Scientific Research Communications

Implementation of 3Omega Method for a Wide Range Measurements of Thermal Conductivity of Liquids

2023-09-06T20:49:56+00:00

Thermal conductivity is an important thermophysical property of materials. The advancements in material sciences and manufacturing techniques have led to the development of various techniques for thermal conductivity measurements. Among these methods, the AC hot wire (3 omega) method is a prominent option due to its advantages such as insensitivity to black body radiation and minimal sample requirement. Even though this measurement method has been quite popular in thermal conductivity measurements of thin films for several decades and is gathering attention for the measurements of liquids, there are no studies where the hardware of the measurement methodology is depicted as the method is quite complicated. In this study, a custom-made 3omega setup is presented and its performance in a wide range of thermal conductivity measurements is evaluated by investigating the thermal conductivity of base fluids such as water, ethanol, methanol, ethylene glycol (EG), and mineral oil. In addition, the relative thermal conductivity of the base fluids is compared with the literature. The proposed setup shows that the maximum error rates were obtained in a range of 0.5 to 5% depending on the base fluid.

An Efficient Index-Based Algorithm for Exact Subgraph Isomorphism on Bipartite Graphs

2024-01-17T17:06:44+00:00

Graphs are widely used to represent various real-world networks, but their non-linear nature and size increase pose challenges for efficient analysis. The subgraph isomorphism problem, which involves identifying subgraphs that are isomorphic to a query graph, plays a crucial role in diverse domains. In this paper, we focus on the exact subgraph isomorphism problem in bipartite graphs and propose a novel index-based solution algorithm. Our algorithm leverages triplet structures for graph embedding and uses a multi-level hash map for efficient filtering. We also introduce an optimized solution building process. Experimental results on real-world datasets demonstrate the performance superiority of our algorithm compared to state-of-the-art algorithms, with 2 to 500 times shorter querying times. Our findings suggest that our algorithm is a powerful and efficient solution for exact subgraph isomorphism in bipartite graphs.

Application of Inelastic Nonlinear Buckling Analysis with Stiffness Reduction Factors to Web Tapered I Sections

2024-01-18T04:57:44+00:00

This paper explores the application of Inelastic Nonlinear Buckling Analysis (INBA) with Stiffness Reduction Factors (SRFs) in the analysis of web-tapered I sections, a structural configuration known for its non-uniform geometry. Leveraging the advanced capabilities of the SABRE2-V2 software, the study investigates the direct load capacity of members and frames, focusing on the implications for structural efficiency and steel material utilization. The inclusion of fixed brace conditions at the midpoint of the beam member, with non-uniform bending, expands the applicability of INBA to complex configurations. The research validates the analytical methods through comparison with Finite Element Analysis (FEA) with four cases that includes different taper angle, achieving an average 98.6% consistency. The study unveils a characteristic S-shaped buckling pattern influenced by strategically placed braces, providing valuable insights into stability and performance optimization. Furthermore, INBA coupled with SRFs elucidates yielding patterns within the member, contributing to a comprehensive understanding of load-carrying behavior and potential failure mechanisms. The findings support the broader adoption of INBA for web-tapered I sections, offering engineers reliable tools for enhanced structural analysis and design. The paper concludes with implications for future research, suggesting exploration of varied taper angles, loading conditions, and material properties.

Innovative Approaches to Modeling Economic Dynamics: Taylor Matrix Methods in Solving Budget Constraint Differential Equations

2024-01-31T07:49:40+00:00

In recent times, the consensus has emerged that a profound understanding of mathematics is essential to excel as an economist, leading to a rapid increase in the number of articles incorporating mathematical methodologies within the field of economics. This study explores the dynamic aspects of economic modeling by focusing on the budget constraint equation of a group, treating it as a partial differential equation. The budget constraint problem is a common economic challenge where individuals or entities face limitations on consumption choices due to financial constraints. We introduce an alternative method for solving this equation, employing a matrix-based approach grounded in collocation points and Taylor polynomials. This technique streamlines the resolution process, transforming the solution of the group's budget constraint differential equation into a system of matrix equations featuring unknown Taylor coefficients. The paper contributes to the ongoing discourse on mathematical models in economics by presenting an innovative methodology that enhances economists' analytical toolkit for understanding and navigating the intricate dynamics of economic systems. The proposed method is then applied to the budget constraint equation of the group, providing a systematic and efficient approach to obtain numerical solutions. The study includes a numerical example to illustrate the application of the technique, demonstrating its efficiency, precision, and ability to yield highly accurate approximations for the budget constraint equation. The results highlight the versatility and effectiveness of the Taylor matrix-collocation techniques in solving economic problems.

Morphological Analysis of Ksar Tadjrouna in Laghouat, Algeria

2023-06-13T14:19:43+00:00

This study focuses on the morphological analysis of Ksar Tadjrouna in Laghouat, Algeria, recognizing the significance of preserving and enhancing the heritage of the region. Emphasizing the broader definition of heritage by UNESCO, the research extends beyond monuments to encompass the cores and historic districts of cities, reflecting cultural, architectural, and historical values. The study explores the traditional architectural form known as "ksar," prevalent in North African fortified villages. In the case of Ksar Tadjrouna, the morphological analysis reveals key characteristics, such as hierarchical plot systems, orthogonal street encounters, planar built structures with central courtyards, and a clear division between public and private spaces. The study identifies pathologies in the Ksar, including the use of heterogeneous materials and degradation issues, leading to a proposed intervention strategy. The proposed plan aims to protect Ksar Tadjrouna by addressing its morphological aspects and enhancing its tourist potential, catering to both national and international tourists through cultural tourism initiatives. The research concludes by emphasizing the importance of morphological analysis for understanding urban fabric changes over time and designing place-centered interventions that contribute to heritage conservation and community continuity. The ultimate goal is to secure the classification of Ksar Tadjrouna as a safeguarded sector, ensuring its preservation as a testament to a rich and distinctive civilization.