Entropy generation analysis of the revised Cheng-Minkowycz problem for natural convective boundary layer flow of nanofluid in a porous medium

Rashidi, Majid; Parsa, Amir Basiri; Shamekhi, Leila; Momoniat, E.

doi:10.2298/tsci15s1s69r

Cited by 9 publications

(4 citation statements)

References 16 publications

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“…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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Section: Clausius's Entropymentioning

confidence: 99%

A Note on Burg’s Modified Entropy in Statistical Mechanics

Ray¹,

Majumder

2016

Mathematics

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“…Recent trends in non-Newtonian ferrofluids have led to develop a new innovative class of heat transfer called nanofluids created by dispersing nanoparticles in traditional heat transfer fluids. In fact ferrofluids are non-conducting stable suspensions of colloidal ferromagnetic particles, with typical dimensions of about 10 to100 nm, dispersed in nanofluid [7][8][9][10][11][12][13][14][15]. These colloidal particles are coated with surfactants to avoid their agglomeration.…”

Section: Introductionmentioning

confidence: 99%

Mixed convection flow and heat transfer in ferromagnetic fluid over a stretching sheet with partial slip effects

et al. 2018

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The 2-D steady boundary layer mixed convection flow and heat transfer in ferromagnetic fluid over a stretching sheet is investigated. Velocity slip is taken into account. The governing partial differential equations are first transformed into the non-linear ordinary coupled differential equation using a similarity transformation and then solved numerically by Runge-Kutta-Fehlberg method. The role of local skin friction, heat transfer rate, ferromagnetic-interaction parameter, slip parameter and the buoyancy parameter on velocity and temperature profiles inside the boundary layers are examined through tables and graphically. Finally a comparison is also made with the existing literature and found in good agreement.

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“…Several investigators studied in free convective boundary layer under various geometries which include permeable vertical cone by Rashad et al (2011), over a horizontal plate by Gorla MHD natural convective flow of nanofluids and Chamkha (2011) and over convectively heated vertical plate by Aziz and Khan (2012); also, Nield and Kuznetsov (2009) investigated the Cheng-Minkowycz problem for natural convective boundary-layer flow in a porous medium saturated by a nanofluid. Recently by adopting analytical method, revised Cheng-Minkowycz problem for natural convective boundary layer flow of nanofluid in porous medium is investigated by Rashidi et al (2015). The detailed reviews on convective transport in nanofluids have been presented in Abu as well as in the text books by Nield and Bejan (2013) and Ingham and Pop (2005).…”

Section: Introductionmentioning

confidence: 99%

MHD natural convective flow of nanofluids past stationary and moving inclined porous plate considering temperature and concentration gradients with suction

Thumma¹,

Chamkha

Sheri

2017

HFF

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Purpose-This paper aims to focus on the mathematical modeling of magnetohydrodynamic natural convective boundary layer flow of nanofluids past a stationary and moving inclined porous plate considering temperature and concentration gradients with suction effects. Design/methodology/approach-The transformed non-dimensional and coupled governing partial differential equations are solved numerically using the finite element method. Findings-The obtained numerical results for physical governing parameters on the velocity, temperature and concentration distributions are exemplified graphically and presented quantitatively. The boundary layer thickness increased with the increasing values of Soret, Dufour and Grashof numbers, while the thickness of boundary layer decreased with increasing values of suction for both stationary and moving plate cases. The primary and secondary velocity profiles are decreasing with an angle of inclination for moving plate and inclination has no significant effect for the stationary plate. An increase of the Soret number and Dufour number tend to increase the heat and mass transfer, while an increase of suction reduces the heat and mass transfer. Originality/value-The problem is an important contribution to the field of nanofluid science and technology and is relevant to high temperature rotating chemical engineering systems exploiting magnetized nanofluids. This study is relatively original in nanofluids.

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Entropy generation analysis of the revised Cheng-Minkowycz problem for natural convective boundary layer flow of nanofluid in a porous medium

Cited by 9 publications

References 16 publications

A Note on Burg’s Modified Entropy in Statistical Mechanics

A Note on Burg’s Modified Entropy in Statistical Mechanics

Mixed convection flow and heat transfer in ferromagnetic fluid over a stretching sheet with partial slip effects

MHD natural convective flow of nanofluids past stationary and moving inclined porous plate considering temperature and concentration gradients with suction

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