The objectives of present communication are threefolds. First is to model and analyze the two-dimensional Darcy-Forchheimer flow of Maxwell fluid induced by a stretching surface. Temperature-dependent thermal conductivity is taken into account. Second is to examine the heat transfer process through non-classical flux by Cattaneo-Christov theory. Third is to derive convergent homotopic solutions for velocity and temperature distributions. The paper aims to discuss these issues.
The resulting non-linear system is solved through the homotopy analysis method.
An increment in Deborah number β causes a reduction in velocity field f′(η) while opposite behavior is observed for temperature field θ(η). Velocity field f′(η) and thickness of momentum boundary layer are decreased when the authors enhance the values of porosity parameter λ while opposite behavior is noticed for temperature profile θ(η). Temperature field θ(η) is inversely proportional to the thermal relaxation parameter γ. The numerical values of temperature gradient at the sheet − θ′(0) are higher for larger values of thermal relaxation parameter γ.
To the best of author’s knowledge, no such consideration has been given in the literature yet.
This project was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, Saudi Arabia under Grant No. 31-130-36-HiCi. The authors, therefore, acknowledge with thanks DSR technical and financial support.
Hayat, T., Muhammad, T., Al-Mezal, S. and Liao, S. (2016), "Darcy-Forchheimer flow with variable thermal conductivity and Cattaneo-Christov heat flux", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 26 No. 8, pp. 2355-2369. https://doi.org/10.1108/HFF-08-2015-0333Download as .RIS
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