Cross Diffusion and Internal Heat Generation Effects on Mixed Convection of Non-Newtonian Fluids Flow Adjacent to a Vert
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ORIGINAL ARTICLE
Cross Diffusion and Internal Heat Generation Effects on Mixed Convection of Non-Newtonian Fluids Flow Adjacent to a Vertical VHF/VMF Wedge in Porous Media: the Entire Regime Kuo-Ann Yih 1 & Chuo-Jeng Huang 1 Received: 7 January 2020 / Accepted: 30 August 2020 # Springer Nature B.V. 2020
Abstract The problem of cross diffusion (Soret/Dufour) and internal heat generation effects on combined convection flow of nonNewtonian fluids flow over the vertical wedge in a saturated porous medium with the entire regime is solved numerically. The internal heat generation is assumed to be an exponential decaying form. The power law model of Ostwald-de-Waele for nonNewtonian fluids is considered here. The entire regime of the combined convection is included, as the combined convection parameter varies from 0 (pure free convection) to 1 (pure forced convection). The transformed equations are obtained by using a suitable coordinate transformation and then Keller box method (KBM) is utilized to solve the non-similar equations for the variable heat flux and variable mass flux (VHF/VMF) conditions. Comparisons with the previously published article are performed and the good agreement is achieved. The main numerical results for the dimensionless temperature and concentration distributions, the local Nusselt and Sherwood numbers are obtained. Keywords Cross diffusion . Internal heat generation . Non-Newtonian fluid combined convection . Porous medium . Vertical VHF/VMF wedge . Entire regime
Introduction The research of the coupled heat and transfer owing to the thermal and solutal buoyancy forces in a porous media has many applications, such as the aircraft coatings, pitot tube system, aircraft air intake, petroleum recovery, filtration processes, sensible heat storage beds, extraction of geothermal energy and nuclear reactor cooling system. Na and Pop (1983) studied numerically free convection flow past a vertical flat plate embedded in a saturated porous medium. Free convection from a vertical plate with nonuniform surface heat flux and embedded in a porous medium was reported by Gorla and Tornabene (1988). Dutta and Seetharamu (1993) analyzed free convection in a saturated porous medium adjacent to a vertical impermeable wall subjected to a non-uniform heat flux. Hsieh * Chuo-Jeng Huang [email protected] Kuo-Ann Yih [email protected] 1
Department of Aircraft Engineering, Air Force Institute of Technology, Kaohsiung, Taiwan, Republic of China
et al. (1993) utilized the Keller box method (KBM) and the mixed convection parameter to study the mixed convection along a vertical flat plate maintained with the boundary condition of variable heat flux (VHF) embedded in a porous medium: the entire regime ranging from pure forced convection to pure natural convection. Non-similar solutions for mixed convection on an isothermal wedge embedded in a porous medium were solved by Vargas et al. (1995). Kumari and Gorla (1997) Combined convection along a non-isothermal wedge (variable wall temperature: VWT) in a porous mediu
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