International Scientific Journal


Homotopic solutions for Jeffrey material in frames of buoyancy forces are constructed in this research. The improved Fourier-Fick laws are considered for formulation. In addition, variable liquid aspects (thermal conductivity, mass diffusiv¬ity) along with heat source are accounted. Prandtl’s boundary-layer idea is utilized to model the problem. Involvement of similarity variables resulted into non-linear system of coupled equations. The well-known homotopic scheme is employed for non-linear analysis. Besides, a comprehensive discussion is reported for arising dimensionless variables vs. significant profiles. Our results indicate a rise in thermal and solutal fields when variable conductivity and mass diffusivity parameters are increased.
PAPER REVISED: 2019-07-24
PAPER ACCEPTED: 2019-08-03
CITATION EXPORT: view in browser or download as text file
  1. C.S.K. Raju, N. Sandeep and M.G. Reddy, Effect of nonlinear thermal radiation on 3D Jeffrey fluid flow in the presence of homogeneous-heterogeneous reactions, International Journal of Engineering Research in Africa 21 (2016) 52-68.
  2. T. Hayat, G. Bashir, M. Waqas and A. Alsaedi, MHD flow of Jeffrey liquid due to a nonlinear radially stretched sheet in presence of Newtonian heating, Results in Physics 6 (2016) 817-823.
  3. T. Hayat, M. Waqas, M. I. Khan and A. Alsaedi, 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 (2017) 302-310.
  4. M. A. Imran, F. Miraj, I. Khan and I. Tlili, MHD fractional Jeffrey's fluid flow in the presence of thermo diffusion, thermal radiation effects with first order chemical reaction and uniform heat flux, Results in Physics 10 (2018) 10-17.
  5. M. Waqas, S. A. Shehzad, T. Hayat, M. I. Khan and A. Alsaedi, Simulation of magnetohydrodynamics and radiative heat transport in convectively heated stratified flow of Jeffrey nanofluid, Journal of Physics and Chemistry of Solids 133 (2019) 45-51.6
  6. J. B. J. Fourier, Théorie Analytique De La Chaleur, Paris 1822.
  7. C. I. Christov, On frame indifferent formulation of the Maxwell-Cattaneo model of finitespeed heat conduction, Mechanics Research Communications, 36 (2009) 481-486.
  8. V. Tibullo and V. Zampoli, A uniqueness result for the Cattaneo-Christov heat conduction model applied to incompressible fluids, Mechanics Research Communications 38 (2011) 77-79.
  9. S. A. M. Haddad, Thermal instability in Brinkman porous media with Cattaneo-Christov heat flux, International Journal of Heat and Mass Transfer 68 (2014) 659-668.
  10. M. Y. Malik, Mair Khan, T. Salahuddin and I. Khan, Variable viscosity and MHD flow in Casson fluid with Cattaneo--Christov heat flux model: Using Keller box method, Engineering Science and Technology, an International Journal 19 (2016) 1985-1992.
  11. M. Waqas, T. Hayat, S. A. Shehzad and A. Alsaedi, Analysis of forced convective modified Burgers liquid flow considering Cattaneo-Christov double diffusion, Results in Physics 8 (2018) 908-913.
  12. M. Khan, A. Shahid, M. Y. Malik and T. Salahuddin, Thermal and concentration diffusion in Jeffery nanofluid flow over an inclined stretching sheet: A generalized Fourier's and Fick's perspective, Journal of Molecular Liquids 251 (2018) 7-14.
  13. M. Khan, A. Hussain, M. Y. Malik, T. Salahuddin and S. Aly, Numerical analysis of Carreau fluid flow for generalized Fourier's and Fick's laws, Applied Numerical Mathematics 144 (2019) 100-117.
  14. M. Waqas, M. I. Khan, T. Hayat and A. Alsaedi, A generalized Fourier and Fick's perspective for stretching flow of Burgers fluid with temperature-dependent thermal conductivity, Thermal Science (2018) DOI: 10.2298/TSCI171025082W.
  15. M. Khan, T. Salahuddin, M. Y. Malik, An immediate change in viscosity of Carreau nanofluid due to double stratified medium: application of Fourier's and Fick's laws, Journal of the Brazilian Society of Mechanical Sciences and Engineering 40 (2018) 457.
  16. S. Liao, On the homotopy analysis method for nonlinear problems, Applied Mathematics and Computation 147 (2004) 499-513.
  17. M. Waqas, M. Farooq, M. I. Khan et al., Magnetohydrodynamic (MHD) mixed convection flow of micropolar liquid due to nonlinear stretched sheet with convective condition, nternational Journal of Heat and Mass Transfer 102 (2016) 766-772.
  18. G. Akram M. Sadaf, Application of homotopy analysis method to the solution of ninth order boundary value problems in AFTI-F16 fighters, Journal of the Association of Arab Universities for Basic and Applied Sciences 24 (2017) 149-155.
  19. T. Hayat, S. Qayyum, M. Farooq and A. Alsaedi, Mixed convection flow of Jeffrey fluid along an inclined stretching cylinder with double stratification effect, Thermal Science 21 (2017) 849-862.
  20. 20 : M. Khan, M. Irfan and W.A. Khan, Impact of nonlinear thermal radiation and gyrotactic microorganisms on the Magneto-Burgers nanofluid, International Journal of Mechanical Sciences 130 (2017) 375-382.
  21. M. Waqas, S. Jabeen, T. Hayat, M. I. Khan and A. Alsaedi, Modeling and analysis for magnetic dipole impact in nonlinear thermally radiating Carreau nanofluid flow subject to heat generation, Journal of Magnetism and Magnetic Materials 485 (2019) 197-204.
  22. M. Irfan, W. A. Khan, M. Khan, M. M. Gulzar, 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 (2019) 141-152.
  23. M. Irfan, M. Khan, W. A. Khan, Impact of non-uniform heat sink/source and convective condition in radiative heat transfer to Oldroyd-B nanofluid: A revised proposed relation. Physics Letters A 383 (2018) 376-382.
  24. M. Waqas, A mathematical and computational framework for heat transfer analysis of ferromagnetic non-Newtonian liquid subjected to heterogeneous and homogeneous reactions, Journal of Magnetism and Magnetic Materials (2019) DOI: 10.1016/j.jmmm.2019.165646.
  25. M. I. Khan, M. Waqas, T. Hayat and A. Alsaedi, A comprehensive note on thermally stratified flow and non-Fourier heat flux theory, Thermal Science (2018) DOI: 10.2298/TSCI171126140K.
  26. M. Waqas, S. Naz, T. Hayat, S. A. Shehzad and A. Alsaedi, Effectiveness of improved Fourier-Fick laws in a stratified non-Newtonian fluid with variable fluid characteristics, International Journal of Numerical Methods for Heat & Fluid Flow 29 (2019) 2128-2145.

© 2020 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence