Responses of Commingled Systems With Mixed Inner and Outer Boundary Conditions Using Derivatives

1994 ◽  
Vol 9 (04) ◽  
pp. 264-271 ◽  
Author(s):  
Gao Chao ◽  
Jack R. Jones ◽  
Rajagopal Raghavan ◽  
W. John Lee
Author(s):  
Irfan Anjum Badruddin

Purpose The purpose of this paper is to investigate the heat transfer in an arbitrary cavity filled with porous medium. The geometry of the cavity is such that an isothermal heating source is placed centrally at the bottom of the cavity. The height and width of the heating source is varied to analyses its effect on the heat transfer characteristics. The investigation is carried out for three different cases of outer boundary conditions such as two outside vertical walls being maintained at cold temperature To, two vertical and top horizontal surface being heated to. To and the third case with top surface kept at To but other surfaces being adiabatic. Design/methodology/approach Finite element method is used to solve the governing equations. Findings It is observed that the cavity exhibits unique heat transfer behavior as compared to regular cavity. The cases of boundary conditions are found to affect the heat transfer rate in the porous cavity. Originality/value This is original work representing the heat transfer in irregular porous cavity with various boundary conditions. This work is neither being published nor under review in any other journal.


2016 ◽  
Vol 20 (4) ◽  
pp. 944-968
Author(s):  
Kai Zhang ◽  
Ming Li ◽  
Jingzhi Li

AbstractRemoving geometric details from the computational domain can significantly reduce the complexity of downstream task of meshing and simulation computation, and increase their stability. Proper estimation of the sensitivity analysis error induced by removing such domain details, called defeaturing errors, can ensure that the sensitivity analysis fidelity can still be met after simplification. In this paper, estimation of impacts of removing arbitrarily constrained domain details to the analysis of incompressible fluid flows is studied with applications to fast analysis of incompressible fluid flows in complex environments. The derived error estimator is applicable to geometric details constrained by either Dirichlet or Neumann boundary conditions, and has no special requirements on the outer boundary conditions. Extensive numerical examples were presented to demonstrate the effectiveness and efficiency of the proposed error estimator.


1998 ◽  
Vol 58 (4) ◽  
Author(s):  
M. E. Rupright ◽  
A. M. Abrahams ◽  
L. Rezzolla

1998 ◽  
Vol 80 (9) ◽  
pp. 1812-1815 ◽  
Author(s):  
A. M. Abrahams ◽  
L. Rezzolla ◽  
M. E. Rupright ◽  
A. Anderson ◽  
P. Anninos ◽  
...  

1974 ◽  
Vol 41 (1) ◽  
pp. 25-28 ◽  
Author(s):  
T. E. Unny ◽  
Norio Hayakawa

The boundary conditions of the boundary-layer problem between two parallel turbulent streams are investigated solving higher-order terms of the inner and outer boundary-layer expansion. It is shown that the assumption that the eddy viscosity is proportional to longitudinal distance x fails to yield the third boundary condition of the boundary-layer problem. In this paper this boundary condition has been derived based on the consideration that the eddy viscosity attains a constant value at large but finite distance. The result applies to compressible as well as incompressible flow.


1970 ◽  
Vol 14 (1) ◽  
pp. 425-436
Author(s):  
A. B. Underhill ◽  
R. Cayrel ◽  
K. H. Böhm ◽  
V. V. Ivanov ◽  
J. T. Jefferies ◽  
...  

This report has been prepared by the President with the assistance of the Vice-President, the Members of the Organizing Committee, V. V. Ivanov, P. Conti and of D. G. Hummer. The work of Commission 36 comes in contact with that of many commissions. Some subjects may be dealt with more fully in those reports; some subjects may have been “unlawfully” included here. Considerable choice has been exercised by the President about what to mention and in which section of the report to place it. The final product is only indicative of the large amount of work going on. An extensive bibliography has been compiled and will be distributed to commission members.Commissions 12, 27, 29, 44 and 45 deal with observational material which our theories attempt to interpret, thus it is essential to study the reports of these commissions to appreciate the diversity of material for which theories are needed and against which theories may be checked. The theoretical treatment of the problems of planetary atmospheres, Commission 16, is not entirely divorced from that of stellar atmospheres. To set realistic inner boundary conditions on our atmosphere models and on our thinking, we must consider the material of Commission 35 while to set the outer boundary conditions we may consider the physical state of planetary nebulae which is one subject of Commission 34. When we wish to apply ideas about the interactions between radiation, atoms, ions and molecules we use material which lies in the province of Commission 14.


2012 ◽  
Vol 546 ◽  
pp. A119 ◽  
Author(s):  
R. D. Rohrmann ◽  
L. G. Althaus ◽  
E. García-Berro ◽  
A. H. Córsico ◽  
M. M. Miller Bertolami

Sign in / Sign up

Export Citation Format

Share Document