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On the temperature of radial bearings. 1

Part of: Thermodynamics and heat transfer

Published online by Cambridge University Press:  26 February 2010

R. O. Ayeni ,
E. A. Akinrelere  and
J. O. Amao
R. O. Ayeni
Affiliation:
Department of Mathematics, University of Ife, transfer. Ile-Ife, Nigeria.
E. A. Akinrelere
Affiliation:
Department of Mathematics, University of Ife, Ile-Ife, Nigeria.
J. O. Amao
Affiliation:
Department of Mathematics, University of Ife, Ile-Ife, Nigeria.
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Abstract

This paper considers the flow of a dissipative fluid in a radial bearing. By looking at the equations in the thermal boundary layer it is shown that, if a certain parameter m is less than unity, then the temperature in the boundary layer is bounded for all time.

MSC classification

Secondary: 80A20: Heat and mass transfer, heat flow
Type
Research Article
Information
Mathematika , Volume 32 , Issue 2 , December 1985 , pp. 317 - 323
Copyright
Copyright © University College London 1985

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References

1.Ayeni, R. O. and Akinrelere, E. A.. Some remarks on hydrodynamic thermal burst. To appear.Google Scholar
2.Ayeni, R. O.. On the thermal burst of variable viscosity flows between concentric cylinders. J. Appl. Math. Phys. (ZAMP), 33 (1982), 408–413.CrossRefGoogle Scholar
3.Ayeni, R. O.. On the blow up problem for semilinear heat equations. SIAM J. Math. Anal., 14 (1983), 138–141.CrossRefGoogle Scholar
4.Buevich, Y. A. and Zaslvaskii, M. I.. Hydrodynamic thermal burst in radial bearing. J. Eng. Phys., 42 (1982), 566–571.CrossRefGoogle Scholar
5.Pearson, J. R.. Variable-viscosity flows with high heat generation. J. Fluid Mech., 83 (1977), 191–206.CrossRefGoogle Scholar
6.Ockendon, H.. Channel flow with temperature-dependent viscosity and internal viscous dissipation. J. Fluid Mech., 93 (1979), 737–746.CrossRefGoogle Scholar
7.Pao, C. V.. Nonexistence of global solutions for an integrodiflerential system in reactor dynamics. SIAM J. Math. Anal, 11 (1980), 559–564.CrossRefGoogle Scholar
8.Pascal, H.. Nonsteady flow of non-Newtonian fluids through a porous medium. Int. J. Eng. Sc, 21 (1983), 199–210.CrossRefGoogle Scholar
9.Peletier, L. A.. Asymptotic behaviour of temperature profiles of a class of non-linear heat conduction problems. Quart. J. Mech. Appl. Math., 33 (1970), 441–447.CrossRefGoogle Scholar
10.Shampine, L. F.. Concentration-dependent diffusion. Quart. Appl. Math., 30 (1973), 441–452.CrossRefGoogle Scholar
11.Stolin, A. M., Bostadshiyan, S. A. and Plotnikova, N. V.. Conditions for occurrence of hydrodynamic thermal explosion in flows of power-law fluids. Heat Transfer-Soviet Research, 10 (1978), 86–93.Google Scholar
12.Winter, H.H.. Viscous dissipation on molten polymers. Adv. Heat Transfer. 13 (1977), 205–230.CrossRefGoogle Scholar
13.Yashchenko, G. N. and Sukhareva, L. A.. Temperature dependence of the thermo-physical characteristics of oligomers and cross-linked polymers based on them. J. Engng. Phys., 35 (1978), 1167–1170.CrossRefGoogle Scholar