Neuro-Computing for Hall Current and MHD Effects on the Flow of Micro-Polar Nano-Fluid Between Two Parallel Rotating Plates

Ullah, Hakeem; Shoaib, Mohammed; Akbar, Ajed; Raja, Muhammad Asif Zahoor; Islam, Saeed; Nisar, Kottakkaran Sooppy

doi:10.1007/s13369-022-06925-z

Cited by 27 publications

(3 citation statements)

References 75 publications

(74 reference statements)

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“…Hence, we can extend the same technique to obtain the same benefits on other iterative methods using inverses of linear operators. The method discussed in this paper find applications in the problems listed in [16,17,18,19,20,21]. for x = (x1, x2, x3) T .…”

Section: Discussionmentioning

confidence: 99%

Extended Local Convergence for the Chebyshev Method under the Majorant Condition

Argyros

John²,

Jayaraman³

et al. 2022

ARJOM

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In this article, we present the study on local convergence behaviour of Chebyshev's method, which is a third order iterative method used to solve a non-linear system in Banach space locale. In contrast to the earlier works, we establish the convergence using restricted-majorant conditions. As a result, we get betterconvergence radius and more tighter error estimates in comparison to the previous researches. Suitable numerical examples complement the theory.

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Section: Discussionmentioning

confidence: 99%

Extended Local Convergence for the Chebyshev Method under the Majorant Condition

Argyros

John²,

Jayaraman³

et al. 2022

ARJOM

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“…Differential equations serve as a modeling tool for problems involving diverse independent variables 26 – 28 . This area of study holds significance in mathematics, addressing intriguing issues related to the modeling of various phenomena in physics, biology 29 – 31 , and engineering 32 , 33 . For instance, phenomena like unsteady squeezing flow of heat and mass transfer 34 and MHD Boundary Layer Flow over a Stretching Sheet 26 find representation through differential equations, as the rate of change is a fundamental expression for describing physical phenomena in scientific investigations 35 .…”

Section: Introductionmentioning

confidence: 99%

Critical analysis for nonlinear oscillations by least square HPM

Rafiq,

Kamran,

Ahmad

et al. 2024

Sci Rep

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In this study, a novel adapted homotopy perturbation method (HPM) is used to treat the nonlinear phenomena of free vibration in a system with one degree of freedom. This adaptation involves the integration of HPM with a least-squares optimizer, resulting in a hybrid method called the least square homotopy perturbation method (LSHPM). The LSHPM is tested on various nonlinear problems documented in the existing literature. To evaluate the effectiveness of the proposed approach, the identified problems are also tackled using HPM and the MATLAB built-in function bvp5c, and then the results are compared with those obtained using LSHPM. In addition, a comparative analysis is carried out with the results of the AG method as found in the literature. The results show that LSHPM is a reliable and efficient method suitable for solving more complicated initial value problems in the fields of science and engineering.

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“…Ullah et.al. (25) analyzed the flow of micro-polar nano-fluid between parallel plates with the effects of electric and magnetic fields.…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic Micropolar Fluid Squeeze Film Lubrication between Stepped Porous Parallel Plates

Naduvinamani¹,

Angadi²

2022

IJST

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Objectives:The primary goal of this paper is to study the influence of MHD and micropolar fluid on the squeeze film lubrication between stepped porous parallel plates. Method: The non-Newtonian micropolar fluid MHD Reynolds type equation is derived by considering the flow of micropolar fluid in the porous matrix as described by Darcy's law, as well as microstructure additives and magnetic effects associated with the magnetization of the fluid. The numerical solutions are presented graphically for the MHD squeeze film characteristics for various values of coupling number parameter, characteristic material length, and magnetic Hartmann number. Findings: According to the results, the micropolar fluid and the magnetic effects significantly influence the squeeze film characteristics. Comparing the MHD micropolar fluid impact on the squeeze film lubrication with the corresponding Newtonian and non-magnetic cases, we observe that there is a significant increase in the approaching time and the load-carrying capability. The increase in the step height decreases the squeezing film time. Novelty: The original research was conducted on the magneto-hydrodynamic micropolar fluid squeeze film lubrication between stepped porous parallel plates which has not been studied so far. The effect of applied magnetic field is to enhance the load carrying capacity and delayed time of approach which are the most desirable characteristics for improving the bearing performance.

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Neuro-Computing for Hall Current and MHD Effects on the Flow of Micro-Polar Nano-Fluid Between Two Parallel Rotating Plates

Cited by 27 publications

References 75 publications

Extended Local Convergence for the Chebyshev Method under the Majorant Condition

Extended Local Convergence for the Chebyshev Method under the Majorant Condition

Critical analysis for nonlinear oscillations by least square HPM

Magnetohydrodynamic Micropolar Fluid Squeeze Film Lubrication between Stepped Porous Parallel Plates

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