School of Physical Sciences (SPS)

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School of Physical Sciences (SPS)

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Author: search.filters.author.JIMOH, OMANANYI RAZAQStart date: 2023

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    Effect of Viscous Energy Dissipation on Transient Laminar Free Convective Flow of a Dusty Viscous Fluid through a Porous Medium
    (Journal of Applied Sciences and Environmental Management (JASEM), 2023-08-23) JIMOH, OMANANYI RAZAQ; IBRAHIM, I
    A study on transient free convection flow of a dusty viscous fluid through a porous medium is important for improving the existing industrial processes and for developing new chemical and geothermal systems. This paper presents a mathematical model for transient laminar free convective flow of a dusty viscous fluid through a porous medium in the presence of viscous energy dissipation. The partial differential equations governing the phenomenon were non-dimensionalized using some dimensionless quantities. The dimensionless coupled non-linear partial differential equations were solved using harmonic solution technique. The result obtained were presented graphically and discussed. These results revealed that increase in Peclet number, Eckert number and Grashof number leads to increase in the velocity profile. Increase in the mass concentration of the dust particles, concentration resistance ratio, Eckert number and Peclet number leads to increase in the velocity profile of the dust particles. Increase in the Reynold number leads to a reduction in the velocity profile. Increase in Peclet number, Eckert number and Grashof number leads to increase in temperature profile. Similarly, increase in heat source parameter, coefficient of Grashof number and Reynold number lead to reduction in the temperature profile.
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    EFFECT OF HEAT AND MASS TRANSFER ON MAGNETO-HYDRODYNAMIC FLOW WITH CHEMICAL REACTION AND VISCOUS ENERGY DISSIPATION PAST AN INCLINED POROUS PLATE
    (Scientia Africana, 2023-08-22) JIMOH, OMANANYI RAZAQ; Abdullahi, D.
    In this paper, a mathematical model describing heat and mass transfer of magneto-hydrodynamic flow with chemical reaction and viscous energy dissipation past an inclined porous plate is presented. The governing partial differential equations which describe the phenomenon were nondimensionalized with the aid of some dimensionless quantities. The dimensionless coupled non-linear partial differential equations were solved using the harmonic solution technique. The results obtained were discussed graphically. Findings from the results obtained reveal that increase in Peclet number; Heat source parameter and Grashof number enhance the velocity profiles. Similarly, an increase in the Peclet energy number, Eckert number, Heat source parameter, angle of inclination, permeability parameter and Stuart number leads to an increase in the temperature profile.
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    AN OPTIMIZED SINGLE-STEP BLOCK HYBRID NYSTRÖM-TYPE METHOD FOR SOLVING SECOND ORDER INITIAL VALUE PROBLEMS OF BRATU-TYPE
    (African Journal of Mathematics and Statistics Studies, 2023-10-12) Ajinuhi J.O.; Mohammed U.; Enagi A.I.; JIMOH, OMANANYI RAZAQ
    In this paper, a global single-step implicit block hybrid Nyström-type method (BHNTM) for solving nonlinear second-order initial-boundary value problems of Bratu-type is developed. The mathematical derivation of the proposed BHNTM is based on the interpolation and multistep collocation techniques with power series polynomials as the trial function. Unlike previous approaches, BHNTM is applied without linearization or restrictive assumptions. The basic properties of the proposed method, such as zero stability, consistency and convergence are analysed. The numerical results from three test problems demonstrate its superiority over existing methods which emphasize the effectiveness and reliability in numerical simulations. Furthermore, as the step size decreases as seen in the test problems, the error drastically reduces, indicating BHNTM's precision. These findings underscore BHNTM's significance in numerical methods for solving differential equations, offering a more precise and dependable approach for addressing complex problems.
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    A Novel Seventh-Order Implicit Block Hybrid Nyström-Type Method for Second- Order Boundary Value Problems
    (INTERNATIONAL JOURNAL OF RESEARCH AND SCIENTIFIC INNOVATION (IJRSI), 2023-11-05) Joel Olusegun Ajinuhi; Umaru Mohammed; Abdullah Idris Enagi; JIMOH, OMANANYI RAZAQ
    This paper introduces a novel approach for solving second-order nonlinear differential equations, with a primary focus on the Bratu problem, which holds significant importance in diverse scientific areas. Existing methods for solving this problem have limitations, prompting the development of the Block Hybrid Nystrom-Type Method (BHNTM). BHNTM utilizes the Bhaskara points derived, using the Bhaskara cosine approximation formula. The method seeks a numerical solution in the form of a power series polynomial, efficiently determining coefficients. The paper discusses BHNTM's convergence, zero stability, and consistency properties, substantiated through numerical experiments, highlighting its accuracy as a solver for Bratu-type equations. This research contributes to the field of numerical analysis by offering an alternative, effective approach to tackle complex second-order nonlinear differential equations, addressing critical challenges in various scientific domains.