Application of improved Fourier’s and Fick’s laws in a non-Newtonian fluid with temperature-dependent thermal conductivity

  • M. Waqas
  • T. Hayat
  • S. A. Shehzad
  • A. Alsaedi
Technical Paper


An analysis is presented to report the notable features of non-Fourier’s double diffusion model in stretchable flow of modified Burgers liquid. The flow phenomenon is due to impermeable stretched sheet. The energy and mass expressions are modeled utilizing concept of non-Fourier’s double diffusion. Heat transfer mechanism is characterized within the frame of variable thermal conductivity. Relevant variables reduced the non-linear partial differential expressions into the ordinary differential expressions. Series solutions of established systems are obtained within the frame of homotopy concept. Convergence is attained and acceptable values are certified by expressing the so-called \(\hbar\) curves. Temperature and concentration are further disclosed and argued for several variables through graphs. Higher values of thermal/concentration relaxation time lead to decay in temperature and concentration.


Improved Fourier’s and Fick’s laws Burgers fluid Variable thermal conductivity Impermeable stretched sheet 


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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2018

Authors and Affiliations

  • M. Waqas
    • 1
  • T. Hayat
    • 1
    • 2
  • S. A. Shehzad
    • 3
  • A. Alsaedi
    • 2
  1. 1.Department of MathematicsQuaid-i-Azam University 45320IslamabadPakistan
  2. 2.Department of Mathematics, Faculty of Science, Nonlinear Analysis and Applied Mathematics (NAAM) Research GroupKing Abdulaziz UniversityJeddahSaudi Arabia
  3. 3.Department of MathematicsCOMSATS Institute of Information TechnologySahiwalPakistan

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