Exact and numerical solutions of a micropolar fluid in a vertical annulus

Numerical Methods for Partial Differential Equations

Volumn 26, Issue 6, 2010, Pages 1660-1674

  Nadeem, S ^a   Akbar, Noreen Sher ^a   Malik, M Y ^a  

^a QUAID I AZAM UNIVERSITY   (Pakistan)

Author keywords

Exact solution; Heat transfer; Micropolar fluid; Numerical solution; Peristalsis; Vertical annulus

Indexed keywords

EXACT SOLUTION; MICROPOLAR FLUIDS; NUMERICAL SOLUTION; PERISTALSIS; VERTICAL ANNULUS;

HEAT TRANSFER; WAVE EQUATIONS;

FLUIDS;

EID: 77950861678     PISSN: 0749159X     EISSN: 10982426     Source Type: Journal    
DOI: 10.1002/num.20517     Document Type: Article

References (30)

1. A. C. Eringen, Theory of micropolar fluids, J Math Mech 16 (1966), 1-16.
2. T. Hayat and N. Ali, Effects of an endoscope on a peristaltic flow of a micropolar fluid, Math comp Mod 48 (2008), 721-733.
3. T. W. Latham, Fluid motion in a peristaltic pump, M.Sc Thesis, Massachusetts Institute of technology, Cambridge, 1966.
4. L. M. Srivastava and V. P. Srivastava, Peristaltic transport of blood: Casson model-II, J Biomech 17 (1982), 821-829.
5. V. Seshadri, Z. Hasan, and B. B. Gupta, Peristaltic pumping in non-uniform distensible tubes with different wave forms, J Biophys Med Nucl 8 (1984), 9-14.
6. S. Brasseur and N. Q. Lu, The influence of a peripherical layer of different viscosity on peristaltic pumping with Newtonian fluid, J Fluid Mech 174 (1987), 495-519.
7. M. Li and J. G. Brasseur, Non-steady peristaltic transport in finite-length tubes, J Fluid Mech 248 (1993), 129-151.
8. J. C. Misra and S. K. Pandey, A Mathematical model for oesophagal swallowing of a food-bolus, Appl Math Comput 33 (2001), 997-1009.
9. A. H. Abd El-Naby and A. E. M. El-Misiery, Effects of an endoscope and generalized Newtonian fluid on peristaltic motion, Appl Math Comput 128 (2002), 19-35.
10. Kh. S. Mekheimer, Peristaltic flow of blood under effect of a magnetic field in a non-uniform channels, Appl Math Comput 153 (2004), 763-777.
11. D. S. Sankar and K. Hemalatha,Anon-Newtonian fluid flowmodel for blood flowthrough a catheterized artery-steady flow, Appl Math Modeling 31 (2007), 1847-1864.
12. T. Hayat, Y. Wang, A. M. Siddiqui, K. Hutter, and S. Asghar, Peristaltic transport of a third-order fluid in a circular cylinderical tube, Math Mod Meth App Sci 12 (2002), 1691-1706.
13. P. Hariharan, V. Seshadri, and R. K. Banerjee, The peristaltic transport of a Non-Newtonian fluid in a diverging tube with different wave forms, Math Comput Model 48 (2008), 998-1017.
14. T. Hayat, N. Ahmed, and N. Ali, Effects of a an endoscope and the magnetic field on the peristalsis involving Jeffrey fluid, Commun Nonlinear Sci Numer Simul 13 (2008), 1581-1591.
15. M. Kothandapani and S. Srinivas, Peristaltic transport of a Jeffrey fluid under the effect of magnetic field in an asymmetric channel, Int J Non-linear Mech 43 (2008), 915-924.
16. T. Hayat and N. Ali, Peristaltic motion of a Jeffrey fluid under the effect of magnetic field in a tube, Commun Nonlinear Sci Numer Simul 13 (2008), 1343-1352.
17. Kh. S. Mekheimer and Y. Abd elmaboud, The influence of heat transfer and magnetic field on peristaltic transport of aNewtonian fluid in a vertical annulus: application of an endoscope, Phys LettA372 (2008), 1657-1665.
18. K. Vajravelu, G. Radhakrishnamacharya, and V. Radhakrishnamurty, Peristaltic flow and heat transfer in a vertical porous annulus with long wave approximation, Int J Non-linear Mech 42 (2007), 754-759.
19. S. Srinivas and M. Kothandapani, Peristaltic transport in an asymmetric channel with heat transfer, A note, Int commun Heat Mass Trans 35 (2008), 514-522.
20. R. C. Eberhart and A. Shitzer, Heat transfer in medicine and biology, 1st Ed, Springer, 1985.
21. G. Radhakrishnamacharya and Ch. Srinivasulu, Influence of wall properties on peristaltic transport with heat transfer, C. R. Mecanique 335 (2007), 369-373.
22. T. Hayat, M. U. Qureshi, and Q. Hussain, Effect of heat transfer on the peristaltic flow of an electrically conducting fluid in a porous space, Appl Math Modelling 33 (2009), 1862-1873.
23. N. T. M. Eldabe, M. F. El-Sayed, A. Y. Ghaly, and H. M. Sayed, Effect mixed convection heat and mass transfer in a non-Newtonian fluid at a peristaltic surface with temperature-dependent viscosity, Arch Appl Mech 78 (2008), 599-624.
24. A. M.Wazawaz, Exact solutions to nonlinear diffusion equations obtained by the decomposition method, Appl Math Comput 123 (2001), 109-122.
25. A. M. Wazwaz, A new method for solving singular initial value problems in the second order ordinary differential equations, Appl Math Comput 128 (2002), 47-57.
26. A. M.Wazwaz, Adomian decomposition method for a reliable treatment of the Emden-Fowler equation, Appl Math Comput 61 (2005), 543-560.
27. E. F. Elshehawey, N. T. Eladabe, E. M. Elghazy, and A. Ebaid, Peristaltic transport in an asymmetric channel through a porous medium, Appl Math Comput 182 (2006), 140-150.
28. N. T. Eldabe, E. M. Elghazy, and A. Ebaid, Closed form solution to a second order boundary value problem and its application in fluid mechanics, Phys Lett A 363 (2007), 257-259.
29. A. Ebaid, A new numerical solution for the MHD peristaltic flow of a biofluid with varible viscosity in circular cylinderical tube via Adomian decomposition method, Phy Lett A 372 (2008), 5321-5328.
30. S. Nadeem and N. S. Akbar, Effects of Heat transfer on the peristaltic transport of MHD Newtonian fluid with variable viscosity: application of Adomian decomposition method, Commun Nonlinear Sci Numer Simul 14 (2009), 3844-3855.