Library Subscription: Guest

A NUMERICAL METHOD FOR THREE-DIMENSIONAL PARABOLIC FLOW AND HEAT TRANSFER IN STRAIGHT DUCTS OF IRREGULAR CROSS SECTION

Volume 1, Issue 3, 2009, pp. 259-288
DOI: 10.1615/ComputThermalScien.v1.i3.20
Get accessGet access

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.

CITED BY
  1. 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

  2. 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

  3. Atabaki Nima, Jesuthasan Nirmalakanth, Baliga Bantwal R. (Rabi), , 2022. Crossref

Forthcoming Articles

Positivity Preserving Analysis of Central Schemes for Compressible Euler Equations Souren Misra, Alok Patra, Santosh Kumar Panda A lattice Boltzmann study of nano-magneto-hydrodynamic flow with heat transfer and entropy generation over a porous backward facing-step channel Hassane NAJI, Hammouda Sihem, Hacen Dhahri A Commemorative Volume in Memory of Darrell Pepper David Carrington, Yogesh Jaluria, Akshai Runchal In Memoriam: Professor Darrell W. Pepper – A Tribute to an Exceptional Engineering Educator and Researcher Akshai K. Runchal, David Carrington, SA Sherif, Wilson K. S. Chiu, Jon P. Longtin, Francine Battaglia, Yongxin Tao, Yogesh Jaluria, Michael W. Plesniak, James F. Klausner, Vish Prasad, Alain J. Kassab, John R. Lloyd, Yelena Shafeyeva, Wayne Strasser, Lorenzo Cremaschi, Tom Shih, Tarek Abdel-Salam, Ryoichi S. Amano, Ashwani K. Gupta, Nesrin Ozalp, Ting Wang, Kevin R. Anderson, Suresh Aggarwal, Sumanta Acharya, Farzad Mashayek, Efstathios E. Michaelides, Bhupendra Khandelwal, Xiuling Wang, Shima Hajimirza, Kevin Dowding, Sandip Mazumder, Eduardo Divo, Rod Douglass, Roy E. Hogan, Glen Hansen, Steven Beale, Perumal Nithiarasu, Surya Pratap Vanka, Renato M. Cotta, John A. Reizes, Victoria Timchenko, Ashoke De, Keith A Woodbury, John Tencer, Aaron P. Wemhoff, G.F. ‘Jerry’ Jones, Leitao Chen, Timothy S. Fisher, Sandra K. S. Boetcher, Patrick H. Oosthuizen, Hamidreza Najafi, Brent W. Webb, Satwindar S. Sadhal, Amanie Abdelmessih Modeling of Two-Phase Gas-Liquid Slug Flows in Microchannels Ayyoub Mehdizadeh Momen, SA Sherif, William E. Lear Performance of two dimensional planar curved micronozzle used for gas separation Manu K Sukesan, Shine SR A Localized Meshless Method for Transient Heat Conduction with Applications Kyle Beggs, Eduardo Divo, Alain J. Kassab Non-nested Multilevel Acceleration of Meshless Solution of Heat Conduction in Complex Domains Anand Radhakrishnan, Michael Xu, Shantanu Shahane, Surya P Vanka Assessing the Viability of High-Capacity Photovoltaic Power Plants in Diverse Climatic Zones : A Technical, Economic, and Environmental Analysis Kadir Özbek, Kadir Gelis, Ömer Özyurt MACHINE LEARNING LOCAL WALL STEAM CONDENSATION MODEL IN PRESENCE OF NON-CONDENSABLE FROM TUBE DATA Pavan Sharma LES of Humid Air Natural Convection in Cavity with Conducting Walls Hadi Ahmadi moghaddam, Svetlana Tkachenko, John Reizes, Guan Heng Yeoh, Victoria Timchenko
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections Prices and Subscription Policies Begell House Contact Us Language English 中文 Русский Português German French Spain