Numerical study of viscous dissipation and non-Boussinesq model effects on CMC–TiO2 fluid flow over backward facing step with baffle
Autor: | Seif-Eddine Ouyahia, Mahdi Benzema, W. Berabou, F. Danane, A. Boudiaf, Nabila Labsi, Youb Khaled Benkahla |
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Rok vydání: | 2018 |
Předmět: |
Physics
Richardson number Finite volume method 02 engineering and technology Mechanics 021001 nanoscience & nanotechnology Condensed Matter Physics 01 natural sciences Nusselt number 010406 physical chemistry 0104 chemical sciences Physics::Fluid Dynamics Combined forced and natural convection Heat transfer Fluid dynamics Brinkman number Streamlines streaklines and pathlines Physical and Theoretical Chemistry 0210 nano-technology |
Zdroj: | Journal of Thermal Analysis and Calorimetry. 135:787-799 |
ISSN: | 1588-2926 1388-6150 |
DOI: | 10.1007/s10973-018-7479-1 |
Popis: | The present work examined numerically the mixed convection of a non-Newtonian nanofluid flow through backward facing step with baffle. The Boussinesq and non-Boussinesq models are used to formulate the momentum equation, and the viscous dissipation is taken into account in the energy equation. The governing equations are discretized using the finite volume method. Effects of different key parameters such as Richardson number, temperature–viscosity coefficient, Brinkman number and power law index on both the heat transfer and the fluid flow characteristics are investigated. The results are presented in term of streamlines and isotherms contours as well as the average Nusselt number. The results show that both viscous dissipation and buoyancy forces affect greatly the flow and heat transfer structures. A multicellular zone is observed behind the step when considering the non-Boussinesq approximation for Ri ≥ 5 and taking into account viscous dissipation (Br = 0.5). In addition, the flow behavior for both Boussinesq and non-Boussinesq approximations is identical for Ri = 1 and totally different for Ri ≥ 5. Furthermore, in contrast of the non-Boussinesq approximation, considering the Boussinesq one overestimates the heat transfer rate, especially for low power law index values. |
Databáze: | OpenAIRE |
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