Numerical treatment of Powell–Eyring fluid flow using Method of Satisfaction of Asymptotic Boundary Conditions (MSABC)

Patel, Manisha; Timol, M. G.

doi:10.1016/j.apnum.2009.04.010

Cited by 118 publications

(65 citation statements)

References 2 publications

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“…Let T w (x) = T ∞ + c exp(x/2l) denote the temperature of the surface where T ∞ is the ambient temperature. In the absence of heat generation and viscous dissipation, the steady boundary layer equations for flow and heat transfer in a Powell-Eyring fluid are (see Patel and Timol [4] and Hayat et al [5])…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…Homotopy perturbation analysis of slider bearing lubricated with a Powell-Eyring fluid is presented by Islam et al [3]. Patel and Timol [4] numerically examined the flow of a Powell-Eyring model past a wedge by using the method of satisfaction of asymptotic boundary conditions. Analytic solutions for flow of a Powell-Eyring fluid over a continuously moving surface with convective boundary conditions are computed by Hayat et al [5].…”

Section: Introductionmentioning

confidence: 99%

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Exponentially Stretching Sheet in a Powell–Eyring Fluid: Numerical and Series Solutions

Mushtaq

Mustafa

Hayat

et al. 2013

Zeitschrift Für Naturforschung A

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This work theoretically examines the flow and heat transfer characteristics due to an exponentially stretching sheet in a Powell-Eyring fluid. Governing partial differential equations are nondimensionalized and transformed into non-similar forms. Explicit analytic expressions of velocity and temperature functions are developed by homotopy analysis method (HAM). The Numerical solutions are obtained by using shooting method with fourth-order Runge-Kutta integration technique. The fields are influence appreciably with the variation of embedding parameters. We noticed that the velocity ratio has a dual behaviour on the momentum boundary layer. On the other hand the thermal boundary layer thins when the velocity ratio is increased. The results indicate a significant increase in the velocity and a decrease in thermal boundary layer thickness with an intensification in the viscoelastic effects.

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Section: Formulation Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Exponentially Stretching Sheet in a Powell–Eyring Fluid: Numerical and Series Solutions

Mushtaq

Mustafa

Hayat

et al. 2013

Zeitschrift Für Naturforschung A

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“…The numerical communication on Eyring Powell fluid was given Patel and Timol. 8 Hayat et al 9 discussed Eyring Powell fluid flow past a moving surface under convective endpoint conditions. Whereas, the fluid (Eyring Powell model) adjacent to the linearly stretched flat surface was taken by Javed et al 10 Beside, the work on Eyring Powell fluid flow over a cylindrical surface with different physical effects is concerned, see Ref.…”

Section: Introductionmentioning

confidence: 99%

Magneto-nanofluid numerical modelling of chemically reactive Eyring-Powell fluid flow towards both flat and cylindrical an inclined surfaces: A comparative study

2017

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An article is made to report the combined effects of both chemical reaction and dual stratification on boundary layer magneto-hydrodynamic Eyring Powell nanofluid flow towards both flat and cylindrical an inclined stretching surfaces under the region of stagnation point along with heat and mass transfer characteristics. The flow situation is carried out by considering physical effects namely, thermal radiation and heat generation. To be more specific, the fluid flow is entertained through no slip condition i-e the velocity of particles is directly related to velocity of surface due to stretching. The physical situation within the real concerned constraints is translated in terms of differential equations as a boundary value problem. To make implementation of computational algorithm possible, firstly the intricate PDE's are transformed into ODE's by using suitable transformation, secondly resulting boundary value problem is converted into an initial value problem. These constructed ordinary differential equations are solved computationally by shooting technique charted with Runge-Kutta scheme. The effect logs of involved physical flow parameters are explored with the aid of graphical outcomes and tabular values. A straight line curve fitting way of communication is executed to inspect the impact of both thermophoresis parameter and Brownian motion parameter on heat and mass transfer rates. It is found that heat transfer normal to the cylindrical surface shows decline attitude towards both thermophoresis and Brownian motion parameters. © 2017 Author (s)

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“…The process of peristalsis is widely used in evaluating swallowing of food through the esophagus, chyme motion in the gastrointestinal tract, vasomotion of small blood vessels, capillaries and arterioles, urine transport from kidney to bladder and a toxic liquid transportation in the nuclear industry, etc. Most of the industrial used fluids have non-Newtonian characteristics and have been investigated by many researchers (Shukla and Rahman 1998;Naz et al 2008;Hameed and Nadeem 2007;Xu et al 2006;Patel and Timol 2009).…”

Section: Introductionmentioning

confidence: 99%

Mathematical model for the peristaltic flow of nanofluid through eccentric tubes comprising porous medium

Nadeem¹,

Riaz²,

Ellahi³

et al. 2013

Appl Nanosci

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Mathematical model for peristaltic flow of nanofluid between eccentric tubes is investigated through a porous medium. Assumptions of long wavelength and low Reynolds number are carried out to observe the intestinal flow. The flow is considered to be unsteady and incompressible. Analytical solutions are evaluated through homotopy perturbation method. The expression of pressure rise is obtained through numerical integration whose data is presented in table. The problems under consideration are made dimensionless to reduce the complication of the analysis and to merge the extra parameters. All the emerging parameters affecting the flow phenomenon are discussed graphically. Trapping bolus scheme is also presented through streamlines for various pertinent quantities.

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Numerical treatment of Powell–Eyring fluid flow using Method of Satisfaction of Asymptotic Boundary Conditions (MSABC)

Cited by 118 publications

References 2 publications

Exponentially Stretching Sheet in a Powell–Eyring Fluid: Numerical and Series Solutions

Exponentially Stretching Sheet in a Powell–Eyring Fluid: Numerical and Series Solutions

Magneto-nanofluid numerical modelling of chemically reactive Eyring-Powell fluid flow towards both flat and cylindrical an inclined surfaces: A comparative study

Mathematical model for the peristaltic flow of nanofluid through eccentric tubes comprising porous medium

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