scholarly journals FINITE ELEMENT FLOW ANALYSIS FOR FLOW-THROUGH PROBLEMS AND OUT-FLOW PROBLEMS : A new approach for the pressure boundary condition on the open boundary

1989 ◽  
Vol 397 (0) ◽  
pp. 1-8 ◽  
Author(s):  
MASAYUKI SHIMURA
Keyword(s):  
Boundary Condition ◽  
Finite Element ◽  
Flow Analysis ◽  
Open Boundary ◽  
New Approach ◽  
Flow Problems ◽  
Pressure Boundary Condition ◽  
Flow Through

Finite Element Analysis of Two-Dimensional Turbulent Asymmetric Near and Far Non-Periodic and Periodic Wakes by κ-ϵ Model of Turbulence

1993 ◽  
Author(s):  
Amlan Kusum Nayak ◽  
N. Venkatrayulu ◽  
D. Prithvi Raj
Keyword(s):  
Boundary Condition ◽  
Finite Element ◽  
Wake Flow ◽  
Two Dimensional ◽  
Galerkin Finite Element Method ◽  
Element Analysis ◽  
Galerkin Finite Element ◽  
Flow Problems ◽  
Newton Raphson ◽  
Good Agreement

Two dimensional time averaged, steady incompressible, adiabatic turbulent asymmetric near and far non-periodic and periodic wake flow problems are solved by Galerkin Finite Element Method. A primitive-variables formulation is adopted using Reynolds-averaged momentum equations, with standard k-ε turbulence model. Finite element equations are solved by Newton-Raphson technique with relaxation, using frontal solver. Periodic boundary condition is specified on the periodic lines of the cascade, and asymptotic boundary condition is specified at the exit. These boundary conditions are applied without much difficulty which are not so straight forward in finite volume (FV) method. The results show good agreement with FV prediction and experimental data.

On the Viscous Flow Through a Long Pipe With Non-Constant Pressure Boundary Condition

2018 ◽  
Vol 73 (7) ◽  
pp. 639-644 ◽  
Author(s):  
Eduard Marušić-Paloka ◽  
Igor Pažanin
Keyword(s):  
Boundary Condition ◽  
Asymptotic Analysis ◽  
Small Parameter ◽  
Cross Section ◽  
Constant Pressure ◽  
Viscous Incompressible Fluid ◽  
Fluid Velocity ◽  
Circular Cross Section ◽  
Pressure Boundary Condition ◽  
Flow Through

AbstractWe investigate the flow of a viscous incompressible fluid through a straight long pipe with a circular cross section. The flow is driven by the prescribed pressures at the pipe’s ends, where pressure p0 on the pipe’s entry is assumed to be non-constant. Using asymptotic analysis with respect to the small parameter (being the ratio between the pipe’s radius and its length), we replace the non-constant pressure boundary condition with the effective one governing the macroscopic flow. We also derive the optimal boundary pressure p0 such that the fluid velocity through a pipe is maximal.

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