全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

Unsteady Mixed Convection Boundary Layer from a Circular Cylinder in a Micropolar Fluid

DOI: 10.1155/2010/417875

Full-Text   Cite this paper   Add to My Lib

Abstract:

Most industrial fluids such as polymers, liquid crystals, and colloids contain suspensions of rigid particles that undergo rotation. However, the classical Navier-Stokes theory normally associated with Newtonian fluids is inadequate to describe such fluids as it does not take into account the effects of these microstructures. In this paper, the unsteady mixed convection boundary layer flow of a micropolar fluid past an isothermal horizontal circular cylinder is numerically studied, where the unsteadiness is due to an impulsive motion of the free stream. Both the assisting (heated cylinder) and opposing cases (cooled cylinder) are considered. Thus, both small and large time solutions as well as the occurrence of flow separation, followed by the flow reversal are studied. The flow along the entire surface of a cylinder is solved numerically using the Keller-box scheme. The obtained results are compared with the ones from the open literature, and it is shown that the agreement is very good. 1. Introduction The unsteady nature of a wide range of fluid flows of practical importance has received considerable attention in recent years. In many applications, the ideal flow environment around a device is nominally steady, but undesirable unsteady effects arise either due to self-induced motion of the body, or due to the fluctuations or nonuniformities in the surrounding fluid. On the other hand, some devices are required to execute time-dependent motion in order to perform their basis functions (McCroskey [1]). The fluid dynamic aspects of some of these problems can normally be approximated by small departures from steady behavior, and some cannot. In general, unsteady viscous phenomena play an important role in the reentry of space vehicles. Such phenomena, as for example, the growth of separated bubble or the displacement of the point of separation also appear in the study of flow around a helicopter blade or stalling of airfoil. The rotor blades of helicopters in forward flight translate more nearly in the plane of rotation than axially. This introduces still another type of unsteadiness, because relative to the individual blade elements, the local approaching air stream varies periodically with large-amplitude fluctuations in its magnitude, yaw angle, and chordwise incidence (McCroskey [1]). Fluid motion in the human blood vessels is also unsteady and appears to involve regions of reversed flow. Unsteady viscous flows have been studied quite extensively and all the characteristic features of unsteady effects are now more or less familiar to fluid

References

[1]  W. J. McCroskey, “Some current research in unsteady fluid dynamics. The 1976 Freeman scholar lecture,” Journal of Fluids Engineering, vol. 99, no. 1, pp. 8–39, 1977.
[2]  K. Stewartson, “The theory of unsteady laminar boundary layers,” in Advances in Applied Mechanics, vol. 6, pp. 1–37, Academic Press, New York, NY, USA, 1960.
[3]  J. Stuart, “Unsteady boundary layers,” in Laminar Boundary Layers, L. Rosenhead, Ed., pp. 349–406, Clarendon Press, Oxford, UK, 1964.
[4]  N. Riley, “Unsteady laminar boundary layers,” SIAM Review, vol. 17, no. 2, pp. 274–297, 1975.
[5]  N. Riley, “Unsteady viscous flows,” Scientific Progress, vol. 74, pp. 361–377, 1990.
[6]  D. P. Telionis, Unsteady Viscous Flows, Springer, Berlin, Germany, 1981.
[7]  I. Pop, D. B. Ingham, and J. H. Merkin, “Transient convecive heat transfer in external flow,” in Time-Dependent Nonlinear Convection, P. A. Tyvand, Ed., vol. 19 of Advances in Fluid Mechanics, pp. 83–114, Computational Mechanics Publications, Southampton, UK, 1998.
[8]  W. M. Collins and S. C. R. Dennis, “The initial flow past an impulsively started circular cylinder,” Quarterly Journal of Mechanics and Applied Mathematics, vol. 26, no. 1, pp. 53–75, 1973.
[9]  W. M. Collins and S. C. R. Dennis, “Flow past an impulsively started circular cylinder,” Journal of Fluid Mechanics, vol. 60, no. 1, pp. 21–1973, 1973.
[10]  D. P. Telionis and D. Th Tsahalis, “Unsteady laminar separation over impulsively moved cylinders,” Acta Astronautica, vol. 1, no. 11-12, pp. 1487–1505, 1974.
[11]  M. Bar-Lev and H. T. Yang, “Initial flow field over an impulsively started circular cylinder,” Journal of Fluid Mechanics, vol. 72, no. 4, pp. 625–647, 1975.
[12]  V. A. Patel, “Time-dependent solutions of the viscous incompressible flow past a circular cylinder by the method of series truncation,” Computers & Fluids, vol. 4, no. 1, pp. 13–27, 1976.
[13]  S. Takao, “Short-time solution for unsteady forced convection heat transfer from an impulsively started circular cylinder,” International Journal of Heat and Mass Transfer, vol. 21, no. 12, pp. 1505–1516, 1978.
[14]  T. Cebeci, “Heat transfer from a circular cylinder impulsively started from rest,” Numerical Heat Transfer, Part A, vol. 1, no. 4, pp. 557–567, 1978.
[15]  T. Cebeci, “The laminar boundary layer on a circular cylinder started impulsively from rest,” Journal of Computational Physics, vol. 31, no. 2, pp. 153–172, 1979.
[16]  D. B. Ingham, “Unsteady separation,” Journal of Computational Physics, vol. 53, no. 1, pp. 90–99, 1984.
[17]  S. Nam, “Higher-order boundary-layer solution for unsteady motion of a circular cylinder,” Journal of Fluid Mechanics, vol. 214, pp. 89–110, 1990.
[18]  A. Ali, N. Amin, and I. Pop, “The unsteady boundary layer flow past a circular cylinder in micropolar fluids,” International Journal of Numerical Methods for Heat and Fluid Flow, vol. 17, no. 7, pp. 692–714, 2007.
[19]  J. H. Merkin, “Mixed convection from a horizontal circular cylinder,” International Journal of Heat and Mass Transfer, vol. 20, no. 1, pp. 73–77, 1977.
[20]  D. B. Ingham and J. H. Merkin, “Unsteady mixed convection from an isothermal circular cylinder,” Acta Mechanica, vol. 38, no. 1-2, pp. 55–69, 1981.
[21]  R. Nazar, N. Amin, and I. Pop, “Mixed convection boundary-layer flow from a horizontal circular cylinder in micropolar fluids: case of constant wall temperature,” International Journal of Numerical Methods for Heat & Fluid Flow, vol. 13, no. 1, pp. 86–109, 2003.
[22]  A. C. Eringen, “Theory of micropolar fluids,” Journal of Mathematics and Mechanics, vol. 16, pp. 1–18, 1966.
[23]  T. Ariman, M. A. Turk, and N. D. Sylvester, “Microcontinuum fluid mechanics—a review,” International Journal of Engineering Science, vol. 11, no. 8, pp. 905–930, 1973.
[24]  T. Ariman, M. A. Turk, and N. D. Sylvester, “Applications of microcontinuum fluid mechanics,” International Journal of Engineering Science, vol. 12, no. 4, pp. 273–293, 1974.
[25]  A. C. Eringen, Microcontinuum Field Theories. II: Fluent Media, Springer, New York, NY, USA, 2001.
[26]  G. ?ukaszewicz, Micropolar Fluids: Theory and Application, Birkhauser, Basel, Switzerland, 1999.
[27]  V. L. Kolpashchikov, N. P. Migun, and P. P. Prokhorenko, “Experimental determination of material micropolar fluid constants,” International Journal of Engineering Science, vol. 21, no. 4, pp. 405–411, 1983.
[28]  M. Kumari and G. Nath, “Unsteady incompressible boundary layer flow of a micropolar fluid at a stagnation point,” International Journal of Engineering Science, vol. 22, no. 6, pp. 755–768, 1984.
[29]  R. S. Agarwal, R. Bhargava, and A. V. S. Balaji, “Finite element solution of nonsteady three-dimensional micropolar fluid flow at a stagnation-point,” International Journal of Engineering Science, vol. 28, no. 8, pp. 851–857, 1990.
[30]  G. Ahmadi, “Self-similar solution of imcompressible micropolar boundary layer flow over a semi-infinite plate,” International Journal of Engineering Science, vol. 14, no. 7, pp. 639–646, 1976.
[31]  G. S. Guram and A. C. Smith, “Stagnation flows of micropolar fluids with strong and weak interactions,” Computers & Mathematics with Applications, vol. 6, no. 2, pp. 213–233, 1980.
[32]  S. K. Jena and M. N. Mathur, “Similarity solutions for laminar free convection flow of a thermomicropolar fluid past a non-isothermal vertical flat plate,” International Journal of Engineering Science, vol. 19, no. 11, pp. 1431–1439, 1981.
[33]  C.-Y. Cheng and C.-C. Wang, “Forced convection in micropolar fluid flow over a wavy surface,” Numerical Heat Transfer, Part A, vol. 37, no. 3, pp. 271–287, 2000.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133