Transient Analysis of Heat and Mass Transfer via Natural Convection over a Vertical Complex Wavy Surface

ADMT Journal

مقاله 7، دوره 11، شماره 1، خرداد 2018، صفحه 61-69   

نوع مقاله: Original Article

نویسندگان

Morteza Ghadimi^{* 1}؛ Amir Lotfi²؛ Cyrus Aghanajafi²

¹Young Researchers and Elites Club, Science and Research Branch, Islamic Azad University, Tehran, Iran

²Department of Mechanical Engineering, K.N.Toosi University of Technology, Tehran, Iran

چکیده

A numerical study of transient natural convection heat and mass transfer along a vertical complex wavy surface has been performed. A complex wavy surface was created from two sinusoidal functions, a fundamental wave and its first harmonic. The complex wavy surface is maintained at uniform wall temperature and constant wall concentration. An implicit finite-difference scheme is used for analysis. The numerical results demonstrate that the additional harmonic substantially alters the flow field, temperature and concentration distribution near the surface. Also the numerical results show that the local heat and mass transfer rate for a complex surface are smaller than of a flat plate. This decreased local heat and mass transfer rate seems to depend on the ratio of amplitude surface.

کلیدواژه‌ها

heat transfer؛ Mass transfer؛ Natural convection؛ Wavy surface

مراجع

[1]     Gebhart, H., Pera, L., “The Nature of Vertical Natural Convection Flows Resulting from the Combined Buoyancy Effects of Thermal and Mass Diffusion”, Int. J. Heat Mass Transfer, Vol. 14, No. 8, 1971, pp. 2025- 2050.

[2]     Parvin, S., Hossain, N. F., “Finite Element Simulation of MHD Combined Convection through a Triangular Wavy Channel Convection”, Int. Communication. Heat. Mass. Transfer, Vol. 39, No. 6, 2012, pp. 811- 817.

[3]     Turkilmazoglu, M., “Multiple Solution of Hydromagnetic Permeable Flow and Heat for Viscoelastic Fluid”, J. Thermophysics. Heat. Transfer, Vol. 25, No. 4, 2011, pp. 595- 605.

[4]     Al-amir, A., Khanafar, K., “Fluid-Structure Interaction Analysis of Mixed Convection Heat Transfer in a Lid Driven Cavity with a Flexible Bottom Wall”, Int. J. Heat Mass Transfer, Vol. 54, No. 17-18, 2011, pp. 3826- 3836.

[5]     Yan, W. M., Lin, D., “Natural Convection Heat and Mass Transfer in Vertical Annuli with Film Evaporation and Condensation”, Int. J. Heat Mass Transfer, Vol. 44, No. 7, 2001, pp. 1143- 1151.

[6]     Chang, C. J., Lin, T. F., and Yan, W. M., “Natural Convection Flow in a Vertical Open Tube Resulting from Combined Buoyancy Effects of Thermal and Mass Diffusion”, Int. J. Heat Mass Transfer, Vol. 29, No. 10, 1986, pp. 1543- 1552.

[7]     Bottemanne, F. A., “Theoretical Solution of Simultaneous Heat and Mass Transfer by Free Convection about a Vertical Flat Plate”, Appl. Sci. Res. 25, Vol. 29, No. 1, 1971, pp. 137- 149.

[8]     Kleinstreuer, C., Wang, T. Y., “Thermal Convection on Micropolar Fluids Past Two-Dimensional or Axisymmetric Bodies with Suction/Injection”, Int. J. Eng. Sci. 25, Vol. 26, No. 3, 1988, pp. 1266- 1277.

[9]     Chiu, C. P., Chou H. M., “Transient Analysis of Natural Convection Along a Vertical Wavy Surface in Micropolar Fluids”, Int. J. Eng. Sci, Vol. 32, No. 2, 1994, pp. 19- 33.

[10]  Yih, K. A., “Uniform Transpiration Effect on Combined Heat and Mass Transfer by Natural Convection Over a Cone in Saturated Porous Media: Uniform Wall Temperature/Concentration or Heat/Mass Flux”, Int. J. Eng. Sci. Vol. 42, No. 8, 1999, pp. 3533- 3537.

[11]  Mustafa, I., Javed, T., and Ghaffari, A., “Hydromagnetic Natural Convection Flow of Water-Based Nanofluid along a Vertical Wavy Surface with Heat Generation”, J. Molecular. Liquids. Vol. 229, No. 4, 2017, pp. 246- 254.

[12]  Oosthuizen, P. H., “External Natural Convective Heat Transfer from Bodies Having a Wavy Surface for Conditions Under Which Laminar, Transitional, and Turbulent Flow Can Exist”, Adv. Heat. Transfer. Vol. 48, No. 1, 2016, pp. 261- 317.

[13]  Muthtamilselvan, M., Prakash, D., and Doh, D. H., “Effect of Thermal Non-Equilibrium on Transient Hydromagnetic Flow Over a Moving Surface in a Nanofluid Saturated Porous Media”, J. Mech. Sci. Tech. Vol. 28, No. 9, 2014, pp. 3709- 318.

[14]  Umavathi, J. C., Shekar, M., “Effect of Thermal Non-Equilibrium on Transient Hydromagnetic Flow Over a Moving Surface in a Nanofluid Saturated Porous Media”, Heat. Trans. Eng. Vol. 36, No. 1, 2015, pp. 1- 20.

[15]  Karami, A., Yousefi, T., Harsini, I., Maleki, E., and Mahmoudinezhad, S., “Neuro-Fuzzy Modeling of the Free Convection Heat Transfers from a Wavy Surface”, Heat. Trans. Eng. Vol. 36, No. 9, 2015, pp. 847- 855.