Two-dimensional oblique stagnation-point flow towards a stretching surface in a viscoelastic fluid

Husain, Iqbal; Labropulu, F.; Pop, I.

doi:10.2478/s11534-010-0045-5

Cited by 7 publications

(16 citation statements)

References 29 publications

(31 reference statements)

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“…They found that no boundary layer exits when stretching and free stream velocities become same. Husain et al [9] extended the work of oblique stagnation point flow for viscoelastic fluid model, Mahapatra et al [10] studied radiation effects in oblique stagnation point region, Lok et al [11], considered micropolar fluid model and Yajun et al [12] studied magnetic effects on heat and fluid flow in stagnation point region.…”

Section: Introductionmentioning

confidence: 99%

Non-linear radiation influence on oblique stagnation point flow of Maxwell fluid

Ghaffari

Javed

Mustafa³

2018

Rev. Mex. Fís.

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Non-linear thermal radiation effects on non-aligned stagnation point flow of Maxwell fluid have been carried out in the present investigation. It is observed that the non-linear radiation augments the temperature and heat transfer rate. This physical phenomenon is translated into a system of partial differential equations (PDEs). After useful transformation, these non-linear constitutive equations are transformed into a system of ordinary differential equations (ODEs) and interpreted numerically by means of parallel shooting technique. Effects of pertinent parameters on flow and heat transfer are elaborated through tables and graphs. It is observed that radiation and surface heating enhance the rate of heat transfer, however Prandtl number has inverse relation with thermal boundary layer thickness. It has been observed that for increasing Prandtl number, heat transfer rate enhances. The detailed discussion of heat transfer rate is also presented in this study. Flow pattern is judged through streamlines graphs. It is also observed that oblique stagnation point flow behaves like orthogonal stagnation point flow, when free stream velocity is very large as compared to stretching velocity.

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Section: Introductionmentioning

confidence: 99%

Non-linear radiation influence on oblique stagnation point flow of Maxwell fluid

Ghaffari

Javed

Mustafa³

2018

Rev. Mex. Fís.

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“…The leading studies [1][2][3][4][5][6][7][8] on oblique stagnation point flow had been carried out by many researchers. In Recent era, Husain et al 9) considered the problem of non-aligned stagnation point flow for a non-Newtonian fluid model and they numerically investigated that how the viscous properties effected the flow near stagnation point region. Mahapatra et al 10) studied the effects of thermal radiation near the oblique stagnation point flow towards a shrinking sheet.…”

Section: Introductionmentioning

confidence: 99%

“…(10)acquires the following form(11) The important variables which are used to dimensionless the entire system of equation including the boundary constrains are(12) in Eqs. (5-7),(9) and(11), in dimensionless form(13)…”

mentioning

confidence: 99%

Time Dependent Convective Non-Orthogonal Hiemenz Flow of Viscoelastic Walter's B Fluid towards a Non-Uniformly Heated Vertical Surface: Using Spectral Method

Ghaffari

Mustafa

Javed

2018

J. Soc. Rheol., Jpn

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Study of non-orthogonal time dependent mixed convection Hiemenz flow of viscoelastic Walter's B fluid with thermal radiation is the major focus of this article. The surface intact with the fluid particle is assumed to be oscillating-stretching and heated with sinusoidal surface temperature. This physical process is modeled in mathematical form into system of PDEs, which are simulated numerically by Chebyshev spectral method. The obtained solution is firstly validated for reduced case with already published results, and then further results are achieved for governing physical parameters. The effects of dimensionless emerging constants are described through tables and graphs. In this study, it is concluded that in assisting flow case velocity enhances as compared to opposing flow case. By increasing the Weissenberg number velocity of the fluid decreases in both assisting and opposing flow cases while in opposing flow case these effects are more prominent as compared to assisting flow case. The streamlines in both assisting and opposing flow cases come closer to each other with the passage of time and at t = 3π / 2, they overlap each other and stagnation points also get coincide.

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“…The flow is described using a coupled set of ordinary differential equations. Recently, Erfani et al [12], Husain et al [13], Mahapatra et al [14], Lok et al [15], Yajun and Liancun [16], and Javed et al [17] have done notable work on orthogonal and oblique stagnation point flow.…”

Section: Introductionmentioning

confidence: 99%

“…Keeping such preference in view the viscoelastic nanofluid is considered in this paper. Many viscoelastic fluids models have been proposed but here constitutive equations of Walter-B fluid [39][40][41] are employed in the mathematical formulation. Our intention here is to compute the oblique stagnation point flow of viscoelastic nanofluid.…”

Section: Introductionmentioning

confidence: 99%

Oblique stagnation point flow of a non-Newtonian nanofluid over stretching surface with radiation: A numerical study

2017

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In this study, we discussed the enhancement of thermal conductivity of elasticoviscous fluid filled with nanoparticles, due to the implementation of radiation and convective boundary condition. The flow is considered impinging obliquely in the region of oblique stagnation point on the stretching surface. The obtained governing partial differential equations are transformed into a system of ordinary differential equations by employing a suitable transformation. The solution of the resulting equations is computed numerically using Chebyshev spectral newton iterative scheme. An excellent agreement with the results available in literature is obtained and shown through tables. The effects of involving parameters on the fluid flow and heat transfer are observed and shown through graphs. It is importantly noted that the larger values of Biot number imply the enhancement in heat transfer, thermal boundary layer thickness, and concentration boundary layer thickness.

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Two-dimensional oblique stagnation-point flow towards a stretching surface in a viscoelastic fluid

Cited by 7 publications

References 29 publications

Non-linear radiation influence on oblique stagnation point flow of Maxwell fluid

Non-linear radiation influence on oblique stagnation point flow of Maxwell fluid

Time Dependent Convective Non-Orthogonal Hiemenz Flow of Viscoelastic Walter's B Fluid towards a Non-Uniformly Heated Vertical Surface: Using Spectral Method

Oblique stagnation point flow of a non-Newtonian nanofluid over stretching surface with radiation: A numerical study

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