On the thermal analysis of magnetohydrodynamic Jeffery fluid via modern non integer order derivative

Abro, Kashif Ali; Abro, Irfan Ali; Almani, Sikandar; Khan, Ilyas

doi:10.1016/j.jksus.2018.07.012

Cited by 37 publications

(11 citation statements)

References 34 publications

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“…Haq et al [24] were studied CNTs in cylinders with MHD. Abro et al [25] analytically studied MHD Jeffery fluid under the impact of thermal radiation. The others related works can be studied Khan [26][27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Entropy Generation in MHD Flow of Carbon Nanotubes in a Rotating Channel with Four Different Types of Molecular Liquids

Saeed¹,

Shah²,

Dawar³

et al. 2019

IJHT

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The greatest endowment of present-day science is nanofluid. The nanofluid can ready to move unreservedly through smaller scale channels with the spreading of nanoparticles. Because of improved convection between the base fluid surfaces and nanoparticles, the nanosuspensions express high warm conductivity. Additionally, the advantages of suspending nanoparticles in base liquids are expanded warmth limit, surface zone, successful warm conductivity, impact, and collaboration among particles. The point of this examination is to review the imaginative origination of entropy generation in the nanoparticles of single and multi-walled carbon nanotubes are suspended in the four disparate. Kerosene oil is taken as based nanofluids in view of its novel consideration because of their propelled warm conductivities, selective highlights, and applications. The leading equations have been converted to differential equations with the help of suitable variables. the homotopic approach has been utilized to solve the modeled problem. The impact of physical factors are discused in details.

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Section: Introductionmentioning

confidence: 99%

Entropy Generation in MHD Flow of Carbon Nanotubes in a Rotating Channel with Four Different Types of Molecular Liquids

Saeed¹,

Shah²,

Dawar³

et al. 2019

IJHT

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“…1 ν (16) wherew 1 (r, s) andw 2 (r, s) are the image functions of w 1 (r, t) and w 2 (r, t), respectively, and have to satisfy the following conditions:…”

Section: Investigation Of Velocity Fieldmentioning

confidence: 99%

The Role of Fox-H Function in Analytic and Fractional Modeling of Helicity of Cylinder: Fractional Generalized Burger Fluid

2020

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In this paper, the analytic and fractional solutions of governing differential equations for helical flow of cylindrical nature have been presented. The series expansions and Laplace and Hankel transforms are applied to the governing equation of generalized Burger fluid flow for generating gamma functions. The analytical solutions of velocity fields and shear stresses are obtained through Caputo fractional approach. In order to justify the initial and boundary conditions, infinite series are invoked for expressing the analytical results of velocity fields and shear stresses in terms of [Formula: see text] Fox-H function. At the end, few rheological parameters have been analyzed on four different types of models as shown in graphs. Finally, a comparative analysis of ordinary and fractional models has been focussed for angular and oscillating velocities of helical flow generated by circular cylinder.

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“…They solved the second order homogeneous differential equation and generated the gamma function among the solutions of velocities and shears stresses. Although the studies of circular pipe and different fractional approaches can be continuous yet we end here by citing here few recent attempts, for instance, circular cylinder [17][18][19][20][21] and modern fractional differentiations (Caputo, [22][23][24] Caputo-Fabrizio, [25][26][27][28][29][30] Atangana-Baleanu 31,32,34,35 and comparison of Atangana-Baleanu and Caputo-Fabrizio [36][37][38][39][40][41][42] ). Motivating by above significant contribution, our aim is to incorporate the new comparative analysis based on modern fractional differentiation on infinite helically moving pipe.…”

Section: Introductionmentioning

confidence: 99%

Use of Atangana–baleanu Fractional Derivative in Helical Flow of a Circular Pipe

2020

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There is no denying fact that helically moving pipe/cylinder has versatile utilization in industries; as it has multi-purposes, such as foundation helical piers, drilling of rigs, hydraulic simultaneous lift system, foundation helical brackets and many others. This paper incorporates the new analysis based on modern fractional differentiation on infinite helically moving pipe. The mathematical modeling of infinite helically moving pipe results in governing equations involving partial differential equations of integer order. In order to highlight the effects of fractional differentiation, namely, Atangana–Baleanu on the governing partial differential equations, the Laplace and Hankel transforms are invoked for finding the angular and oscillating velocities corresponding to applied shear stresses. Our investigated general solutions involve the gamma functions of linear expressions. For eliminating the gamma functions of linear expressions, the solutions of angular and oscillating velocities corresponding to applied shear stresses are communicated in terms of Fox- H function. At last, various embedded rheological parameters such as friction and viscous factor, curvature diameter of the helical pipe, dynamic analogies of relaxation and retardation time and comparison of viscoelastic fluid models (Burger, Oldroyd-B, Maxwell and Newtonian) have significant discrepancies and semblances based on helically moving pipe.

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On the thermal analysis of magnetohydrodynamic Jeffery fluid via modern non integer order derivative

Cited by 37 publications

References 34 publications

Entropy Generation in MHD Flow of Carbon Nanotubes in a Rotating Channel with Four Different Types of Molecular Liquids

Entropy Generation in MHD Flow of Carbon Nanotubes in a Rotating Channel with Four Different Types of Molecular Liquids

The Role of Fox-H Function in Analytic and Fractional Modeling of Helicity of Cylinder: Fractional Generalized Burger Fluid

Use of Atangana–baleanu Fractional Derivative in Helical Flow of a Circular Pipe

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