A note on sinusoidal motion of a viscoelastic non-Newtonian fluid
作者： A. Mahmood , N. A. Khan , I. Siddique , S. Nazir
DOI: 10.1007/S00419-011-0581-5
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摘要: In this note, the exact solutions of velocity field and associated shear stress corresponding to flow second-grade fluid in a cylindrical pipe, subject sinusoidal stress, are determined by means Laplace finite Hankel transform. These written as sum steady-state transient solutions, they satisfy governing equations all imposed initial boundary conditions. The for Newtonian fluid, performing same motion, can be obtained from our general solutions. At end effects different parameters presented discussed showing profiles graphically.
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sci-hub.se 参考文章(16)
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
K.D. Rahaman, H. Ramkissoon, Unsteady axial viscoelastic pipe flows Journal of Non-newtonian Fluid Mechanics. ,vol. 57, pp. 27- 38 ,(1995) , 10.1016/0377-0257(94)01293-Q
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
J.E. Dunn, K.R. Rajagopal, Fluids of differential type: Critical review and thermodynamic analysis International Journal of Engineering Science. ,vol. 33, pp. 689- 729 ,(1995) , 10.1016/0020-7225(94)00078-X
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
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
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
Tsuan Wu Ting, Certain non-steady flows of second-order fluids Archive for Rational Mechanics and Analysis. ,vol. 14, pp. 1- 26 ,(1963) , 10.1007/BF00250690
Constantin Fetecau, Analytical solutions for non-Newtonian fluid flows in pipe-like domains International Journal of Non-linear Mechanics. ,vol. 39, pp. 225- 231 ,(2004) , 10.1016/S0020-7462(02)00170-1