Analytical and numerical solutions of Oldroyd 8-constant fluid in double-layer optical fiber coating

Khan, Zeeshan; Rasheed, Haroon Ur; Ullah, Mukhtar; Gul, Taza; Jan, Akhtar

doi:10.1007/s11998-018-0113-0

Cited by 11 publications

(6 citation statements)

References 19 publications

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“…The Oldroyd 8–constant fluid was utilized for analysis of WC by Shah et al [ 16 ]. Sajid et al [ 17 ] studied the MHD flow of an Oldroyd 8–constant fluid for analysis of WC in a pressure–type coating die. Zeeshan et al [ 18 ] developed the differential type non-Newtonian system for WCA.…”

Section: Introductionmentioning

confidence: 99%

Supervised Learning Algorithm to Study the Magnetohydrodynamic Flow of a Third Grade Fluid for the Analysis of Wire Coating

et al. 2021

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In the present study, modeling of intelligent numerical computing through Levenberg–Marquardt back propagation-based supervised neural network (LMB-SNN) is incorporated to analyze the magnetohydrodynamic flow of a third grade fluid for wire coating analysis (MHD-TGFWCA). The original mathematical formulations in terms of partial differential equations for MHD-TGFWCA are converted into a system of ordinary differential equations through dimensionless parameters and a suitable transformation mechanism. A reference dataset for the LMB-SNNs scheme is created with Adam’s numerical technique for various scenarios by variation of different physical quantities such as third grade fluid parameter, magnetic parameter, and the velocity ratio parameter. To compute the approximate solution for MHD-TGFWCA in terms of various scenarios, the training, testing, and validation operations are carried out in parallel to adjust neural networks by developing the mean square error function (MSEF) through Levenberg–Marquardt back-propagation. The comparative analyses and performance studies through outputs of MSEF, regression illustrations, and error histograms validate the effectiveness of the suggested solver LMB-SNNs. The method’s precision is verified by the closest numerical outputs of both built and dataset values with similar levels to .

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Section: Introductionmentioning

confidence: 99%

Supervised Learning Algorithm to Study the Magnetohydrodynamic Flow of a Third Grade Fluid for the Analysis of Wire Coating

et al. 2021

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“…In recent years, MHD has been an attractive area for researchers because of its vast usage in different industrial processes, such as those used in magnetic materials and glass manufacturing processes. Many researchers [21][22][23][24][25][26][27][28] consider MHD as a current-conducting liquid in the presence of an applied magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Eyring–Powell Fluid Flow Used as a Coating Material for Wire with Variable Viscosity Effect along with Thermal Radiation and Joule Heating

et al. 2020

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This article examines a wire coating technique that considers how viscoelastic Eyring–Powell fluid is studied with magnetohydrodynamic (MHD) flow, thermal transfer, and Joule heating effects. Temperature-dependent variable and flexible viscosity models are considered. The interface boundary layer equalities which describe flux and thermal convective phenomena are evaluated using a dominant numerical technique—the so-called Runge–Kutta 4th-order method. A permeable matrix which behaves like a dielectric to avoid heat dissipation is taken into account and is the distinguishing aspect of this article. The effect of thermal generation is also explained, as it controls power. The effects of various parameters, such as non-Newtonian fluid, magnetic field, permeability, and heat source/sink, on wire coating processes are investigated through graphs and explained in detail. For the sake of validity, numerical techniques are compared with a semi-numerical technique (HAM) and BVPh2, and an outstanding agreement is found.

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“…In recent years, MHD has been an attractive area for researcher because of its vast usage in different industrial process just as magnetic material and glass manufacture processing. Many researchers [24][25][26][27][28][29] considered MHD as a current conducting liquid in the presence/absence of magnetic field and its consequences.…”

Section: Introductionmentioning

confidence: 99%

Investigation of Wire Coating Using Hydromagnetic Third-Grade Liquid for Coating along with Hall Current and Porous Medium

Khan

Rasheed

Khan

et al. 2020

Mathematical Problems in Engineering

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In this research study, we investigated and performed coating analysis of wire by using MHD convective third-order fluid in the presence of a permeable matrix taking into account the Hall current. The equations that control the motion of fluid in the chamber are first modeled and then numerically solved by using 4th order Runge–Kutta–Fehlberg technique. The Runge–Kutta–Fehlberg method is a powerful tool used in this article to attain a numerical solution for a system of nonlinear ordinary differential equations describing the problem of fluid flow. The impact of governing parameters on velocity and temperature profiles is investigated graphically. It is noticed that the velocity profiles ur rise as the value of viscoelastic parameter β increases and slow down when the permeability parameter K and the Hartmann number M increase. Also, the temperature profiles θr enhance as the Brinkman number Br, permeability parameter K, magnetic parameter M, and non-Newtonian parameter β increase. For the sake of validation, the proposed method is also compared with BVPh2, and good agreement is found. Furthermore, a comparison is also done with the published work as a limiting case.

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Analytical and numerical solutions of Oldroyd 8-constant fluid in double-layer optical fiber coating

Cited by 11 publications

References 19 publications

Supervised Learning Algorithm to Study the Magnetohydrodynamic Flow of a Third Grade Fluid for the Analysis of Wire Coating

Supervised Learning Algorithm to Study the Magnetohydrodynamic Flow of a Third Grade Fluid for the Analysis of Wire Coating

Analysis of Eyring–Powell Fluid Flow Used as a Coating Material for Wire with Variable Viscosity Effect along with Thermal Radiation and Joule Heating

Investigation of Wire Coating Using Hydromagnetic Third-Grade Liquid for Coating along with Hall Current and Porous Medium

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