Papers by Uday Shankar Chakraborty
Journal of Mathematical Analysis and Applications, 2020
This is a PDF file of an article that has undergone enhancements after acceptance, such as the ad... more This is a PDF file of an article that has undergone enhancements after acceptance, such as the addition of a cover page and metadata, and formatting for readability, but it is not yet the definitive version of record. This version will undergo additional copyediting, typesetting and review before it is published in its final form, but we are providing this version to give early visibility of the article. Please note that, during the production process, errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.
Theoretical Study of Steady Flow through a Catheterized Tapered Artery with Stenosis
Indian Journal of Pure and Applied Mathematics, 2021
In this paper we investigate the property (HLUR), a generalisation of (LUR) property of a Banach ... more In this paper we investigate the property (HLUR), a generalisation of (LUR) property of a Banach space. A Banach space having the property (HLUR) is called an HLUR space. We characterise (HLUR) property with the help of known geometric properties and study various properties of HLUR spaces. We show that for any finite dimensional Banach space, the property (HLUR) coincides with anti-Daugavet property of the space. We also show some applications of HLUR spaces in connection with farthest points of sets.
Journal of Biorheology, 2014
The present study is concerned with the flow of blood in an artery with an overlapping mild steno... more The present study is concerned with the flow of blood in an artery with an overlapping mild stenosis. To account for the slip at stenotic wall, hematocrit, pulsatility of flow and inclination of the tube, blood has been represented by a fluid whose viscosity varies with radial coordinate and hematocrit. The expression for the flow characteristics, namely, the wall shear stress, the shear stress at the critical height of the stenosis, the pressure drop and the resistance to flow (impedance) have been derived and represented graphically with respect to different flow parameters. The resistance to flow increases with the hematocrit and critical height of the stenosis but decreases with slip at wall. With respect to any parameter, the shear stress at the critical height possesses the characteristics similar to that of the impedance.
Suspension model blood flow through an inclined tube with an axially non-symmetrical stenosis
Korea-Australia Rheology Journal, 2011
... Uday Shankar Chakraborty*, Devajyoti Biswas and Moumita Paul Department of Mathematics, Assam... more ... Uday Shankar Chakraborty*, Devajyoti Biswas and Moumita Paul Department of Mathematics, Assam University, Silchar-788011, India (Received September 11, 2010; final revision received December 11, 2010; accepted January 10, 2011) Abstract ...
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Pulsatile flow of blood through an artery in presence of a mild stenosis has been investigated in... more Pulsatile flow of blood through an artery in presence of a mild stenosis has been investigated in this paper assuming the body fluid blood as a two-fluid model with the suspension of all the erythrocytes in the core region as Bingham Plastic and the peripheral region of plasma as a Newtonian fluid. This model has been used to study the influence of body acceleration, non-Newtonian nature of blood and a velocity slip at wall, in blood flow through stenosed arteries. By employing a perturbation analysis, analytic expressions for the velocity profile, Plug-core radius, flow rate, wall shear stress and effective viscosity, are derived. The variations of flow variables with different parameters are shown diagrammatically and discussed. It is noticed that velocity and flow rate increase but effective viscosity decreases, due to a wall slip. Flow rates and speed are enhanced further due to the influence of body acceleration.
Journal of Application and Applied …, 2009
Pulsatile flow of blood through a uniform artery in the presence of a mild stenosis has been inve... more Pulsatile flow of blood through a uniform artery in the presence of a mild stenosis has been investigated in this paper. Blood has been represented by a Newtonian fluid. This model has been used to study the influence of body acceleration and a velocity slip at wall, in blood flow through stenosed arteries. By employing a perturbation analysis, analytic expressions for the velocity profile, flow rate, wall shear stress and effective viscosity, are derived. The variations of flow variables with different parameters are shown diagrammatically and discussed. It is noticed that velocity and flow rate increase but effective viscosity decreases, due to a wall slip. Flow rate and speed enhance further due to the influence of body acceleration. Biological implications of this modeling are briefly discussed.
Journal of Mathematics, 2014
The concept of nil-symmetric rings has been introduced as a generalization of symmetric rings and... more The concept of nil-symmetric rings has been introduced as a generalization of symmetric rings and a particular case of nil-semicommutative rings. A ringRis called right (left) nil-symmetric if, fora,b,c∈R, wherea,bare nilpotent elements,abc=0 (cab=0)impliesacb=0. A ring is called nil-symmetric if it is both right and left nil-symmetric. It has been shown that the polynomial ring over a nil-symmetric ring may not be a right or a left nil-symmetric ring. Further, it is also proved that ifRis right (left) nil-symmetric, then the polynomial ringR[x]is a nil-Armendariz ring.
Proceedings - Mathematical Sciences, 2020
A ring R is called reversible if for a, b ∈ R, ab = 0 implies ba = 0. These rings play an importa... more A ring R is called reversible if for a, b ∈ R, ab = 0 implies ba = 0. These rings play an important role in the study of noncommutative ring theory. Kafkas et al. (Algebra Discrete Math. 12 (2011) 72-84) generalized the notion of reversible rings to central reversible rings. In this paper, we extend the notion of central reversibility of rings to ring endomorphisms. We investigate various properties of these rings and answer relevant questions that arise naturally in the process of development of these rings, and as a consequence many new results related to central reversible rings are also obtained as corollaries to our results.
Reflexive property on rings with involution
Asian-European Journal of Mathematics, 2018
Mason introduced the notion of reflexive property for rings which play roles in noncommutative ri... more Mason introduced the notion of reflexive property for rings which play roles in noncommutative ring theory. In this paper, we extend this property to rings with involution and investigate their properties. We provide many examples of these rings and also consider some extensions such as trivial extension, Dorroh extension, etc.
International Electronic Journal of Algebra, 2017
The concept of strongly central reversible rings has been introduced in this paper. It has been s... more The concept of strongly central reversible rings has been introduced in this paper. It has been shown that the class of strongly central reversible rings properly contains the class of strongly reversible rings and is properly contained in the class of central reversible rings. Various properties of the above-mentioned rings have been investigated. The concept of strongly central semicommutative rings has also been introduced and its relationships with other rings have been studied. Finally an open question raised in [D.
The aim of this paper is to introduce and characterize a new class of functions called slightly δ... more The aim of this paper is to introduce and characterize a new class of functions called slightly δ − β-continuous functions in topological spaces by using δ − β-open sets. AMS Subject Classification: 54C10
The aim of this paper is to introduce a new set of properties of slightly b-continuous functions.... more The aim of this paper is to introduce a new set of properties of slightly b-continuous functions. Also the relations of slightly b-continuous functions with other weak forms of b-continuous functions have been investigated.
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Papers by Uday Shankar Chakraborty