Derivation of turbulent energy of fiber suspensions

Ahmed, S. F.; Sarker, M. S. A. Sarker

doi:10.22061/jcarme.2015.273

تعداد نشریات	13
تعداد شماره‌ها	238
تعداد مقالات	2,418
تعداد مشاهده مقاله	3,962,357
تعداد دریافت فایل اصل مقاله	2,874,081

	Derivation of turbulent energy of fiber suspensions
Journal of Computational & Applied Research in Mechanical Engineering (JCARME)
مقاله 5، دوره 4، شماره 2 - شماره پیاپی 8، فروردین 2015، صفحه 155-163 اصل مقاله (698.42 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22061/jcarme.2015.273
نویسندگان
S. F. Ahmed^* ¹؛ M. S. A. Sarker Sarker²
¹Department of Mathematics, Prime University, Dhaka-1216, Bangladesh
²Department of Mathematics, University of Rajshahi,Rajshahi-6205, Bangladesh
تاریخ دریافت: 27 مهر 1392، تاریخ بازنگری: 22 بهمن 1392، تاریخ پذیرش: 10 اسفند 1393
چکیده
The energy equation for turbulent flow of fiber suspensions was derived in terms of second order correlation tensors. Fiber motion of turbulent energy including the correlation between pressure fluctuations and velocity fluctuations was discussed at two points of flow field, at which the correlation tensors were the functions of space coordinates, distance between two points, and time.
کلیدواژه‌ها
Energy equation؛ Turbulent flow؛ Fiber suspensions؛ Correlation tensor

مراجع
[1] Lundell, L. Soderberg and P. Alfredsson, “Fluid mechanics of papermaking”, Annual Review of Fluid Mechanics, Vol. 43, pp. 195-217, (2011). [2] Zhen-Jiang, L. Jian-Zhong, S. Xueming and Z. Wei-Feng, “Stability and drag reduction in transient channel flow of fiber suspension”, Chinese Journal of Chemical Engineering, Vol. 12, No. 3, pp. 319-323, (2004). [3] Z. Lin and Z. J. You, “Stability in channel flow with fiber suspensions”, Progress in Natural Science, Vol. 13, No. 2, pp. 95-99, (2003). [4] Bracco, P. H. Chavanis and A. Provenzale, “Particle aggregation in a turbulent Keplerian flow”, Physics of Fluids, Vol. 11, No. 8, pp. 2280-2287, (1999). [5] A. Luketina and J. Imberger, “Determining turbulent kinetic energy dissipation from batchelor curve fitting”, Journal of Atmospheric and Oceanic Technology, Vol. 18, No. 1, pp. 100-113, (2001). [6] R. Osborn, “Estimates of the local rate of vertical diffusion from dissipation measurements”, Journal of Physical Oceanography, Vol. 10, No. 1, pp. 83-89, (1980). [7] T. Crowe, T. R. Troutt and J. N. Chung, “Numerical models for two-phase turbulent flows”, Annual Review of Fluid Mechanics, Vol. 28, pp. 11-43, (1996). [8] S. Oakey, “Determination of the rate of dissipation of turbulent energy from simultaneous temperature and velocity shear microstructure measurements”, Journal of Physical Oceanography, Vol. 12, No. 3, pp. 256-271, (1982). [9] B. Saito and M. J. S. de Lemos, “A macroscopic two-energy equation model for turbulent flow and heat transfer in highly porous media”, International Journal of Heat and Mass Transfer, Vol. 35, No. 11-12, pp. 2424-2433, (2010). [10] Jian-Zhong, Z. Wei-Feng and W. Ye-Long, “Research on the orientation distribution of fibers immersed in a pipe flow”, Journal of Zhejiang University Scence , Vol. 3, No. 5, pp. 501-506, (2002). [11] Jian-Zhong, L. Jun and Z. Wei-Feng, “Orientation distribution of fibers in a channel flow of fiber suspension”, Chinese Physics, Vol. 14, No. 12, pp. 2529-2538, (2005). [12] F. Zhang and J. Z. Lin, “Research on the motion of particles in the turbulent pipe flow of fiber suspensions”, Applied Mathematics and Mechanics, Vol. 25, No. 7, pp. 741-750, (2004). [13] Jian-Zhong, L. Jun, Z. LI, and J. A. Olson, “New equation of turbulent fiber suspensions and its solution and application to the pipe flow”, Chinese Physics, Vol. 14, No. 6, pp. 1185-1192, (2005). [14] Andersson, “Some observation of fiber suspensions in turbulent motion”, Svensk papperstidn, Vol. 69, No. 2, pp. 23-31, (1966). [15] O. Hinze, Turbulence, 2^nd ed., McGraw-Hill Co., New York, pp. 27-135, (1975). [16] Chandrasekhar, “Hydro magnetic Turbulence. II. An Elementary Theory”, Proceedings of the Royal Society, Vol. 233, No. 1194, pp. 330-350, (1955). [17] F. Ahmed and M. S. A. Sarker, “Fiber suspensions in Turbulent Flow with Two-Point Correlation”, Bangladesh Journal of Scientific and Industrial Research, Vol. 46, No. 2, pp. 265-270, (2011). [18] S. A. Sarker and S. F. Ahmed, “Motion of fibers in turbulent flow in a rotating system”, Rajshahi University Journal of Science, Vol. 37, No. 1, pp. 107-117, (2009). [19] F. Ahmed, “Turbulent energy for dusty fluid in a rotating system”, International Journal of Applied Mathematics and Mechanics, Vol. 9, No. 1, pp. 50-61, (2013). [20] F. Ahmed, “Derivation of turbulent energy in a rotating system”, Journal of Computational and Applied Research in Mechanical Engineering, Vol. 3, No. 1, pp. 75-83, (2013). [21] S. Alam Sarker and S. F. Ahmed, “Fiber Motion in Dusty Fluid Turbulent Flow with Two-point Correlation”, Journal of Scientific Research, Vol. 3, No. 2, pp. 283-290, (2011). [22] Mathematics, Vol. 1, No. 4, pp. 71-77 (2013). [23] F. Ahmed and M. S. A. Sarker, “Fiber Motion in Dusty Fluid Turbulent Flow in a Rotating System”, International Journal of Applied Mathematics and Mechanics, Vol.10, No. 12, pp 92-109, (2014).
آمار تعداد مشاهده مقاله: 2,652 تعداد دریافت فایل اصل مقاله: 1,658

سامانه مدیریت نشریات علمی. طراحی و پیاده سازی از سیناوب

پیوندهای مفید

آمار

Derivation of turbulent energy of fiber suspensions