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QUADRATURE BASED FINITE ELEMENT METHODS FOR LINEAR PARABOLIC INTERFACE PROBLEMS
Deka, Bhupen,Deka, Ram Charan Korean Mathematical Society 2014 대한수학회보 Vol.51 No.3
We study the effect of numerical quadrature in space on semidiscrete and fully discrete piecewise linear finite element methods for parabolic interface problems. Optimal $L^2(L^2)$ and $L^2(H^1)$ error estimates are shown to hold for semidiscrete problem under suitable regularity of the true solution in whole domain. Further, fully discrete scheme based on backward Euler method has also analyzed and optimal $L^2(L^2)$ norm error estimate is established. The error estimates are obtained for fitted finite element discretization based on straight interface triangles.
Quadrature based finite element methods for linear parabolic interface problems
Bhupen Deka,Ram Charan Deka 대한수학회 2014 대한수학회보 Vol.51 No.3
We study the effect of numerical quadrature in space on semidiscrete and fully discrete piecewise linear finite element methods for parabolic interface problems. Optimal L2(L2) and L2(H1) error esti- mates are shown to hold for semidiscrete problem under suitable regular- ity of the true solution in whole domain. Further, fully discrete scheme based on backward Euler method has also analyzed and optimal L2(L2) norm error estimate is established. The error estimates are obtained for fitted finite element discretization based on straight interface triangles.
Deka Himangshu,Choudhury Ananta,Dey Biplab Kumar 대한약침학회 2022 Journal of pharmacopuncture Vol.25 No.3
Objectives: In recent decades, the trend for treating diabetes mellitus (DM) has shifted toward alternative medicines that are obtained from plant sources. Existing literature suggests that phenolic compounds derived from plants possess promising health-promoting properties. This study aimed to discuss the role of plant-derived phenolic compounds in the effective treatment and management of diabetes. Methods: Information about plant secondary metabolites, phenolic compounds, and their role in the treatment and management of diabetes was collected from different databases, such as Pubmed, ScienceDirect, Scopus, and Google Scholar. Keywords like secondary metabolites, phenolic compounds, simple phenol, flavonoids, lignans, stilbenes, and diabetes were searched. Research and review articles with relevant information were included in the study. Results: Anti-diabetic studies of the four major classes of phenolic compounds were included in this review. The plant-derived phenolic compounds were reported to have potent anti-diabetic activities. However, each class of phenolic compounds was found to behave differently according to various mechanisms. Conclusion: The obtained results suggest that phenolic compounds derived from natural sources display promising anti-diabetic activities. Based on the available information, it can be concluded that phenolic compounds obtained from various natural sources play key roles in the treatment and management of diabetes.
Deka, Manabendra,Gargi, Gargi,Kumar, Rajendra,Yadav, Harendra,Sahay, Alok Korean Society of Sericultural Science 2015 International Journal of Industrial Entomology Vol.30 No.2
An experimental rearing of tropical tasar silkworm, Antheraea mylitta Drury was conducted to study silkworm-food plant-interaction and thereby to search for an alternate silkworm food plant. The silkworm-food-plant-interaction was studied with six different food plant species viz. Terminalia tomentosa, Terminalia arjuna, Terminalia belerica, Terminalia chebula of Combretaceae family and Lagerstroemia speciosa, Lagerstroemia parviflora of Lythraceae family. The rearing performance of silkworm on Lagerstroemia speciosa in terms of cocoons per DFL and silk ratio was found comparable with Terminalia tomentosa and Termonalia arjuna, the primary tasar silkworm food plant species. These three plant species also possessed better results in terms of physiological (leaf moisture content and net photosynthesis rate) and biochemical (Chlorophyll, protein, carbohydrate and crude fibre contents) characteristics to support silkworm rearing than Terminalia belerica, Terminalia chebula and Lagerstroemia parviflora. The correlation study between silkworm rearing performance and food plant's constituents indicates commercial perspective of Lagerstroemia speciosa as an alternate food plant for tasar silkworm rearing.
Deka, Bhaskar Jyoti,Jeong, Sanghyun,Alizadeh Tabatabai, S. Assiyeh,An, Alicia Kyoungjin Pergamon Press 2018 Chemosphere Vol.206 No.-
<P><B>Abstract</B></P> <P>This study demonstrates the application of <I>in situ</I> ferrate (Fe(VI)) for the efficient removal of dissolved algal organic matter (AOM) from seawater. Sodium hypochlorite (NaOCl) and ferric (Fe(III)) were used to produce <I>in situ</I> Fe(VI) by wet chemical oxidation. First, the removal efficiencies of two model AOM compounds, humic acid (HA) and sodium alginate (SA), were evaluated in the presence of sodium chloride with an initial influent dissolved organic carbon (DOC) concentration of 5.0 mg C L<SUP>−1</SUP> at different pH levels to establish the optimal doses for <I>in situ</I> Fe(VI) generation. The concentration of Fe(VI) was determined by the 2,2-Azino-bis (3-ethylbenzothiazoline-6-sulfonic acid) ultraviolet–visible spectrophotometry method. In the case of HA, 72% DOC removal was recorded when applied with 1.5 mg L<SUP>−1</SUP> of Fe(III) and 1.5 mg L<SUP>−1</SUP> of NaOCl (<I>in situ</I> Fe(VI) concentration of 1.46 mg L<SUP>−1</SUP>) while 42% DOC removal was observed for SA. Subsequently, the removal of AOM extracted from two bloom-forming algal species, <I>Chaetoceros affinis</I> (<I>CA</I>) and <I>Hymenomonas</I> (<I>Hym</I>), cultivated in seawater from the Red Sea, were tested with <I>in situ</I> generated Fe(VI) at the established optimum condition. <I>In situ</I> Fe(VI) recorded superior performance in removing AOM extracted from <I>CA</I> and <I>Hym</I>, showing 83% and 92% DOC removal when the influent DOC concentrations were 2.48 and 2.63 mg L<SUP>−1</SUP>, respectively. A detailed AOM characterization was conducted using liquid chromatography–organic carbon detection.</P> <P><B>Highlights</B></P> <P> <UL> <LI> In situ ferrate was generated by combined dosages of sodium hypochlorite and ferric. </LI> <LI> Ferrate concentration was determined using indirect ABTS UV–Vis method. </LI> <LI> Algal Organic Matter removal by <I>in situ</I> ferrate was superior to that by ferric. </LI> <LI> <I>In situ</I> generated ferrate showed high affinity for oxidizing humic substances. </LI> <LI> <I>In situ</I> generated ferrate removed biopolymers by forming aggregates. </LI> </UL> </P> <P><B>Graphical abstract</B></P> <P>[DISPLAY OMISSION]</P>
Transient free convection flow past an infinite vertical cylinder with thermal stratification
Deka Rudra Kanta 대한기계학회 2012 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.26 No.8
This paper presents an analytical solution of one-dimensional free convection flow past an infinite vertical circular cylinder in a stratified fluid medium. The dimensionless unsteady coupled linear governing equations are solved by Laplace transform technique for the case when the Prandtl number is unity. Due to the effect of thermal stratification, the velocity, temperature, skin-friction and Nusselt number shows oscillatory behavior at smaller times and then reaches steady state at larger times, while this behavior is not seen in the absence of stratification.