Successive relaxation method for minimization of functionals and some efficiency estimates

1988 ◽  
Vol 41 (4) ◽  
pp. 1093-1098 ◽  
Author(s):  
I. V. Konnov
Keyword(s):  
Relaxation Method ◽  
Successive Relaxation

Transient Rotational Flow of Radiative Nanofluids over an Impermeable Riga Plate with Variable Properties

2018 ◽  
Vol 387 ◽  
pp. 640-652 ◽  
Author(s):  
Sachin Shaw ◽  
Manoj Kumar Nayak ◽  
Oluwole Daniel Makinde
Keyword(s):  
Variable Viscosity ◽  
Relaxation Method ◽  
Variable Thermal Conductivity ◽  
Shear Stresses ◽  
Rotational Flow ◽  
Variable Properties ◽  
Transverse Wall ◽  
Fluid Properties ◽  
Riga Plate ◽  
Successive Relaxation

The present investigation imparts an analysis on the effect of time-varying rotation and thermal radiation on diversified nanofluids possessing water as base fluid and Magnetite , Cupper Oxide (CuO), and Titania (TiO) as nanoparticles. Variable fluid properties such as variable viscosity and variable thermal conductivity are taken into consideration. Ensuring implementation, Successive Relaxation method is the instrumental in obtaining the most appropriate numerical solution of the transformed differential equations. One of the marvel outcomes of the current study is that moderate rotation reduces the axial and transverse wall shear stresses and augments the heat transfer rate while higher rotation exhibits the reverse trend for Water-Magnetite, Water-Cupper Oxide, Water-Titania nanofluids.

Data-parallel line relaxation method for the Navier-Stokes equations

AIAA Journal ◽  
1998 ◽  
Vol 36 ◽  
pp. 1603-1609 ◽  
Author(s):  
Michael J. Wright ◽  
Graham V. Candler ◽  
Deepak Bose
Keyword(s):  
Stokes Equations ◽  
Relaxation Method ◽  
Parallel Line ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Data Parallel

Local block relaxation method for the solution of equations of gasdynamics

AIAA Journal ◽  
2000 ◽  
Vol 38 ◽  
pp. 1377-1384
Author(s):  
Carlo de Nicola ◽  
Renato Tognaccini ◽  
Vittorio Puoti
Keyword(s):  
Relaxation Method ◽  
Solution Of Equations ◽  
Block Relaxation ◽  
Local Block

The Influence of Radiation on Arc Constriction in the Anode Region

1975 ◽  
Vol 97 (1) ◽  
pp. 41-46 ◽  
Author(s):  
E. Pfender ◽  
J. Schafer
Keyword(s):  
Analytical Model ◽  
Atmospheric Pressure ◽  
High Intensity ◽  
Radiation Effects ◽  
Relaxation Method ◽  
Anode Region ◽  
Conservation Equations ◽  
Radiation Losses ◽  
Argon Arcs

An improved analytical model for the description of the anode contraction zone of a high intensity arc takes radiation effects into account. The conservation equations for the anode contraction zone and the adjacent undisturbed arc column are solved numerically with a relaxation method. Results for atmospheric pressure argon arcs at three different currents demonstrate that radiation losses reduce temperature peaks substantially and, at the same time, provide a smooth matching of arc column and contraction zone solutions. Although the model seems to be adequate for a large portion of the anode contraction zone, the results indicate that refinements of the model are necessary for the region close to the anode, in particular, deviations from LTE have to be taken into account.

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