917.
  5. [5]  Shehzad, S.A., Abbasi, F.M., Hayat, T., and Alsaedi, A. (2016), Cattaneo-Christov heat flux model for Darcy-Forchheimer flow of an Oldroyd-B fluid with variable conductivity and non-linear convection, Journal of Molecular Liquids, 224, 274-278.
  6. [6]  Hayat, T., Muhammad, T., Al-Mezal, S., and Liao, S.J. (2016), Darcy-Forchheimer flow with variable thermal conductivity and Cattaneo-Christov heat flux, International Journal of Numerical Methods for Heat $&$ Fluid Flow.
  7. [7]  Powell, R.E. and Eyring, H. (1944), Nature, London.
  8. [8]  Javed, T., Ali, N., Abbas, Z., and Sajid, M. (2013), Flow of an Eyring-Powell non-Newtonian fluid over a stretching sheet, Chemical Engineering Communications, 200(3), 327-336.
  9. [9]  Akbar, N.S., Ebaid, A., and Khan, Z.H. (2015), Numerical analysis of magnetic field effects on Eyring-Powell fluid flow towards a stretching sheet, Journal of Magnetism and Magnetic Materials, 382, 355-358.
  10. [10]  Ariel, P.D. (2001), Axisymmetric flow of a second grade fluid past a stretching sheet, International Journal of Engineering Science, 39(5), 529-553.
  11. [11]  Khan, M., Munir, A., Shahzad, A., and Shah, A. (2015), MHD flow and heat transfer of a viscous fluid over a radially stretching power-law sheet with suction/injection in a porous medium, Journal of Applied Mechanics and Technical Physics, 56(2), 231-240.
  12. [12]  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.
  13. [13]  Khan, M., Manzur, M., and ur Rahman, M. (2017), On axisymmetric flow and heat transfer of Cross fluid over a radially stretching sheet, Results in physics, 7, 3767-3772.
  14. [14]  Choi, S.U. and Eastman, J.A. (1995), Enhancing thermal conductivity of fluids with nanoparticles (No. ANL/MSD/CP-84938; CONF-951135-29). Argonne National Lab., IL (United States).
  15. [15]  Masuda, H., Ebata, A., Teramae, K., Hishinuma, N., and Ebata, Y. (1993), Alteration of thermal conductivity and viscosity of liquid by dispersing ultra-fine particles (dispersion of $\gamma $-Al2O3, SiO2 and TiO2 ultra-fine particles).
  16. [16]  Buongiorno, J. (2006), Convective transport in nanofluids.
  17. [17]  Makinde, O.D. and Aziz, A. (2011), Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition, International Journal of Thermal Sciences, 50(7), 1326-1332.
  18. [18]  Rana, P. and Bhargava, R. (2012), Flow and heat transfer of a nanofluid over a nonlinearly stretching sheet: a numerical study, Communications in Nonlinear Science and Numerical Simulation, 17(1), 212-226.
  19. [19]  Makinde, O.D., Mabood, F., Khan, W.A., and Tshehla, M.S. (2016), MHD flow of a variable viscosity nanofluid over a radially stretching convective surface with radiative heat, Journal of Molecular Liquids, 219, 624-630.
  20. [20]  Hayat, T., Ullah, I., Alsaedi, A., and Farooq, M. (2017), MHD flow of Powell-Eyring nanofluid over a non-linear stretching sheet with variable thickness, Results in Physics, 7, 189-196.
  21. [21]  Rasool, G. and Zhang, T. (2019), Characteristics of chemical reaction and convective boundary conditions in Powell-Eyring nanofluid flow along a radiative Riga plate, Heliyon, 5(4), e01479.
  22. [22]  Mustafa, M., Khan, J.A., Hayat, T., and Alsaedi, A. (2015), Analytical and numerical solutions for axisymmetric flow of nanofluid due to non-linearly stretching sheet, International Journal of Non-Linear Mechanics, 71, 22-29.
  23. [23]  Farooq, U., Afridi, M.I., Qasim, M., and Lu, D.C. (2018), Transpiration and viscous dissipation effects on entropy generation in hybrid nanofluid flow over a nonlinear radially stretching disk, Entropy, 20(9), 668.
  24. [24]  Madhu, M., Kishan, N., and Chamkha, A. (2016), Boundary layer flow and heat transfer of a non-Newtonian nanofluid over a non-linearly stretching sheet, International Journal of Numerical Methods for Heat $&$ Fluid Flow.
  25. [25]  Prabhakar, B., Bandari, S., and Reddy, C.S. (2019), A revised model to analyze MHD flow of maxwell nanofluid past a stretching sheet with nonlinear thermal radiation effect, International Journal of Fluid Mechanics Research, 46(2).
  26. [26]  Halim, N.A., Sivasankaran, S., and Noor, N.M. (2017), Active and passive controls of the Williamson stagnation nanofluid flow over a stretching/shrinking surface, Neural Computing and Applications, 28(1), 1023-1033.
  27. [27]  Muhammad, T., Alsaedi, A., Shehzad, S.A., and Hayat, T. (2017), A revised model for Darcy-Forchheimer flow of Maxwell nanofluid subject to convective boundary condition, Chinese Journal of Physics, 55(3), 963-976.
  28. [28]  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.
  29. [29]  Bestman, A.R. (1990), Natural convection boundary layer with suction and mass transfer in a porous medium, International Journal of Energy Research, 14(4), 389-396.
  30. [30]  Makinde, O.D., Olanrewaju, P.O., and Charles, W.M. (2011), Unsteady convection with chemical reaction and radiative heat transfer past a flat porous plate moving through a binary mixture, Afrika Matematika, 22(1), 65-78.
  31. [31]  Irfan, M., Khan, W.A., Khan, M., and Gulzar, M.M. (2019), Influence of Arrhenius activation energy in chemically reactive radiative flow of 3D Carreau nanofluid with nonlinear mixed convection, Journal of Physics and Chemistry of Solids, 125, 141-152.
  32. [32]  Dhlamini, M., Kameswaran, P.K., Sibanda, P., Motsa, S., and Mondal, H. (2019), Activation energy and binary chemical reaction effects in mixed convective nanofluid flow with convective boundary conditions, Journal of Computational Design and Engineering, 6(2), 149-158.
  33. [33]  Hayat, T., Riaz, R., Aziz, A. et al. (2020), Influence of Arrhenius activation energy in MHD flow of third grade nanofluid over a nonlinear stretching surface with convective heat and mass conditions, Physica A, DOI: {10.1016/j.physa.2019.124006}.
  34. [34]  Sultan, F., Khan, W.A., Ali, M., Shahzad, M., Sun, H., andIrfan, M. (2019), Importance of entropy generation and infinite shear rate viscosity for non-Newtonian nanofluid, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 41(10), 439.
  35. [35]  Ijaz, M., Yousaf, M., and El Shafey, A.M. (2020), Arrhenius activation energy and Joule heating for Walter-B fluid with Cattaneo--Christov double-diffusion model, Journal of Thermal Analysis and Calorimetry, 1-12.
  36. [36]  Butt, A.S. and Ali, A. (2014), Entropy analysis of magnetohydrodynamic flow and heat transfer over a convectively heated radially stretching surface, Journal of the Taiwan Institute of Chemical Engineers, 45(4), 1197-1203.

Copyright © 2011-2024 L & H Scientific Publishing. All rights reserved. Wildcard SSL Certificates