Heat Transfer Effects on Pulsaltile Flow in Tubes with Slowly Varying Cross-sections

Authors

  • W. I. A. Okuyade DEPT OF MATHEMATICS/STATISTICS, UNIVERSITY OF PORT HARCOURT, NIGERIA
  • I. U. Mbeledogu UNIVERSITY OF PORT HARCOURT,PORT HARCOURT
  • T. M. Abbey UNIVERSITY OF PORT HARCOURT

Keywords:

heat transfer, pulsatile, slowly varying tubes, stenosis

Abstract

Analytic study of heat transfer effects on the pulsatile blood flow in tubes with slowly varying cross-sections is presented. The governing non-linear differential equations are solved using the perturbation methods of the type developed by Rao and Devanathan (1973). Expressions for temperature and Nusselt number are obtained and presented graphically for stenosis tubes. It is observed that the amplitude of the pulse, height of constriction and Reynolds number of the flow increase the temperature and heat transfer rates. Furthermore, it is seen that heat generated in  stenosis arterial system could lead to body internal heat problem.

Author Biographies

  • W. I. A. Okuyade, DEPT OF MATHEMATICS/STATISTICS, UNIVERSITY OF PORT HARCOURT, NIGERIA
    DEPT OF MATHEMATICS/STATISTICS, NIL
  • I. U. Mbeledogu, UNIVERSITY OF PORT HARCOURT,PORT HARCOURT
    DEPT OF MATHEMATICS/STATISTICS, NIL
  • T. M. Abbey, UNIVERSITY OF PORT HARCOURT
    DEPT OF PHYSICS, PROF

References

Mittal, R,; Simmons, S. P.; Najja,r F.; (2003) Numerical study of pulsatile flow in a constricted channel. Journal Fluid Mechanics 485, 337-378 (2003).

Nichol, W W.; O’Rourke, M.F.; McDonald’s blood flow in arteries. Theoretical, Experimental and Clinical Principles, 4th Edition. Oxford University Press (1998).

Ayeni, R. O.; Akinrelere, A.E.; On temperature factor and effect of viscosity on blood temperature in arteries.Journal of Theoretical Biology, 109: 479-487(1984).

Burns, J.C.; Parkes, T.; Flow of incompressible fluid in peristaltic tubes. Journal of Fluid Mechanics 29:,731(1967).

Shapiro, A.H,; Jaffin, M.Y; Weinburg, S.L.; Flow of incompressible fluid in peristaltic tubes. Journal of Fluid

Mechanics, 37, 409(1969).

Lee, J.S.; Fung, Y.C; Flow of incompressible fluid in locally constricted tubes. Journal of Applied Mechanics 37, 9 (1970).

Yin, F.C.; Fung, Y.C.; Flow of incompressible fluid in peristaltic tubes. Journal of Applied Mechanics, 47, 93 (1971).

Etkin, B.; Korbacher, G.K..; Keffe, R.T.; Acoustic radiation from a stationary cylinder in a fluid stream (aeolian tones). Journal of Acoustic Society of America, 29 (1957).

Bruns, D.L.; A general theory of the causes of mumurs in the cardiovascular system. American Journal of Medicine, 360, 374 (1959).

Ask, P.; Hok , B.; Lyod, D.; Terio, H.; Bio-acoustic signals from stenotic tube flow: state of the art and perspective for future methodological development. Medical Biological Engineering Computation, 669, 675 (1995).

Havemann, H.R.; Rao, N.N.; Heat transfer for pulsating laminar flows,.Nature 174, 41 (1954).

Siegel, R,; Perlmutter; Heat transfer for pulsating laminar duct flow, Trans ASME Journal of Maths and Physical Sciences 26, 19-36 (1962).

Fallen, M..; Heat transfer in a pipe with superimposed pulsating flow. Wameund Stolffubertragun , 16, 89-99 (1982).

Peattle, R.; Budwig, R,; Heat transfer in laminar oscillating flow in cylindrical and conical tubes. International Journal of Heat Mass Transfer, 32(5):,923-934 (1989).

Gernin, L.G.; Manchikha, S..P.; Loval, A.P.; Sviridov, V.G.; Hydrodynamics and heat transfer with pulsating fluid

flow in tubes. Thermal Engineering, 39 (1993).

Creff, R.; Andrew, P.; Dynamic and convective results from a developing unsteady flow. International Journal of

Numerical Methods in Fluids, 5,745-760 (1985).

Haneke, H.;Laschelfski, H.; Grobe-Gergemann, A.; Mitra, N.K.; Natural forced convection and combustion

simulation. Advanced Computer Methods in Heat Transfer, 11(2), 287-298 (1992).

Kim, S.Y.; Kang, B.H.; Hyun, J.M.; Heat transfer in thermally developing region of a pulsating channel flow.

International Journal of Heat Mass Transfer, 36( 17),

-426 (1993).

Base, T.E.; Campbel, M.R.;Hobbs, J.; The effect of a pulsating flow on the forced convection heat transfer inside a circular heated tube. Process 15th Canadian Congress of Applied Mechanics, Cancam, 95(2 ), 612-613 (1995).

Rao, A.R.; Devanathan, R.; Pulsatile flows in tubes of varying cross-sections, Z. Angew Maths Physics, 24, 203-213

(1973).

Peyush Chandra; Krishna; Low Reynolds number flow in tubes of varying cross-sections with absorbing walls.Journal of Heat Transfer, 84(2), 11-23 (1982).

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Published

2015-12-14

How to Cite

Heat Transfer Effects on Pulsaltile Flow in Tubes with Slowly Varying Cross-sections. (2015). Asian Journal of Applied Sciences, 3(6). https://ajouronline.com/index.php/AJAS/article/view/3354

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