Eldesoky, I., Mousa, A. (2009). Peristaltic Pumping of Fluid in Cylindrical Tube and its Applications in the Field of Aerospace. test, 13(AEROSPACE SCIENCES & AVIATION TECHNOLOGY, ASAT- 13, May 26 – 28, 2009), 1-14. doi: 10.21608/asat.2009.23728
Islam M. Eldesoky; Abdallah A. Mousa. "Peristaltic Pumping of Fluid in Cylindrical Tube and its Applications in the Field of Aerospace". test, 13, AEROSPACE SCIENCES & AVIATION TECHNOLOGY, ASAT- 13, May 26 – 28, 2009, 2009, 1-14. doi: 10.21608/asat.2009.23728
Eldesoky, I., Mousa, A. (2009). 'Peristaltic Pumping of Fluid in Cylindrical Tube and its Applications in the Field of Aerospace', test, 13(AEROSPACE SCIENCES & AVIATION TECHNOLOGY, ASAT- 13, May 26 – 28, 2009), pp. 1-14. doi: 10.21608/asat.2009.23728
Eldesoky, I., Mousa, A. Peristaltic Pumping of Fluid in Cylindrical Tube and its Applications in the Field of Aerospace. test, 2009; 13(AEROSPACE SCIENCES & AVIATION TECHNOLOGY, ASAT- 13, May 26 – 28, 2009): 1-14. doi: 10.21608/asat.2009.23728

Peristaltic Pumping of Fluid in Cylindrical Tube and its Applications in the Field of Aerospace

International Conference on Aerospace Sciences and Aviation Technology
Article 61, Volume 13, AEROSPACE SCIENCES & AVIATION TECHNOLOGY, ASAT- 13, May 26 – 28, 2009, May 2009, Pages 1-14    PDF (251.74 K)
Document Type: Original Article
DOI: 10.21608/asat.2009.23728
Authors
Islam M. Eldesoky; Abdallah A. Mousa
Lecturer, Department of Basic Engineering sciences, Faculty of Engineering, Menofia University, Shebin El-Kom, Menofia, Egypt.
Abstract
This work is concerned with the peristaltic transport of a Newtonian and non- Newtonian Maxwellian fluid in an axisymetric cylindrical tube filled with a homogenous porous medium, in which the flow is induced by traveling transversal waves on the tube wall. Like in peristaltic pumping, the traveling transversal waves induce a net flow of the liquid inside the tube. The viscosity as well as the compressibility of the liquid is taken into account. Modified Darcy's law has been used to model the governing equation. The present theoretical model may be considered as mathematical representation to the case of gall bladder and bile duct with stones and dynamics of blood flow in living creatures. The Navier-Stokes equations for an axisymmetric cylindrical tube are solved by means of a perturbation analysis, in which the ratio of the wave amplitude to the radius of the tube is small parameter. In the second order approximation, a net flow induced by the traveling wave has been computed through numerical integration for various values of the compressibility of the liquid, relaxation time and the permeability parameter of porous medium. The calculations disclose that the compressibility of the liquid, the permeability parameter of porous medium and non- Newtonian effects in presence of peristaltic transport have a strong influence of the net flow rate. Finally, the graphical results are reported and discussed for various values of the physical parameters of interest.
Keywords
Peristaltic Pumping; Maxwell fluid; Compressible liquid; Traveling Waves; Porous medium; Modified Darcy's law; Non-Newtonian effects
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