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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 Manash Jyoti,Chowdhury Devasish,Nath Bhabesh Kumar 한국탄소학회 2022 Carbon Letters Vol.32 No.5
Food toxins are regarded as a major source of health risks, serious illnesses susceptible to even death. These dangerous pathogens may lead to significant economic impact worldwide. The food production chain undergoes different stages like harvesting, processing, storage, packaging, distribution, and lastly preparation, and consumption. Therefore, each step is susceptible to risks of environmental contamination. Nowadays, the carbon quantum dots (CDs) are regarded as one of the most widely used hybrid carbon nanomaterials due to their different magical physical and chemical properties. The CDs have a size below 10 nm and show the fluorescent property. The CDs find vast applications in different fields like sensing, food safety, drug delivery, bioimaging, catalyst, energy conversion, etc. Compared to other available methods, the fluorescence detection techniques have low cost, easy handling, and safe operating system. There is a need for a review to compile the fluorescence properties of carbon nanodots used to detect food pathogens. This brief review is addressed in that direction and mostly focused on the synthesis of carbon dots-based fluorescence sensors for detecting pathogens and toxins in foods and beverages. The detailed mechanisms and origin of fluorescence properties of carbon quantum dots are also highlighted herewith.
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.
Utilization of Fruit Processing Wastes in the Diet of Labeo rohita Fingerling
Deka, Abani,Sahu, N.P.,Jain, K.K. Asian Australasian Association of Animal Productio 2003 Animal Bioscience Vol.16 No.11
A feeding trial was conducted for 60 days to study the utilization of fruits processing wastes as feed ingredient in the diet of Labeo rohita fingerlings. One hundred and sixty fingerlings (av. body weight, $1.65g{\pm}0.03$) were equally distributed in four experimental groups having 4 replicates each. Four different experimental diets were prepared by replacing wheat flour and rice bran with either orange (T2) (Cirtus qurantium), pineapple (T3) (Ananas spp. and Pseudananas spp.) or sweet lime (T4) (Citrus sinensis) wastes to the basal diet along with the control (T1, without any fruit wastes) keeping the CP level at around 40%. The water quality parameters like DO, $CO_2$, pH, total alkalinity, total hardness, ammonia and water temperature were recorded within the optimum range. The diet containing 25% pineapple wastes (T3) showed significantly higher growth in terms of SGR (1.50), FCR (2.09) and PER (1.19) than the other groups. However, growth of T4 and T2 groups were not significantly different than the control group (T1). Protease activity (17.17 unit/mg protein), protein digestibility (91.57%) and carbohydrate digestibility (41.62%) were not significantly different among the different groups. Survival of the fingerlings were not significantly different among the experimental groups. It concludes that waste of orange, pineapple and sweet lime can be used at 25% level as a substitute of wheat flour and rice bran in the diet of Labeo rohita.
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.
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.