A Study of Non-Newtonian Flow and Heat Transfer Over a Non-Isothermal Wedge Using the Homotopy Analysis Method

Rashidi, Majid; Rastegari, M. T.; Asadi, Mostafa; Bég, O. Anwar

doi:10.1080/00986445.2011.586756

Cited by 107 publications

(56 citation statements)

References 30 publications

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“…Over the last few decades, several mathematical models have been used for different kinds of fluids, either Newtonian fluids [1][2][3], or non-Newtonian fluids [4][5][6] to describe the physical phenomena of flow in fluid mechanics. There are many special cases of non-Newtonian fluids such as nanofluids, micropolar fluids and Ellis fluids, etc.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Entropy Generation in the Flow of Peristaltic Nanofluids in Channels With Compliant Walls

Abbas

Bai

Rashidi

et al. 2016

Entropy

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Section: Introductionmentioning

confidence: 99%

Analysis of Entropy Generation in the Flow of Peristaltic Nanofluids in Channels With Compliant Walls

Abbas

Bai

Rashidi

et al. 2016

Entropy

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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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“…The homotopy analysis method (HAM) was initially proposed and nurtured by Liao [24][25][26][27]. This technique has been successfully applied to solve many types of nonlinear problems such as nonlinear periodic wave problems [39], Vakhnenko equation [42], Laplace equation [14], steady flow of a fourth grade fluid [36], generalized Hirota-Satsuma coupled KdV equation [2], nonNewtonian flow and heat transfer over a non-isothermal wedge [35], micropolar flow in a porous channel with mass injection [34], nonlinear fractional shock wave equation [23] etc. The Laplace transform [37] is a powerful scheme for solving various linear partial differential equations having applications in various fields such as physics, chemistry, biology and finance.…”

Section: Introductionmentioning

confidence: 99%

An efficient computational approach for generalized Hirota-Satsuma coupled KdV equations arising in shallow water waves

Gupta

Kumar

Singh

2017

Waves, Wavelets and Fractals

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Abstract:The aim of this letter is to present a numerical algorithm for generalized Hirota-Satsuma coupled KdV equations arising in unidirectional propagation of shallow water waves by using the homotopy analysis transform technique. The computational approach is the merged form of the homotopy analysis technique and Laplace transform scheme. The technique provides a series solution, which converges very fast, components are very easily calculated, and it does not require linearization or small perturbation. The numerical and graphical results derived by making use of proposed approach indicate that the scheme is very user friendly and easy to implement.

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A Study of Non-Newtonian Flow and Heat Transfer Over a Non-Isothermal Wedge Using the Homotopy Analysis Method

Cited by 107 publications

References 30 publications

Analysis of Entropy Generation in the Flow of Peristaltic Nanofluids in Channels With Compliant Walls

Analysis of Entropy Generation in the Flow of Peristaltic Nanofluids in Channels With Compliant Walls

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

An efficient computational approach for generalized Hirota-Satsuma coupled KdV equations arising in shallow water waves

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