Heat transfer in a liquid film on an unsteady stretching surface

Andersson, Helge I.; Aarseth, J. B.; Dandapat, B. S.

doi:10.1016/s0017-9310(99)00123-4

Cited by 373 publications

(230 citation statements)

References 16 publications

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“…If u and v are velocity components, T is the temperature and k is the thermal conductivity, then the governing time-dependent equations for the continuity, momentum and thermal energy are [8,10,15,17,18]:…”

Section: Equations Of Motionmentioning

confidence: 99%

“…Examples of such applications are crystal growing, continuous casting, polymer extrusion, manufacture and drawing of plastics and rubber sheets, wire drawing and so on. Sakiadis [1,2], Crane [3], Tsou et al [4], Gupta and Gupta [5], Maneschy et al [6], Grubka and Bobba [7], Wang [8], Usha and Rukamani [9], Anderson et al [10], Ali [11], Magyari et al [12], Vajravelu [13], Magyari and Keller [14], Elbashbeshy and Bazid [15], Dandapat et al [16], Ali and Magyari [17], Liu and Anderson [18], Chen [19], Dandapat et al [20], Cortell [21] have studied different problems related to such applications.…”

Section: Introductionmentioning

confidence: 99%

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Viscous flow and heat transfer over an unsteady stretching surface

Ene

Marinca

2016

Open Physics

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Abstract:In this paper we have studied the flow and heat transfer of a horizontal sheet in a viscous fluid. The stretching rate and temperature of the sheet vary with time. The governing equations for momentum and thermal energy are reduced to ordinary differential equations by means of similarity transformation. These equations are solved approximately by means of the Optimal Homotopy Asymptotic Method (OHAM) which provides us with a convenient way to control the convergence of approximation solutions and adjust convergence rigorously when necessary. Some examples are given and the results obtained reveal that the proposed method is effective and easy to use.

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Section: Equations Of Motionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Viscous flow and heat transfer over an unsteady stretching surface

Ene

Marinca

2016

Open Physics

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“…Motivated by this, an attempt is made in this paper to extend the work of Andersson et al [24] for an upper-convected Maxwell fluid in a porous medium subjected to suction/blowing. The corresponding boundary layer equation is transformed into an ordinary differential equation by means of similarity transformations and then solved numerically using the shooting method.…”

Section: Introductionmentioning

confidence: 99%

Upper-Convected Maxwell Fluid Flow over an Unsteady Stretching Surface Embedded in Porous Medium Subjected to Suction/Blowing

Mukhopadhyay

2012

Zeitschrift Für Naturforschung A

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Unsteady two-dimensional flow of a Maxwell fluid over a stretching surface in a porous medium subjected to suction/blowing is investigated. The upper-convected Maxwell fluid model is used to characterize the non-Newtonian fluid behaviour. With the help of similarity transformations, the boundary layer equation corresponding to the momentum equation is transformed to an ordinary one and then solved numerically by the shooting method. The flow characteristics for different values of the governing parameters are analyzed and discussed in detail. The fluid velocity initially decreases with increasing unsteadiness parameter. Also, it is found that the fluid velocity decreases with increasing permeability parameter. The effect of increasing values of the Maxwell parameter is to suppress the velocity field. Due to suction, the fluid velocity is found to decrease in the boundary layer region.

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“…Interesting studies in this direction may be mentioned by Devi et al (1991), Andersson et al (2000), , Ishak et al (2009), Hayat et al (2012a, Makinde (2012), Shehzad et al (2013aShehzad et al ( , 2013b etc. In all these studies heat transfer is discussed either through the prescribed temperature or heat flux at the surface.…”

Section: Introductionmentioning

confidence: 99%

Flow and Heat Transfer over an Unsteady Stretching Sheet in a Micropolar Fluid with Convective Boundary Condition

Shehzad

Waqas

Alsaedi

et al. 2016

JAFM

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This article is concerned with the flow of micropolar fluid over an unsteady stretching surface with convective boundary condition. The governing partial differential equations are first converted into ordinary differential equations using appropriate transformations and then solved for the series solutions. Influence of micropolar parameter, unsteadiness parameter, boundary parameter, Prandtl number and Biot number on the flow and heat transfer characteristics is examined. Numerical values of local Nusselt number and skin friction coefficient are presented and analyzed. It is observed that temperature is an increasing function of Biot number.

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Heat transfer in a liquid film on an unsteady stretching surface

Cited by 373 publications

References 16 publications

Viscous flow and heat transfer over an unsteady stretching surface

Viscous flow and heat transfer over an unsteady stretching surface

Upper-Convected Maxwell Fluid Flow over an Unsteady Stretching Surface Embedded in Porous Medium Subjected to Suction/Blowing

Flow and Heat Transfer over an Unsteady Stretching Sheet in a Micropolar Fluid with Convective Boundary Condition

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