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Tytuł artykułu

Boundary layers growth on a moving surface due to an impulsive motion and a sudden increase of wall heat flux

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EN
In this paper we investigate the development of the momentum and thermal boundary layers over a continuous moving semi-infinite flat plate when the extemal stream starts impulsively from rest at time t = O with a constant velocity [...] It is assumed that the plate starts to supply heat to the fluid at a constant rate qw at time t = O and maintained at this rate. The problem has been formulated in a new system of scaled coordinates such that for [...] it reduces to Rayleigh type of equation and for [...] (large time) it reduces to Blasius or Sakiadis type of equation. A new scale of dimensionless time ? has been used which reduces the region of time integration from an infinite region [...] to a finite time region [...] which reduces the computational time considerably. The goveming partial differential equations are transformed into a singular parabolic partial differential equations which have been solved numerically for a range of values of the goveming parameters using an implicit finite-difference scheme. The results show that there is a smooth transition from Rayleigh solution to Blasius or Sakiadis solution as the dimensionless time [...] increases from zero to one.
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203--215
Opis fizyczny
Bibliogr. 19 poz., wykr.
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Bibliografia
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  • Chappidi P.R. and F.S. Gunnerson F.S. (1989): Analysis of heat and momentum transport along a moving surface. - Int. J. Heat Mass Transfer, vol.32, pp.1383-1386.
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  • Harris S.D., Ingham D.B. and Pop I. (2001): Transient boundary-layer heat transfer from a flat plate subjected to a sudden change in heat flux. - Eur. J. Mech. B-Fluids, vol.20, pp.187-204.
  • Hussaini M.Y., Lakin W.D. and Nachman A. (1987): On similarity solutions of a boundary layer problem with an upstream moving wall. - SIAM J. Appl. Math., vol.47, pp.699-709.
  • Ingham D.B. (1977): Singular parabolic partial differential equations that arise in impulsive motion problems. - J. Appl. Mech., vol.44, pp.396-400.
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  • Lakshmisha K.N., Venkateswaran S. and Nath G. (1988): Three-dimensional unsteady flow with heat and mass transfer over a continuous stretching surface. - J. Heat Transfer, vol.110, pp.590-595.
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  • Lin H.-T. and Huang S.-F. (1994): Flow and heat transfer of plane surfaces moving in parallel and reversely to the free stream. - Int. J. Heat Mass Transfer, vol.37, pp.333-336.
  • Magyari E. and Keller B. (2000): Exact solutions for self-similar boundary-layer flows induced by permeable stretching surfaces. - Eur. J. Mech. B-Fluids, vol.19, pp.109-122.
  • Magyari E., Ali M.E. and Keller B. (2001): Heat and mass transfer characteristics of the self-similar boundary-layer flows induced by continuous surfaces stretched with rapidly decreasing velocities. - Heat Mass Transfer, vol.38, pp.65-74.
  • Na T.-Y. and Pop I. (1996): Flow and heat transfer over a longitudinal circular cylinder moving in parallel or reversely to a free stream. - Acta Mechanica, vol.118, pp.185-195.
  • Sakiadis B.C. (1961): Boundary-layer behavior on continuous moving surface - Parts 1 and 2. - A.I.Ch.E.Jl, vol.7, pp.26-28 and pp.221-225.
  • Vajravelu K. and Mohapatra R.N. (1990): On fluid dynamics drag reduction in some boundary layer flows. - Acta Mechanica, vol.81, pp.59-68.
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Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0035-0013
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