Analytical study of Cattaneo–Christov heat flux model for a boundary layer flow of Oldroyd-B fluid

Abbasi, F. M.; Mustafa, M.; Shehzad, Sabir Ali; Alhuthali, Mohammed S.; Hayat, Tasawar

doi:10.1088/1674-1056/25/1/014701

Cited by 67 publications

(30 citation statements)

References 33 publications

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“…The investigation of the heat transfer in a fluid governed by Cattaneo-Christov heat flux model is expanding. Some of the work done are shown in [8][9][10][11].…”

Section: Fig 1: Geometry Representation Of the Fluidmentioning

confidence: 99%

Upper-convected Maxwell fluid analysis over a horizontal wedge using Cattaneo-Christov heat flux model

et al. 2021

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Boundary layer flow of Upper-Convected Maxwell fluid over a wedge with suction and heat generation/absorption is presented in this paper by considering the Cattaneo-Christov heat flux model. The governed equations are transformed into a set of the ordinary differential equation using similarity transformations. A third-order finite difference method for the ordinary differential equation is used to find the local similarity solutions of the problems. The effects of the wedge angle parameter, viscoelastic fluid parameter, thermal relaxation time parameter, and heat generation/absorption parameter are presented in this study.

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“…The investigation of the heat transfer in a fluid governed by Cattaneo-Christov heat flux model is expanding. Some of the work done are shown in [8][9][10][11].…”

Section: Fig 1: Geometry Representation Of the Fluidmentioning

confidence: 99%

Upper-convected Maxwell fluid analysis over a horizontal wedge using Cattaneo-Christov heat flux model

et al. 2021

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“…The salient characteristics of such fluids cannot be described through a constitutive relationship. Therefore, various flow models [1][2][3][4][5][6][7][8][9] have been presented in past decades to analyze significance characteristics of non-Newtonian fluids.…”

Section: Introductionmentioning

confidence: 99%

Numerical computations on flow and heat transfer of Casson fluid due to oscillatory moving surface

et al. 2019

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A numerical study of unsteady hydromagnetic flow of Casson liquid passed through the oscillatory moving surface is presented. The interaction of radiation term is reported in the energy equation. The flow is generated by the rapid movement of elastic surface that stretched back and forth periodically. The number of variables is reduced by introducing dimensionless variables. An implicit technique developed on finite difference algorithm is implemented to the system of PDE. The impact of various parameters like Casson liquid parameter, the oscillation frequency and stretching rate ratio, Hartmann number and effective Prandtl number are shown through various graphs. The observation indicates that the amplitude of the velocity declines by enhancing Casson liquid parameter, oscillation frequency and stretching rate ratio and Hartmann number. The temperature declines by increasing Casson fluid parameter and effective Prandtl number. The results also indicate that the time-series of local Nusselt number increases by enhancing effective Prandtl number.

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“…They proved that when the suction/injection parameter rises, then the velocity of the fluid abates strikingly along the u component of velocity, whereas the converse behavior is computed for the v component of velocity. Abbasi and colleagues studied the Cattaneo–Christov heat flux model for a laminar boundary layer flow of an incompressible Oldroyd‐B fluid over a linearly stretching sheet. They reported that the temperature and the thermal boundary layer thickness are smaller in the Cattaneo–Christov heat flux model than those in Fourier's law of heat conduction.…”

Section: Introductionmentioning

confidence: 99%

Radiative nanofluid flow and heat transfer between parallel disks with penetrable and stretchable walls considering Cattaneo–Christov heat flux model

Dogonchi

Chamkha

Seyyedi

et al. 2018

Heat Trans. Asian Res.

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In this work, we explore the unsteady squeezing flow and heat transfer of nanofluid between two parallel disks in which one of the disks is penetrable and the other is stretchable/shrinkable, in the presence of thermal radiation and heat source impacts, and considering the Cattaneo–Christov heat flux model instead of the more conventional Fourier's law of heat conduction. A similarity transformation is utilized to transmute the governing momentum and energy equations into nonlinear ordinary differential equations with the proper boundary conditions. The achieved nonlinear ordinary differential equations are solved by the Duan–Rach Approach (DRA). This method modifies the standard Adomian Decomposition Method by evaluating the inverse operators at the boundary conditions directly. The impacts of diverse active parameters, such as the suction/injection parameter, the solid volume fraction, the heat source parameter, the thermal relaxation parameter, and the radiation parameter on flow and heat transfer traits are examined. In addition, the value of the Nusselt number is calculated and portrayed through figures.

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Analytical study of Cattaneo–Christov heat flux model for a boundary layer flow of Oldroyd-B fluid

Cited by 67 publications

References 33 publications

Upper-convected Maxwell fluid analysis over a horizontal wedge using Cattaneo-Christov heat flux model

Upper-convected Maxwell fluid analysis over a horizontal wedge using Cattaneo-Christov heat flux model

Numerical computations on flow and heat transfer of Casson fluid due to oscillatory moving surface

Radiative nanofluid flow and heat transfer between parallel disks with penetrable and stretchable walls considering Cattaneo–Christov heat flux model

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