THERMAL SCIENCE

International Scientific Journal

Rahmat Ellahi

,

Arshad Riaz

,

Saeid Abbasbandy

,

Tasawar Hayat

,

Kambiz Vafai

A STUDY ON THE MIXED CONVECTION BOUNDARY LAYER FLOW AND HEAT TRANSFER OVER A VERTICAL SLENDER CYLINDER

ABSTRACT
In this investigation, the series solutions of mixed convection boundary layer flow over a vertical permeable cylinder are constructed. Two types of series as well numerical solutions are presented by choosing exponential and rational bases. The resulting differential system are solved by employing homotopy analysis method (HAM) and Pade technique which have been proven to be successful in tackling nonlinear problems. We offer various verifications of the solutions by comparing to existing, documented results and also mathematically, through reduction of sundry parameters. The convergence of the series solutions have been discussed explicitly. Comparison with existing results reveal that the series solutions are not only valid for large (aiding flow) but also for small values (opposing flow) of λ and the dual solutions do not obtain in both cases.
KEYWORDS
mixed convection, series solutions, homotopy analysis method, pade technique, porous cylinder, steady flow
PAPER SUBMITTED: 2012-09-23
PAPER REVISED: 2012-04-26
PAPER ACCEPTED: 2012-04-27
DOI REFERENCE: https://doi.org/10.2298/TSCI110923097E
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2014, VOLUME 18, ISSUE Issue 4, PAGES [1247 - 1258]
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A study on the mixed convection boundary layer flow and heat transfer over a vertical slender cylinder

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