Study of transient peristaltic heat flow through a finite porous channel

Mathematical and Computer Modelling

Volumn 57, Issue 5-6, 2013, Pages 1270-1283

  Tripathi, Dharmendra ^a  

^a NATIONAL INSTITUTE OF TECHNOLOGY DELHI   (India)

Author keywords

Finite porous channel; Heat and mass transfer; Peristaltic pumping; Reflux; Transient flow; Trapping

Indexed keywords

HEAT AND MASS TRANSFER; PERISTALTIC PUMPING; POROUS CHANNEL; REFLUX; TRANSIENT FLOW; TRAPPING;

FLUID MECHANICS; GRASHOF NUMBER; HEAT TRANSFER; MECHANICAL PERMEABILITY; POROUS MATERIALS; REYNOLDS NUMBER; VELOCITY;

THERMAL CONDUCTIVITY;

EID: 84873088108     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2012.10.030     Document Type: Article

References (42)

1. Takagi D., Balmforth N.J. Peristaltic pumping of rigid objects in an elastic tube. Journal of Fluid Mechanics 2011, 672:219-244.
2. Takagi D., Balmforth N.J. Peristaltic pumping of viscous fluid in an elastic tube. Journal of Fluid Mechanics 2011, 672:196-218.
3. Ng Chiu-On, Ma Ye Lagrangian transport induced by peristaltic pumping in a closed channel. Physical Review E 2009, 80:056307.
4. Dudchenko O.A., Guria G.Th. Self-sustained peristaltic waves: explicit asymptotic solutions. Physical Review E 2012, 85:020902(R).
5. Beg O.A., Tripathi D. Mathematica simulation of peristaltic pumping with double-diffusive convection in nanofluids: a bio-nanoengineering model. Proceedings of the Institution of Mechanical Engineers, Part N: Journal of Nanoengineering and Nanosystems 2012, 10.1177/1740349912437087.
6. Tripathi D. Numerical study on creeping flow of Burgers' fluids through a peristaltic tube. Transactions of the ASME Journal of Fluids Engineering 2011, 133:121104-1-121104-9.
7. Tripathi D. A mathematical model for the peristaltic flow of chyme movement in small intestine. Mathematical Biosciences 2011, 233:90-97.
8. Tripathi D. Peristaltic transport of fractional Maxwell fluids in uniform tubes: application of an endoscope. Computers and Mathematics with Applications 2011, 62:1116-1126.
9. Tripathi D. Numerical and analytical simulation of peristaltic flows of generalized Oldroyd-B fluids. International Journal for Numerical Methods in Fluids 2011, 67:1932-1943.
10. Tripathi D. Numerical study on peristaltic flow of generalized Burgers' fluids in uniform tubes in presence of an endoscope. International Journal of Numerical Methods in Biomedical Engineering 2011, 27:1812-1828.
11. Tripathi D. Peristaltic hemodynamic flow of couple-stress fluids through a porous medium with slip effect. Transport in Porous Media 2012, 92:559-572.
12. Tripathi D. Peristaltic flow of couple-stress conducting fluids through a porous channel: applications to blood flow in the micro-circulatory system. Journal of Biological Systems 2011, 19:461-477.
13. Tripathi D. A mathematical study on three layered oscillatory blood flow through stenosed arteries. Journal of Bionic Engineering 2012, 9:119-131.
14. Pandey S.K., Chaube M.K., Tripathi D. Peristaltic transport of multilayered power-law fluids with distinct viscosities: a mathematical model for intestinal flows. Journal of Theoretical Biology 2011, 278:11-19.
15. Khaled A.R.A., Vafai K. The role of porous media in modeling flow and heat transfer in biological tissues. International Journal of Heat and Mass Transfer 2003, 46:4989-5003.
16. Narasimhan Arunn The role of porous medium modeling in biothermofluids. Journal of the Indian Institute of Science 2011, 91:343-366.
17. Miyamoto Y., Hanano M., Iga T. Concentration profile in the intestinal tract and drug absorption model: two-dimensional laminar flow in a circular porous tube. Journal of Theoretical Biology 1983, 102:585-601.
18. Jeffrey B., Udaykumar H.S., Schulze K.S. Flow fields generated by peristaltic reflex in isolated guinea pig ileum: impact of contraction depth and shoulders. American Journal of Physiology-Gastrointestinal and Liver Physiology 2003, 285:G907-G918.
19. Elshehawey E.F., Eldabe N.T., Elghazy E.M., Ebaid A. Peristaltic transport in an asymmetric channel through a porous medium. Applied Mathematics and Computation 2006, 182:140-150.
20. Rao A.R., Mishra M. Peristaltic transport of a power-law fluid in a porous tube. Journal of Non-Newtonian Fluid Mechanics 2004, 121:163-174.
21. Afifi N.A.S., Gad N.S. Interaction of peristaltic flow with pulsatile magneto-fluid through a porous medium. Acta Mechanica 2001, 149:229-237.
22. Mekheimer Kh.S. Nonlinear peristaltic transport through a porous medium in an inclined planar channel. Journal of Porous Media 2003, 6:189-201.
23. Hayat T., Ali N., Asghar S. Hall effects on peristaltic flow of a Maxwell fluid in a porous medium. Physics Letters A 2007, 363:397-403.
24. Vajravelu K., Radhakrishnamacharya G., Radhakrishnamurty V. Peristaltic transport and heat transfer in a vertical porous annulus with long wave approximation. International Journal of Non-Linear Mechanics 2007, 42:754-759.
25. Srinivas S., Kothandapani M. Peristaltic transport in an asymmetric channel with heat transfer-a note. International Communications in Heat and Mass Transfer 2008, 35:514-522.
26. Hayat T., Qureshi M.U., Hussain Q. Effect of heat transfer on the peristaltic flow of an electrically conducting fluid in porous space. Applied Mathematical Modelling 2008, 33:1862-1873.
27. Nadeem S., Akbar N.S., Hameed M. Peristaltic transport and heat transfer of a MHD Newtonian fluid with variable viscosity. International Journal for Numerical Methods in Fluids 2010, 63:1375-1393.
28. Akbar N.S., Nadeem S. Simulation of heat and chemical reactions on Reiner-Rivlin fluid model for blood flow through a tapered artery with a stenosis. Heat and Mass Transfer 2010, 46:531-539.
29. Tripathi D., Beg O.A. A study of unsteady physiological magneto-fluid flow and heat transfer through a finite length channel by peristaltic pumping. Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine 2012, 226:631-644.
30. Li M., Brasseur J.G. Non-steady peristaltic transport in finite length tubes. Journal of Fluid Mechanics 1993, 248:129-151.
31. Misra J.C., Pandey S.K. A mathematical model for oesophageal swallowing of a food bolus. Mathematical and Computer Modelling 2001, 33:997-1009.
32. Tripathi D., Pandey S.K., Chaube M.K. Peristaltic transport of power law fluid in finite length vessels. International Journal of Mathematical Sciences and Engineering Applications 2009, 3:279-289.
33. Pandey S.K., Tripathi D. A mathematical model for peristaltic transport of micro-polar fluids. Applied Bionics and Biomechanics 2011, 8:279-293.
34. Pandey S.K., Tripathi D. Effects of non-integral number of peristaltic waves transporting couple stress fluids in finite length channels. Zeitschrift fur Naturforschung A: Journal of Physical Sciences 2011, 66a:172-180.
35. Pandey S.K., Tripathi D. Peristaltic transport of a Casson fluid in a finite channel: application to flows of concentrated fluids in oesophagus. International Journal of Biomathematics 2010, 3:473-491.
36. Pandey S.K., Tripathi D. A mathematical model for swallowing of concentrated fluids in oesophagus. Applied Bionics and Biomechanics 2011, 8:309-321.
37. Pandey S.K., Tripathi D. Unsteady peristaltic transport of Maxwell fluid through a finite length tube: application to oesophageal swallowing. Applied Mathematics and Mechanics. English Edition 2012, 33:15-24.
38. Pandey S.K., Tripathi D. Unsteady model of transportation of Jeffrey fluid by peristalsis. International Journal of Biomathematics 2010, 3:453-472.
39. Tripathi D. Unsteady peristaltic transport of integral and non-integral number of viscous fluid bolus through channel. International Journal of Mathematical Sciences and Engineering Applications 2009, 3:223-231.
40. Tripathi D. A mathematical model for swallowing of the viscoelastic food bolus through oesophagus. International Journal of Mathematical Sciences and Engineering Applications 2009, 3:255-263.
41. Tripathi D. A mathematical model for the movement of food bolus of varying viscosities through the oesophagus. Acta Astronautica 2011, 69:429-439.
42. Tripathi D. A mathematical model for swallowing of food bolus through the oesophagus under the influence of heat transfer. International Journal of Thermal Sciences 2012, 51:91-101.