Natural Convection Flow of Second-Grade Fluid Along a Vertical Heated Surface With Power-Law Temperature

Mustafa, Naeem; Asghar, S.; Hossain, M. A.

doi:10.1080/00986440701569127

Cited by 12 publications

(10 citation statements)

References 24 publications

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“…(20) and (21) together with the boundary conditions given by Eqs. (22) and (23). These equations are solved numerically employing the local non-similarity method as well as implicit finite difference method for values of n in [0, 10].…”

Section: Resultsmentioning

confidence: 99%

“…Since natural convection in viscoelastic fluids has also been investigated because of the applications these materials have in industry and geophysics, very recently, the natural convection flow of a second-grade viscoelastic fluid along a heated, vertical surface has been investigated numerically by Mustafa et al [23]. In this analysis, the local non-similarity method as well as the implicit finite difference method have been employed in finding the values of the physical quantities, such as, the local skin-friction and local heat transfer against the local Deborah number for large Prandtl number fluids.…”

Section: Introductionmentioning

confidence: 99%

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Natural convection flow of second-grade fluid along a vertical heated surface with variable heat flux

Mustafa

Asghar

Hossain

2010

International Journal of Heat and Mass Transfer

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Natural convection flow of second-grade fluid along a vertical heated surface with variable heat flux

Mustafa

Asghar

Hossain

2010

International Journal of Heat and Mass Transfer

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“…Also, the accuracy of the present computational results are compared with the erstwhile studies (Newtonian fluid) of Lee et al for Pr = 0.7,

β = 0, normal italicγ = 0

, and

ε = 0

, and it is found to be in good agreement, which is shown in Figure . Further, to validate the Crank‐Nicolson method for the present study on the non‐Newtonian second‐grade fluid model, the authors considered different physical model on second‐grade fluid and implemented the same Crank‐Nicolson method to get the numerical results for their study. These results are in good agreement with Mustafa et al and shown in Figure .…”

Section: Finite Difference Numerical Solutionmentioning

confidence: 99%

“…Further, to validate the Crank‐Nicolson method for the present study on the non‐Newtonian second‐grade fluid model, the authors considered different physical model on second‐grade fluid and implemented the same Crank‐Nicolson method to get the numerical results for their study. These results are in good agreement with Mustafa et al and shown in Figure . Therefore, it is concluded that confidence in the present Crank‐Nicolson code is justifiably high and that the present numerical results demonstrate sufficiently high accuracy.…”

Section: Finite Difference Numerical Solutionmentioning

confidence: 99%

Computation of entropy generation in dissipative transient natural convective viscoelastic flow

Kumar

Reddy

Kiran³

et al. 2019

Heat Trans. Asian Res.

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Entropy generation is an important aspect of modern thermal polymer processing optimization. Many polymers exhibit strongly non-Newtonian effects and dissipation effects in thermal processing. Motivated by these aspects in this study, a numerical analysis of the entropy generation with viscous dissipation effect in an unsteady flow of viscoelastic fluid from a vertical cylinder is presented. The Reiner-Rivlin physical model of grade 2 (second-grade fluid) is used, which can envisage normal stress variations in polymeric flow-fields. Viscosity variation is included. The obtained governing equations are resolved using implicit finite difference method of Crank-Nicolson type with well imposed initial and boundary conditions. Key control parameters are the second-grade viscoelastic fluid parameter (β), viscosity variation parameter (γ), and viscous dissipation parameter (ε). Also, group parameter (BrΩ −1 ), Grashof number (Gr), and Prandtl number (Pr) are examined. Numerical solutions are presented for steady-state flow variables, temperature, time histories of friction, wall heat transfer rate, entropy, and Bejan curves for distinct values of control parameters.The results specify that entropy generation decreases with augmenting values of β, γ, and Gr. The converse trend is noticed with increasing Pr and BrΩ −1 . Furthermore, the computations reveal that entropy and Bejan lines only occur close to the hot cylinder wall.

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“…Hence, it is not possible to neglect the effect of buoyancy forces for vertical or inclined surfaces. Mustafa et al (2008) investigated numerically the natural convection flow of a second-grade viscoelastic fluid along a heated, vertical surface with power law surface temperature by the implicit finite difference method and observed that the skin friction and surface heat transfer rate increases with increasing value of the temperature gradient for a given value of local Deborah number, while both the local skin friction and local heat transfer rate decrease with increasing Deborah number for a given value of the surface temperature gradient and for a given Prandtl number. Further Mustafa et al (2010) studied the same problem taking the effect of variable heat flux in place of power law surface temperature and obtained that both the local skin-friction and the local Nusselt number decrease with increase in Deborah number whereas, increase in Deborah number reduces the velocity and enhances the temperature.…”

mentioning

confidence: 99%

Heat transfer of convective MHD viscoelastic fluid along a moving inclined plate with power law surface temperature using finite element method

Poonia

Bhargava

2014

Multidiscipline Modeling in Materials and Structures

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Purpose -The purpose of this paper is to deal with the study of free convection magnetohydrodynamic (MHD) boundary layer flow of an incompressible viscoelastic fluid along an inclined moving plate and heat transfer characteristics with prescribed quadratic power-law surface temperature. Design/methodology/approach -The governing partial differential equations are transformed into non-dimensional, non-linear coupled ordinary differential equations which are solved numerically by robust Galerkin finite element method. Findings -Numerical results for the dimensionless velocity and temperature profiles are displayed graphically for various physical parameters such as viscoelasticity, Prandtl number, angle of inclination parameter, magnetic and buoyancy parameter. The local Nusselt number is found to be the decreasing function of magnetic field parameter whereas it increases with increasing values of Prandtl number, viscoelastic parameter and buoyancy parameter. Practical implications -The present problem finds significant applications in MHD power generators, cooling of nuclear reactors, thin film solar energy collector devices. Originality/value -The objective of this work is to analyze the heat transfer of convective MHD viscoelastic fluid along a moving inclined plate with quadratic power law surface temperature. An extensively validated, highly efficient, variation finite element code is used to study this problem. The results are validated and demonstrated graphically.

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Natural Convection Flow of Second-Grade Fluid Along a Vertical Heated Surface With Power-Law Temperature

Cited by 12 publications

References 24 publications

Natural convection flow of second-grade fluid along a vertical heated surface with variable heat flux

Natural convection flow of second-grade fluid along a vertical heated surface with variable heat flux

Computation of entropy generation in dissipative transient natural convective viscoelastic flow

Heat transfer of convective MHD viscoelastic fluid along a moving inclined plate with power law surface temperature using finite element method

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