Free convection from an isothermal elliptical cylinder in Bingham plastic fluids is studied numerically. This work spans a wide range of aspect ratios of the elliptical cylinder ( 0.1 E 10 ) to delineate the effect of shape on the flowfield close to the heated cylinder. The influence of the relevant parameters, namely, Rayleigh number ( 10 2 R a 10 5 ), Prandtl number ( 10 P r 100 ), and Bingham number ( 0.5 B n 10 7 ), on the momentum and heat transfer characteristics is studied in terms of the yielded/unyielded regions, streamline, isotherm contours, and local Nusselt number for an elliptical cylinder of constant surface area in blunt ( E > 1 ) and slender orientations ( E < 1 ). The Nusselt number shows a positive dependence on the Rayleigh number, and it correlates negatively with Bingham and Prandtl numbers. The blunt orientations ( E < 1 ) enhance heat transfer as compared to that for a circular cylinder (of equal surface area) while slender orientations ( E > 1 ) impede it. Using the present numerical results, predictive correlations have been established in terms of the modified Rayleigh number ( R a * ) and Prandtl number ( P r * ), thereby enabling the prediction of Nusselt number in a new application.


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    Title :

    Laminar Free Convection in Bingham Plastic Fluids from an Isothermal Elliptic Cylinder


    Contributors:

    Published in:

    Publication date :

    2015-02-27


    Size :

    16 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English