Determination of the dynamic shearing force and bending moment of a tensioned single-walled carbon nanotube subjected to a uniformly distributed external pressure

EASL-Vol. 2 (2019), Issue 3, pp. 40 – 52 Open Access Full-Text PDF
A. A. Yinusa, M. G. Sobamowo, A. O. Adelaja
Abstract: The high strength-to-weight ratio and flexibility of single walled carbon nanotubes (SWCNT) make them of potential use in the control of nanoscale structures for thermal, electrical, structural and mechanical applications. This indicates that they will have a vital contribution to nanotechnology engineering. This paper presents an exact solution to the dynamic response of such CNTs considering the shear force and bending moment under uniformly distributed external pressure. The dynamic behaviour of the SWCNT is modeled by employing the theories of Euler-Bernoulli beam and thermal elasticity mechanics. The developed model that governs the physics of the behaviour of the SWCNT when excited by the aforementioned external agents is solved using Integral transforms. The results of the close form solution in this work were compared with results of past works and excellent agreements were achieved. Furthermore, the dynamic study revealed that a point of maximum shear force on the CNT produced the minimum bending moment at any mode and for any parameter value considered. It is envisaged that this work will enhance the application of SWCNT for structural, electrical and mechanical uses.
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Numerical solution of boundary layer flow of MHD nanofluid over a stretching surface with chemical reaction and viscous dissipation effects

OMS-Vol. 3 (2019), Issue 1, pp. 289 – 299 Open Access Full-Text PDF
Santoshi Misra, G. Narender, K. Govardha
Abstract: A numerical study has been carried out in the analysis of two dimensional, incompressible and steady convective flow over a stretching surface in the presence of chemical reaction along with viscous dissipation. A mathematical model which resembles the physical flow problem has been developed. Similarity transformations are used to convert the fundamental partial differential equations into a system of nonlinear ordinary differential equations. The resulting system of nonlinear ordinary differential equations are then solved by using the shooting method along with Adams-Moultan method. The numerical solution obtained for the velocity, temperature and concentration profiles has been presented through graphs for different choice of the physical parameters.
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How to create satisfying high-resolution microscope stitched pictures with limited resources? A simple method applied to cross-sections of teeth

EASL-Vol. 2 (2019), Issue 3, pp. 30 – 39 Open Access Full-Text PDF
Maxime Bedez, Thomas Fasquelle, Cécile Olejnik
Abstract: By associating last progresses in photography, computer science and additive manufacturing, cost-effective planar stitching of non-structured photographs of microscope slides into high definition large pictures is achievable. The proposed method, inspired by previous works and state-of-the art equipment, uses non-professional camera, little pre-processing, no post processing, and little to no investment is needed. A total duration of 41 min was observed to create a high-quality, high-resolution full picture of a sagittal cross-section of a permanent maxillary central incisor, from 16 original photographs with a \(\times\)40 microscope optical magnification. Final pictures weights are in-between 60 Mo and 340 Mo, depending on the format and the number of initial photographs. Higher magnification does not seem to enhance pictures, but sensibly increases file weight. This method has numerous applications, such as research, sharing and teaching and will certainly be enhanced in the future thanks to the high speed development of smartphone abilities.
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A mathematical model for fish management in the Sundarbans ecosystem

OMA-Vol. 3 (2019), Issue 2, pp. 42 – 49 Open Access Full-Text PDF
Md. Nazmul Hasan, Md. Haider Ali Biswas, Md. Sharif Uddin
Abstract: With the establishment of 200-mile territorial zone in the Bay of Bengal for most countries having coastlines. The control of fishing in these zones has become highly regulated by these countries concerned. In this sense, fishing in territorial waters can be considered a sole owner fishery problem. If the people of a country are allowed to fish freely in the territorial zones, it can be termed as an open access fishery. In an open access fishery, the exploitation of fishing opportunity is completely uncontrolled. This study deals with the problem of harvesting in the prey-predator fishery model in the open access zones and seeks a plan for prey for sustainable fishing, particularly in Sundarbans ecosystem which is situated in the coastal area of the Bay of Bengal. The positive steady state of both local and global stability has been established. Optimal harvesting strategy is also studied for these purposes.
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On certain subclasses of p-valent functions with negative coefficients defined by a generalized differential operator

OMA-Vol. 3 (2019), Issue 2, pp. 32 – 41 Open Access Full-Text PDF
Bitrus Sambo, Gideon Benjamin Meller
Abstract: In this article, we introduce new subclasses of normalized analytic functions in the unit disk \(U\), defined by a generalized Raducanu-Orhan differential Operator. Various results are driven including coefficient inequalities, growth and distortion theorem, closure property, \(\delta\)-neighborhoods, extreme points, radii of close-to-convexity, starlikeness and convexity for these subclasses.
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Exploration of the effects of fin geometry and material properties on thermal performance of convective-radiative moving fins

EASL-Vol. 2 (2019), Issue 3, pp. 14 – 29 Open Access Full-Text PDF
G. M. Sobamowo, O. M. Kamiyo, M. O. Salami, A. A. Yinusa
Abstract: The performance of fins, commonly used as heat enhancement devices are greatly affected by both the geometry and material properties. These consideration in fin design has stimulated an extensive research interest in the recent time. In this study, investigation on the thermal responses of moving irregular porous fins with trapezoidal, concave and convex profiles of copper, aluminium, silicon nitrides and stainless steel materials is examined. The developed thermal model is solved using differential transform method (DTM). On the verification of result obtained with numerical method using Runge-Kutta, a good agreement with the solution of approximate method is achieved. In the parametric studies carried out, the effect of physical parameters such as convective-conductive, convective-radiative term, internal heat generation, porosity, surface emissivity, power index of heat transfer coefficient, Peclet number and Darcy number on the thermal behaviour of fins are examined and discussed. The comparative analysis carried out on the effect of materials on non-dimensional temperature distribution reveals that copper obtains the highest temperature while the stainless steel gets the lowest. More-so, the fins with concave geometry gives the highest volume adjusted efficiency with increase in Peclet number while that with convex profile has the least. These result output are essential and would be useful in the future design of fins with optimum size reduction and high efficiency.
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A closer look at multiplication table of finite rings

OMS-Vol. 3 (2019), Issue 1, pp. 285 – 288 Open Access Full-Text PDF
Muhammad Tufail, Rabiha Qazi
Abstract: The article investigates the behaviour of the multiplication table of the ring \(\mathbb{Z}_n\). To count the number of 1s appear on the main diagonal of the multiplication table of \(\mathbb{Z}_n\), conclusively an explicit formula is induced for any \(n \geq 2\).
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Existence of positive periodic solutions of neutral nonlinear differential systems with variable delays

OMA-Vol. 3 (2019), Issue 2, pp. 19 – 31 Open Access Full-Text PDF
Hocine Gabsi, Abdelouaheb Ardjouni, Ahcene Djoudi
Abstract: By using some mixed techniques of the Mawhin coincidence degree theory and the Krasnoselskii fixed point theorem, we obtained the existence of positive periodic solutions of the neutral nonlinear differential system. Also, sufficient conditions for the existence of positive periodic solutions to the system with feedback control are given. Our results substantially extend and improve existing results.
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HBA analysis of generalized viscoelastic fluids

EASL-Vol. 2 (2019), Issue 3, pp. 7 – 13 Open Access Full-Text PDF
Emran Khoshrouye Ghiasi, Reza Saleh
Abstract: Generating homotopy-based approaches (HBAs) in thermal-fluid sciences is an efficient manner for finding absolutely convergent series expansions. The main objective of this paper is to analyze the viscoelastic Walter’s B fluid past a stretching wall. To answer this, the governing differential equation is derived by substituting similarity variables into the partial differential equations (PDEs) and associated boundary conditions. The present HBA is also developed by minimizing the averaged square residual error included in the quadratic resistance law (QRL). By comparing the present findings with those available in the literature, it is seen that the 9th-order HBA can provide an incredible degree of accuracy and reliability. Furthermore, it is found that the central processing unit (CPU) time is greatly reduced when the auxiliary parameter is selected as \(\hbar\)=-0.122.
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