Thermophoresis and Viscous Dissipation Effect of Free Convective Boundary Layer Flow over a Porous Medium: Spectral Homotopy Analysis
Chika Uchechukwu Boneze,
Adeolu John Omowaye,
Adeyemi Isaiah Fagbade,
Ayodele Adedeji Ashefon
Issue:
Volume 8, Issue 2, June 2022
Pages:
30-42
Received:
10 March 2022
Accepted:
11 July 2022
Published:
17 August 2022
DOI:
10.11648/j.ijamtp.20220802.11
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Abstract: In this study, an investigation is made into the effects of thermophoresis and viscous dissipation on chemically steady hydromagnetic free convective boundary layer flow in a porous media. A mathematical model was designed to govern the flow used in the study of the effects of chemical reaction, magnetic field, viscous dissipation, and thermophoresis on free convective boundary layer flow of an incompressible, electrically conducting fluid past a heated vertical permeable flat plate embedded in a uniform porous medium. This flow is observed as it moves past the plate, which is embedded in a uniform porous medium. The governing equations and their related boundary conditions have been converted into dimensionless equations by using the similarity transformations. These dimensionless equations are a boundary valued problem of coupled ordinary differential equations, and they have been solved by employing the Spectral Homotopy Analysis Method, which is a numerical approach of the traditional Homotopy Approximate Method (HAM). The Chebyshev-Gauss-Lobatto points are used to discretize the spatial domains, and numerical computation is used to determine the non-dimensional properties of the physical parameters. The SHAM solution series converges to the numerical solution with an accuracy of up to six decimal places, as demonstrated by our simulations. A parametric investigation of some of the parameters that are available is carried out, and the results for velocity, temperature, and concentration are graphically displayed, in addition to the discussion of the physical components of the issue. When the computational results from SHAM and those from the literature are compared to one another, they show a good degree of agreement with one another. It has been determined that the flow parameters have a significant impact on the flow profiles, and this connection has been investigated in depth. Findings that are really significant.
Abstract: In this study, an investigation is made into the effects of thermophoresis and viscous dissipation on chemically steady hydromagnetic free convective boundary layer flow in a porous media. A mathematical model was designed to govern the flow used in the study of the effects of chemical reaction, magnetic field, viscous dissipation, and thermophores...
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An Improved Ant Colony Algorithm to Solve Prohibited Transportation Problems
Ekanayake Mudiyanselage Uthpala Senarath Bandara Ekanayake
Issue:
Volume 8, Issue 2, June 2022
Pages:
43-51
Received:
25 July 2022
Accepted:
9 August 2022
Published:
27 September 2022
DOI:
10.11648/j.ijamtp.20220802.12
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Abstract: Physical distribution (transportation) of goods and services from multiple supply centers to multiple demand centers is an important application of linear programming (LP). A transportation problem (TP) can also be solved using the simplex method when expressed as an LP model. However, because a TP has a large number of variables and constraints, solving it using simplex methods takes a long time. Many scientists have devised and continue to devise novel solutions to the classic TP. The prohibited route transportation problem, on the other hand, is a subset of TPs for which most scientists have yet to develop a specific TP. Certain routes may be impassable in some cases due to transportation issues. To name a few: construction projects, poor road conditions, strikes, unexpected disasters, and local traffic laws. Such limits (or prohibitions) in the TP can be managed by assigning a very high cost to the prohibited routes, ensuring that they do not appear in the optimal solution. This paper presents a heuristic algorithm and an improved ant colony optimization algorithm for achieving an initial feasible solution (IFS) to a prohibitive transportation problem (PTP). Using the PTP in the proposed method, on the other hand, produces the best IFS for a prohibited transportation problem and outperforms existing methods with less computation time and complexity. As a result, the proposed methods are an appealing alternative to traditional problem-solving approaches. In some numerical examples, the feasible solution of the proposed method is the same as the optimal solution.
Abstract: Physical distribution (transportation) of goods and services from multiple supply centers to multiple demand centers is an important application of linear programming (LP). A transportation problem (TP) can also be solved using the simplex method when expressed as an LP model. However, because a TP has a large number of variables and constraints, s...
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