Helical flow of an Oldroyd-B fluid due to a circular cylinder subject to time-dependent shear stresses
作者： Corina Fetecau , M. Imran , C. Fetecau , I. Burdujan
DOI: 10.1007/S00033-009-0038-7
关键词:
摘要: Exact solutions corresponding to the unsteady helical flow of an Oldroyd-B fluid due infinite circular cylinder subject torsional and longitudinal time-dependent shear stresses are established using Hankel transforms. These solutions, presented under series form in terms Bessel functions J 0(·), 1(·) 2(·), can be easily specialized give similar for Maxwell, Second grade Newtonian fluids performing same motion. Some characteristics motion, as well influence pertinent parameters on velocity profiles, underlined by graphical illustrations.
springer.com
harvard.edu
sci-hub.se 参考文章(19)
Dengke Tong, Ruihe Wang, Heshan Yang, Exact solutions for the flow of non-Newtonian fluid with fractional derivative in an annular pipe Science in China Series G. ,vol. 48, pp. 485- 495 ,(2005) , 10.1360/04YW0105
Lokenath Debnath, Dambaru Bhatta, Integral transforms and their applications Chapman and Hall/CRC. ,(2014) , 10.1201/B17670
R. Bandelli, K.R. Rajagopal, Start-up flows of second grade fluids in domains with one finite dimension International Journal of Non-linear Mechanics. ,vol. 30, pp. 817- 839 ,(1995) , 10.1016/0020-7462(95)00035-6
N D Waters, M J King, The unsteady flow of an elastico-viscous liquid in a straight pipe of circular cross section Journal of Physics D. ,vol. 4, pp. 204- 211 ,(1971) , 10.1088/0022-3727/4/2/304
C. Fetecau, Corina Fetecau, D. Vieru, On some helical flows of Oldroyd-B fluids Acta Mechanica. ,vol. 189, pp. 53- 63 ,(2007) , 10.1007/S00707-006-0407-7
Rahmat Ali Khan, The generalized quasilinearization technique for a second order differential equation with separated boundary conditions Mathematical and Computer Modelling. ,vol. 43, pp. 727- 742 ,(2006) , 10.1016/J.MCM.2005.05.017
T. Hayat, M. Khan, Y. Wang, Non-Newtonian flow between concentric cylinders Communications in Nonlinear Science and Numerical Simulation. ,vol. 11, pp. 297- 305 ,(2006) , 10.1016/J.CNSNS.2004.11.007
Corina Fetecau, T. Hayat, Constantin Fetecau, Starting solutions for oscillating motions of Oldroyd-B fluids in cylindrical domains Journal of Non-newtonian Fluid Mechanics. ,vol. 153, pp. 191- 201 ,(2008) , 10.1016/J.JNNFM.2008.02.005
Dengke Tong, Yusong Liu, Exact solutions for the unsteady rotational flow of non-Newtonian fluid in an annular pipe International Journal of Engineering Science. ,vol. 43, pp. 281- 289 ,(2005) , 10.1016/J.IJENGSCI.2004.09.007
M. Khan, S. Nadeem, T. Hayat, A.M. Siddiqui, Unsteady motions of a generalized second-grade fluid Mathematical and Computer Modelling. ,vol. 41, pp. 629- 637 ,(2005) , 10.1016/J.MCM.2005.01.029