Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

Nonsimilar solution of an unsteady mixed convection flow on a moving slender cylinder

D. Anilkumar*, S. Roy
Department of Mathematics, Indian Institute of Technology, Chennai, 600036, India

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ABSTRACT
A general analysis has been developed to study the flow and heat transfer characteristics of an unsteady laminar mixed convection on a continuously moving vertical slender cylinder. The governing boundary layer equations along with the boundary conditions are first cast into a dimensionless form by a nonsimilar transformation and the resulting system of nonlinear coupled partial differential equations is then solved by an implicit finite difference scheme in combination with the quasilinearization technique.

Keywords:  Mixed convection; Vertical slender cylinder; Quasilinearization; Nonsimilar solution; Boundary layer; Heat transfer

* Corresponding author. Tel.: +91 (44) 2257 8492; Fax: +91 (44) 2257 0593; E-mail: anil@iitm.ac.in