Slip flow along an impulsively started cylinder

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• 作者：L. J. Crane ; A. G. McVeigh
• 关键词：Bingham number ; Slip flow ; Electrospinning ; Laplace transform
• 刊名：Archive of Applied Mechanics (Ingenieur Archiv)
• 出版年：2015
• 出版时间：June 2015
• 年：2015
• 卷：85
• 期：6
• 页码：831-836
• 全文大小：404 KB
• 参考文献：1.Sill, T.J., von Recum, H.A.: Electrospinning: applications in drug delivery and tissue engineering. Biomaterials 29(13), 1989鈥?006 (2008)View Article
  2.Miao, J., Miyauchi, M., Simmons, T.J., Dordick, J.S., Linhardt, R.J.: Electrospinning of nanomaterials and applications in electronic components and devices. J. Nanosci. Nanotechnol. 10, 5507鈥?519 (2010)View Article
  3.Lyons, J., Ko, F.: Melt electrospinning of polymers. Polym. News 30鈥?, 7 (2005)
  4.Reneker, D.H., Yarin, A.L., Zussman, E., Xu, H.: Electrospinning of nanofibers from polymer solutions and melts. Adv. Appl. Mech. 41, 43鈥?95 (2007)View Article
  5.Teo, W.E., Ramatrishna, S.: A review of electrospinning design and nanofiber assemblies. Nanotechnology 17, 89鈥?06 (2006)View Article
  6.Yarin, A.L., Zussman, E.: Electrospinning of nanofibers from polymer solutions. XXI ICTAM, Warsaw, Poland (2004)
  7.Navier, C.L.M.H.: M茅moire sur les lois du mouvement des fluides. M茅m. Acad. R. Sci. Inst. France 6, 389鈥?40 (1823)
  8.Matthews, M.T., Hill, J.M.: Flow around nanospheres and nanocylinders. Q. J. Mech. Appl. Math. 59鈥?, 191鈥?10 (2006)View Article MathSciNet
  9.Matthews, M.T., Hill, J.M.: Newtonian flow with nonlinear Navier boundary condition. Acta Mech. 191, 195鈥?17 (2007)View Article MATH
  10.Goldstein, S.: Some two-dimensional diffusion problems with circular symmetry. Proc. Lond. Math. Soc. 2(34), 51鈥?8 (1932)View Article
  11.Batchelor, G.K.: The skin friction on infinite cylinders moving parallel to their length. Q. J. Mech. Appl. Math. 7, 179鈥?92 (1954)View Article MATH MathSciNet
  12.Jaeger, J.C., Chamalaun, T.: Heat flow in an infinite region bounded internally by a circular cylinder with forced convection at the surface. Aust. J. Phys. 19, 475鈥?88 (1966)View Article
  13.Basset, A.B.: On the motion of a sphere in a viscous fluid. Phil. Trans. R. Soc. Lond. A179, 43鈥?3 (1888)View Article
  14.Lawrence, C.J., Weinbaum, S.: The force on an axisymmetric body in linearized, time-dependent motion: a new memory term. J. Fluid Mech. 171, 209鈥?18 (1986)View Article MATH
  15.Crane, L.J.: Flow past a stretching plate. Z. Angew. Math. Phys. 21, 645鈥?47 (1970)View Article
  16.Andersson, H.I.: Slip flow past a stretching surface. Acta Mech. 158, 121鈥?25 (2002)View Article MATH
  17.Jaeger, J.C., Clarke, M.: A short table of \(\int ^{\infty }_{0}\frac{\text{ exp } (-xu^2)}{\left[J_{0}^2(u)+Y_{0}^2(u)\right]u}du\) . Proc. R. Soc. Edinb. 61A, p223 (1941)
  
• 作者单位：L. J. Crane (1)
  A. G. McVeigh (1)
  
  1. Institute for Numerical Computation and Analysis, Suite 6, 5 Clarinda Park North, D煤n Laoghaire, County Dublin, Ireland
  
• 刊物类别：Engineering
• 刊物主题：Theoretical and Applied Mechanics
  Mechanics
  Complexity
  Fluids
  Thermodynamics
  Systems and Information Theory in Engineering
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-0681

文摘

This paper reports on the time-dependent axisymmetric flow of a viscous, incompressible fluid along a moving circular cylinder having infinite extent. A mathematical account is given to unsteady motion, in which the governing non-dimensional equations are obtained in the presence of a velocity-slip boundary condition near the cylinder wall. In the case where the cylinder is started impulsively from rest in (initially) still air, the Bingham number is obtained by means of Laplace transform techniques with particular emphasis regarding the cylinder in motion with uniform velocity and acceleration. The effects of the momentum slip length parameter on the shear stress are determined and presented.