Numerical Treatment for Darcy-Forchheimer Flow of Sisko Nanomaterial with Nonlinear Thermal Radiation by Lobatto IIIA Technique

Uddin, Izhar; Akhtar, Rizwan; Zhu, Zhiyu; Islam, Saeed; Shoaib, Muhammad; Raja, Muhammad Asif Zahoor

doi:10.1155/2019/8974572

Cited by 31 publications

(18 citation statements)

References 36 publications

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“…The inspiration behind this research work is above referred studies in which several researchers assumed various fluid with different types of nanoparticles and observed fascinating results for their thermal properties. A considerable research is being done about the numerical solution of the nanofluid flow problem 49 – 51 , but very few researchers tried to solve the hybrid nanofluid flow problem with novel numerical techniques. In this article, the authors investigate the problem of 3-D flow of MHD hybrid nanofluid over an extendable sheet in presence of thermal radiation.…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation for rotating flow of MHD hybrid nanofluid with thermal radiation over a stretching sheet

Shoaib

Raja

Sabir

et al. 2020

Sci Rep

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146

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This research investigates the heat and mass transfer in 3-D MHD radiative flow of water based hybrid nanofluid over an extending sheet by employing the strength of numerical computing based Lobatto IIIA method. Nanoparticles of aluminum oxide (Al2O3) and silver (Ag) are being used with water (H2O) as base fluid. By considering the heat transfer phenomenon due to thermal radiation effects. The physical flow problem is then modeled into set of PDEs, which are then transmuted into equivalent set of nonlinear ODEs by utilizing the appropriate similarity transformations. The system of ODEs is solved by the computational strength of Lobatto IIIA method to get the various graphical and numerical results for analyzing the impact of various physical constraints on velocity and thermal profiles. Additionally, the heat transfers and skin friction analysis for the fluid flow dynamics is also investigated. The relative errors up to the accuracy level of 1e-15, established the worth and reliability of the computational technique. It is observed that heat transfer rate increases with the increase in magnetic effect, Biot number and rotation parameter.

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Section: Introductionmentioning

confidence: 99%

Numerical investigation for rotating flow of MHD hybrid nanofluid with thermal radiation over a stretching sheet

Shoaib

Raja

Sabir

et al. 2020

Sci Rep

Self Cite

146

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“…Upreti et al 27 explored the impact of heat absorption/generation (nonuniform) and Ohmic heating on MHD Darcy-Forchheimer flow of a nanofluid. Uddin et al 28 presented a mathematical model on the Darcy-Forchheimer flow of a Sisko nanofluid to explore the flow, heat, and mass transfer patterns under the influence of radiation and convective heating. The fluid flow through a saturated porous medium utilizing modified Darcy law was examined by Hayat et al 29 The flow problem was modeled by considering the impacts of Joule heating, Hall, radiative heat flux, slip mechanism, and zero mass flux condition.…”

Section: Introductionmentioning

confidence: 99%

Numerical solution for Sisko nanofluid flow through stretching surface in a Darcy–Forchheimer porous medium with thermal radiation

et al. 2021

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The heat transfer assessments in a Sisko nanofluid flow over a stretching surface in a Darcy-Forchheimer porous medium with heat generation and thermal radiation are studied. The numerical analysis technique is used to assess the governing nonlinear equations of the model. The influence of Forchheimer number, porosity, heat generation, radiation, and material parameters is examined. The outlines of Nusselt number and skin friction coefficient corresponding to pertinent parameters are revealed. The comparison of Nusselt number outlines of working fluid and Newtonian fluid is depicted. From the analysis, it has been examined that with the increase in Forchheimer number and material parameter values, heat transfer function decreases, whereas heat transfer characteristics of Sisko nanofluid increase with heat generation and material parameters. Moreover, working fluid velocity outlines depreciate when there is an increase in porosity parameter for both shear-thinning and shearthickening. The comparison of this study with previous research has been conducted.

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“…Main functions of copper are in the electrical cable, tiling and pipes used in manufacturing. Numerical work for the flow of Darcy Forchhieimer was studied for the analysis of the sisko nanoparticle by compelling nonlinear thermal radiation with Lobatto IIIA method 16 . The study of Lobatto IIIA was investigated on the porous medium for the flow of two-dimensional flow of magneto hydro dynamic fluid taking the conditions of Navier’s slip and activation energy 17 .…”

Section: Introductionmentioning

confidence: 99%

A novel application of Lobatto IIIA solver for numerical treatment of mixed convection nanofluidic model

Ahmad

Cheema

Raja

et al. 2021

Sci Rep

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The objective of the current investigation is to examine the influence of variable viscosity and transverse magnetic field on mixed convection fluid model through stretching sheet based on copper and silver nanoparticles by exploiting the strength of numerical computing via Lobatto IIIA solver. The nonlinear partial differential equations are changed into ordinary differential equations by means of similarity transformations procedure. A renewed finite difference based Lobatto IIIA method is incorporated to solve the fluidic system numerically. Vogel's model is considered to observe the influence of variable viscosity and applied oblique magnetic field with mixed convection along with temperature dependent viscosity. Graphical and numerical illustrations are presented to visualize the behavior of different sundry parameters of interest on velocity and temperature. Outcomes reflect that volumetric fraction of nanoparticles causes to increase the thermal conductivity of the fluid and the temperature enhances due to blade type copper nanoparticles. The convergence analysis on the accuracy to solve the problem is investigated viably though the residual errors with different tolerances to prove the worth of the solver. The temperature of the fluid accelerates due the blade type nanoparticles of copper and skin friction coefficient is reduced due to enhancement of Grashof Number.

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Numerical Treatment for Darcy-Forchheimer Flow of Sisko Nanomaterial with Nonlinear Thermal Radiation by Lobatto IIIA Technique

Cited by 31 publications

References 36 publications

Numerical investigation for rotating flow of MHD hybrid nanofluid with thermal radiation over a stretching sheet

Numerical investigation for rotating flow of MHD hybrid nanofluid with thermal radiation over a stretching sheet

Numerical solution for Sisko nanofluid flow through stretching surface in a Darcy–Forchheimer porous medium with thermal radiation

A novel application of Lobatto IIIA solver for numerical treatment of mixed convection nanofluidic model

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