Local similarity solution for the flow of a “second-grade” viscoelastic fluid above a moving plate

Sadeghy, Kayvan; Sharifi, Mehdi

doi:10.1016/j.ijnonlinmec.2003.08.005

Cited by 89 publications

(47 citation statements)

References 27 publications

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“…In the process, a number of nonNewtonian fluid models have been proposed. The vast majority of non-Newtonian fluid are concerned of the types, e.g., like the power-law and grade two or three (Serdar and Salih Dokuz (2006), Andersson and Dandapat (1992), Sadeghy and Sharifi (2004), Hassanien (1996), Sajid et al (2007Sajid et al ( , 2009, Keimanesha et al (2011), Rashidi et al (2012)). These simple fluid models have the shortcomings that render results that are not in accordance with the fluid flows in reality.…”

Section: Introductionmentioning

confidence: 99%

Unsteady MHD Slip Flow of a Non-Newtonian Casson Fluid due to Stretching Sheet with Suction or Blowing Effect

Mahdy¹

2016

JAFM

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In this contribution a numerical study is carried out to analyze the effect of slip at the boundary of unsteady two-dimensional MHD flow of a non-Newtonian fluid over a stretching surface having a prescribed surface temperature in the presence of suction or blowing at the surface. Casson fluid model is used to characterize the non-Newtonian fluid behavior. With the help of similarity transformations, the governing partial differential equations corresponding to the momentum and heat transfer are reduced to a set of non-linear ordinary differential equations, which are then solved for local similar solutions using the very robust computer algebra software MATLAB. The flow features and heat transfer characteristics for different values of the governing parameters are graphically presented and discussed in detail. Comparison with available results for certain cases is excellent. The effect of increasing values of the Casson parameter is seen to suppress the velocity field. But the temperature is enhanced with increasing Casson parameter. For increasing slip parameter, velocity increases and thermal boundary layer becomes thinner in the case of suction or blowing.

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Section: Introductionmentioning

confidence: 99%

Unsteady MHD Slip Flow of a Non-Newtonian Casson Fluid due to Stretching Sheet with Suction or Blowing Effect

Mahdy¹

2016

JAFM

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“…In the process, a number of non-Newtonian fluid models have been proposed. Among these, the viscoelastic model [12][13][14], the power law model [15][16][17], second or third grade model [18][19], the Maxwell model [20][21]. There is another type of non-Newtonian fluid known as Casson fluid.…”

Section: Introductionmentioning

confidence: 99%

MHD Flow of Casson Fluid With Slip Effects over an Exponentially Porous Stretching Sheet in Presence of Thermal Radiation, Viscous Dissipation and Heat Source/Sink

2017

American Research Journal of Mathematics

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The study of laminar flow and heat transfer of a viscous fluid over a stretching sheet is an essential research field in fluid mechanics, due to its extensive applications in many manufacturing processes in industry, such as glass-fiber production, extraction of polymer sheet, hot rolling, wire drawing, solidification of liquid crystals, paper production, drawing of plastic films, petroleum production, exotic lubricants and suspension solutions, continuous cooling and fibers spinning. A lot of work on the boundary layer Newtonian fluids has been carried out both experimentally and theoretically. Crane [1] was the first who investigate the stretching problem taking into account the fluid flow over a linearly stretched surface. On the other hand, Gupta [2] stressed that realistically, stretching surface is not necessarily continuous. Magyari and Keller [3] analyzed the steady boundary layers on an exponentially stretching continuous surface with an exponential temperature distribution. Elbashbeshy [4] investigated the Heat transfer over an exponentially stretching continuous surface with suction. Partha [5] discussed the effect of viscous dissipation on the mixed convection heat transfer from an exponentially stretching surface. studied the effects of magnetic field on fluid flow and heat transfer over an exponentially stretching surface. Sajid and Hayat [7] find the analytical solution of the thermal radiation effects on the flow over an exponentially stretching sheet by using the homotopy analysis method. Later, Bidin and Nazar [8] numerically studied the effect of thermal radiation on the steady laminar boundary layer flow and heat transfer over an exponentially stretching sheet. Bararnia et al. [9] analytically studied the boundary layer flow and heat transfer on a continuously stretching surface. On the other hand, El-Aziz [10] analyzed the effect of viscous dissipation on mixed convection flow of micropolar fluid past an exponentially stretching sheet. Department of mathematics, Osmania University, Hyderabad, Telangana 500007, India. akavaramvlr@gmail.comAbstract: The present paper is devoted to describing the boundary layer flow of a non-Newtonian Casson fluid accompanied by heat transfer towards a porous exponentially stretching sheet with velocity slip and thermal slip conditions in the presence of thermal radiation, suction/blowing, viscous dissipation and heat source/ sink effects. The governing partial differential equations are reduced to a set of non-linear ordinary differential equations by using suitable similarity transformations and solved numerically by an implicit finite difference scheme known as the Keller box method. In the present work the effects of the non-dimensional governing parameters on velocity and temperature profiles have been discussed and presented graphically. As well as for the local skin-friction coefficient and the local Nusselt numbers exhibited and examined. It is found that the temperature is increasing to higher value when the Casson parameter increases but reverse is...

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“…Several models can be found in this regard. The vast majority of non-Newtonian fluid models are concerned with simple models like the power law and grade two or three (Hassanien, 1996), Sadeghy and Sharifi (2004), Serdar and Salih Dokuz (2006), Haroun (2007), Siddiqui et al (2008), Abel et al (2008), Sajid et al (2009)]. Though these models are very simple but deviate much from reality in results.…”

Section: Introductionmentioning

confidence: 99%

Unsteady MHD boundary layer flow of an upper convected Maxwell fluid past a stretching sheet with first order constructive/destructive chemical reaction

Mukhopadhyay

Gorla

2012

J. nav. arch. mar. engg.

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Local similarity solution for the flow of a “second-grade” viscoelastic fluid above a moving plate

Cited by 89 publications

References 27 publications

Unsteady MHD Slip Flow of a Non-Newtonian Casson Fluid due to Stretching Sheet with Suction or Blowing Effect

Unsteady MHD Slip Flow of a Non-Newtonian Casson Fluid due to Stretching Sheet with Suction or Blowing Effect

MHD Flow of Casson Fluid With Slip Effects over an Exponentially Porous Stretching Sheet in Presence of Thermal Radiation, Viscous Dissipation and Heat Source/Sink

Unsteady MHD boundary layer flow of an upper convected Maxwell fluid past a stretching sheet with first order constructive/destructive chemical reaction

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