General Solutions for Magnetohydrodynamic Natural Convection Flow with Radiative Heat Transfer and Slip Condition over a Moving Plate

Vieru, Dumitru; Fetecău, Constantin; Akhter, Shahraz

doi:10.5560/zna.2013-0041

Cited by 33 publications

(25 citation statements)

References 10 publications

(21 reference statements)

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“…-The solution presented in this article is more general and includes the solution corresponding to radiative problem as a special case. This conclusion is also supported by recent papers by Magyari and Pantokratoras [38], Fetecau et al [39], and Vieru et al [40], where it is explicitly shown that an evaluation of the effect of thermal radiation in the linearized Rosseland approximation does not require any additional research effort. Once the problem has been solved for a comprehensive set of values of the Prandtl number in the absence of radiation, it has been automatically solved for the radiative case too.…”

Section: Convergence Of Ham Solution and Its Comparison With A Numerisupporting

confidence: 73%

Hydromagnetic Flow and Heat Transfer of a Jeffrey Fluid over an Oscillatory Stretching Surface

Ali

Khan

Abbas

2015

Zeitschrift Für Naturforschung A

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The flow and heat transfer of a Jeffrey fluid over an oscillatory stretching sheet is investigated using the boundary-layer approximations. The flow is induced due to infinite elastic sheet that is stretched periodically. The number of independent variables in the governing equations was reduced by using appropriate dimensionless variables. This dimensionless system has been solved by using the homotopy analysis method (HAM) and a finite difference scheme, in which a coordinate transformation was used to transform the semi-infinite physical space to a bounded computational domain. A comparison of both solutions is provided. The effects of involved parameters are illustrated through graphs and discussed in detail.

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Section: Convergence Of Ham Solution and Its Comparison With A Numerisupporting

confidence: 73%

Hydromagnetic Flow and Heat Transfer of a Jeffrey Fluid over an Oscillatory Stretching Surface

Ali

Khan

Abbas

2015

Zeitschrift Für Naturforschung A

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“…In the case of no slip on the boundary, our solution (32) together with (34) is identical with the result obtained by Fetecau et al (see [24], Eq. (31) with eff = 0).…”

Section: Newtonian Fluid With/without Slip Conditionsupporting

confidence: 90%

Flows with Slip of Oldroyd-B Fluids over a Moving Plate

Shakeel

Ahmad

Khan

et al. 2016

Advances in Mathematical Physics

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A general investigation has been made and analytic solutions are provided corresponding to the flows of an Oldroyd-B fluid, under the consideration of slip condition at the boundary. The fluid motion is generated by the flat plate which has a translational motion in its plane with a time-dependent velocity. The adequate integral transform approach is employed to find analytic solutions for the velocity field. Solutions for the flows corresponding to Maxwell fluid, second-grade fluid, and Newtonian fluid are also determined in both cases, namely, flows with slip on the boundary and flows with no slip on the boundary, respectively. Some of our results were compared with other results from the literature. The effects of several emerging dimensionless and pertinent parameters on the fluid velocity have been studied theoretically as well as graphically in the paper.

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“…As expected, the velocity field (19) is identical to that obtained by Fetecau et al [13,Eq. (31) with K eff = 0] while the shear stress (20) can be also obtained by introducing Eq.…”

Section: Solution Of the Problemsupporting

confidence: 83%

Flow over an infinite plate of a viscous fluid with non-integer order derivative without singular kernel

Zafar

Fetecău

2016

Alexandria Engineering Journal

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Exact general solutions for the dynamics of an incompressible viscous fluid with noninteger order derivative without singular kernel are established using the integral transforms. These solutions, which are organized in simple forms in terms of exponential and trigonometric functions, can be conveniently engaged to obtain known solutions from the literature. The control of the new non-integer order derivative on the velocity of the fluid moreover a comparative study with an older model, is analyzed for some flows with practical applications. The non-integer order derivative with non-singular kernel is more appropriate for handling mathematical calculations of obtained solutions. It is also more reliable for numerical computations. Ó 2016 Faculty of Engineering, Alexandria University. Production and hosting by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

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General Solutions for Magnetohydrodynamic Natural Convection Flow with Radiative Heat Transfer and Slip Condition over a Moving Plate

Cited by 33 publications

References 10 publications

Hydromagnetic Flow and Heat Transfer of a Jeffrey Fluid over an Oscillatory Stretching Surface

Hydromagnetic Flow and Heat Transfer of a Jeffrey Fluid over an Oscillatory Stretching Surface

Flows with Slip of Oldroyd-B Fluids over a Moving Plate

Flow over an infinite plate of a viscous fluid with non-integer order derivative without singular kernel

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