Unsteady stagnation-point flow and heat transfer over an exponential stretching sheet in Copper-water nanofluid with slip velocity effect

Dzulkifli, Nor Fadhilah; Bachok, Norfifah; Pop, Ioan; Yacob, Nor Azizah; Arifin, Norihan Md; Rosali, Haliza

doi:10.1088/1742-6596/1132/1/012029

Cited by 5 publications

(4 citation statements)

References 17 publications

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“…The systems of ordinary differential Equations ( 7) and ( 8) together with respective initial and far field conditions (9) were solved computationally using bvp4c in MATLAB software. The verification of the numerical data was achieved by comparing the results obtained by Dzulkifli et al [29]. From the verification process, the values of f (0) and − θ (0) are all mutually agreed with those reported by [29], refer Table 1.…”

Section: Resultssupporting

confidence: 55%

“…The verification of the numerical data was achieved by comparing the results obtained by Dzulkifli et al [29]. From the verification process, the values of f (0) and − θ (0) are all mutually agreed with those reported by [29], refer Table 1. Therefore, the authors guaranteed that the technique and results obtained in this study are all acceptable and valid.…”

Section: Resultssupporting

confidence: 55%

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Numerical Results on Slip Effect over an Exponentially Stretching/Shrinking Cylinder

et al. 2022

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An investigation is conducted to study the flow and heat transfer on stagnation point over an exponentially stretching/shrinking cylinder filled with nanofluid in the presence of slip at the boundary. By using the appropriate exponential similarity transformation, the governing equations are converted into nonlinear ordinary differential equations and then solved computationally using bvp4c in Matlab software. The results of skin friction coefficient, heat transfer coefficient, velocity and temperature profiles on slip parameter, curvature parameter, nanoparticles as well as nanoparticle volume fraction parameter are presented graphically. The presence of slip and curvature parameters cause the region of dual solutions to expand and at once enhance the heat transfer rate at the surface but somehow the heat transfer rate at the surface decreases rapidly when cylinder is shrunk. The aim of this paper is to investigate the effect of slip parameter on nanofluid as well as on the stretching/shrinking surface. The new findings of the effects of skin friction and heat transfer coefficient on different nanoparticles and nanoparticle volume fraction were discussed. Since there are dual solutions in the flow characteristics, we carry out a stability analysis to verify which solution is in a stable state and can be realized physically.

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Section: Resultssupporting

confidence: 55%

Section: Resultssupporting

confidence: 55%

Numerical Results on Slip Effect over an Exponentially Stretching/Shrinking Cylinder

et al. 2022

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“…Moreover, by implementing the shooting technique, Rashidi et al [9] have numerically reported the buoyancy effect of the nanofluid flow with the existence of thermal radiation and magnetohydrodynamic bounded by the stretchable sheet. The consideration of slip effect also has been taken account by many researchers towards the boundary layer problem of nanofluid as can be found in [10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

MHD Hybrid Cu-Al<sub>2</sub>O<sub>3</sub>/ Water Nanofluid Flow with Thermal Radiation and Partial Slip Past a Permeable Stretching Surface: Analytical Solution

Wahid

Arifin

Türkyılmazoğlu³

et al. 2020

JNanoR

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The influence of velocity slip and thermal radiation effects on the magnetohydrodynamic hybrid Cu-Al2O3/water nanofluid flow over a permeable stretching sheet is reported in this paper. The similarity transformation is adopted to reduce the partial differential equations to the ordinary differential equations. Exact analytical method is implemented to solve the problem. Maple program is used to facilitate the calculation process. The new additional effects which are the velocity slip and thermal radiation effects are considered towards the model to scrutinize the impacts. The effects of various parameters towards the velocity and temperature profiles are demonstrated through graphs, meanwhile the skin friction coefficient and the local Nusselt number are exhibited through the tabulation of data. The existence of velocity slip reduced the velocity profile but enhanced the temperature profile. The thermal radiation effect has increased the temperature profile. The heat transfer rate are enhanced for the case of hybrid nanofluid compared to the mono nanofluid.

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“…In addition, Hiemenz [ 24 ] was the earliest to investigate the flow past a flat sheet at a two-dimensional stagnation point. Moreover, Dzulkifli et al [ 25 ] examine the heat transfer rate and unstable stagnation-point flow towards an exponentially stretching surface in nanofluids, considering the velocity slip effect. Yashkun et al [ 26 ] investigated the features of the stagnation point flow and heat transfer across a shrinking/stretching sheet with a suction effect.…”

Section: Introductionmentioning

confidence: 99%

Non-Unique Solutions of Magnetohydrodynamic Stagnation Flow of a Nanofluid towards a Shrinking Sheet Using the Solar Radiation Effect

et al. 2023

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This study aims to investigate the magnetohydrodynamic flow induced by a moving surface in a nanofluid and the occurrence of suction and solar radiation effects using the Buongiorno model. The numerical findings are obtained using MATLAB software. The effects of various governing parameters on the rates of heat and mass transfer along with the nanoparticles concentration and temperature profiles are elucidated graphically. Non-unique solutions are discovered for a specific variation of the shrinking strength. The temporal stability analysis shows that only one of them is stable as time passes. Furthermore, raising the Brownian motion parameter reduces both the local Sherwood number and the local Nusselt number for both solutions. It is also observed that increasing the thermophoresis parameter reduces the rate of heat transfer, whereas the opposite trend is observed for the rate of mass transfer.

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Unsteady stagnation-point flow and heat transfer over an exponential stretching sheet in Copper-water nanofluid with slip velocity effect

Cited by 5 publications

References 17 publications

Numerical Results on Slip Effect over an Exponentially Stretching/Shrinking Cylinder

Numerical Results on Slip Effect over an Exponentially Stretching/Shrinking Cylinder

MHD Hybrid Cu-Al<sub>2</sub>O<sub>3</sub>/ Water Nanofluid Flow with Thermal Radiation and Partial Slip Past a Permeable Stretching Surface: Analytical Solution

Non-Unique Solutions of Magnetohydrodynamic Stagnation Flow of a Nanofluid towards a Shrinking Sheet Using the Solar Radiation Effect

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