Study of magnetic and heat transfer on the peristaltic transport of a fractional second grade fluid in a vertical tube

Hameed, M.; Khan, A. A.; Ellahi, R.; Raza, Mohsin

doi:10.1016/j.jestch.2015.03.004

Cited by 53 publications

(27 citation statements)

References 14 publications

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“…This section gives a few essential characteristics and the knowledge of the conformable fractional calculus theory which can be seen in [48][49][50][51][52][53][54][55].…”

Section: Conformable Fractional Derivativementioning

confidence: 99%

Constructions of the optical solitons and other solitons to the conformable fractional Zakharov–Kuznetsov equation with power law nonlinearity

Alam

Tunç

2019

Journal of Taibah University for Science

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“…This section gives a few essential characteristics and the knowledge of the conformable fractional calculus theory which can be seen in [48][49][50][51][52][53][54][55].…”

Section: Conformable Fractional Derivativementioning

confidence: 99%

Constructions of the optical solitons and other solitons to the conformable fractional Zakharov–Kuznetsov equation with power law nonlinearity

Alam

Tunç

2019

Journal of Taibah University for Science

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“…These materials illustrate shear stress/ strain association which deviate considerably from the conventional Newtonian model i. e Navier-Stokes model. Different models for non-Newtonian materials comprise few adjustments in momentum conservation expressions [1][2][3][4][5][6][7][8][9][10]. Hyperbolic tangent four constants fluid is one of such models which can describe the shear thinning properties.…”

Section: Introductionmentioning

confidence: 99%

A comprehensive note on thermally stratified flow and non-Fourier heat flux theory

et al. 2019

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Original scientific paper https://doi.org/10.2298/TSCI171126140KHere an analysis is presented to investigate the characteristics of non-Fourier flux concept in flow induced by stretching cylinder. Unlike the convectional approach, the heat flux by Cattaneo-Christov theory is considered. Stagnation point flow in the presence of thermal stratification and temperature dependent thermal conductivity is addressed. Rheological properties are examined for hyperbolic tangent material. Theory of the boundary-layer is implemented for the formulation purpose. The relevant transformations yield the strong non-linear differential systems which are numerically computed. Plots are presented for the solution expressions of velocity and temperature. Surface drag force is calculated and discussed. Here velocity and temperature are enhanced for the larger curvature parameter. Larger values of thermal relaxation factor give rise to be decrease in temperature.

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“…This topic has attracted much attention from researchers who focus on the study of partial differential equations during the last few decades. For recent results related to this subject, we refer to some studies by Sohail et al [14], Hameed et al [15], and Khan et al [16,17]. Among a lot of the fractional integral operators growed, the Riemann-Liouville fractional integral operator has been extensively studied, because of applications in many fields of sciences, such as differential equations, differential geometry and physics science.…”

Section: Introductionmentioning

confidence: 99%

Estimation-type results on the k-fractional Simpson-type integral inequalities and applications

Nie

Liu

Zhang

et al. 2019

Journal of Taibah University for Science

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We establish a Simpson-type identity of multiparameter and certain Simpson-type inequalities via k-fractional integrals. Worth mentioning, the obtained inequalities in this article generalize some results presented by Set et al. [Simpson type integral inequalities for convex functions via Riemann-Liouville integrals. Filomat. 2017;31(14):4415-4420] and Sarikaya et al. [On new inequalities of Simpson's type for s-convex functions. Comput Math Appl. 2010;60:2191-2199]. As applications, we also provide several inequalities for f-divergence measures and probability density functions. We expect that this study will be result in the new k-fractional integration explorations for Simpson-type inequalities.

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Study of magnetic and heat transfer on the peristaltic transport of a fractional second grade fluid in a vertical tube

Cited by 53 publications

References 14 publications

Constructions of the optical solitons and other solitons to the conformable fractional Zakharov–Kuznetsov equation with power law nonlinearity

Constructions of the optical solitons and other solitons to the conformable fractional Zakharov–Kuznetsov equation with power law nonlinearity

A comprehensive note on thermally stratified flow and non-Fourier heat flux theory

Estimation-type results on the k-fractional Simpson-type integral inequalities and applications

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