Entropy Generation Analysis for Stagnation Point Flow in a Porous Medium over a Permeable Stretching Surface

Rashidi, M. M.; Mohammadi, Fakhrodin; Abbasbandy, S.; Alhuthali, Mohammed S.

doi:10.18869/acadpub.jafm.67.223.22916

Cited by 53 publications

(34 citation statements)

References 56 publications

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“…The SQLM has been used in a limited number of studies to solve boundary layer flow, heat and mass transfer problems [34]. The physical parameters in this paper are mostly chosen from the literature, for example in the papers [21,26,27,35].…”

Section: Resultsmentioning

confidence: 99%

“…The successive linearization method (SLM) and Chebyshev spectral collocation method are used. Rashidi et al [21] studied entropy generation in nanofluid flow along a permeable stretching surface near the stagnation point with heat generation/absorption and a convective boundary condition. Bhatti et al [22] used the successive linearization method (SLM) to study the entropy generation on non-Newtonian Carreau nanofluid over a shrinking sheet.…”

Section: Introductionmentioning

confidence: 99%

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On Unsteady Three-Dimensional Axisymmetric MHD Nanofluid Flow with Entropy Generation and Thermo-Diffusion Effects on a Non-Linear Stretching Sheet

Almakki

Dey

Mondal

et al. 2017

Entropy

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Abstract:The entropy generation in unsteady three-dimensional axisymmetric magnetohydrodynamics (MHD) nanofluid flow over a non-linearly stretching sheet is investigated. The flow is subject to thermal radiation and a chemical reaction. The conservation equations are solved using the spectral quasi-linearization method. The novelty of the work is in the study of entropy generation in three-dimensional axisymmetric MHD nanofluid and the choice of the spectral quasi-linearization method as the solution method. The effects of Brownian motion and thermophoresis are also taken into account. The nanofluid particle volume fraction on the boundary is passively controlled. The results show that as the Hartmann number increases, both the Nusselt number and the Sherwood number decrease, whereas the skin friction increases. It is further shown that an increase in the thermal radiation parameter corresponds to a decrease in the Nusselt number. Moreover, entropy generation increases with respect to some physical parameters.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On Unsteady Three-Dimensional Axisymmetric MHD Nanofluid Flow with Entropy Generation and Thermo-Diffusion Effects on a Non-Linear Stretching Sheet

Almakki

Dey

Mondal

et al. 2017

Entropy

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show abstract

“…In one statistical interpretation of entropy, it is found that for a very large system in thermodynamic equilibrium, entropy S is proportional to the natural logarithm of a quantity Ω corresponding to S and can be realized; that is, S " KlnΩ, in which K is related to molecular energy. On the other hand, entropy generation analysis [5][6][7][8][9][10][11] is used to optimize the thermal engineering devices for higher energy efficiency; it has attracted wide attention to its applications and rates in recent years. In order to access the best thermal design of systems, by minimizing the irreversibility, the second law of thermodynamics could be employed.…”

Section: Clausius's Entropymentioning

confidence: 99%

A Note on Burg’s Modified Entropy in Statistical Mechanics

Ray¹,

Majumder

2016

Mathematics

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Burg's entropy plays an important role in this age of information euphoria, particularly in understanding the emergent behavior of a complex system such as statistical mechanics. For discrete or continuous variable, maximization of Burg's Entropy subject to its only natural and mean constraint always provide us a positive density function though the Entropy is always negative. On the other hand, Burg's modified entropy is a better measure than the standard Burg's entropy measure since this is always positive and there is no computational problem for small probabilistic values. Moreover, the maximum value of Burg's modified entropy increases with the number of possible outcomes. In this paper, a premium has been put on the fact that if Burg's modified entropy is used instead of conventional Burg's entropy in a maximum entropy probability density (MEPD) function, the result yields a better approximation of the probability distribution. An important lemma in basic algebra and a suitable example with tables and graphs in statistical mechanics have been given to illustrate the whole idea appropriately.

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“…In such studies, monitoring the entropy generation is crucial in characterizing such systems . The entropy generation defines irreversibility and accounts for energy losses . As a consequence, by controlling entropy generation, the performance of engineering systems can be enhanced.…”

Section: Introductionmentioning

confidence: 99%

A model for entropy generation in stagnation‐point flow of non‐Newtonian Jeffrey, Maxwell, and Oldroyd‐B nanofluids

Almakki

Nandy²,

Mondal

et al. 2018

Heat Trans. Asian Res.

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We present a generalized model to describe the flow of three non‐Newtonian nanofluids, namely, Jeffrey, Maxwell, and Oldroyd‐B nanofluids. Using this model, we study entropy generation and heat transfer in laminar nanofluid boundary‐layer stagnation‐point flow. The flow is subject to an external magnetic field. The conventional energy equation is modified by the incorporation of nanoparticle Brownian motion and thermophoresis effects. A hydrodynamic slip velocity is used in the initial condition as a component of the stretching velocity. The system of nonlinear equations is solved numerically using three different methods, a spectral relaxation method, spectral quasilinearization method, and the spectral local linearization method, first to determine the most accurate of these methods, and second as a measure to validate the numerical simulations. The residual errors for each method are presented. The numerical results show that the spectral relaxation method is the most accurate of the three methods, and this method is used subsequently to solve the transport equations and thus to determine the empirical impact of the physical parameters on the fluid properties and entropy generation.

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Entropy Generation Analysis for Stagnation Point Flow in a Porous Medium over a Permeable Stretching Surface

Cited by 53 publications

References 56 publications

On Unsteady Three-Dimensional Axisymmetric MHD Nanofluid Flow with Entropy Generation and Thermo-Diffusion Effects on a Non-Linear Stretching Sheet

On Unsteady Three-Dimensional Axisymmetric MHD Nanofluid Flow with Entropy Generation and Thermo-Diffusion Effects on a Non-Linear Stretching Sheet

A Note on Burg’s Modified Entropy in Statistical Mechanics

A model for entropy generation in stagnation‐point flow of non‐Newtonian Jeffrey, Maxwell, and Oldroyd‐B nanofluids

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