Unsteady viscous flow over a rotating stretchable disk with deceleration

Fang, Tiegang; Hua, Tao

doi:10.1016/j.cnsns.2012.04.017

Cited by 58 publications

(36 citation statements)

References 13 publications

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“…10 An excellent agreement is found between the two which ensures the accuracy of results obtained here.…”

Section: Resultssupporting

confidence: 81%

“…To verify the correctness of the transformations and the consequences thereof, we solve the original self similar equations numerically using shooting method. Tables II and III 10 for different values of unsteady parameter A and stretching parameter α when n = 1.0. solution of the original equations (azimuthal velocity and unsteadiness present), for large stretching parameter. This comparison is made for small and large unsteady parameter by setting A = −0.5 to A = −5.0.…”

Section: Resultsmentioning

confidence: 99%

“…The dual solutions for the unsteady flow for the linear stretching 10 have been recounted for the nonlinear stretching also. Firstly, we develop the important mathematically tool of similarity transformation for the existing problem to convert the partial differential equation into consistent self similar ordinary differential equation.…”

Section: Discussionmentioning

confidence: 99%

“…The beauty of similarity transformations (7) is that for n = 1 we get the similarity equations for linearly unsteady stretching 10 and for A = 0 we arrive at the similarity equations for steady nonlinear stretching. 7…”

Section: The Formulationmentioning

confidence: 99%

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Similarity solution for flow over an unsteady nonlinearly stretching rotating disk

et al. 2015

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The unsteady laminar flow of an incompressible viscous fluid over a nonlinearly stretching rotating disk is investigated. The axisymmetric three-dimensional boundary layer equations are reduced into self-similar form with the help of new similarity transformation. The resulting coupled nonlinear equations are solved numerically using shooting method coupled with Range-Kutta 6 (RK-6). An exact analytical solution for the large stretching parameter is also presented. Some interesting observations are made while interpreting the results physically. Dual solutions are obtained due to the presence of unsteadiness parameter for the nonlinear stretching of the rotating disk. The analytical results reveal that for large stretching parameter the azimuthal velocity becomes negligible and the flow behaviors turn into steady state, which is the most surprising observation of the paper. These results are also verified numerically by solving original self similar equations using shooting method. C 2015 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution 3.0 Unported License. [http://dx

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“…10 An excellent agreement is found between the two which ensures the accuracy of results obtained here.…”

Section: Resultssupporting

confidence: 81%

Section: Resultsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: The Formulationmentioning

confidence: 99%

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Similarity solution for flow over an unsteady nonlinearly stretching rotating disk

et al. 2015

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“…For the present investigation, we considered the value of the Prandtl number Pr is equal to 0.71, which represent Prandtl number of air at 20 C. The default values of the other flow parameters are mentioned in each of the graphs and tables. Table 1 presents a comparison between the presented results and those reported by Fang and Tao [32] of F 0 (0) and G 0 (0) for different values of the flow unsteadiness parameter and disk stretching parameter, in the absence of the magnetic effects. A very good agreement can be observed between them.…”

Section: First and Second Law Analysis Resultsmentioning

confidence: 69%

Parametric analysis and optimization of entropy generation in unsteady MHD flow over a stretching rotating disk using artificial neural network and particle swarm optimization algorithm

Rashidi

Ali

Freidoonimehr

et al. 2013

Energy

202

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Nonlinear Multiphysical Laminar Nanofluid Bioconvection Flows: Models and Computation

Bég

2018

Computational Approaches in Biomedical Nano‐Engineering

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Social cues, such as eye gaze and pointing fingers, can increase the prioritisation of specific locations for cognitive processing. A previous study using a manual reaching task showed that, although both gaze and pointing cues altered target prioritisation (reaction times [RTs]), only pointing cues affected action execution (trajectory deviations). These differential effects of gaze and pointing cues on action execution could be because the gaze cue was conveyed through a disembodied head; hence, the model lacked the potential for a body part (i.e., hands) to interact with the target. In the present study, the image of a male gaze model, whose gaze direction coincided with two potential target locations, was centrally presented. The model either had his arms and hands extended underneath the potential target locations, indicating the potential to act on the targets (Experiment 1), or had his arms crossed in front of his chest, indicating the absence of potential to act (Experiment 2). Participants reached to a target that followed a nonpredictive gaze cue at one of three stimulus onset asynchronies. RTs and reach trajectories of the movements to cued and uncued targets were analysed. RTs showed a facilitation effect for both experiments, whereas trajectory analysis revealed facilitatory and inhibitory effects, but only in Experiment 1 when the model could potentially act on the targets. The results of this study suggested that when the gaze model had the potential to interact with the cued target location, the model's gaze affected not only target prioritisation but also movement execution.

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Unsteady viscous flow over a rotating stretchable disk with deceleration

Cited by 58 publications

References 13 publications

Similarity solution for flow over an unsteady nonlinearly stretching rotating disk

Similarity solution for flow over an unsteady nonlinearly stretching rotating disk

Parametric analysis and optimization of entropy generation in unsteady MHD flow over a stretching rotating disk using artificial neural network and particle swarm optimization algorithm

Nonlinear Multiphysical Laminar Nanofluid Bioconvection Flows: Models and Computation

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