Convective heat transfer and second law analysis of non-Newtonian fluid flows with variable thermophysical properties in circular channels |
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| Affiliation: | 1. Department of Mechanical Engineering, University of Sistan and Baluchestan, Zahedan, Iran;2. Department of Mechanical Engineering, University of Kashan, Kashan, Iran;3. Fluid Mechanics, Thermal Engineering and Multiphase Flow Research Lab. (FUTURE), Department of Mechanical Engineering, Faculty of Engineering, King Mongkut''s University of Technology Thonburi, Bangmod, Bangkok 10140, Thailand;1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;2. Department of Mathematics, University of Malakand, Lower Dir, KPK, Pakistan;3. DBS&H, CEME, National University of Sciences and Technology, Islamabad, Pakistan;4. Equipe E3MI, D´epartement de Math''ematique, FST Errachidia, Universit''e Moulay Ismail, BP.509, Boutalamine, 52000 Errachidia, Morocco;1. Advanced Technology Development Centre, Indian Institute of Technology Kharagpur, India;2. Department of Chemical Engineering, Indian Institute of Technology Kharagpur, India;3. Department of Mechanical Engineering, Indian Institute of Technology Kharagpur, India |
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| Abstract: | This study presents an analytical solution, for fully developed non-Newtonian fluid flows in circular channels under isoflux thermal boundary conditions based on perturbation techniques. Since the physical properties are generally a function of temperature and may not be assumed constant under certain circumstances, the change in viscosity and thermal conductivity with temperature was taken into account. Viscous dissipation term was also included in the performed analysis. In this study, first closed form expressions for velocity, temperature distributions, and Nusselt numbers corresponding to constant thermophysical properties were given in terms of governing parameters. Then, numerical calculation was performed to obtain the values of Nusselt number and global entropy generation for variable thermophysical properties. The results revealed that neglecting the property variation significantly affects heat transfer characteristics and entropy generation, in which the deviation from the constant physical property assumption may reach up to about 32.6%. |
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