Analysis of peristaltic flow for a Prandtl fluid model in an endoscope

• Autorzy: Nadeem S. , Sadaf H. , Akbar N. S.
• Języki publikacji: EN

Abstrakty

EN

The peristaltic flow of a Prandtl fluid model in an endoscope is analyzed. The flow is modelled in both fixed and wave frame of references. The peristaltic wave move with the speed c. We have used regular perturbation method for the solutions of velocity profile. Expression of pressure gradient and frictional forces is quite complicated, therefore to plot the pressure rise and frictional forces, numerical integration have been used. The effects of various emerging parameters have been discussed for pressure rise, friction forces, pressure gradient and streamlines.

Słowa kluczowe

EN

peristaltic flow; endoscope; regular perturbation method; Prandtl fluid model

PL

przepływ perystaltyczny; endoskop; regularna metoda perturbacji; model cieczy Prandtla

• Wydawca: Institute of Heat Engineering, Warsaw University of Technology
• Czasopismo: Journal of Power Technologies
• Rocznik: 2014
• Tom: Vol. 94, nr 2
• Strony: 95--105
• Opis fizyczny: Bibliogr. 23 poz., rys., wykr.

Twórcy

autor

Nadeem S.

• Department of Mathematics, Quaid-i-Azam University 45320 Islamabad 44000 , Pakistan

autor

Sadaf H.

• Department of Mathematics, Quaid-i-Azam University 45320 Islamabad 44000 , Pakistan

autor

Akbar N. S.

• DBS & H, CEME, National University of Sciences and Technology Islamabad, Pakistan

Bibliografia

• [1] O. Eytan, D. Elad, Analysis of intra-uterine fluid motion induced by uterine contractions, Bull Math Biol. 61 (2) (1999) 221–238.
• [2] M. Y. Jaffrin, A. H. Shaprio, Peristaltic pumping, Ann. Rev. Fluid Mech 3 (1971) 13–36.
• [3] V. Seshadri, Z. Hasan, B. B. Gupta, Peristaltic pumping in non-uniform distensible tubes with different wave forms, J. Biophys Et Med Nucl 8 (1984) 9–14.
• [4] C. Pozrikidis, A study of peristaltic flow, J. of Fluid Mechanics 180 (1987) 515–527.
• [5] S. Brasseur, N. Q. Lu, The influence of a peripherical layer of different viscosity on peristaltic pumping with newtonian fluid, J. of Fluid Mechanics 174 (1987) 495–519.
• [6] M. Li, J. G. Brasseur, Non-steady peristaltic transport in finite-length tubes, J. of Fluid Mechanics 248 (1993) 129–151.
• [7] J. C. Misra, S. K. Pandey, A mathematical model for oesophageal swallowing of a food-bolus, Mathematical and Computer Modelling 33 (8–9) (2001) 997–1009.
• [8] A. El. Hakeem, A. El-Naby, A. E. M. El-Misiery, Effects of an endoscope and generalized newtonian fluid on peristaltic motion, Applied Mathematics and Computation 128 (1) (2002) 19–35.
• [9] A. El. Hakeem, A. EI. Naby, A. E. M. El. Misery, I. I. El Shamy, Effects of an endoscope and fluid with variable viscosity on peristaltic motion, Applied Mathematics and Computation 158 (2) (2004) 497–511.
• [10] K. Vajravelu, G. Radhakrishnamacharya, V. Radhakrish-namurty, Peristaltic flow and heat transfer in a vertical porous annulus with long wave approximation, International Journal of Non-Linear Mechanics 42 (5) (2007) 754–759.
• [11] T. Hayat, N. Ali, S. Asghar, A. M. Siddiqui, Exact peristaltic flow in tubes with an endoscope, Applied Mathematics and Computation 182 (1) (2006) 359–368.
• [12] A. Ebaid, A new numerical solution for the mhd peristaltic flow of a biofluid with variable viscosity in circular cylindrical tube via adomian decomposition method, Physics Letters A 372 (32) (2008) 5321–5328.
• [13] S. Nadeem, N. S. Akbar, Influence of temperature dependent viscosity on peristaltic transport of a newtonian fluid: Application of an endoscope, Applied Mathematics and Computation 216 (2010) 3606–3619.
• [14] S. Nadeem, N. S. Akbar, S. Ashiq, Simulation of heat and chemical reactions on the peristaltic flow of a johnson segalman fluid in an endoscope, International Journal of Nonlinear Sciences and Numerical Simulation 11 (10) (2010) 871–883.
• [15] S. Nadeem, N. S. Akbar, K. Vajravelue, Peristaltic flow of a sisko fluid in an endoscope analytical and numerical solutions, Int. J. of Comput. Math 88 (2011) 1013–1023.
• [16] N. S. Akbar, S. Nadeem, Characteristics of heating scheme and mass transfer on the peristaltic flow for an eyring-powell fluid in an endoscope, International Journal of Heat and Mass Transfer 55 (1–3) (2012) 375–383.
• [17] N. S. Akbar, S. Nadeem, C. Lee, Peristaltic flow of a prandtl fluid model in an asymmetric channel, International Journal of Physical Sciences 7 (5) (2012) 687–695.
• [18] K. Mekheimer, Y. A. elmaboud, The influence of heat transfer and magnetic field on peristaltic transport of a newtonian fluid in a vertical annulus application of an endoscope, Physics Letters A 372 (10) (2008) 1657–1665.
• [19] R. Ellahi, The thermodynamics, stability, applications and techniques of differential type a review, Reviews in Theoretical Science 2 (8) (2014) 116–123.
• [20] A. A. Khan, R. Ellahi, M. Usman, The effects of variable viscosity on the peristaltic flow of non-newtonian fluid through a porous medium in an inclined channel with slip boundary conditions, Journal of Porous Media 16 (1) (2013) 59–67.
• [21] A. A. Khan, R. Ellahi, K. Vafai, Peristaltic transport of jeffrey fluid with variable viscosity through a porous medium in an asymmetric channel, Advances in Mathematical Physics 2012 (2012) 1–15.
• [22] S. Hina, T. Hayat, S. Asghar, A. A. Hendi, Influence of compliant walls on peristaltic motion with heat/Mass transfer and chemical reaction, International Journal of Heat and Mass Transfer 55 (13–14) (2012) 3386–3394.
• [23] D. Tripathi, Study of transient peristaltic heat flow through a finite porous channel, Mathematical and Computer Modelling 57 (5–6) (2013) 1270–1283