Entropy generation in dissipative flow of Williamson fluid between two rotating disks

Qayyum, Sumaira; Khan, M. Ijaz; Hayat, Tasawar; Alsaedi, Ahmed; Tamoor, Muhammad

doi:10.1016/j.ijheatmasstransfer.2018.08.034

Cited by 146 publications

(39 citation statements)

References 41 publications

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“…The governing Entropy equation for the modeled problem can be formulated as followed, (see for example Wang et al [37], Qayyum et al [39] and Khan et al [40]),…”

Section: Mathematical Modeling For Entropy Generationmentioning

confidence: 99%

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Entropy Generation and Consequences of Binary Chemical Reaction on MHD Darcy–Forchheimer Williamson Nanofluid Flow Over Non-Linearly Stretching Surface

Rasool

Zhang

Chamkha

et al. 2019

Entropy

203

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The current article aims to present a numerical analysis of MHD Williamson nanofluid flow maintained to flow through porous medium bounded by a non-linearly stretching flat surface. The second law of thermodynamics was applied to analyze the fluid flow, heat and mass transport as well as the aspects of entropy generation using Buongiorno model. Thermophoresis and Brownian diffusion is considered which appears due to the concentration and random motion of nanoparticles in base fluid, respectively. Uniform magnetic effect is induced but the assumption of tiny magnetic Reynolds number results in zero magnetic induction. The governing equations (PDEs) are transformed into ordinary differential equations (ODEs) using appropriately adjusted transformations. The numerical method is used for solving the so-formulated highly nonlinear problem. The graphical presentation of results highlights that the heat flux receives enhancement for augmented Brownian diffusion. The Bejan number is found to be increasing with a larger Weissenberg number. The tabulated results for skin-friction, Nusselt number and Sherwood number are given. A decent agreement is noted in the results when compared with previously published literature on Williamson nanofluids.

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“…The governing Entropy equation for the modeled problem can be formulated as followed, (see for example Wang et al [37], Qayyum et al [39] and Khan et al [40]),…”

Section: Mathematical Modeling For Entropy Generationmentioning

confidence: 99%

“…Reportedly, the larger Rayleigh number results in enhancement of entropy generation. Sumaira et al [39] reported the prospects of entropy generation in Williamson nanofluids incorporating a model involving two rotating disks. Entropy generation is calculated through second law of thermodynamics.…”

Section: Introductionmentioning

confidence: 99%

Entropy Generation and Consequences of Binary Chemical Reaction on MHD Darcy–Forchheimer Williamson Nanofluid Flow Over Non-Linearly Stretching Surface

Rasool

Zhang

Chamkha

et al. 2019

Entropy

203

View full text Add to dashboard Cite

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“…3 . Hayat et al [4] and Qayyum et al [5] worked on entropy generation during heat transfer of Williamson nanofluid due to stretching sheet and rotating disks respectively. Some more studies regarding non-Newtonian fluids can be seen through Refs.…”

Section:  mentioning

confidence: 99%

Novel aspects of Soret and Dufour in entropy generation minimization for Williamson fluid flow

et al. 2019

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Soret and Dufour effects on MHD flow of Williamson fluid between two rotating disks are examined. Impacts of stratification, viscous dissipation and activation energy are also considered. Bejan number and entropy generation for stratified flow is discussed. The governing PDE's are converted into ODE's by using Von Kármán transformations. Convergent solution of complicated ODE's is found by homotopic procedure. The results of physical quantities are discussed through plots and numerical values. It is noted that axial and radial velocities are more for greater Weissenberg number. Temperature and concentration profiles are decreasing functions of thermal and solutal stratification parameters respectively. Entropy and Bejan number show the opposite trends for higher Weissenberg number and Brinkman number. .pk (S. Qayyum)Corresponding author Tel.: +92 51 90642172. It is known fact that mass transfer in mixture exists in view of species concentration difference. These species of different concentration transport themselves in a mixture from a higher concentration region to lower concentration region. Moreover, activation energy is minimum quantity of energy which must possessed by reactants before occurrence of specified chemical reaction. The process followed by chemical reaction with activation energy to mass transfer is usually used in food processing, geothermal reservoirs, chemical engineering etc. Convected binary mixture flow in a porous space with activation energy is investigated by Bestman   .Unsteady radiative flow in presence of chemical reaction is discussed by Makinde et al.   19 . Unsteady rotating flow with activation energy and chemical reaction is described by Awad et al.

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“…Recently, Liu et al elaborated irreversibilities in electromagnetohydrodynamic (EMHD) flow through curved channel. Flow of Williamson fluid by rotating disk with entropy generation is analyzed by Qayyum et al Akbarzadeh et al explained irreversibilities in a turbulent nanofluid flow by considering solar stoves through crenelated absorber plates. Bizhaem and Abbassi deliberated heat exchange and irreversibilities for laminar flow in helical tube.…”

Section: Introductionmentioning

confidence: 99%

Entropy generation in nanofluid flow of Walters‐B fluid with homogeneous‐heterogeneous reactions

Qayyum

Hayat

Jabeen

et al. 2020

Math Methods in App Sciences

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Research on optimization of entropy generation in nanofluid flow gained much interest. In this study, the Walter's-B nanofluid flow is considered to analyze the irreversibility in cubic autocatalysis. Fluid motion is considered in presence of viscous dissipation, magnetohydrodynamics (MHD), radiation, and heat generation absorption. Homotopy analysis method (HAM) is employed to solve nonlinear ordinary differential system. Results show that fluid flow reduces for larger Weissenberg and Hartman numbers. Temperature gradually enhances for larger Weissenberg number and radiation parameter. For higher estimation of thermophoresis parameter, the temperature and concentration are enhanced. Opposite impact of Hartman and Weissenberg numbers is noticed for entropy generation and Bejan number. Disorderedness and Bejan number are reduced near the sheet, while the opposite trend is seen away from the sheet.

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Entropy generation in dissipative flow of Williamson fluid between two rotating disks

Cited by 146 publications

References 41 publications

Entropy Generation and Consequences of Binary Chemical Reaction on MHD Darcy–Forchheimer Williamson Nanofluid Flow Over Non-Linearly Stretching Surface

Entropy Generation and Consequences of Binary Chemical Reaction on MHD Darcy–Forchheimer Williamson Nanofluid Flow Over Non-Linearly Stretching Surface

Novel aspects of Soret and Dufour in entropy generation minimization for Williamson fluid flow

Entropy generation in nanofluid flow of Walters‐B fluid with homogeneous‐heterogeneous reactions

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