Mathematical Analysis of Entropy Generation in the Flow of Viscoelastic Nanofluid through an Annular Region of Two Asymmetric Annuli Having Flexible Surfaces

In this manuscript, the authors developed the mathematical model for entropy generation analysis during the peristaltic propulsion of Jeffrey nanofluids passing in a midst of two eccentric asymmetric annuli. The model was structured by implementation of lubrication perspective and dimensionless strategy. Entropy generation caused by the irreversible influence of heat and mass transfer of nanofluid and viscous dissipation of the considered liquid was taken into consideration. The governing equations were handled by a powerful analytical technique (HPM). The comparison of total entropy with the partial entropy was also invoked by discussing Bejan number results. The influence of various associated variables on the profiles of velocity, temperature, nanoparticle concentration, entropy generation and Bejan number was formulated by portraying the figures. Mainly from graphical observations, we analyzed that, in the matter of thermophoresis parameter and Brownian motion parameter, entropy generation is thoroughly enhanced while inverse readings were reported for the temperature difference parameter and the ratio of temperature to concentration parameters.

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Entropy Optimization of Third-Grade Nanofluid Slip Flow Embedded in a Porous Sheet With Zero Mass Flux and a Non-Fourier Heat Flux Model

Frontiers in Physics ◽

10.3389/fphy.2020.00250 ◽

2020 ◽

Vol 8 ◽

Author(s):

K. Loganathan ◽

G. Muhiuddin ◽

A. M. Alanazi ◽

Fehaid S. Alshammari ◽

Bader M. Alqurashi ◽

...

Keyword(s):

Heat Flux ◽

Entropy Generation ◽

Mass Flux ◽

Slip Flow ◽

Porous Plate ◽

Bejan Number ◽

Surface Boundary ◽

Nanoparticle Concentration ◽

Zero Mass ◽

Analysis Scheme

The prime objective of this article is to explore the entropy analysis of third-order nanofluid fluid slip flow caused by a stretchable sheet implanted in a porous plate along with thermal radiation, convective surface boundary, non-Fourier heat flux applications, and nanoparticle concentration on zero mass flux conditions. The governing physical systems are modified into non-linear ordinary systems with the aid of similarity variables, and the outcomes are solved by a homotopy analysis scheme. The impression of certain governing flow parameters on the nanoparticle concentration, temperature, and velocity is illustrated through graphs, while the alteration of many valuable engineering parameters viz. the Nusselt number and Sherwood number are depicted in graphs. Entropy generation with various parameters is obtained and discussed in detail. The estimation of entropy generation using the Bejan number find robust application in power engineering and aeronautical propulsion to forecast the smartness of entire system.

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Entropy Analysis in Double-Diffusive Convection in Nanofluids through Electro-osmotically Induced Peristaltic Microchannel

Entropy ◽

10.3390/e21100986 ◽

2019 ◽

Vol 21 (10) ◽

pp. 986 ◽

Cited By ~ 3

Author(s):

Noreen ◽

Waheed ◽

Hussanan ◽

Keyword(s):

Brownian Motion ◽

Entropy Generation ◽

Volume Fraction ◽

Motion Parameter ◽

Bejan Number ◽

Double Diffusive Convection ◽

Grashof Number ◽

Diffusive Convection ◽

Double Diffusive ◽

Brownian Motion Parameter

A theoretical study is presented to examine entropy generation in double-diffusive convection in an Electro-osmotic flow (EOF) of nanofluids via a peristaltic microchannel. Buoyancy effects due to change in temperature, solute concentration and nanoparticle volume fraction are also considered. This study was performed under lubrication and Debye-Hückel linearization approximation. The governing equations are solved exactly. The effect of dominant hydrodynamic parameters (thermophoresis, Brownian motion, Soret and Dufour), Grashof numbers (thermal, concentration and nanoparticle) and electro-osmotic parameters on double-diffusive convective flow are discussed. Moreover, trapping, pumping, entropy generation number, Bejan number and heat transfer rate were also examined under the influence of pertinent parameters such as the thermophoresis parameter, the Brownian motion parameter, the Soret parameter, the Dufour parameter, the thermal Grashof number, the solutal Grashof number, the nanoparticle Grashof number, the electro-osmotic parameter and Helmholtz–Smoluchowski velocity. The electro-osmotic parameter powerfully affected the velocity profile. The magnitude of total entropy generation increased as the thermophoresis parameter and Brownian motion parameter increased. Soret and the Dufour parameter had a strong tendency to control the temperature profile and Bejan number. The findings of the present analysis can be used in clinical purposes such as cell therapy, drug delivery systems, pharmaco-dynamic pumps and particles filtration.

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Entropy Generation and Natural Convection Flow of Hybrid Nanofluids in a Partially Divided Wavy Cavity Including Solid Blocks

Energies ◽

10.3390/en13112942 ◽

2020 ◽

Vol 13 (11) ◽

pp. 2942 ◽

Cited By ~ 9

Author(s):

Ammar I. Alsabery ◽

Ishak Hashim ◽

Ahmad Hajjar ◽

Mohammad Ghalambaz ◽

Sohail Nadeem ◽

...

Keyword(s):

Entropy Generation ◽

Convection Flow ◽

Hybrid Nanofluid ◽

Bejan Number ◽

The Finite Element Method ◽

Governing Equations ◽

Flow And Heat Transfer ◽

Hybrid Nanofluids ◽

Wavy Cavity ◽

Rayleigh Numbers

The present investigation addressed the entropy generation, fluid flow, and heat transfer regarding Cu-Al 2 O 3 -water hybrid nanofluids into a complex shape enclosure containing a hot-half partition were addressed. The sidewalls of the enclosure are made of wavy walls including cold isothermal temperature while the upper and lower surfaces remain insulated. The governing equations toward conservation of mass, momentum, and energy were introduced into the form of partial differential equations. The second law of thermodynamic was written for the friction and thermal entropy productions as a function of velocity and temperatures. The governing equations occurred molded into a non-dimensional pattern and explained through the finite element method. Outcomes were investigated for Cu-water, Al 2 O 3 -water, and Cu-Al 2 O 3 -water nanofluids to address the effect of using composite nanoparticles toward the flow and temperature patterns and entropy generation. Findings show that using hybrid nanofluid improves the Nusselt number compared to simple nanofluids. In the case of low Rayleigh numbers, such enhancement is more evident. Changing the geometrical aspects of the cavity induces different effects toward the entropy generation and Bejan number. Generally, the global entropy generation for Cu-Al 2 O 3 -water hybrid nanofluid takes places between the entropy generation values regarding Cu-water and Al 2 O 3 -water nanofluids.

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MHD Flow of Cu-Al2O3/Water Hybrid Nanofluid in Porous Channel: Analysis of Entropy Generation

Defect and Diffusion Forum ◽

10.4028/www.scientific.net/ddf.377.42 ◽

2017 ◽

Vol 377 ◽

pp. 42-61 ◽

Cited By ~ 45

Author(s):

Sanatan Das ◽

Rabindra Nath Jana ◽

Oluwole Daniel Makinde

Keyword(s):

Entropy Generation ◽

Mhd Flow ◽

Transverse Magnetic ◽

Porous Channel ◽

Hybrid Nanofluid ◽

Bejan Number ◽

Governing Equations ◽

Transfer Enhancement ◽

Entropy Generation Number ◽

Channel Analysis

In this investigation, a magnetohydrodynamic (MHD) flow of AlO /water nanofluid and Cu-AlO /water hybrid nanofluid through a porous channel is analyzed in the presence of a transverse magnetic field. An exact solution of the governing equations has been obtained in closed form. The entropy generation number and the Bejan number are also obtained. The influences of each of the governing parameters on velocity, temperature, entropy generation and Bejan number are displayed graphically and the physical aspects are discussed. In addition, a comparison of the heat transfer enhancement level due to the suspension of AlO and Cu nanoparticles in water as regular nanofluids and as hybrid Cu-AlO /water nanofluid is reported.

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Numerical Investigation of Entropy Generation in Unsteady MHD Generalized Couette Flow with Variable Electrical Conductivity

The Scientific World JOURNAL ◽

10.1155/2013/364695 ◽

2013 ◽

Vol 2013 ◽

pp. 1-11 ◽

Cited By ~ 6

Author(s):

T. Chinyoka ◽

O. D. Makinde

Keyword(s):

Electrical Conductivity ◽

Couette Flow ◽

Entropy Generation ◽

Fluid Velocity ◽

Bejan Number ◽

Governing Equations ◽

Entropy Generation Number ◽

Thermophysical Parameters ◽

Second Law Analysis ◽

Finite Difference Techniques

The thermodynamic second law analysis is utilized to investigate the inherent irreversibility in an unsteady hydromagnetic generalized Couette flow with variable electrical conductivity in the presence of induced electric field. Based on some simplified assumption, the model nonlinear governing equations are obtained and solved numerically using semidiscretization finite difference techniques. Effects of various thermophysical parameters on the fluid velocity, temperature, current density, skin friction, the Nusselt number, entropy generation number, and the Bejan number are presented graphically and discussed quantitatively.

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Entropy Generation Analysis of a Reactive MHD Third Grade Fluid in a Cylindrical Pipe with Radially Applied Magnetic Field and Hall Current

Asian Research Journal of Mathematics ◽

10.9734/arjom/2019/v12i330086 ◽

2019 ◽

pp. 1-20 ◽

Cited By ~ 1

Author(s):

Y. M. Aiyesimi ◽

M. Jiya ◽

G. A. Bolarin ◽

O. V. Akinremi

Keyword(s):

Magnetic Field ◽

Entropy Generation ◽

Applied Magnetic Field ◽

Third Grade ◽

Bejan Number ◽

Governing Equations ◽

Weighted Residual Method ◽

Hall Parameter ◽

Grade Fluid ◽

Magnetohydrodynamic Fluid

The combined effects of chemical reaction, radially applied magnetic field and Hall effect on entropy generation of a steady third grade magnetohydrodynamic fluid flowing through a uniformly circular pipe was studied. The governing equations are presented and the resulting non-linear dimensionless equations are solved numerically using Galerkin Weighted Residual Method. The velocity, temperature and concentration profile were obtained and utilized in computing the entropy number. A parametric study of germane parameters involved are presented graphically and discussed. It was observed that irreversibility due to heat transfer dominates the flow compared to fluid friction and Hall parameter inhibits the Bejan number while Magnetic parameter enhances the Bejan number.

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Statistical Analysis of the Mathematical Model of Entropy Generation of Magnetized Nanofluid

Inventions ◽

10.3390/inventions4020032 ◽

2019 ◽

Vol 4 (2) ◽

pp. 32 ◽

Cited By ~ 2

Author(s):

Munawwar Ali Abbas ◽

Ibrahim Hussain

Keyword(s):

Mathematical Model ◽

Reynolds Number ◽

Statistical Analysis ◽

Entropy Generation ◽

Concentration Profile ◽

Perturbation Technique ◽

Governing Equations ◽

Friction Forces ◽

Long Wavelength ◽

The Mathematical Model

This investigation introduces a mathematical model of entropy generation for Magnetohydrodynamic (MHD) peristaltic wave of nanofluid. The governing equations have been created by the supposition of low Reynolds number and long wavelength estimation. The scientific arrangement has been procured with the help of perturbation technique. The concentration profile, temperature profile, pressure distribution and friction forces are shown graphically for some important parameters. Further, the eventual outcomes of connection between the entropy generation and some various parameters have been plotted by means of correlation and regression. It is fundamental to find the affectability of each parameter on entropy generation.

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Effect of Uncertainties in Physical Properties on Entropy Generation Between Two Rotating Cylinders With Nanofluids

Journal of Heat Transfer ◽

10.1115/1.4006662 ◽

2012 ◽

Vol 134 (10) ◽

Cited By ~ 41

Author(s):

Omid Mahian ◽

Shohel Mahmud ◽

Saeed Zeinali Heris

Keyword(s):

Physical Properties ◽

Entropy Generation ◽

Base Fluid ◽

Volume Fraction ◽

Bejan Number ◽

Governing Equations ◽

Rotating Cylinders ◽

Viscous Effects ◽

Analytical Expressions ◽

Steady Laminar

In this paper, the effects of uncertainties in physical properties on predicting entropy generation for a steady laminar flow of Al2O3–ethylene glycol nanofluid (0≤φ≤6 %) between two concentric rotating cylinders are investigated. For this purpose, six different models by combining of three relations for thermal conductivity (Bruggeman, Hamilton–Crosser, and Yu–Choi) and two relations for dynamic viscosity (Brinkman and Maiga et al.) are applied. The governing equations with reasonable assumptions in cylindrical coordinates are simplified and solved to obtain analytical expressions for average entropy generation (NS)ave and average Bejan number (Be)ave. The results show that, when the contribution of heat transfer to entropy generation for the base fluid is dominant, a critical radius ratio (ΠC) can be determined at which all six models predict the reduction in entropy generation with increases of volume fraction of nanoparticles. It is also found that, when the contribution of viscous effects to entropy generation is adequately high for the base fluid (φ=0), all models predict the increase of entropy generation with increases of particle loading.

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Generalization of the Convective Flow of Brinkman-Type Fluid Using Fourier’s and Fick’s Laws: Exact Solutions and Entropy Generation

Mathematical Problems in Engineering ◽

10.1155/2020/8896555 ◽

2020 ◽

Vol 2020 ◽

pp. 1-13

Author(s):

Nadeem Ahmad Sheikh ◽

Dennis Ling Chuan Ching ◽

Ilyas Khan ◽

Hamzah bin Sakidin

Keyword(s):

Entropy Generation ◽

Mass Concentration ◽

Special Function ◽

Time Parameter ◽

Convection Flow ◽

Bejan Number ◽

Governing Equations ◽

Free Convection Flow ◽

Fluid Parameter ◽

The Given

A new scheme to formulating the Caputo time-fractional model for the flow of Brinkman-type fluid between the plates was introduced by using the generalized laws of Fourier and Fick. Within a channel, free convection flow of the electrically conducted Brinkman-type fluid was considered. A newly generated transformation was applied to the heat and mass concentration equations. The governing equations were solved by the techniques of Fourier sine and the Laplace transforms. In terms of the special function, namely, the Mittag-Leffler function, final solutions were obtained. The entropy generation and Bejan number are also calculated for the given flow. To explain the conceptual arguments of the embedded parameters, separate plots are represented in figures and are often quantitatively computed and presented in tables. It is worth noting that for increasing the values of the Brinkman-type fluid parameter, the velocity profile decreases. The regression analysis shows that the variation in the velocity for time parameter is statistically significant.

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OHAM analysis for dissipative viscoelastic nanofluid considering entropy generation and activation energy

International Journal of Numerical Methods for Heat &amp Fluid Flow ◽

10.1108/hff-04-2019-0344 ◽

2019 ◽

Vol 29 (12) ◽

pp. 4807-4825 ◽

Cited By ~ 1

Author(s):

M. Mudassar Gulzar ◽

Shagufta Jabeen ◽

Muhammad Waqas ◽

Sabir Ali Shehzad ◽

Tasawar Hayat ◽

...

Keyword(s):

Entropy Generation ◽

Second Grade ◽

Bejan Number ◽

Nonlinear Thermal Radiation ◽

Second Grade Fluid ◽

Content Type ◽

Nonlinear Mixed Convection ◽

Grade Fluid ◽

Viscoelastic Nanofluid ◽

Layer Flow

Purpose The purpose of this study is to scrutinize the effects of entropy generation and nonlinear mixed convection on the boundary layer flow of second grade fluid induced by stretching sheets. Heat transfer effects are accounted in view of viscous dissipation and nonlinear thermal radiation. Design/methodology/approach Optimal homotopic asymptotic method procedure is adopted to obtain the analytical solution of nonlinear ordinary differential equations. Findings It has been noticed that Hartmann and Brinkman number has reverse characteristics against entropy generation and Bejan number. Originality/value To the best of the authors’ knowledge, no such analysis has been reported to date.

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