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Non linear differential polynomials sharing one value

100%

Banerjee A.

2007

tom Vol. 40, nr 1

65-75

We prove three uniqueness theorems concerning non linear dierential polynomials which will improve and supplement some earlier results given by Yang and Hua, Lahiri.

Non linear differential polynomials sharing fixed points with finite weights

63%

Banerjee A. , Sahoo P.

tom Vol. 46, nr 1

51--62

We employ the notion of weighted sharing to investigate the uniqueness of meromorphic functions when two nonlinear differential polynomials share fixed points. The results of the paper improve and generalize the recent results due to Xu–Lu–Yi [10].

On Uniqueness of Meromorphic Functions Sharing Three Sets with Finite Weights

63%

Banerjee A. , Ahamed M. B.

tom Vol. 62, no. 3

243--256

We prove the uniqueness of meromorphic functions sharing some three sets with finite weights.

A Study on the Wilkins and Forchheimer Equations used in Coarse Granular Media Flow

51%

Banerjee A. , Pasupuleti S. , Singh M. K. , Kumar G. N. P.

tom Vol. 66, no. 1

81--91

Complexity of the pore geometry and the random nature of flow velocity make it difficult to predict and represent post laminar flow through porous media. Present study experimentally investigates the applicability of Forchheimer and Wilkins equations for post laminar flow where Darcy’s law is invalid due to predominant inertial effect. It is observed that both porosity and media size have significant influence over the coefficients of the Forchheimer coefficients. To incorporate the effect of porosity and media size, behaviour of Forchheimer coefficients are investigated with hydraulic radius as characteristic length. An inversely proportional variation trend is found for all the present and earlier reported data. A new empirical relation between Forchheimer coefficients and hydraulic radius is obtained which can be universally applicable for all media size and porosity. Coefficients of the Wilkins equation are found to be non-deviating for different hydraulic radius in the present study and in the reported literature validating its applicability in predicting the non laminar flow through porous media. Further the Wilkins equation is modified after incorporating the correction factors for better applicability on the field.

An interference of High Frequency Series Resonant Inverter in domestic induction heater estimation in emission control using FEM

45%

Chakraborty A. , Royi D. , Sadhu P. K. , Ganguly A. , Banerjee A.

tom Vol. 97, nr 4

283--288

This work describes a new technology to calculate the magnetic field emission of a High Frequency Series Resonant Inverter in a domestic induction heater by means of computational simulations. The calculation is performed assuming normal operation conditions required to measure the magnetic field by means of a triple loop antenna. This triple loop antenna, also known as a van Veen & Bergervoet antenna, is generally employed to test compliance with emission regulations in the frequency range of band A and band B i.e. 5-55 kHz.

Development of a hybrid meta-model for material selection using design of experiments and EDAS method

45%

Chatterjee P. , Banerjee A. , Mondal S. , Boral S. , Chakraborty S.

tom Vol. 66, iss. 2

187--207

Selection of materials for a specific application is one of the extremely demanding problems in a synchronised manufacturing environment as it directly determines perceptible quality and cost of the product. Material selection is a complex process, intending to choose the best material while satisfying a pre-decided set of requirements. Material selection decision is made during preliminary product design stage. An improperly chosen material leads not only to an early component failure but also to a redundant cost involvement. There are numerous materials and various criteria influencing the material selection process for a particular application. Although a good amount of multi-criteria decision-making (MCDM) methods are available to deal with this type of selection applications, this paper aims to propose a hybrid method of design of experiments (DOE) and evaluation based on distance from average solution (EDAS) to solve material selection problems in current industrial applications. DOE and EDAS are used jointly to determine the critical material selection criteria and their interactions by fitting a polynomial to the experimental data in a multiple linear regression analysis. A gear material selection problem is demonstrated to establish the application competence of the DOE-EDAS method. Application results were validated with the results of the previous researchers and they indicate that the proposed DOE-EDAS hybrid model is straightforward, robust and practical in solving complex MCDM problems.