Published 6 issues per year
ISSN Print: 1940-2503
ISSN Online: 1940-2554
Indexed in
A NUMERICAL METHOD FOR THREE-DIMENSIONAL PARABOLIC FLOW AND HEAT TRANSFER IN STRAIGHT DUCTS OF IRREGULAR CROSS SECTION
ABSTRACT
In the proposed method, a step-by-step marching procedure in the axial direction is used to solve the problems of interest from the inlet to the exit planes of the ducts. In each step or slice, the following formulation is used: the slice is first discretized into six-node prism-shaped elements of triangular cross section, and then each set of corresponding upstream and downstream nodes are associated with prism-shaped control volumes of polygonal cross section. The dependent variables are stored at the same nodes (colocated) and interpolated using equal-order element-based functions. Algebraic approximations to integral mass, momentum, and energy conservation equations for each of the prism-shaped control volumes are then derived using the aforementioned interpolation functions, and the resulting discretized equations are solved using an adaptation of a sequential iterative variable adjustment scheme. This formulation provides the following novel capabilities compared to those of earlier numerical methods for the solution of three-dimensional parabolic problems: it is applicable to ducts of irregular- and regular-shaped cross section; and for any axial step size, the solution is independent of the sequence in which the dependent variables are solved. A novel automatic axial step-size selection procedure is also proposed for problems in which the dependent variables vary monotonically in the axial direction. The validity of the proposed method is established by applying it to developing laminar forced convection in a straight duct of square cross section and comparing the results to those available in the literature.
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Baliga Bantwal R. (Rabi), Lokhmanets Iurii Yuri, Generalized Richardson extrapolation procedures for estimating grid-independent numerical solutions, International Journal of Numerical Methods for Heat & Fluid Flow, 26, 3/4, 2016. Crossref
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Manca Oronzio, Nardini Sergio, Ricci Daniele, Tamburrino Salvatore, A Numerical Analysis on Nanofluid Mixed Convection in Triangular Cross-Sectioned Ducts Heated by a Uniform Heat Flux, Advances in Mechanical Engineering, 7, 1, 2015. Crossref
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Atabaki Nima, Jesuthasan Nirmalakanth, Baliga Bantwal R. (Rabi), , 2022. Crossref