Exact solutions for generalized Burgers' fluid in an annular pipe

Meccanica

Volumn 44, Issue 4, 2009, Pages 427-431

  Tong, Dengke ^a   Shan, Liantao ^a  

^a CHINA UNIVERSITY OF PETROLEUM   (China)

Author keywords

Exact solutions; Generalized Burgers' fluid; Velocity fields

Indexed keywords

ANNULAR PIPE; CONSTANT PRESSURE GRADIENT; COUETTE FLOWS; EXACT SOLUTION; EXACT SOLUTIONS; GENERALIZED BURGERS' FLUID; HANKEL TRANSFORM; LIMITING CASE; MAXWELL FLUID; NAVIER-STOKES FLUID; OLDROYD-B FLUID; POISEUILLE FLOW; SECOND-GRADE FLUID; TRANSIENT FLOW; VELOCITY FIELDS;

LAPLACE TRANSFORMS; PIPE; PRESSURE GRADIENT; PULSATILE FLOW;

FLUIDS;

EID: 67849134918     PISSN: 00256455     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11012-008-9179-6     Document Type: Article

References (23)

1. JE Dunn KR Rajagopal 1995 Fluids of differential type:critical review and thermodynamic analysis Int J Eng Sci 33 5 689 729
2. Rajagopal KR (1993) Mechanics of non-Newtonian fluids. In: Recent developments in theoretical fluids mechanics. Pirman research notes in mathematics, vol 291. Longman, New York, pp 129-162
3. Han SF (2000) Constitutive equation and computational analytical theory of non-Newtonian fluids. Science, Beijing
4. R Bandeli KR Rajagopal 1995 Start-up flows of second grade fluids in domains with one finite dimension Int J Non-Linear Mech 30 6 818 839
5. CQ Liu JQ Huang 1989 Analytical solutions for equations of unsteady flow of non-Newtonian fluids in tube Appl Math Mech 10 11 939 946
6. D Vieru W Akhtar C Fetecau C Fetecau 2008 Starting solutions for the oscillating motion of a Maxwell fluid in cylindrical domains Meccanica 10.1007/s11012-007-9081-7
7. C Fetecau 2004 Analytical solutions for non-Newtonian fluid flow in pipe-like domains Int J Non-Linear Mech 39 225 231
8. D Tong R Wang 2005 Exact solutions for the flow of non-Newtonian fluidwith fractional derivative in an annular pipe Sci China (Ser G) 48 4 485 495 (Pubitemid 43322601)
9. T Hayat C Fetecau S Asghar 2006 Some simple flows of a Burgers'fluid Int J Eng Sci 44 5 1423 1431
10. P Ravindran JM Krishnan KRA Rajagopal 2004 Note on the flow of a Burgers'fluid in an orthogonal rheometer Int J Eng Sci 42 1973 1985
11. R Quintanilla KR Rajagopal 2006 On Burgers fluids Math Methods Appl Sci 29 2133 2147
12. CI Chen CK Chen 2006 Exact solutions for the unsteady flow of a Burgers'fluid in a duct induced by time-dependent prescribed volume flow rate Heat Mass Transf 43 85 90
13. JM Krishnan KR Rajagopal 2004 Thermodynamic framework for the constitutive modeling of asphalt concrete: theory and applications J Mater Civil Eng 16 155 166
14. PN Chopra 1997 High-temperature transient creep in olivine rocks Tectonophysics 279 93 111
15. WC Tan F Xian L Wei 2002 Exact solution for the unsteady Couette flow of the generalized second grade fluid Chin Sci Bull 47 16 1226 1228
16. G Rumpher D Wolf 1996 Viscoelastic relaxation of a Burgers half-space: implications for the interpretation of the Fennoscandian uolife Geophys J Int 124 541 555
17. C Fetecau T Hayat C Fetecau 2006 Steady-state solutions for some simple flows of generalized Burgers fluids Int J Non-Linear Mech 41 8 880 887 (Pubitemid 46027039)
18. Le Roux C Patidar KC 2008 On the flow of a generalized Burgers fluid in an orthogonal rheometer Nonlinear Anal Real World Appl 10.1016/j.nonrwa.2007.06. 012
19. C Xue J Nie 2008 Exact solutions of Stokes' first problem for heated generalized Burgers' fluid in a porous half-space Nonlinear Anal Real World Appl 10.1016/j.nonrwa.2007.04.007 (Pubitemid 351685803)
20. T Hayat SB Khan M Khan 2007 Exact solution for rotating flows of a generalized Burgers' fluid in a porous space Appl Math Model 10.1016/j.apm.2007.02.011
21. C Xue J Nie 2008 An exact solution of start-up flow for the fractional generalized Burgers' fluid in a porous half-space Nonlinear Anal Real World Appl 10.1016/j.nonrwa.2007.07.047
22. WH Zhu CQ Liu 1993 Analytical solution of flow of second-order non-Newtonian fluid through annular pipes Appl Math Mech 14 3 195 201
23. WH Zhu CQ Liu 1992 Analytical solution for the unsteady flow of Maxwell fluids through annular pipes Acta Mech Sin 24 1 116 121