Double solutions and stability analysis of slip flow past a stretching/shrinking sheet in a carbon nanotube

Norzawary, N. H. A.; Bachok, Norfifah; Ali, Fadzilah Md; Rahmin, Nor Aliza Abd

doi:10.23939/mmc2022.04.816

Cited by 5 publications

(3 citation statements)

References 25 publications

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“…The goal of this paper is to continue the research conducted by Norzawary et al, [33] where we extend the problem to slip flow via a nonlinearly stretching/shrinking sheet, which considers both velocity and thermal slip parameters. In short, the velocity slip parameter measures slip effects at the fluid-solid interface concerning velocity.…”

Section: Introductionmentioning

confidence: 98%

Slip Flow Via Nonlinearly Stretching/Shrinking Sheet in A Carbon Nanotubes

Nur Hazirah Adilla Norzawary,

Norfifah Bachok

2024

ARMNE

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This study is to analyze the problem of slip flow via nonlinearly stretching/shrinking sheet in carbon nanotubes (CNTs) with suction/injection. The governing partial differential equations are transformed into nonlinear ordinary differential equations via the transformation of similarity. The bvp4c solver in Matlab is then used to resolve them numerically. Water is used as the base fluid together with single-wall and multi-wall CNTs. Both velocity slip and thermal slip are considered in this study. The flow parameters effect is investigated, shown in the form of a graph, and physically evaluated for the dimensionless velocity, temperature, skin friction, and Nusselt numbers. The results show that there are unique solutions for stretching sheets and non-unique solutions for shrinking sheets. In addition, increasing the velocity slip parameter , suction/injection parameter and nonlinear parameter widens the range of solutions, meanwhile increasing the thermal slip causing the rate of heat transfer to decrease.

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Section: Introductionmentioning

confidence: 98%

Slip Flow Via Nonlinearly Stretching/Shrinking Sheet in A Carbon Nanotubes

Nur Hazirah Adilla Norzawary,

Norfifah Bachok

2024

ARMNE

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“…There are two types of carbon nanotubes: multiwall and single-wall carbon nanotubes (MWCNTs and SWCNTs). There are numerous research on boundary layer flow problems concerning carbon nanotubes with different type of surfaces under a variety of effects [3][4][5][6][7]. Later on, the idea of using hybrid nanofluids fluorished due to the better performance of heat transfer compared to single nanoparticle nanofluids.…”

Section: Introductionmentioning

confidence: 99%

Magneto-hydrodynamic boundary layer flow and heat transfer of hybrid carbon nanotube over a moving surface

Azahari,

Bachok

2023

Math. Model. Comput.

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The boundary layer flow and heat transfer of hybrid carbon nanotubes over a moving surface with magneto-hydrodynamic effect are studied numerically in this paper. Single-wall (SWCNT) and multi-wall (MWCNT) carbon nanotubes are combined with water as the base fluid to form hybrid carbon nanotubes. The governing partial differential equations were transformed into a set of nonlinear ordinary differential equations using the similarity transformation, which were then numerically solved in the Matlab software using bvp4c. The influence of the nanoparticle volume fraction, magnetic parameter and velocity ratio parameter, on velocity and temperature profiles, local skin friction and local Nusselt number are discussed and presented in graphical forms. The results show that dual solutions appear when the free stream and plate move in the opposite direction, and the rate of heat transfer for hybrid carbon nanotubes is higher than viscous fluid and carbon nanotubes.

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“…Looking at these studies, it can be seen that many types of cases have been going through, for example, using different effects, liquids, mediums, and methods to prove or get over the curiosities [22][23][24][25]. Hence, the aim of this paper is also to modify and enhance the previous research to widen people's knowledge and interest.…”

Section: Introductionmentioning

confidence: 99%

Stagnation-point flow and heat transfer over an exponentially shrinking/stretching sheet in porous medium with heat generation

Hakim,

Rosali,

Johari

2023

Math. Model. Comput.

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This study seeks to examine the fluid flow at the stagnation point over an exponentially shrinking and stretching sheet in a porous medium. This study also investigates the heat transfer rate in the presence of heat generation. By using the appropriate similarity transformation, we obtained ordinary differential equations (ODEs) that are reduced from the governing system of partial differential equations (PDEs). These resulting equations are subjected to new boundary conditions and solved numerically by using BVP4C in MATLAB software. The effects of the parameters involved in this study are summarized and thoroughly discussed: the skin friction coefficient, local Nusselt number, velocity profile, and temperature profile obtained. The analysis is done by using graphical and tabular data. The observed parameters are the permeability parameter K and the heat generation parameter Q towards shrinking/stretching parameter λ. It is found that a dual solution exists for λ<0 (shrinking case), whereas the solution is unique for λ>0 (stretching case). The analysis reveals that with heat generation being increased, the skin friction coefficient is constant. However, it increases when permeability increases. The local Nusselt number decreases with heat generation being increased. However, it increases when the permeability increases.

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Double solutions and stability analysis of slip flow past a stretching/shrinking sheet in a carbon nanotube

Cited by 5 publications

References 25 publications

Slip Flow Via Nonlinearly Stretching/Shrinking Sheet in A Carbon Nanotubes

Slip Flow Via Nonlinearly Stretching/Shrinking Sheet in A Carbon Nanotubes

Magneto-hydrodynamic boundary layer flow and heat transfer of hybrid carbon nanotube over a moving surface

Stagnation-point flow and heat transfer over an exponentially shrinking/stretching sheet in porous medium with heat generation

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