Stretching a Curved Surface in a Viscous Fluid

Sajid, Muhammad; Ali, Nasir; Javed, Tariq; Abbas, Zaheer

doi:10.1088/0256-307x/27/2/024703

Cited by 190 publications

(93 citation statements)

References 14 publications

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“…1c corresponds to injection, respectively, and t is the time. Under these assumptions along with the boundary layer approximations, the governing equations for the flow are given by, see Sajid et al [19] or Bejan [22],…”

Section: Basic Equationsmentioning

confidence: 99%

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Unsteady boundary layer flow over a permeable curved stretching/shrinking surface

Roşca

Pop

2015

European Journal of Mechanics - B/Fluids

149

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Section: Basic Equationsmentioning

confidence: 99%

“…In a series of papers by Sajid et al [19,20] and Abbas et al [21], the Crane's problem [5] was extended to a curved stretching sheet. The authors have analyzed the effects of curvature and found that its presence inside the boundary layer is no more negligible as in the case of a flat stretching sheet.…”

Section: Introductionmentioning

confidence: 99%

Unsteady boundary layer flow over a permeable curved stretching/shrinking surface

Roşca

Pop

2015

European Journal of Mechanics - B/Fluids

149

View full text Add to dashboard Cite

“…It may be noted that for a curved stretching surface pressure is no more constant inside the boundary layer (Sajid et al (2010)). …”

Section: Mathematical Formulationmentioning

confidence: 99%

“…However, Sajid et al (2010) modeled the flow problem using curvilinear coordinates systems by introducing a curvature in the surface. In another paper, discussed the flow of a micropolar fluid over a curved stretching surface.…”

Section: Introductionmentioning

confidence: 99%

MHD Flow of Micropolar Fluid due to a Curved Stretching Sheet with Thermal Radiation

Naveed¹,

Abbas²,

Sajid³

2016

JAFM

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The two-dimensional boundary layer flow of an electrically conducting micropolar fluid and heat transfer subject to a transverse uniform magnetic field over a curved stretching sheet coiled in a circle of radius has been studied. The effect of thermal radiation is also considered using linearized Rosseland approximation. For mathematical formulation of the flow equations, curvilinear coordinates system is used. The governing partial differential equations describing the flow phenomena and heat transfer characteristics are reduced to ordinary differential equations by means of suitable transformations. The system of differential equations is solved numerically by shooting method using Runge-Kutta algorithm combined with the Newtons-Raphson technique. Some physical features of the flow and heat transfer in terms of fluid velocity, angular velocity, temperature profile, the skin-friction coefficient, couple wall stress and the local Nusselt number for several values of fluid parameters are analyzed, discussed and presented in graphs and tables. Comparison of the present results with the published data for the flat surface i.e. ( → ∞) is found in good agreement.

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“…The work of Crane was expanded upon by many scholars, like Vajraelu and Roper [36] who investigated the stream of second-grade fluids and stretching sheets. Rosca and Pop [37] and Sajid et al [38] deliberated the vicious unsteady motion due to a shrinking/stretching curved medium. Further research on the liquid stream due to the stretching sheet can be found in several studies [39,40].…”

Section: Introductionmentioning

confidence: 99%

The Rotating Flow of Magneto Hydrodynamic Carbon Nanotubes over a Stretching Sheet with the Impact of Non-Linear Thermal Radiation and Heat Generation/Absorption

et al. 2018

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Abstract:The aim of this research work is to investigate the innovative concept of magnetohydrodynamic (MHD) three-dimensional rotational flow of nanoparticles (single-walled carbon nanotubes and multi-walled carbon nanotubes). This flow occurs in the presence of non-linear thermal radiation along with heat generation or absorption based on the Casson fluid model over a stretching sheet. Three common types of liquids (water, engine oil, and kerosene oil) are proposed as a base liquid for these carbon nanotubes (CNTs). The formulation of the problem is based upon the basic equation of the Casson fluid model to describe the non-Newtonian behavior. By implementing the suitable non-dimensional conditions, the model system of equations is altered to provide an appropriate non-dimensional nature. The extremely productive Homotopy Asymptotic Method (HAM) is developed to solve the model equations for velocity and temperature distributions, and a graphical presentation is provided. The influences of conspicuous physical variables on the velocity and temperature distributions are described and discussed using graphs. Moreover, skin fraction coefficient and heat transfer rate (Nusselt number) are tabulated for several values of relevant variables. For ease of comprehension, physical representations of embedded parameters such as radiation parameter (Rd), magnetic parameter (M), rotation parameter (K), Prandtl number (Pr), Biot number (λ), and heat generation or absorption parameter (Q h ) are plotted and deliberated graphically.

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Stretching a Curved Surface in a Viscous Fluid

Cited by 190 publications

References 14 publications

Unsteady boundary layer flow over a permeable curved stretching/shrinking surface

Unsteady boundary layer flow over a permeable curved stretching/shrinking surface

MHD Flow of Micropolar Fluid due to a Curved Stretching Sheet with Thermal Radiation

The Rotating Flow of Magneto Hydrodynamic Carbon Nanotubes over a Stretching Sheet with the Impact of Non-Linear Thermal Radiation and Heat Generation/Absorption

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