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Boundary Layer Flow of a Nanofluid Through a Permeable Medium Due to Porous Plate
Zahida Khan,
Abdul Rehman,
Naveed Sheikh,
Saleem Iqbal,
Ejaz Sha
Issue:
Volume 5, Issue 4, December 2020
Pages:
97-101
Received:
14 September 2020
Accepted:
13 October 2020
Published:
23 October 2020
Abstract: In the present article, an attempted have been made to study the behavior of boundary layer viscous fluid flow and heat transfer containing some nanosized solid particles flowing through a permeable porous medium. The problem was first modeled into a coupled system of nonlinear partial differential equations of conservation of mass, momentum and nanoparticle concentration. The system of coupled nonlinear boundary layer partial differential equations governing the flowing fluid momentum and heat transfer characteristics are reduced to a new simplified coupled nonlinear system of ordinary differential equations by means of a suitable similarity transformation. The transformed set of nonlinear coupled ordinary differential equations is than solved numerically by means of the fourth order numerical scheme the Runge-Kutta shooting method. The effects of important involved parameters that control the flow field and heat transfer characteristics, that is the viscosity parameter, the convection parameter, the Porosity parameter, the Prandtl number and the Lewis number have been obtained and discussed. Numerical solutions for velocity and temperature are sketched and graphically analyzed. The graphical results observed are indicating that by increasing the values of the non-dimensional viscosity parameter, the dimension less fluid flow profile increases, while for increasing values of the nanoparticles Brownian motion parameter, the nanoparticle concentration profile increases.
Abstract: In the present article, an attempted have been made to study the behavior of boundary layer viscous fluid flow and heat transfer containing some nanosized solid particles flowing through a permeable porous medium. The problem was first modeled into a coupled system of nonlinear partial differential equations of conservation of mass, momentum and na...
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On the Stability Analysis of Rational Integrator Method for the Solution of Initial Value Problems in Ordinary Differential Equation
Agbeboh Goddy Ujagbe,
Ehiemua Michael Ebhodaghe,
Loko Perelah
Issue:
Volume 5, Issue 4, December 2020
Pages:
102-108
Received:
27 September 2020
Accepted:
15 October 2020
Published:
23 October 2020
Abstract: In all numerical methods, it is necessary to ascertain the validity of any particular scheme. And this is possible to determine, by verifying the nature of the stability of that scheme. So the general stability function definition is given, from where an investigation is carried out on a class of rational integrator of order 15, to establish the region of absolute stability of the scheme, by constructing the Jordan curve. In the process of expanding the rational function, binomial theorem as well as the idea of combination process were introduced to ease the computation by using Maple-18 package. The simplification of the general rational integrator formula, is constructed from two processes namely through complex function, and then through polar analysis, The Jordan curve is constructed with the help of MATLAB package. Furthermore, it was discovered that the region of instability is on the positive side of the complex plane, while the region of absolute stability is outside the Jordan curve. Finally, it is further established that the encroachment point, τ, lie within the interval ± 140.6. And the encroachment point is visible from the corresponding values of ø and R at the extremes. The stability curve revealed that the integrator is not only A-stable, but also L- stable.
Abstract: In all numerical methods, it is necessary to ascertain the validity of any particular scheme. And this is possible to determine, by verifying the nature of the stability of that scheme. So the general stability function definition is given, from where an investigation is carried out on a class of rational integrator of order 15, to establish the re...
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Modelling and Simulation of Nigerian Airspace Management Agency Billing System Using Python Simulation Packages
Olusanya Olamide Omolara,
Amaikwu Chinedu Reginald,
Oyediran Mayowa Oyedepo,
Elegbede Adedayo Wasiat,
Olusesi Ayobami Taiwo
Issue:
Volume 5, Issue 4, December 2020
Pages:
109-115
Received:
29 September 2020
Accepted:
21 October 2020
Published:
16 November 2020
Abstract: Revenue generation has a positive and significant effect on the growth of any business. The existing work process in Nigerian Airspace Management Agency (NAMA) billing system creates the loophole for revenue deficit. The need to enhance the billing system of this organization prompted the need for this study. Primary data were collected from NAMA station at Muritala International Airport and its corporate headquarters. The data include the process and time of attending to airlines or their agents (which includes arrival time, service time, departure time, Waiting time etc.), Six months financial statement of NAMA MMIA, Debt profile details for debtors and number of airlines attended to per day. These data formed the input for developing the SimPy model to bring together process based discrete events. Validation was done by comparing the simulated results with the real results using statistical t-test at p less than 0.05 (p<0.05). 15 airlines were considered for 5 months (assuming 30 days per month), making an average of 6 landings per day per route which represents 3 flights within a route per day. The rate is ₦7,000 per one-hour flight per route. The simulation results reveal that with the proposed model ₦23,948,044 was generated as against ₦12,486,680 of the existing system. This represents 191.788% improvement. This result is for Murhitala Muhammed International Airport (local wing) only. The python simulation package (SimPy) used, introduced approval levels for the various department, thereby ensuring no departments’ function was undermined. This model is useful for Airspace management, in that it reduces deficit without any negative impact on the safety and service delivery of airlines.
Abstract: Revenue generation has a positive and significant effect on the growth of any business. The existing work process in Nigerian Airspace Management Agency (NAMA) billing system creates the loophole for revenue deficit. The need to enhance the billing system of this organization prompted the need for this study. Primary data were collected from NAMA s...
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A Numerical Study of Response Surface Based Shape Optimization Using Neural Networks
Lawrence Munashe Mavima,
Tanaka Mukoko,
Kudzanai Shinda Zhou
Issue:
Volume 5, Issue 4, December 2020
Pages:
116-126
Received:
6 October 2020
Accepted:
24 October 2020
Published:
30 November 2020
Abstract: Industrial pipes that are used for fluid transport generally have to undergo many changes of shape to accommodate interfacing equipment related to plant operation, which results in flow maldistribution zones and higher pressure drops, and in turn leads to higher power consumption. In an attempt to redress this problem, ANSYS, a commercial Computational Fluid Dynamics (CFD) software, is used to perform numerical simulations based on a deterministic computational model of the internal fluid flow using the Reynolds Averaged Navier Stokes equations (RANS), a multi objective optimization study employing Response surface methodology and artificial neural networks. This numerical analysis has been performed on a galvanized steel duct for water recirculation. The focus of the paper is the study of the effect of a chosen set of several geometrical dimensions on the pressure drop and flow distribution inside the duct. Subsequently, a new set of designs with different geometrical parameters has been obtained to minimize the pressure drop and achieve a more uniform flow distribution by using artificial neural networks to generate a response surface and further employing Screening (Shifted-Hammersley sampling) as the optimization method that was used to select the best designs from amongst those that have been generated from the response surface.
Abstract: Industrial pipes that are used for fluid transport generally have to undergo many changes of shape to accommodate interfacing equipment related to plant operation, which results in flow maldistribution zones and higher pressure drops, and in turn leads to higher power consumption. In an attempt to redress this problem, ANSYS, a commercial Computati...
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Application of Laplace Variation Iteration Method to Solving the Nonlinear Gas Dynamics Equation
Joseph Bonazebi Yindoula,
Stevy Mikamona Mayembo,
Gabriel Bissanga
Issue:
Volume 5, Issue 4, December 2020
Pages:
127-133
Received:
11 September 2020
Accepted:
19 October 2020
Published:
16 December 2020
Abstract: In this work, we use a new analytical technique called Laplace variational iteration method to construct the exact solution of the nonlinear equation of gas dynamics. This method is based on the determination of the Lagrange multiplier in an optimal way. Application of the method to three test modeling problems from mathematical physics leads to a sequence which tends towards the exact solution of the problem. The solution procedure shows the reliability of the method and is high accuracy evident.
Abstract: In this work, we use a new analytical technique called Laplace variational iteration method to construct the exact solution of the nonlinear equation of gas dynamics. This method is based on the determination of the Lagrange multiplier in an optimal way. Application of the method to three test modeling problems from mathematical physics leads to a ...
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