ARTICLE:

• ANALYSIS OF TRANSIENT PERIODIC LAMINAR INTERNAL FORCED CONVECTION VIA ASYMPTOTIC SOLUTION OF COMPLEX EIGENVALUE PROBLEMS  download article

Mazhar Unsal
Department of Mechanical Engineering, University of Gaziantep, 27310 Gaziantep, Turkey

ABSTRACT

Laminar forced convection inside parallel-plate channels with periodic variation of inlet temperature is analysed. The Method of Matched Asymptotic Expansions (MMAE) is utilized to obtain a closed form asymptotic solution of the complex eigenvalue problem. The asymptotic solution presented is accurate for all eigenvalues when the dimensionless frequency of oscillation at inlet is small (Ω<1). The asymptotic solution presented is inaccurate for small eigenvalues when the dimensionless frequency of oscillation at inlet is large (Ω>1) but yields accurate predictions for large eigenvalues.

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