Numerical Study of the Onset of Convection in a Newtonian Nanofluid Layer with Spatially Uniform and Non Uniform Internal Heating

Wakif, Abderrahim; Boulahia, Zoubair; Sehaqui, Rachid

doi:10.1166/jon.2017.1293

Cited by 49 publications

(18 citation statements)

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“…Time-dependent tangent hyperbolic uid ow past a wedge with nanoparticles was ascertained by Atif et al [35], and they noticed that the concentration pro le was enhanced for escalating values of generalized Biot number. For further reading, see [36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

Effect of thermal radiation on MHD micropolar Carreau nanofluid with viscous dissipation, Joule heating and internal heating

2019

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The aim of the present study is to analyze the magnetohydrodynamic micropolar Carreau nano uid ow past a stretching sheet. Viscous dissipation, internal heating, Joule heating, and linear thermal radiation e ects are also incorporated into the energy equation. The system of governing PDEs is transformed into the ODEs by invoking the similarity transformation. The shooting method is implemented to solve the system of ODEs. The in uence of pertinent parameters on ow distributions is analyzed graphically and discussed in detail. The uid motion upsurges for the larger values of the Weissenberg number and the material parameter, while the reverse situation is studied in the thermal and concentration pro les.

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Section: Introductionmentioning

confidence: 99%

Effect of thermal radiation on MHD micropolar Carreau nanofluid with viscous dissipation, Joule heating and internal heating

2019

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“…Many ideas have been implemented and many research activities have been carried out attempting to improve the thermal properties of heat transfer fluids. The thermal conductivity of heat transfer fluids can be enhanced by the use of metallic or non-metallic nanoparticles in a base fluid [1][2][3][4]. The resulting mixture is commonly known as a nanofluid.…”

Section: Introductionmentioning

confidence: 99%

Jatropha Oil With Iron Nanoparticles Application in Drilling Processes

Shalimba

Sopko²

2019

Acta Polytech

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A performance of heat transfer fluids has a substantial influence on the size, weight and cost of heat transfer systems, therefore, a high-performance heat transfer fluid is very important in many industries. Over the last decades, nanofluids have been developed. According to many researchers and publications on nanofluids, it is evident that nanofluids have a high thermal conductivity. The aim of this experimental study was to investigate the change of the workpiece temperature during drilling using Jatropha oil with iron nanoparticles and water with iron nanoparticles as lubricating and cooling fluids. These experiments were carried out with samples of nanofluid with different nanoparticles volume ratio, such as samples JN 1, JN 5 and JN 10 of iron nanoparticles in the base Jatropha oil with a nanoparticle volume fraction of 1 %, 5 % and 10 % respectively and samples W N 1, W N 5 and W N 10 of iron nanoparticles in the base water with a nanoparticle volume fraction of 1 %, 5 % and 10 % respectively.

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“…Examples are incompressible viscous flow through a drain or canal with its bottom covered by sherbet of mud and pebbles, incompressible viscous flow of melted iron coming out from a melting furnace, incompressible viscous flow through a net or sieve, incompressible viscous flow through a filter, and incompressible viscous flow in a purification plant. Furthermore, among these phenomena, there are those cases where the nontrivial moments, say leak or slip take place only when magnitude of the stress at the boundary surpasses a threshold …”

Section: Introductionmentioning

confidence: 99%

“…Furthermore, among these phenomena, there are those cases where the nontrivial moments, say leak or slip take place only when magnitude of the stress at the boundary surpasses a threshold. [5][6][7] For this typical boundary conditions (3), Fujita 8,9 investigated existence and uniqueness of weak solution to the Stokes problem. Subsequently, Saito 2 studied regularity of the weak solution for the Stokes equations by Yosidas regularized method and difference quotients.…”

Section: Introductionmentioning

confidence: 99%

Low‐order stabilized finite element methods for the unsteady Stokes/Navier‐Stokes equations with friction boundary conditions

Qiu

Xue

2018

Math Methods in App Sciences

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In this paper, we consider low‐order stabilized finite element methods for the unsteady Stokes/Navier‐Stokes equations with friction boundary conditions. The time discretization is based on the Euler implicit scheme, and the spatial discretization is based on the low‐order element (P1−P1 or P1−P0) for the approximation of the velocity and pressure. Moreover, some error estimates for the numerical solution of fully discrete stabilized finite element scheme are obtained. Finally, numerical experiments are performed to confirm our theoretical results.

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Numerical Study of the Onset of Convection in a Newtonian Nanofluid Layer with Spatially Uniform and Non Uniform Internal Heating

Cited by 49 publications

References 0 publications

Effect of thermal radiation on MHD micropolar Carreau nanofluid with viscous dissipation, Joule heating and internal heating

Effect of thermal radiation on MHD micropolar Carreau nanofluid with viscous dissipation, Joule heating and internal heating

Jatropha Oil With Iron Nanoparticles Application in Drilling Processes

Low‐order stabilized finite element methods for the unsteady Stokes/Navier‐Stokes equations with friction boundary conditions

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