Wave Instability Characteristics for the Entire Regime of Mixed Convection Flow Along Vertical Flat Plates

Abstract

Wave instability of mixed convection flow along an isothermal vertical flat plate is analyzed by the linear theory for the entire mixed convection regime (0 ≤ χ ≤ 1, χ = [1 + ( Grx Rex2)1 4]-1) for fluids with Prandtl number of 0.7 and 7. In the analysis, the domain beyond the mainflow boundary layer edge (η ≥ η∞) is solved analytically to provide boundary conditions at η = η∞ instead of those at η = ∞. This treatment is important in the use of the modified Thomas transformation when λ(λ = Rex1 2 + Grx1 4) is small. Dual solutions of critical λ* values are seen to exist in the range of 0 ≤ χ ≤ 0.5. The results show that the two limiting neutral stability curves, one for the Blasius flow (χ = 1 or Grx = 0, with λ* = 290.6) and the other for the pure free convection flow (χ = 0 or Rex = 0, with λ* = 33.33), correspond to two different modes. © 1987.

Department(s)

Mechanical and Aerospace Engineering

International Standard Serial Number (ISSN)

0017-9310

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1987 Elsevier, All rights reserved.

Publication Date

01 Jan 1987

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