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Heat transfer characteristics of boundary-layer flows induced by continuous surfaces stretched with prescribed skin friction

Magyari, E. ; Keller, B.

In: Heat and Mass Transfer, 2006, vol. 42, no. 8, p. 679-687

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    Title
    • Heat transfer characteristics of boundary-layer flows induced by continuous surfaces stretched with prescribed skin friction
    Author
    • Magyari, E.. Chair of Physics of Buildings, Institute of Building Technology, Swiss Federal Institute of Technology (ETH) Zürich, 8093, Zürich, Switzerland
    • Keller, B.. Chair of Physics of Buildings, Institute of Building Technology, Swiss Federal Institute of Technology (ETH) Zürich, 8093, Zürich, Switzerland
    Document Type
    • Postprint
    OAI-PMH Identifier
    • oai:doc.rero.ch:318995
    Summary
    A continuous surface stretched with velocity u w=u w (x) and having the temperature distribution T w=T w (x) interacts with the viscous fluid in which it is immersed both mechanically and thermally. The thermal interaction is characterized by the surface heat flux q w=q w (x) and the mechanical one by the skin friction τ w=τ w (x). In the whole previous theoretical research concerned with such processes, either (u w and T w) or (u w and q w) have been prescribed as known boundary conditions. The goal of the present paper is to initiate the investigation of the boundary layer flows induced by stretching processes for which either (τ w and T w ) or (τ w and q w) are the prescribed quantities. The case of an isothermal surface stretched with constant skin friction, (τ w=const., T w=const. ≠ T ∞) is worked out in detail. The corresponding flow and heat transfer characteristics are compared to those obtained for the (well known) case of a uniformly moving isothermal surface (u w=const., T w=const. ≠ T ∞)