Unsteady stagnation-point flow and heat transfer of a special third grade fluid past a permeable stretching/shrinking sheet

Naganthran, Kohilavani; Nazar, Roslinda Mohd.; Pop, Ioan

doi:10.1038/srep24632

Cited by 49 publications

(23 citation statements)

References 35 publications

(40 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Howarth7 and Davey8 extended the two-dimensional and axisymmetric flows to the three dimensional case, which is based on boundary layer approximation in the direction normal to the plane. We mention also here the paper by Naganthran et al 9. on the unsteady stagnation-point flow and heat transfer of a special third grade fluid past a permeable stretching/shrinking sheet.…”

mentioning

confidence: 99%

Axisymmetric rotational stagnation point flow impinging radially a permeable stretching/shrinking surface in a nanofluid using Tiwari and Das model

Roşca

Pop

2017

Sci Rep

Self Cite

View full text Add to dashboard Cite

In this paper, the problem of normal impingement rotational stagnation-point flow on a radially permeable stretching sheet in a viscous fluid, recently studied in a very interesting paper, is extended to a water-based nanofluid. A similarity transformation is used to reduce the system of governing nonlinear partial differential equations to a system of ordinary differential equations, which is then solved numerically using the function bvp4c from Matlab. It is found that dual (upper and lower branch) solutions exist for some values of the governing parameters. From the stability analysis, it is found that the upper branch solution is stable, while the lower branch solution is unstable. Sample velocity and temperature profiles along both solution branches are graphically presented.

show abstract

mentioning

confidence: 99%

Axisymmetric rotational stagnation point flow impinging radially a permeable stretching/shrinking surface in a nanofluid using Tiwari and Das model

Roşca

Pop

2017

Sci Rep

Self Cite

View full text Add to dashboard Cite

show abstract

“…Through these statements, the leading equations that oversee the time-dependent flow are presented as [4,8,26]:…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…is the ratio of temperature. For the purpose of the similarity result, we presume that κ = κ 0 (1 − ct) 3 /x 2 , with κ 0 > 0 being a constant (see Naganthran et al in [8]…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…Hussain et al [7] presented solar radiation model for the magnetic field along with third-grade nanoliquid from a convectively heated stretched surface. Naganthran et al [8] scrutinized the time-dependent flow of a special third-grade liquid through a porous stretched/shrinking surface. They observed the dual nature of results which remained true for the shrinking and stretched surfaces, and they also executed stability analysis.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Impact of Nonlinear Thermal Radiation on the Time-Dependent Flow of Non-Newtonian Nanoliquid over a Permeable Shrinking Surface

Zaib

Khan

et al. 2020

Symmetry

View full text Add to dashboard Cite

Symmetry and fluid dynamics either advances the state-of-the-art of mathematical methods and extends the limitations of existing methodologies to new contributions in fluid. Physical scenario is modelled in terms of differential equations as mathematical models in fluid mechanics to address current challenges. In this work a physical problem to examine the unsteady flow of a third-grade non-Newtonian liquid induced through a permeable shrinking surface containing nanoliquid is considered. The model of Buongiorno is utilized comprising the thermophoresis and Brownian effects through nonlinear thermal radiation and convective condition. Based on the flow symmetry, suitable similarity transformations are employed to alter the partial differential equations into nonlinear ordinary differential equations and then these ordinary differential equations are numerically executed via three-stage Lobatto IIIa formula. The flow symmetry is discussed for interesting physical parameters and thus this work is concluded. More exactly, the impacts of pertinent constraints on the concentration, temperature and velocity profiles along together drag force, Sherwood and Nusselt numbers are explained through the aid of the tables and plots. The outcomes reveal that the dual nature of solutions is gained for a specific amount of suction and flow in the decelerating form A < 0 . However, the unique result is obtained for flow in accelerating form A ≥ 0 . In addition, the non-linear parameter declines the liquid velocity and augments the concentration and temperature fields in the first result, whereas the contrary behavior is scrutinized in the second result.

show abstract

“…They observed that multiple solutions exist for a specific range of shrinking parameter. Recently, Naganthran 27 bestowed a numerical review for the unsteady flow of third grade fluid past a stretching/shrinking sheet. The multiple branches of solution have been derived using bvp4c routine in MATLAB.…”

Section: Introductionmentioning

confidence: 99%

Multiple physical aspects during the flow and heat transfer analysis of Carreau fluid with nanoparticles

Hashim

Hafeez

Khan

2018

Sci Rep

View full text Add to dashboard Cite

The current work is concerned with the two-dimensional boundary layer flow of a non-Newtonian fluid in the presence of nanoparticles. The heat and mass transfer mechanism for Carreau nanofluid flow due to a radially stretching/shrinking sheet is further investigated in this article. The governing physical situation is modelled in the form of partial differential equations and are simplified to a system of non-linear ordinary differential equations by employing dimensionless variables. Numerical simulations for non-dimensional velocity, temperature and concentration fields has been performed with the assistance of built-in Matlab solver bvp4c routine. One significant computational outcome of this study is the existence of multiple numerical solutions for the flow fields. The impacts of various developing parameters, for instance, Weissenberg number, power-law index, shrinking parameter, suction parameter, Prandtl number, Schmidt number, Brownian motion and thermophoresis parameter on the velocity, temperature and nanoparticles concentration are visualized through tables and graphical experiment. The numerical results demonstrate that the rates of heat and mass transfer are raised by higher Weissenberg number for first solution and an inverse is seen for second solution. Moreover, an increasing trend is seen in nanofluids temperature for both solutions with greater values of thermophoresis parameter. In addition, the numerical results obtained by the applied technique are validated with existing literature and found to be in an excellent agreement.

show abstract

Unsteady stagnation-point flow and heat transfer of a special third grade fluid past a permeable stretching/shrinking sheet

Cited by 49 publications

References 35 publications

Axisymmetric rotational stagnation point flow impinging radially a permeable stretching/shrinking surface in a nanofluid using Tiwari and Das model

Axisymmetric rotational stagnation point flow impinging radially a permeable stretching/shrinking surface in a nanofluid using Tiwari and Das model

Impact of Nonlinear Thermal Radiation on the Time-Dependent Flow of Non-Newtonian Nanoliquid over a Permeable Shrinking Surface

Multiple physical aspects during the flow and heat transfer analysis of Carreau fluid with nanoparticles

Contact Info

Product

Resources

About