Computational Study of Streamfunction-Vorticity Formulation of Incompressible Flow and Heat Transfer Problems

2011 ◽  
Vol 52-54 ◽  
pp. 511-516 ◽  
Author(s):  
Arup Kumar Borah
Keyword(s):  
Heat Transfer ◽  
Finite Element ◽  
Boundary Conditions ◽  
Incompressible Flow ◽  
Computational Study ◽  
The Other ◽  
Governing Equations ◽  
Flow And Heat Transfer ◽  
Continuity Constraint ◽  
Transfer Problems

In this paper we have studied the streamfunction-vorticity formulation can be advantageously used to analyse steady as well as unsteady incompressible flow and heat transfer problems, since it allows the elimination of pressure from the governing equations and automatically satisfies the continuity constraint. On the other hand, the specification of boundary conditions for the streamfunction-vorticity is not easy and a poor evaluation of these conditions may lead to serious difficulties in obtaining a converged solution. The main issue addressed in this paper is the specification in the boundary conditions in the context of finite element of discretization, but approach utilized can be easily extended to finite volume computations.

scholarly journals THERMO-HYDRAULIC FINITE ELEMENT MODELLING OF DISTRICT HEATING NETWORK BY THE UNCOUPLED APPROACH

2003 ◽  
Vol 9 (3) ◽  
pp. 153-162 ◽  
Author(s):  
Irena Gabrielaitienė ◽  
Rimantas Kačianauskas ◽  
Bengt Sunden
Keyword(s):  
Heat Transfer ◽  
Finite Element Method ◽  
Finite Element ◽  
Fluid Flow ◽  
District Heating ◽  
Multilayered Structure ◽  
The Finite Element Method ◽  
Flow And Heat Transfer ◽  
Transfer Problems ◽  
Element Method

The modelling of uncoupled fluid flow and heat transfer problems of a district heating network using the finite element method (FEM) is presented. Since the standard thermo-hydraulic pipe elements cannot be directly used for modelling insulation, the main attention was paid to discretisation of multilayered structure of pipes and surrounding by one-dimensional thermal elements. In addition, validity of the finite element method was verified numerically by solving fluid flow and heat transfer problems in district heating pipelines. Verification analysis involves standard single pipe problems and simulation of fragment of district heating in Vilnius. Pressure and temperature results obtained by finite element method are compared with those by other approaches.

Numerical Simulations of Heat Transfer Problems Using an Immersed Boundary Method on Non-Staggered Grids

2004 ◽  
Author(s):  
J. Rafael Pacheco ◽  
Tamara Rodic ◽  
Arturo Pacheco-Vega ◽  
Robert E. Peck
Keyword(s):  
Heat Transfer ◽  
Fluid Flow ◽  
Staggered Grid ◽  
Immersed Boundary ◽  
Governing Equations ◽  
Step Method ◽  
Fractional Step Method ◽  
Flow And Heat Transfer ◽  
Grid Technique ◽  
Transfer Problems

This paper describes the use of the immersed boundary technique for simulating fluid flow and heat transfer problems over or inside complex geometries. The methodology is based on a fractional step method to integrate in time. The governing equations are discretized and solved on a regular mesh with a finite volume non-staggered grid technique. Several phenomenologically different fluid flow and heat transfer problems are simulated using the technique proposed in this study. The accuracy of the method is second-order, and the efficiency is verified by favorable comparison with previous numerical and experimental results.

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