scholarly journals Numerical solution of the solute transfer problem in porous elastic clay shale

2021 ◽  
Vol 18 (1) ◽  
pp. 694-702
Author(s):  
B. Kh. Imomnazarov ◽  
A. A. Mikhailov ◽  
I. Q. Khaydarov ◽  
A. E. Kholmurodov
Keyword(s):  
Numerical Solution ◽  
Transfer Problem ◽  
Clay Shale ◽  
Solute Transfer

scholarly journals Analytic approximate solutions to the chemically reactive solute transfer problem with partial slip in the flow of a viscous fluid over an exponentially stretching sheet with suction/blowing

2018 ◽  
Vol 8 (1) ◽  
pp. 227-242
Author(s):  
Remus-Daniel Ene ◽  
Ilare Bordeaşu ◽  
Romeo Iosif Negrea
Keyword(s):  
Viscous Fluid ◽  
Transfer Problem ◽  
Approximate Solutions ◽  
Partial Slip ◽  
Solute Transfer ◽  
Similarity Transformations ◽  
Optimal Homotopy Asymptotic Method ◽  
Exponentially Stretching ◽  
First Time ◽  
Good Agreement

Abstract This paper analytically investigates the flow as well as the chemically reactive solute transfer problem in a viscous fluid. The motion equations are reduced to a nonlinear ordinary differential equations system using the similarity transformations. The obtained nonlinear differential system is for the first time approximately solved by means of the Optimal Homotopy Asymptotic Method (OHAM). The effects of the partial slip and suction/blowing parameters are analytically analyzed. Some examples are given; the obtained results provides us with a good agreement with the numerical results and reveal that our procedure is effective, accurate and easy to use.

scholarly journals A NUMERICAL SOLUTION THAT DETERMINES THE TEMPERATURE FIELD INSIDE PHASE CHANGE MATERIALS: APPLICATION IN BUILDINGS

2013 ◽  
Vol 19 (4) ◽  
pp. 518-528 ◽  
Author(s):  
Giuseppina Ciulla ◽  
Valerio Lo Brano ◽  
Antonio Messineo ◽  
Giorgia Peri
Keyword(s):  
Phase Change ◽  
Numerical Solution ◽  
Building Materials ◽  
Phase Change Materials ◽  
Energy Savings ◽  
Transfer Problem ◽  
Energy Performance ◽  
Wall Layer ◽  
Storage Device ◽  
Thermal Mass

The use of novel building materials that contain active thermal components would be a major advancement in achieving significant heating and cooling energy savings. In the last 40 years, Phase Change Materials or PCMs have been tested as thermal mass components in buildings, and most studies have found that PCMs enhance the building energy performance. The use of PCMs as an energy storage device is due to their relatively high fusion latent heat; during the melting and/or solidification phase, a PCM is capable of storing or releasing a large amount of energy. PCMs in a wall layer store solar energy during the warmer hours of the day and release it during the night, thereby decreasing and shifting forward in time the peak wall temperature. In this paper, an algorithm is presented based on the general Fourier differential equations that solve the heat transfer problem in multi-layer wall structures, such as sandwich panels, that includes a layer that can change phase. In detail, the equations are proposed and transformed into formulas useful in the FDM approach (finite difference method), which solves the system simultaneously for the temperature at each node. The equation set proposed is accurate, fast and easy to integrate into most building simulation tools in any programming language. The numerical solution was validated using a comparison with the Voller and Cross analytical test problem.

Optimization of Cost Subject to Uncertainty Constraints in Experimental Fluid Flow and Heat Transfer

1991 ◽  
Vol 113 (2) ◽  
pp. 314-320 ◽  
Author(s):  
J. Peterson ◽  
Y. Bayazitoglu
Keyword(s):  
Heat Transfer ◽  
Fluid Flow ◽  
Uncertainty Analysis ◽  
Numerical Solution ◽  
Transfer Problem ◽  
Quality Data ◽  
Experimental Equipment ◽  
Planning Stage ◽  
Flow And Heat Transfer ◽  
Experimental Fluid

Uncertainty analysis in the initial stages of any experimental work is essential in obtaining high-quality data. It insures that the proposed experiment has been thoroughly planned, and that the quantities to be calculated from the experimental measurements will be known with reasonable accuracy and precision. While an uncertainty analysis helps insure reliable results, there is another equally significant aspect in the experimental planning stage: minimization of experimental equipment expenses. A method is presented here in which these two essential experimental elements are combined and viewed as an optimization problem for systematic examination. The analysis allows a systematic search for the least expensive combination of experimental equipment that will give the desired accuracy of results. For the numerical solution the Sequential Gradient Restoration Algorithm (SGRA) is selected. A typical experimental fluid flow and heat transfer problem is given, demonstrating the analysis and numerical solution.

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