Darcy-Forchheimer flow with variable thermal conductivity and Cattaneo-Christov heat flux. Issue 8 (7th November 2016)

• Record Type: Journal Article
• Authors: Hayat, T.; Muhammad, Taseer; Al-Mezal, Saleh; Liao, S.J.
• Is Part Of: International journal of numerical methods for heat & fluid flow. Volume 26:Issue 8(2016)
• Page Start: 2355
• Page End: 2369
• Publication Date: 2016-11-07
• Subjects: Maxwell fluid -- Porous medium -- Variable thermal conductivity -- Cattaneo-Christov heat flux; Heat -- Transmission -- Mathematics -- Periodicals; Fluid dynamics -- Mathematics -- Periodicals; 536.2
• DOI: 10.1108/HFF-08-2015-0333
• Languages: English
• ISSNs: 0961-5539

Abstract

Abstract : Purpose: 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. Design/methodology/approach: The resulting non-linear system is solved through the homotopy analysis method. Findings: 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. Originality/value: To the best of author's knowledge, no such consideration has been given in the literature yet.