{"title":"Double Stratification in the Flow of a Newtonian Fluid Along an Inclined Permeable Stretching Surface","authors":"RamReddy Chetteti, Abhinava Srivastav","doi":"10.18280/ama_a.581-401","DOIUrl":"https://doi.org/10.18280/ama_a.581-401","url":null,"abstract":"Received: 10 April 2021 Accepted: 12 August 2021 The impact of suction/injection on the doubly stratified Newtonian fluid flow along an inclined stretching surface through a porous medium with heat and mass flux conditions is investigated. Also, linear Boussinesq approximation is considered in this work to relate the transport phenomena of temperature and concentration in various thermal and solutal systems operated at moderate temperatures. The system of governing non-linear equations is changed to its dimensionless form using suitable transformation variables. The dimensionless non-linear ordinary differential equation system is linearized by local linearization approach and then the obtained linear equation system is dealt with Chebyshev collocation method. The illustrating analyses for the impact of the various physical parameters involved in the present study are provided and salient features are also discussed. The comparative studies of dimensionless skin friction coefficient, Nusselt number and Sherwood number are given with various set of values of various important parameters.","PeriodicalId":401262,"journal":{"name":"Advances in Modelling and Analysis A","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123994973","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An Analytical Solution of Spatially Dependent One-Dimensional Advection-Dispersion Equation for a Varying Pulse Type Input Source","authors":"R. Yadav, J. Roy","doi":"10.18280/AMA_A.571-402","DOIUrl":"https://doi.org/10.18280/AMA_A.571-402","url":null,"abstract":"In present study, solution of advection-dispersion equation is obtained to determine concentration distribution of solute introduced from a varying pulse type point source in one-dimensional heterogeneous semi-infinite porous medium. Heterogeneity of the medium gives rise to space dependent groundwater velocity, dispersion coefficient and retardation factor. Groundwater velocity is some exponent ξ to a linear function of space. The dispersion and retardation factor are also exponents of same linear function with exponents (ξ+1) and (ξ-1), respectively, where ξ takes the value 0 or 1. At one end of the domain, a time dependent varying nature source, which involves step-size increasing function of time, acts along the flow up to a certain time the n eliminated while concentration gradient is considered zero at the other end of the domain. Initially, medium is uniformly polluted. Firstly, the advection-dispersion equation is reduced into constant coefficients by using certain transformations and then Laplace Integral Transformation Technique is utilized to get the solution. The obtained result is illustrated with numerical examples to study the effect of various parameters.","PeriodicalId":401262,"journal":{"name":"Advances in Modelling and Analysis A","volume":"71 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127585301","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An Evaluation of the Chemical Composition of Soft Drinks in Nigeria: A Principal Component Analysis Approach","authors":"Samuel Olorunfemi Adams, R. Akano, R. I. Rauf","doi":"10.18280/AMA_A.571-403","DOIUrl":"https://doi.org/10.18280/AMA_A.571-403","url":null,"abstract":"This study aims to determine the relationship between the chemical compositions of twenty-five (25) soft drinks sold in Nigeria. Sample concentration of twenty-five (25) soft drinks used in the study was collected from the National Agency for Food and Drug Administration and Control (NAFDAC). Principal Component Analysis (PCA) was employed to explain the relationship between the chemical compositions and determine the soft drinks' chemical composition distribution. The result has shown that all except acidity and antioxidant has a significantly strong positive relationship among the chemical structures. PCA suggested retaining three components that explained about 82.465 per cent of the data set's total variability. It was observed that carbonated water, fructose, sucrose, main concentration, stabiliser, E412, colouring and gelatin were the major compositions of the soft drinks in Nigeria, Base on the findings in this study, it is recommendations that; Consumers who are allergic to sugar or diabetic should avoid taking any of the soft drinks with high sugar concentration. Soft drinks companies producing drinks with high sugar content should consider their customers who are diabetic and allergic to high sugar levels.","PeriodicalId":401262,"journal":{"name":"Advances in Modelling and Analysis A","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116506717","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On Recognizability of Groups by Bottom Layer","authors":"V. Senashov, I. Parashchuk","doi":"10.18280/AMA_A.571-401","DOIUrl":"https://doi.org/10.18280/AMA_A.571-401","url":null,"abstract":"The bottom layer of a group is a set of its elements of prime order. A group is called recognizable by bottom layer under additional conditions if it is uniquely restored by bottom layer under these conditions. A group is called almost recognizable by bottom layer under additional conditions, if there are a finite number of pairwise non-isomorphic groups satisfying these conditions, with bottom layer that is the same as that of the group. A group is called unrecognizable by bottom layer under additional conditions if there are an infinite number of pairwise non-isomorphic groups satisfying these conditions, with bottom layer that is the same as that of the group. In the paper we consider examples of groups recognized by bottom layer, by spectrum and, simultaneously, by spectrum and by bottom layer. We have also proved some results of recognizability of groups by bottom layer.","PeriodicalId":401262,"journal":{"name":"Advances in Modelling and Analysis A","volume":"78 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132722877","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Numerical Calculation for Error Formula for Boole’s Rule","authors":"R. Fadhil","doi":"10.18280/ama_a.562-405","DOIUrl":"https://doi.org/10.18280/ama_a.562-405","url":null,"abstract":"The main aim of this paper is to calculate the value of integration which Singular Integrands or have Integrands with Singular derivatives at one end (or both ends) of the integration region by deriving errors formula (correction terms) using Composite Boole’s rule and Romberg integral to improve the results.","PeriodicalId":401262,"journal":{"name":"Advances in Modelling and Analysis A","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128849840","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Comparative Study of Nonlinear Observers Applied to the Colpitts Circuit","authors":"A. Errachdi, M. Benrejeb","doi":"10.18280/ama_a.560101","DOIUrl":"https://doi.org/10.18280/ama_a.560101","url":null,"abstract":"Received: 14 September 2018 Accepted: 6 January 2019 In this paper, nonlinear observer design for a chaotic system has been investigated. Indeed, a high gain observer and a sliding mode observer are proposed to the Colpitts circuit. The synthesis of these observers took place under certain sufficient conditions arising directly necessary and sufficient conditions established for nonlinear systems. Comparing with the results obtained by these observers, the high gain observer showed a good ability to reconstruct the states of the chaotic system and providing a small mean squared error compared to that of the sliding mode observer. keywords: chaos system, high gain observer, sliding mode observer, Colpitts circuit","PeriodicalId":401262,"journal":{"name":"Advances in Modelling and Analysis A","volume":"137 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127437699","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Galerkin Solutions for the Saint-Venant Torsion of Prismatic Bars with Rectangular Cross-sections","authors":"Charles Chinwuba Ike","doi":"10.18280/ama_a.560103","DOIUrl":"https://doi.org/10.18280/ama_a.560103","url":null,"abstract":"Received: 10 November 2018 Accepted: 16 February 2019 In this work, the Saint-Venant torsion problem of prismatic bars with rectangular crosssections was presented as a boundary value problem (BVP) of the theory of elasticity. The governing partial differential equation was formulated and shown to be a Poisson equation in terms of the Prandtl stress functions. The Poisson equation governing the Saint-Venant torsion problem was expressed in variational form using Galerkin variational method. The trial function that apriori satisfies the boundary conditions was chosen as a trigonometric cosine series of infinite terms; and in terms of unknown undetermined coefficients or parameters. The unknown parameters were determined by solving the Galerkin variational integral; thus fully determining the Prandtl stress function. The shear stresses were then determined. The maximum shear stress was also obtained. The moment of the cross-section was determined and found to depend on non – dimensional torsional parameters F1(a/b). The maximum shear stress was also found to depend on dimensionless torsional parameters F2(a/b) which were determined and tabulated. It was found that the solutions obtained using the Galerkin method were mathematically closed form solutions because the exact shape functions were used to approximate the trial solution. Expressions obtained for the Prandtl stress function, shear stresses and moment of cross-section were exact and agreed with solutions in the technical literature.","PeriodicalId":401262,"journal":{"name":"Advances in Modelling and Analysis A","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130598508","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"EPNN Based High Secure Intensive Hidden Digital Watermark Application in Telemedicine","authors":"R. Sailaja, C. Rupa, A. S. Chakravarthy","doi":"10.18280/ama_a.560104","DOIUrl":"https://doi.org/10.18280/ama_a.560104","url":null,"abstract":"This paper presents a novel and secure hybrid approach to securely transmit multimedia medical content over the web to help diagnosis from distance. This approach is a combination of a novel encryption algorithm and Extended Euclid’s based watermarking algorithm. This approach provides authentication, confidentiality, and integrity. The user’s authentication data is converted into ciphertext and then inserted into the watermark image, a 2-level LWT based decomposition of a host image is performed to retrieve (LL, LH, HL & HH) coefficients. The watermark and cover image one-level LL coefficients are divided into 16*16 blocks and watermark image blocks are embedded into a cover image using Extended Euclid’s algorithm. Then the watermarked image and cover image is given as input to PNN to obtain the optimized image matrix. The experimental results show better Peak Signal to Noise Ratio, Mean Square Error and Normalized Correlation with respect to existing methodology. Also, the watermarked image quality is analyzed with different image quality metrics.","PeriodicalId":401262,"journal":{"name":"Advances in Modelling and Analysis A","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115475300","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Finite Element Analysis of Natural Rubber, Glass-epoxy and Glass-rubber-epoxy Composites","authors":"S. Rajole, S. Hiremath","doi":"10.18280/ama_a.560102","DOIUrl":"https://doi.org/10.18280/ama_a.560102","url":null,"abstract":"Received: 25 October 2018 Accepted: 12 February 2019 The present article focuses on the study of ballistic performance of the polymer composite sandwich, consisting of natural rubber (NR), glass-epoxy composite (GEC) and glassrubber-epoxy composite (GREC) for different thicknesses (4, 7 and 10 mm). Finite Element (FE) analysis is carried out to predict the energy absorption, ballistic limit velocity, and failure damage modes of the target composite are explored under the impact of the conical nose projectile for different velocity (180, 220 and 260 m/s). The study revealed that significant influences on ballistic impact are thickness, interlayer, and sandwiching composite materials. The energy absorbance and ballistic limit of GEC laminate are increases with an increase in thickness. In the case of interlayer composite GREC ballistic limit is higher than NR and GEC with the change in impact velocity, whereas NR is marginally lower than the GREC laminate. Hence, NR or GRE laminated composites are dominating more in the analysis of impact application. These observations are extended for the experimental validation purpose. Also, these polymer composite materials could be served in the defense sector for bullet-proofing and high impact applications.","PeriodicalId":401262,"journal":{"name":"Advances in Modelling and Analysis A","volume":"93 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126209430","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}