﻿ Gauss – Seidel numerical study of 2D incompressible symmetric viscous flow in a closed rectangular C section channel_4_Hill Publishing Group
Journals
Contact Information
Hill Publishing Group
8825 53rd Ave
Elmhurst, NY 11373, USA
E-mail: contact@hillpublisher.com

# Gauss – Seidel numerical study of 2D incompressible symmetric viscous flow in a closed rectangular C section channel

Author：Jacob Nagler　Date：July 16,2019　Hits：

## Abstract

In this paper, numerical simulation based on generalized Gauss-Seidel method (which is also known as theta method) was performed in case of a 2D incompressible symmetric viscous flow in a closed rectangular C section channel along with no-slip boundary conditions on the walls. Also, model calibration was involved during numerical simulation model. Comparisons between other numerical studies and current study have been found to adjust qualitatively.

## References

[1]   T. Fukuchi, On convergence process of turbulent shear flows in ducts of rectangular cross-section, 52nd Japan National Congress for Theoretical and Applied Mech.52 (2003)83–90.
[2]   T. Fukuchi, Numerical calculation of fully-developed laminar flows in arbitrary cross-sections using finite difference method, AIP Advances.(1) (2011) 042109-1.
[3]   T. Fukuchi, Numerical stability analysis and rapid algorithm for calculations of fully developed laminar flow through ducts using time-marching method, AIP Advances.(3) 032101 (2013).
[4]   T. Fukuchi, Numerical analyses of steady-state seepage problems using the interpolation finite difference method, Soils and Foundations, 56(4) (2016) 608–626.
[5]   T. T. Chandratilleke and T. Nadim, Forced convective heat transfer and fluid flow characteristics in curved ducts, INTECH. (2012) 125-150.
[6]   D. Xiu and D. M. Tartakovsky, Numerical methods for differential equations is random domains, SIAM J. Sci. Comput., 28 (3) (2006) 1167–1185.
[7]   M.R.H. Nobari, A. Nousha and E. Damangir, A numerical investigation of flow and heat transfer in rotating U-shaped square ducts, Int. J. of Thermal Sci. 48 (2008) 590–601.
[8]    P. Jothiappan, Control of laminar fluid flow and heat transfer in a planar T-channel With rotating obstacle,  J. Phys. Math. 6 (2) (2015) 1-6.
[9]   S. Panahi, H. Ghassemi and H. Nowruzi, Numerical calculations of the potential on the rectangular and elliptic domains with various aspect ratios, J. of App. Math. and Comp Mech. 16 (3) (2017) 73-83.
[10]  A. M. Sahar, J. Wissink, M. M. Mahmoud and T. G. Karayiannis, M. S. A. Ishak, Effect of hydraulic diameter and aspect ratio on single phase flow and heat transfer in a rectangular micro-channel, App. Thermal Eng. (115) (2017) 793–814.
[11] T. Fukuchi, High-order accurate and high-speed calculation system of 1D Laplace and Poisson equations using the interpolation finite difference method, AIP Advances. (9) (2019) 055312-1.
[12] P.K. Pandey and S.S.A. Jaboob, A finite difference method for a numerical solution of elliptic boundary value problems, App. Math. & Nonlinear Sci. 3(1) (2018) 311–320.

## Full-Text HTML

Gauss – Seidel numerical study of 2D incompressible symmetric viscous flow in a closed rectangular C section channel

Jacob Nagler

School of Mechanical Engineering, University of Tel-Aviv, Tel-Aviv 69978, Israel

*Corresponding   author:   Jacob   Nagler, School of Mechanical Engineering, University of Tel-Aviv, Tel-Aviv 69978, Israel.
Email: syankitx@Gmail.com

How to cite this paper: Nagler J. (2019) Gauss – Seidel numerical study of 2D incompressible symmetric viscous flow in a closed rectangular C section channel. Journal of Applied Mathematics and Computation, 3(4), 599-605.
DOI: 10.26855/jamc.2019.06.001
>> No Data