Numerical and series solutions of the peristaltic motion of an Oldroyd 8-constant fluid in an endoscope

Computer Methods in Biomechanics and Biomedical Engineering

Volumn 14, Issue 11, 2011, Pages 987-993

  Nadeem, S ^a   Akbar, Noreen Sher ^a   Hayat, T ^a,b   Hendi, Awatif A ^b  

^a QUAID I AZAM UNIVERSITY   (Pakistan)

^b KING SAUD UNIVERSITY   (Saudi Arabia)

Author keywords

Comparison; Endoscope; Homotopy analysis method; Oldroyd 8 constant fluid; Peristaltic motion; Shooting method

Indexed keywords

COMPARISON; HOMOTOPY ANALYSIS METHODS; OLDROYD 8-CONSTANT FLUID; PERISTALTIC MOTION; SHOOTING METHODS;

VELOCITY;

ENDOSCOPY;

ARTICLE; ENDOSCOPE; PERISTALSIS; THEORETICAL MODEL;

ENDOSCOPES; MODELS, THEORETICAL; PERISTALSIS;

EID: 84857987102     PISSN: 10255842     EISSN: 14768259     Source Type: Journal    
DOI: 10.1080/10255842.2010.503960     Document Type: Article

References (26)

1. Abd El Naby Abd El Hakeem, ElMisery AEM, El Shamy II. 2004. Effects of an endoscope and fluid with variable viscosity on peristaltic motion. Appl Math Comput. 158:497-511.
2. Baris S. 2001. Flow of an Oldroyd 8-constant fluid in a convergent channel. Acta Mech. 148:117-127.
3. Ealshahed M, Haroun MH. 2005. Peristaltic transport of Johnson-Segalman fluid under effect of a magnetic field. Math Probl Eng. 6:663-677.
4. Haroun MH. 2007. Non-linear peristaltic flow of a fourth grade fluid in an inclined asymmetric channel. Comput Mater Sci. 39:324-333.
5. Hayat T, Ali N. 2008. Effects of an endoscope on peristaltic flow of a micropolar fluid. Math Comput Modell. 48:721-733.
6. Hayat T, Ahmad N, Ali N. 2008. Effects of an endoscope and magnetic field on the peristalsis involving Jeffrey fluid. Commun Nonlinear Sci Numer Simul. 13:1581-1591.
7. Kothandapani M, Srinivas S. 2008. Peristaltic transport of a Jeffrey fluid under the effect of magnetic field in an asymmetric channel. Int J Non-linear Mech. 43:915-924.
8. Latham TW. 1966. Fluid motion in a peristaltic pump [M. Sc, thesis]. Cambridge: Massachusetts Institute of Technology.
9. Mekheimer KhS, Abd elmaboud Y. 2008a. Peristaltic flow of a couple stress fluid in an annulus. Appl Endscope Physica A. 387:2403-2415.
10. Mekheimer KhS, Abd elmaboud Y. 2008b. The influence of heat transfer and magnetic field on peristaltic transport of a Newtonian fluid in a vertical annulus: an application of an endoscope. Phys Lett A. 372:1657-1665.
11. Nadeem S, Akbar NS. 2009a. 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. 14:3844-3855.
12. Nadeem S, Akbar NS. 2009b. Influence of heat transfer on a peristaltic transport of Herschel-Bulkley fluid in a non-uniform inclined tube. Commun Nonlinear Sci Numer Simul. 14:4100-4113.
13. Nadeem S, Akram S. 2009. Peristaltic transport of a hyperbolic tangent fluid model in an asymmetric channel. Zeitschrift fur Naturforschung A. 64a:559-567.
14. Nadeem S, Akram S. 2010. Heat transfer in a peristaltic flow of MHD fluid with partial slip. Commun Nonlinear Sci Numer Simul. 15:312-321.
15. Nadeem S, Hayat T, Akbar NS, Malik MY. 2009. On the influence of heat transfer in peristalsis with variable viscosity. Numer Heat Transf. 52:4722-4730.
16. Sankar DS, Hemalatha K. 2007. Non-linear mathematical models for blood flow through tapered tubes. Appl Math Comput. 188:567-582.
17. Sankar DS, Lee U. 2008. Two-fluid non-linear model for flow in catheterized blood vessels. Int J Non-linear Mech. 43: 622-631.
18. Srinivas S, Gayathri R. 2009. Peristaltic transport of a Newtonian fluid in a vertical asymmetric channel with heat transfer and porous medium. Appl Math Comput. 215:185-196.
19. Srinivas S, Gayathri R, Kothandapani M. 2009. The influence of slip conditions, wall properties and heat transfer on MHD peristaltic transport. Comput Phys Commun. 180: 2115-2122.
20. Srinivas S, Kothandapani M. 2008. Peristaltic transport in an asymmetric channel with heat transfer. A note. Int Commun Heat Mass Transf. 35:514-522.
21. Srinivas S, Kothandapani M. 2009. The influence of heat and mass transfer on MHD peristaltic flow through a porous space with compliant walls. Appl Math Comput. 213:197-208.
22. Srinivasacharya D, Mishra M, Rao AR. 2003. Peristaltic pumping of a micropolar fluid in a tube. Acta Mech. 161:165-178.
23. Strauss K. 1974. Die Stromung einer einfachen viscoelastischen Flfissigkeit in einem konvergenten Kanal, Teil I: Die stationare Stromung. Acta Mech. 20:233-246.
24. Usha Srinivasan, Ramachandra Rao Adabala. 1995. Peristaltic transport of a bio fluid in a pipe of elliptic cross section. J Biomech. 28:45-52.
25. Vajravelu K, Radhakrishnamacharya G, Radhakrishnamurty V. 2007. Peristaltic flow and heat transfer in a vertical porous annulus with long wave approximation. Int J Non linear Mech. 42:754-759.
26. Vajravelu K, Sreenadh S, Ramesh Babu V. 2005. Peristaltic transport of a Herschel-Bulkley fluid in a an inclined tube. Int J Non-linear Mech. 40:83-90.