Mathematical modelling of heat transfer effects on swallowing dynamics of viscoelastic food bolus through the human oesophagus

International Journal of Thermal Sciences

Volumn 70, Issue , 2013, Pages 41-53

  Tripathi, Dharmendra ^a   Pandey, S K ^b   Bég, O Anwar ^c  

^a NATIONAL INSTITUTE OF TECHNOLOGY DELHI   (India)

^b BANARAS HINDU UNIVERSITY   (India)

^c Gort Engovation Research (Propulsion and Biomechanics)   (United Kingdom)

Author keywords

Grashof number; Heat transfer Oesophagus; Jeffrey non Newtonian model; Peristaltic flow; Reflux Trapping; Transient

Indexed keywords

ANALYTICAL AND NUMERICAL METHODS; COMPUTATIONAL RESULTS; HEAT TRANSFER EFFECTS; MECHANICAL EFFICIENCY; NON-NEWTONIAN MODELS; PERISTALTIC FLOWS; REFLUX TRAPPING; VIS-COELASTIC FLUIDS;

GRASHOF NUMBER; NON NEWTONIAN FLOW; RELAXATION TIME; REYNOLDS NUMBER; THERMAL CONDUCTIVITY; TRANSIENTS;

HEAT TRANSFER;

EID: 84877578939     PISSN: 12900729     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijthermalsci.2013.03.005     Document Type: Article

References (42)

1. A.H. Shapiro, M.Y. Jaffrin, and S.L. Weinberg Peristaltic pumping with long wavelengths at low Reynolds number Journal of Fluid Mechanics 37 1969 799 825
2. S. Srinivas, and M. Kothandapani The influence of heat and mass transfer on MHD peristaltic flow through a porous space with compliant walls Applied Mathematics and Computation 213 2009 197 208
3. G. Radhakrishnamacharya, and C. Srinivasulu Influence of wall properties on peristaltic transport with heat transfer Comptes Rendus Mecanique 335 2007 369 373
4. K. Vajravelu, G. Radhakrishnamacharya, and V. Radhakrishnamurty Peristaltic transport and heat transfer in a vertical porous annulus with long wave approximation International Journal of Non-Linear Mechanics 42 2007 754 759
5. S. Srinivas, and R. Gayathri Peristaltic transport of a Newtonian fluid in a vertical asymmetric channel with heat transfer and porous medium Applied Mathematics and Computation 215 2009 185 196
6. M. Kothandapani, and S. Srinivas On the influence of wall properties in the MHD peristaltic transport with heat transfer and porous medium Physics Letters A 372 2008 4586 4591
7. Kh.S. Mekheimer, and Y. Abd elmaboud The influence of heat transfer and magnetic field on peristaltic transport of a Newtonian fluid in a vertical annulus: Application of endoscope Physics Letters A 372 2008 1657 1665
8. T. Hayat, M.U. Qureshi, and Q. Hussain Effect of heat transfer on the peristaltic flow of an electrically conducting fluid in porous space Applied Mathematical Modelling 33 2008 1862 1873
9. S. Nadeem, N.S. Akbar, and M. Hameed Peristaltic transport and heat transfer of a MHD Newtonian fluid with variable viscosity International Journal for Numerical Methods in Fluids 63 2010 1375 1393
10. S. Nadeem, and N.S. Akbar Simulation of second grade fluid model for blood flow through a tapered artery with a stenosis Chinise Physics Letters 27 2010 068701
11. S. Nadeem, N.S. Akbar, N. Bibi, and S. Ashiq Influence of heat and mass transfer on peristaltic flow of a third order fluid in a diverging tube Communication in Nonlinear Science and Numerical Simulation 15 2010 2916 2931
12. T. Hayat, and S. Noreen Peristaltic transport of fourth grade fluid with heat transfer and induced magnetic field Comptes Rendus Mécanique 338 2010 518 528
13. S. Nadeem, and N.S. Akbar Influence of heat transfer on a peristaltic transport of Herschel Bulkley fluid in a non-uniform inclined tube Communications in Nonlinear Science and Numerical Simulation 14 2009 4100 4113
14. N.S. Akbar, and S. Nadeem 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 46 2010 531 539
15. S. Nadeem, and N.S. Akbar Influence of heat and mass transfer on a peristaltic motion of a Jeffrey-six constant fluid in an annulus Heat and Mass Transfer 46 2010 485 493
16. S. Nadeem, and N.S. Akbar Influence of heat and mass transfer on the peristaltic flow of a Johnson Segalman fluid in a vertical asymmetric channel with induced MHD Journal of the Taiwan Institute of Chemical Engineers 42 2011 58 66
17. Y. Abd elmaboud, and Kh.S. Mekheimer Unsteady pulsatile flow through a vertical constricted annulus with heat transfer Zeitschrift für Naturforschung 67 2012 185 194
18. Kh.S. Mekheimer, N. Saleem, T. Hayat, and A.A. Hend Simultaneous effects of induced magnetic field and heat and mass transfer on the peristaltic motion of second-order fluid in a channel International Journal for Numerical Methods in Fluids 70 2012 342 358
19. Y. Abd elmaboud, and Kh.S. Mekheimer Non-linear peristaltic transport of a second-order fluid through a porous medium Applied Mathematical Modelling 35 2011 2695 2710
20. Kh.S. Mekheimer, and A. Abdel-Waheb Net annulus flow of a compressible viscous Liquid with peristalsis Journal of Aerospace Engineering 25 2012 660 669
21. S.K. Pandey, and D. Tripathi Unsteady model of transportation of Jeffrey fluid by peristalsis International Journal of Biomathematics 3 2010 453 472
22. M. Kothandapani, and S. Srinivas Peristaltic transport of a Jeffrey fluid under the effect of magnetic field in an asymmetric channel International Journal of Non-Linear Mechanics 43 2008 915 924
23. M. Li, and J.G. Brasseur Non-steady peristaltic transport in finite length tubes Journal of Fluid Mechanics 248 1993 129 151
24. J.G. Brasseur, and W.J. Dodds Interpretation of intraluminal manometric measurements in terms of swallowing mechanics Dysphagia 6 1991 100 119
25. W.J. Dodds Radiology of oesophagus A.R. Margulis, H.J. Burhenne, Alimentary tract radiology third ed. 1983
26. J.C. Misra, and S.K. Pandey A mathematical model for oesophageal swallowing of a food bolus Mathematical and Computer Modelling 33 2001 997 1009
27. S.K. Pandey, and D. Tripathi A mathematical model for peristaltic transport of micro-polar fluids Applied Bionics and Biomechanics 8 2011 279 293
28. S.K. Pandey, and D. Tripathi A mathematical model for swallowing of concentrated fluids in oesophagus Applied Bionics and Biomechanics 8 2011 309 321
29. S.K. Pandey, and D. Tripathi Effects of non-integral number of peristaltic waves transporting couple stress fluids in finite length channels Zeitschrift für Naturforschung 66a 2011 172 180
30. S.K. Pandey, and D. Tripathi Unsteady peristaltic flow of micro-polar fluid in a finite channel Zeitschrift für Naturforschung 66a 2011 181 192
31. S.K. Pandey, and D. Tripathi Peristaltic transport of a casson fluid in a finite channel: application to flows of concentrated fluids in oesophagus International Journal of Biomathematics 3 2010 473 491
32. S.K. Pandey, and D. Tripathi Peristaltic flow characteristics of Maxwell and Magneto-hydrodynamic fluids in finite channels Journal of Biological Systems 18 2010 621 647
33. S.K. Pandey, and D. Tripathi Influence of magnetic field on the peristaltic flow of a viscous fluid through a finite-length cylindrical tube Applied Bionics and Biomechanics 7 2010 169 176
34. S.K. Pandey, and D. Tripathi Unsteady peristaltic transport of Maxwell fluid through a finite length tube: application to oesophageal swallowing Applied Mathematics and Mechanics. English Edition 33 1 2012 15 24
35. D. Tripathi A mathematical model for the movement of food bolus of varying viscosities through the oesophagus Acta Astronautica 69 2011 429 439
36. D. Tripathi A mathematical model for swallowing of food bolus through the oesophagus under the influence of heat transfer International Journal of Thermal Sciences 51 2012 91 101
37. O.A. Bég, and D. Tripathi Mathematica simulation of peristaltic pumping with double-diffusive convection in nanofluids: a bio-nanoengineering model Proceedings of IMechE Part N: Journal of Nanoengineering and Nanosystems 225 2012 99 114
38. D. Tripathi Numerical study on creeping flow of Burgers' fluids through a peristaltic tube ASME Journal of Fluids Engineering 133 2011 121104-1 121104-9
39. D. Tripathi Peristaltic hemodynamic flow of couple-stress fluids through a porous medium with slip effect Transport in Porous Media 92 2012 559 572
40. D. Tripathi Peristaltic flow of couple-stress conducting fluids through a porous channel: applications to blood flow in the micro-circulatory system Journal of Biological Systems 19 2011 461 477
41. Dharmendra Tripathi Study of transient peristaltic heat flow through a finite porous channel Mathematical and Computer Modelling 57 2013 1270 1283
42. D. Tripathi A mathematical study on three layered oscillatory blood flow through stenosed arteries Journal of Bionic Engineering 9 2012 119 131