Unsteady natural convection boundary layer heat transfer of fractional Maxwell viscoelastic fluid over a vertical plate

Zhao, Jinhu; Zheng, Liancun; Zhang, Xinxin; Liu, Fawang

doi:10.1016/j.ijheatmasstransfer.2016.02.059

Cited by 120 publications

(45 citation statements)

References 24 publications

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“…The 1 scheme does not depend on the particular choice of discretization or on the values of fractional order . The technique has been successfully applied on various models and obtained significant results; see, for example, [3,53] and references therein. The 1 scheme is best suited for the problems of the type considered in this manuscript.…”

Section: Methodsmentioning

confidence: 99%

Mixed Convection Magnetohydrodynamics Flow of a Nanofluid with Heat Transfer: A Numerical Study

Khan

Rasheed

2019

Mathematical Problems in Engineering

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In this paper we have studied the magnetohydrodynamic (MHD) mixed convection Maxwell flow of an incompressible nanofluid with magnetic field and heat transfer over a moving plate aligned horizontally. Thermal radiation has also been applied in order to investigate its effects on velocity and temperature variations in the fluid. The Caputo time derivative has been employed to derive the mathematical model. A numerical solution has been obtained using finite difference discretization along with L1-algorithm. Fractional and other pertinent physical fluid parameters like magnetic field parameter, thermal radiation, effect on velocity, and temperature distribution are analyzed and demonstrated through graphs.

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Section: Methodsmentioning

confidence: 99%

Mixed Convection Magnetohydrodynamics Flow of a Nanofluid with Heat Transfer: A Numerical Study

Khan

Rasheed

2019

Mathematical Problems in Engineering

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“…Zhao et al demonstrated unsteady viscoelastic boundary layer fluid heat transfer and flow of Maxwell fluid over a vertical plate and concluded that the values of rates of velocity and rates of heat transfer rise with the improving values of fractional number ( α ). Zhao et al analyzed the sway of Dufour and Soret effects on MHD flow, heat and mass transfer characteristics of Maxwell fluid.…”

Section: Introductionmentioning

confidence: 99%

Effect of SWCNTs and MWCNTs Maxwell MHD nanofluid flow between two stretchable rotating disks under convective boundary conditions

Sreedevi¹,

Reddy²

2019

Heat Trans. Asian Res.

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The aim of the current analysis is to investigate heat and mass transfer characteristics of single and multi-walled water-based carbon nanotubes Maxwell nanofluid flow between continuously rotating stretchable disks under the sway of chemical reaction and radiation. Boundary conditions of the convective type of temperature are employed at both lower and upper rotating disks in the preparation. Similarity variables are employed to transform the governing partial differential equations into the nonlinear ordinary differential equations. The computational finite element method is applied to solve this nonlinear system of equations along with boundary conditions. The sway of different admissible parameters on the profiles of concentration, temperature, and velocity are inspected and revealed through graphs. Furthermore, the numerical solutions for rates of temperature, concentration, and rates of velocity are depicted in tabular form. It is revealed that temperature sketches deteriorate with augmented values of Deborah number at both upper and lower disks of single-walled carbon nanotubes and multi-walled carbon nanotubes with water-based Maxwell nanofluids. K E Y W O R D S carbon nanotubes, chemical reaction, convective boundary conditions, finite element method, Maxwell nanofluids, thermal radiation

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“…Fractional calculus is a fertile field for researchers to study very important real phenomena in many fields like physics, engineering, biology, and so forth [20][21][22][23][24][25][26][27][28][29][30]. The fractional differential equations are naturally related to systems with memory.…”

Section: Introductionmentioning

confidence: 99%

“…The Riemann-Liouville and Caputo approaches are the most widely used in applications [21,22,29,31]. The fractional derivative is defined via the fractional integral operator.…”

Section: Introductionmentioning

confidence: 99%

Fractional‐Order Model of Two‐Prey One‐Predator System

Elettreby

Al-Raezah

Nabil

2017

Mathematical Problems in Engineering

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We propose a fractional-order model of the interaction within two-prey and one-predator system. We prove the existence and the uniqueness of the solutions of this model. We investigate in detail the local asymptotic stability of the equilibrium solutions of this model. Also, we illustrate the analytical results by some numerical simulations. Finally, we give an example of an equilibrium solution that is centre for the integer order system, while it is locally asymptotically stable for its fractional-order counterpart.

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Unsteady natural convection boundary layer heat transfer of fractional Maxwell viscoelastic fluid over a vertical plate

Cited by 120 publications

References 24 publications

Mixed Convection Magnetohydrodynamics Flow of a Nanofluid with Heat Transfer: A Numerical Study

Mixed Convection Magnetohydrodynamics Flow of a Nanofluid with Heat Transfer: A Numerical Study

Effect of SWCNTs and MWCNTs Maxwell MHD nanofluid flow between two stretchable rotating disks under convective boundary conditions

Fractional‐Order Model of Two‐Prey One‐Predator System

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