Creeping flow of phan-thien-tanner fluids in a peristaltic tube with an infinite long wavelength

Journal of Applied Mechanics, Transactions ASME

Volumn 76, Issue 6, 2009, Pages 1-6

  Abd El Naby, Abd El Hakeem ^a  

^a MANSOURA UNIVERSITY   (Egypt)

Author keywords

Non Newtonian fluid; Peristalsis; Phan Thien Tanner fluid; Uniform geometry

Indexed keywords

COMPUTATIONAL SOLUTIONS; CREEPING FLOWS; EXPONENTIAL FORM; FRICTION FORCE; LONG WAVELENGTH; NEWTONIANS; NON-NEWTONIAN; NON-NEWTONIAN FLUIDS; PERISTALSIS; PERISTALTIC PUMPING; PHAN-THIEN-TANNER FLUIDS; PHYSICAL PARAMETERS; PRESSURE RISE; SMALL INTESTINE;

FLOW MEASUREMENT; FLUIDS; FRICTION; NON NEWTONIAN LIQUIDS; PUMPS; REYNOLDS NUMBER; RHEOLOGY; TRIBOLOGY; VELOCITY MEASUREMENT; VISCOUS FLOW;

NON NEWTONIAN FLOW;

EID: 77955241783     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.3132183     Document Type: Article

References (21)

1. Siddiqui, A. M., and Schwarz, W. H., 1994, "Peristaltic Motion of a Second-Order Fluid in Tubes,"J. Non-Newtonian Fluid Mech., 53, pp. 257-284.
2. El Misiery, A. M., Elshehawey, E. F., and Hakeem, A. A., 1996, "Peristaltic Motion of an Incompressible Generalized Newtonian Fluid in a Planar Channel,"J. Phys. Soc. Jpn., 65, pp. 3524-3529.
3. Elshehawey, E. F., El Misiery, A. M., and Abd El Naby, A. E. H., 1998, "Peristaltic Motion of Generalized Newtonian Fluid in a Non-Uniform Channel,"J. Phys. Soc. Jpn., 67, pp. 434-440.
4. Abd El Naby, A. E. H., El Misiery, A. M., 2002, "Effects of an Endoscope and Generalized Newtonian Fluid on Peristaltic Motion,"Int. J. Appl. Math Comput. Sci., 128, pp. 19-35.
5. El Misiery, A. M., Abd El Naby, A. E. H., and El Nagar, A. H., 2003, "Effects of a Fluid With Variable Viscosity and an Endoscope on Peristaltic Motion,"J. Phys. Soc. Jpn., 72, pp. 89-94.
6. Hayat, T., Wang, Y., Siddiqui, A. M., Hutter, K., and Asghar, S., 2002, "Peristaltic Transport of a Third-Order Fluid in Circular Cylindrical Tube,"Math. Models Meth. Appl. Sci., 12, pp. 1691-1706.
7. Quinzani, L., Armstrong, R. C., and Brown, R. A., 1995, "Use of Coupled Birefringence and LDV Studies of Flow Through a Planar Contraction to Test Constitutive Equations for Concentrated Polymer Solutions,"J. Rheol., 39, pp. 1201-1228.
8. Azaiez, J., Guenette, R., and Aït-Kadi, A., 1996, "Numerical Simulation of Viscoelastic Flows Through a Planar Contraction,"J. Non-Newtonian Fluid Mech., 62, pp. 253-277.
9. Baloch, A., Townsend, P., and Webster, M. F., 1996, "On Vortex Development in Viscoelastic Expansion and Contraction Flows,"J. Non-Newtonian Fluid Mech., 65, pp. 133-149.
10. Oliveira, P. J., and Pinho, F. T., 1999, "Analytical Solution for Fully Developed Channel and Pipe Flow of Phan-Thien-Tanner Fluids,"J. Fluid Mech., 387, pp. 271-280.
11. Phan-Thien, N., and Tanner, R. I., 1977, "A New Constitutive Equation Derived From Network Theory,"J. Non-Newtonian Fluid Mech., 2, pp. 353-365.
12. Phan-Thien, N., 1978, "A Nonlinear Network Viscoelastic Model,"J. Rheol., 22, pp. 259-283.
13. Jaffrin, M. Y., and Shapiro, A. H., 1971, "Peristaltic Pumping,"Annu. Rev. Fluid Mech., 3, pp. 13-36.
14. Barton, C., and Raynor, S., 1968, "Peristaltic Flow in Tubes,"Bull. Math. Biophys., 30, pp. 663-680.
15. Srivastava, L. M., and Srivastava, V. P., 1985, "Peristaltic Transport of a Non-Newtonian Fluid Applications to the Vas Deferens and Small Intestine,"Ann. Biomed. Eng., 13, pp. 137-153.
16. Pinho, F. T., and Oliveira, P. J., 2000, "Analysis of Forced Convection in Pipes and Channels With the Simplified Phan-Thien-Tanner Fluid,"Int. J. Heat Mass Transfer, 43, pp. 2273-2287.
17. Shukla, J. B., Parihar, R. S., Rao, R. P., and Gupta, S. P., 1980, "Effects of Peripheral-Layer Viscosity on Peristaltic Transport of a Bio-Fluid,"J. Fluid Mech., 97(2), pp. 225-237.
18. Elshehawey, E. F., and Sobh, A. M. F., 2001, "Peristaltic Viscoelastic Fluid in a Tube,"Int. J. Math. Math. Sci., 26, pp. 21-34.
19. Abd El Naby, A. E. H., 1997, "Some Problems on Peristaltic Motion for Different Fluids,"Ph.D. thesis, Mansoura University, Egypt.
20. Vender, A. J., Sherman, J. H., and Luciano, D., 1975, Human Physiology: The Mechanics of Body Function, Tata McGraw-Hill, India.
21. Srivastava, L. M., Srivastava, V. P., and Sinha, S. N., 1983, "Peristaltic Transport of a Physiological Fluid Part I Flow in Non-Uniform Geometry,"Biorheology, 20, pp. 153-166.