A note on thin-film flow of Eyring-Powell fluid on the vertically moving belt using successive linearization method

Salah,

doi:10.21833/ijaas.2019.02.004

Cited by 12 publications

(7 citation statements)

References 19 publications

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“…Here successive linearization method (SLM) (Makukula et al, 2010a;2010b;Ahmed et al, 2015;Salah et al, 2019) is implemented to obtain the numerical solutions for nonlinear systems 8 and 10 corresponding to the boundary condition Eqs. 11-13.…”

Section: Procedures Of Computationalmentioning

confidence: 99%

“…Recently some studies have presented a new method called Successive Linearization Method (SLM). This method has been applied successfully in many nonlinear problems in sciences and engineering, such as the MHD flows of non-Newtonian fluids and heat transfer over a stretching sheet (Shafiq et al, 2022), viscoelastic squeezing flow between two parallel plates, (Makukula et al, 2010a), two-dimensional laminar flow between two moving porous walls (Makukula et al, 2010b) and convective heat transfer for MHD boundary layer with pressure gradient (Ahmed et al, 2015), the thin-film flow of Eyring-Powell fluid on the vertically moving belt (Salah et al, 2019). Therefore, the effectiveness, validity, accuracy, and flexibility of the SLM are verified among all these successful applications.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Numerical solution for MHD flow and heat transfer of Maxwell fluid over a stretching sheet

Salah¹,

Alqarni²

2023

Int. j. adv. appl. sci.

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In this article, the numerical solutions for the flow of heat transfer for an incompressible Maxwell fluid on a stretching sheet channel are presented in this study. By applying appropriate transformations, the system of governing partial differential equations is transformed into a system of ordinary differential equations. A successive linearization method (SLM) is used to describe and solve the resulting nonlinear equations numerically using MATLAB software. The main goal of this paper is to compare the results of solving the velocity and temperature equations in the presence of β1 changes through SLM for introducing it as a precise and appropriate method for solving nonlinear differential equations. Tables with the numerical results are created for comparison. This contrast is important because it shows how precisely the successive linearization method can resolve a set of nonlinear differential equations. Non-Newtonian parameters on the flow field, like mixed convection, Hartman, Deborah, and Prandtl numbers, are explored and illustrated graphically. Apart from that, a great deal of agreement has been seen between the current results and the published data that have been evaluated and compared in a limited way.

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Section: Procedures Of Computationalmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Numerical solution for MHD flow and heat transfer of Maxwell fluid over a stretching sheet

Salah¹,

Alqarni²

2023

Int. j. adv. appl. sci.

View full text Add to dashboard Cite

show abstract

“…Here successive linearization method (SLM) (Makukula et al, 2020b;Salah et al, 2019;Ahmed et al, 2015) is implemented to obtain the numerical solutions for nonlinear systems in Eqs. 8 and 10 corresponding to the boundary condition in Eqs.…”

Section: Procedures Of Computationalmentioning

confidence: 99%

“…Recently some studies have shown a new method called the successive linearization method (SLM). This method has been successfully applied to many non-linear problems in science and engineering, such as MHD flows of non-Newtonian fluids and transfer over a stretching sheet (Shateyi and Motsa, 2010), and the viscous pressure-flow between two parallel plates (Makukula et al, 2010a), a two-dimensional plate flowing between two porous walls (Makukula et al, 2010b), on the thin-film flow of Eyring-Powell fluid on the vertically moving belt (Salah et al, 2019) and convective thermal transfer heat to the MHD boundary layer with a pressure gradient (Ahmed et al, 2015). Therefore, this method has shown very high efficiency, accuracy, and flexibility of SLM in solving nonlinear equations.…”

Section: Introductionmentioning

confidence: 99%

Numerical solution for heat transfer of Oldroyd–B fluid over a stretching sheet using successive linearization method

Salah¹

2020

Int. j. adv. appl. sci.

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The objective of this study is to find the numerical solution for the MHD flow of heat transfer to the incompressible Oldroyd-B liquid on a stretching sheet channel. The partial differential equations governing this system are converted into ordinary differential equations using similarity conversion. The resulting nonlinear equations governing the flow problem are numerically solved by the successive line method (SLM). Numerical results are derived and presented in tables for some comparisons. These comparisons are important in demonstrating the high accuracy of SLM in solving the system of nonlinear differential equations. These solutions take into account the behavior of Newtonian and non-Newtonian fluids. It is reported that Deborah number in terms of relaxation time resists and slows down the motion of fluid particles at various time instants. Temperature profile increase by increasing Deborah number in terms of relaxation time. The graphical results of various non-Newtonian parameters such as coefficient of mixed convection, Hartman, Deborah, and Prandtl number on the flow, field, and analysis are also discussed. In addition, the current results were tested and compared to the published results available in a limited manner, and an excellent agreement was reached.

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“…We used the Chebyshev pseudo-spectral approach to solve linear differential equations with higher-order deformation. The SLM methodology can be applied to highly nonlinear system boundary value problems as an alternative to more traditional numerical methods (see references [34][35][36][37][38][39][40][41]).…”

Section: Introductionmentioning

confidence: 99%

Numerical Study for MHD Flow of an Oldroyd-B Fluid Over a Stretching Sheet in the Presence of Thermal Radiation with Soret and Dufour Effects

Sidahmed

2024

Int. J. Anal. Appl.

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This paper investigates the impact of Soret and Dufour's MHD flow of an Oldroyd-B fluid over a stretching sheet in the presence of thermal radiation. By a similarity transformation, the controlling partial differential equations are transformed into a system of nonlinear ordinary differential equations. Using the successive linearization method (SLM), the linear system is solved. A determination and discussion of the impacts of specific fluid parameters on the temperature, concentration distribution, and velocity are presented. As the magnetic field increases, we observe that the temperature and concentration profiles rise, while the velocity profile falls. In addition, increases in the Dufour and Soret levels will also result in an improvement in the temperature and concentration distribution. The validity of the acquired results is tested by comparing them to previously published works, with particular attention paid to the accuracy and convergence of the solution.

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A note on thin-film flow of Eyring-Powell fluid on the vertically moving belt using successive linearization method

Cited by 12 publications

References 19 publications

Numerical solution for MHD flow and heat transfer of Maxwell fluid over a stretching sheet

Numerical solution for MHD flow and heat transfer of Maxwell fluid over a stretching sheet

Numerical solution for heat transfer of Oldroyd–B fluid over a stretching sheet using successive linearization method

Numerical Study for MHD Flow of an Oldroyd-B Fluid Over a Stretching Sheet in the Presence of Thermal Radiation with Soret and Dufour Effects

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