Utilization of updated version of heat flux model for the radiative flow of a non-Newtonian material under Joule heating: OHAM application

Sohail, Muhammad; Ali, Umair; Zohra, Fatema Tuz; Al‐Kouz, Wael; Chu, Yu‐Ming; Thounthong, Phatiphat

doi:10.1515/phys-2021-0010

Cited by 29 publications

(13 citation statements)

References 48 publications

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“…A perturbation technique was used to increase the magnetic parameter value and the velocity to solve the boundary value problem. New parameters have also been added to the studies conducted in [20][21][22][29][30][31] and references therein.…”

Section: Rementioning

confidence: 99%

Utilization of Galerkin finite element strategy to investigate comparison performance among two hybrid nanofluid models

Sohail

Nazir

Naz

et al. 2022

Sci Rep

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The utilization of Fourier’s law of heat conduction provides the parabolic partial differential equation of thermal transport, which provides the information regarding thermal transport for the initial time, but during many practical applications, this theory is not applicable. Therefore, the utilization of modified heat flux model is to be used. This work discusses the utilization of non-Fourier heat flux model to investigate thermal performance of tri-hybrid nanoparticles mixture immersed in Carreau Yasuda material past over a Riga plate by using Hamilton Crosser and Yamada Ota models considering the variable thermos-physical characteristics. The phenomenon presenting the transport of momentum and energy are developed in the form of coupled partial differential equations, which are complex and then transformed into ordinary differential equations by using an appropriate transformation. The transformed equations have been tackled numerically via finite element scheme and the authenticity of obtained solution is shown with the help of comparative analysis of present results with those are available in open literature.

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Section: Rementioning

confidence: 99%

Utilization of Galerkin finite element strategy to investigate comparison performance among two hybrid nanofluid models

Sohail

Nazir

Naz

et al. 2022

Sci Rep

Self Cite

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“…Some novel contributions covering the modelling of transport problem are listed in Refs. 13 – 19 . Hosseinzadeh et al 20 investigated hydrothermal aspects in non-Newtonian martial involving nanoparticles in porous vessels.…”

Section: Introductionmentioning

confidence: 99%

Finite element analysis for ternary hybrid nanoparticles on thermal enhancement in pseudo-plastic liquid through porous stretching sheet

Sohail

El‐Zahar

Mousa

et al. 2022

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Thermal performance can be enhanced due to the mixing of nanoparticles in base fluid. This research discusses the involvement of ternary hybrid nanoparticles in the mixture of pseudo-plastic fluid model past over a two dimensional porous stretching sheet. Modelling of energy equation is carried out in the presence of external heat source or sink and viscous dissipation. The flow presenting equations and derived in Cartesian coordinate system under usual boundary layer theory in the form of complex coupled partial differential equations (PDEs). The derived PDEs have been converted into corresponding ordinary differential equations (ODEs) with the engagement of suitable transformation. The engineers, scientists and mathematicians have great interest in the solution of differential equations because to understand the real physics of the problem. Here, finite element scheme has been used to approximate the solution of the converted problem. The contribution of several emerging parameters on solution have been displayed through graphs and discussed. It is recommended that the finite element method can be engaged to approximate the solution of nonlinear problems arising in modelling the problem in mathematical physics.

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“…Moreover, they plotted streamlines for different parameters. Further important contributions are reported in [13][14][15].…”

Section: Introductionmentioning

confidence: 92%

Dynamics of Tri-Hybrid Nanoparticles in the Rheology of Pseudo-Plastic Liquid with Dufour and Soret Effects

et al. 2022

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The rheology of different materials at the micro and macro levels is an area of great interest to many researchers, due to its important physical significance. Past experimental studies have proved the efficiency of the utilization of nanoparticles in different mechanisms for the purpose of boosting the heat transportation rate. The purpose of this study is to investigate heat and mass transport in a pseudo-plastic model past over a stretched porous surface in the presence of the Soret and Dufour effects. The involvement of tri-hybrid nanoparticles was incorporated into the pseudo-plastic model to enhance the heat transfer rate, and the transport problem of thermal energy and solute mechanisms was modelled considering the heat generation/absorption and the chemical reaction. Furthermore, traditional Fourier and Fick’s laws were engaged in the thermal and solute transportation. The physical model was developed upon Cartesian coordinates, and boundary layer theory was utilized in the simplification of the modelled problem, which appears in the form of coupled partial differential equations systems (PDEs). The modelled PDEs were transformed into corresponding ordinary differential equations systems (ODEs) by engaging the appropriate similarity transformation, and the converted ODEs were solved numerically via a Finite Element Procedure (FEP). The obtained solution was plotted against numerous emerging parameters. In addition, a grid independent survey is presented. We recorded that the temperature of the tri-hybrid nanoparticles was significantly higher than the fluid temperature. Augmenting the values of the Dufour number had a similar comportment on the fluid temperature and concentration. The fluid temperature increased against a higher estimation of the heat generation parameter and the Eckert numbers. The impacts of the buoyancy force parameter and the porosity parameter were quite opposite on the fluid velocity.

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Utilization of updated version of heat flux model for the radiative flow of a non-Newtonian material under Joule heating: OHAM application

Cited by 29 publications

References 48 publications

Utilization of Galerkin finite element strategy to investigate comparison performance among two hybrid nanofluid models

Utilization of Galerkin finite element strategy to investigate comparison performance among two hybrid nanofluid models

Finite element analysis for ternary hybrid nanoparticles on thermal enhancement in pseudo-plastic liquid through porous stretching sheet

Dynamics of Tri-Hybrid Nanoparticles in the Rheology of Pseudo-Plastic Liquid with Dufour and Soret Effects

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