Fractional boundary layer flow and radiation heat transfer of MHD viscoelastic fluid over an unsteady stretching surface

Shen, Bingyu; Zheng, Liancun; Chen, Shengting

doi:10.1063/1.4934796

Cited by 18 publications

(6 citation statements)

References 20 publications

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“…Megahed [28] made used of Maxwell model for exploring viscoelastic flow due to an unsteadily stretching surface subjected to variable heat flux. Later on, non-Newtonian fluid flows triggered by stretching action of the surface with time-dependent rate were reported by different authors including Shen et al [29], Naganthran et al [30], Shah et al [31], Rafiq et al [32], Ahmad et al [33], Sindhu and Gireesha [34], Abbas et al [35] etc.…”

Section: Introductionmentioning

confidence: 98%

Analytical solution for unsteady Walters-B fluid flow by a deforming surface with acceleration using OHAM based package BVPh2.0

Malik,

Mustafa

2023

Phys. Scr.

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Current study aims at simulating fluid flow due to a deformable heated surface in an otherwise static viscoelastic fluid obeying Walters-B model. Velocity of the surface is supposed to grow as time from its initiation of motion progress. Simulations in this work are based on the assumption of quadratic surface temperature distribution. Temperature rise attributed to the frictional heating effect is accounted for in the analysis. By choosing appropriate base functions, homotopy solutions are developed for reasonably large values of material fluid parameter. Reliability of the analytical results is established by computing averaged squared residual of the system. The contributions of the surface acceleration and elasticity on the boundary layer formation are enlightened through the plots of velocity components and temperature. Skin friction measuring the stress experienced by the surface is evaluated and examined under different controlling parameters. The paper also presents a numerical solution using NDSolve of MATHEMATICA in a special case of steady flow, and such solution agrees very well with the corresponding homotopy solution.

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Section: Introductionmentioning

confidence: 98%

Analytical solution for unsteady Walters-B fluid flow by a deforming surface with acceleration using OHAM based package BVPh2.0

Malik,

Mustafa

2023

Phys. Scr.

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“…The fractional differential equations may introduce these phenomena more precise than classic modeling. Therefore, the fractional differential equations were used in engineering, physics, chemistry, biology, and other fields (Podlubny 1999;Chen et al 2015;Shen et al 2015). In general, the area of fractional calculus has fast progress and many proposed applications in different science and engineering branches.…”

Section: Introductionmentioning

confidence: 99%

An approximate similarity solution for spatial fractional boundary-layer flow over an infinite vertical plate

2020

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In this paper, an approximate similarity solution of a fractional laminar boundary layer of viscous fluid flow over an infinite vertical plate has been presented. We introduce new fractional similarity transformations to convert the partial differential equation into a similarity ordinary differential equation with a fractional context. The viscous term of the flow momentum equation is written based on the Caputo fractional derivative. The proposed analytical solution has been developed using fractional power-series technique, and the convergence of the solution has been examined. The velocity distributions with the similarity variable are plotted against different values of the fractional order to illustrate the effects of fractional argument on the velocity behavior.

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“…Temperature variation in MHD flow of power law fluid induced by a non-isothermal stretching boundary was described by Prasad and Vajravelu (2009). In recent past, abundant material concerning MHD flows around flat plate/surfaces has been published (Zheng et al , 2012; Shen et al , 2015; Mustafa et al , 2015a, 2015b; Raju and Sandeep, 2016; Pop et al , 2016; Hsiao, 2016; Mushtaq et al , 2016a, 2016b; Hsiao, 2017a, 2017b, 2017c; Tian et al , 2017; Hsiao, 2017a, 2017b, 2017c; Mustafa et al , 2017a, 2017b; Reddy et al , 2017 and various refs. there in).…”

Section: Introductionmentioning

confidence: 99%

Analytical and numerical approaches for Falkner–Skan flow of MHD Maxwell fluid using a non-Fourier heat flux model

Abbasbandy

Mustafa

2018

HFF

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Purpose This paper aims to describe the laminar flow of Maxwell fluid past a non-isothermal rigid plate with a stream wise pressure gradient. Heat transfer mechanism is analyzed in the context of non-Fourier heat conduction featuring thermal relaxation effects. Design/methodology/approach Flow field is permeated to uniform transverse magnetic field. The governing transport equations are changed to globally similar ordinary differential equations, which are tackled analytically by homotopy analysis technique. Homotopy analysis method-Padè approach is used to accelerate the convergence of homotopy solutions. Also, numerical approximations are made by means of shooting method coupled with fifth-order Runge-Kutta method. Findings The solutions predict that fluid relaxation time has a tendency to suppress the hydrodynamic boundary layer. Also, heat penetration depth reduces for increasing values of thermal relaxation time. The general trend of wall temperature gradient appears to be similar in Fourier and Cattaneo–Christov models. Research limitations/implications An important implication of current research is that the thermal relaxation time considerably alters the temperature and surface heat flux. Originality/value Current problem even in case of Newtonian fluid has not been attempted previously.

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Fractional boundary layer flow and radiation heat transfer of MHD viscoelastic fluid over an unsteady stretching surface

Cited by 18 publications

References 20 publications

Analytical solution for unsteady Walters-B fluid flow by a deforming surface with acceleration using OHAM based package BVPh2.0

Analytical solution for unsteady Walters-B fluid flow by a deforming surface with acceleration using OHAM based package BVPh2.0

An approximate similarity solution for spatial fractional boundary-layer flow over an infinite vertical plate

Analytical and numerical approaches for Falkner–Skan flow of MHD Maxwell fluid using a non-Fourier heat flux model

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