HAM solutions for boundary layer flow in the region of the stagnation point towards a stretching sheet

Nadeem, Sohail; Hussain, Anwar; Khan, Majid

doi:10.1016/j.cnsns.2009.04.037

Cited by 139 publications

(71 citation statements)

References 27 publications

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“…Concept of boundary layer flow over a moving surface is presented by Sakiadis (1961). Later on many authors extended the idea of stretching sheet for different fluid models (Nadeem and Hussain 2010;Nadeem et al 2011Noor et al 2010;Hashim et al 2008).…”

Section: Introductionmentioning

confidence: 99%

Numerical solution of non-Newtonian nanofluid flow over a stretching sheet

2013

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The steady flow of a Jeffrey fluid model in the presence of nano particles is studied. Similarity transformation is used to convert the governing partial differential equations to a set of coupled nonlinear ordinary differential equations which are solved numerically. Behavior of emerging parameters is presented graphically and discussed for velocity, temperature and nanoparticles fraction. Variation of the reduced Nusselt and Sherwood number against physical parameters is presented graphically. It was found that reduced Nusselt number is decreasing function and reduced Sherwood number is increasing function of Brownian parameter N b and thermophoresis parameter N t .

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Section: Introductionmentioning

confidence: 99%

Numerical solution of non-Newtonian nanofluid flow over a stretching sheet

2013

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“…Afterwards, many researchers extended the work of Crane' such as Gupta and Gupta, 13 Dutta 14 by considering the heat transfer phenomena under different physical aspects. Ishak 15 and Nadeem 16 also discussed the results of heat transfer. Recently, experimental and numerical study of heat transfer and flow friction is presented by Rao et al 17 In recent few years the study of heat generation becomes more popular due to uncountable applications in nuclear reactor engineering and scientific instrumentation.…”

Section: Introductionmentioning

confidence: 99%

Numerical solution of Williamson fluid flow past a stretching cylinder and heat transfer with variable thermal conductivity and heat generation/absorption

et al. 2016

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In this article, Williamson fluid flow and heat transfer over a stretching cylinder is discussed. The thermal conductivity is assumed to be vary linearly with temperature. Heat generation/absorption effects are also taken into account. Modeled partial differential equations are converted into ordinary differential form by using appropriate transformations. Shooting method in conjunction with Runge-Kutta-Fehlberg method is used to find the solution of the problem. Moreover, the effects of different flow parameters γ, λ, ϵ, β and Pr on velocity and temperature profiles are shown graphically. Local Nusselt number and skin friction coefficient are shown in tabular and graphical form.

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“…On the other hand, Chiam [3] reported the analytical and numerical solutions of the stagnation-point flow over a flat stretching sheet with variable thermal conductivity. Since then, many researchers, such as Mahapatra and Gupta [4,5], Ishak et al [6,7], Layek et al [8], Nadeem et al [9], Bachok et al [10], Bhattacharyya and Layek [11], and Lok et al [12] have investigated the behavior of stagnation-point flow with different aspects and conditions such as considering magnetic field effect, homogeneous-heterogeneous reactions effect, thermal radiation effect, suction/blowing, and micropolar fluid.…”

Section: Introductionmentioning

confidence: 99%

Stagnation-Point Flow towards a Stretching Vertical Sheet with Slip Effects

Zaimi

Ishak

2016

Mathematics

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Abstract:The effects of partial slip on stagnation-point flow and heat transfer due to a stretching vertical sheet is investigated. Using a similarity transformation, the governing partial differential equations are reduced into a system of nonlinear ordinary differential equations. The resulting equations are solved numerically using a shooting method. The effect of slip and buoyancy parameters on the velocity, temperature, skin friction coefficient and the local Nusselt number are graphically presented and discussed. It is found that dual solutions exist in a certain range of slip and buoyancy parameters. The skin friction coefficient decreases while the Nusselt number increases as the slip parameter increases.

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HAM solutions for boundary layer flow in the region of the stagnation point towards a stretching sheet

Cited by 139 publications

References 27 publications

Numerical solution of non-Newtonian nanofluid flow over a stretching sheet

Numerical solution of non-Newtonian nanofluid flow over a stretching sheet

Numerical solution of Williamson fluid flow past a stretching cylinder and heat transfer with variable thermal conductivity and heat generation/absorption

Stagnation-Point Flow towards a Stretching Vertical Sheet with Slip Effects

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