Numerical study of nonlinear mixed convection inside stagnation-point flow over surface-reactive cylinder embedded in porous media

Hong, Kun; Alizadeh, Rasool; Ardalan, Mostafa Valizadeh; Nourbakhsh, Amireh; Karimi, Nader; Yang, Yang; Xiong, Qingang

doi:10.1007/s10973-019-09245-x

Cited by 19 publications

(3 citation statements)

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“…Also, the skin friction coefficient is higher for the no-slip condition compared to that of with slip condition. Hong et al [17] did a study regarding numerical study of nonlinear mixed convection inside stagnationpoint flow over surface-reactive cylinder embedded in porous media. The study reveals that the porous system deviates from local thermal equilibrium at higher Reynolds numbers and mixed convection parameters.…”

Section: Introductionmentioning

confidence: 99%

Stagnation-point flow and heat transfer over an exponentially shrinking/stretching sheet in porous medium with heat generation

Hakim,

Rosali,

Johari

2023

Math. Model. Comput.

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This study seeks to examine the fluid flow at the stagnation point over an exponentially shrinking and stretching sheet in a porous medium. This study also investigates the heat transfer rate in the presence of heat generation. By using the appropriate similarity transformation, we obtained ordinary differential equations (ODEs) that are reduced from the governing system of partial differential equations (PDEs). These resulting equations are subjected to new boundary conditions and solved numerically by using BVP4C in MATLAB software. The effects of the parameters involved in this study are summarized and thoroughly discussed: the skin friction coefficient, local Nusselt number, velocity profile, and temperature profile obtained. The analysis is done by using graphical and tabular data. The observed parameters are the permeability parameter K and the heat generation parameter Q towards shrinking/stretching parameter λ. It is found that a dual solution exists for λ<0 (shrinking case), whereas the solution is unique for λ>0 (stretching case). The analysis reveals that with heat generation being increased, the skin friction coefficient is constant. However, it increases when permeability increases. The local Nusselt number decreases with heat generation being increased. However, it increases when the permeability increases.

show abstract

Section: Introductionmentioning

confidence: 99%

Stagnation-point flow and heat transfer over an exponentially shrinking/stretching sheet in porous medium with heat generation

Hakim,

Rosali,

Johari

2023

Math. Model. Comput.

View full text Add to dashboard Cite

show abstract

“…Alizadeh et al [45] investigated the forced convection of heat fow past cylinders impinging in porous media. Hong et al [46] investigated the nonlinear mixed convection of heat in a stagnation-point fow past a solid cylinder inserted in a porous medium. More work regarding the convective fow in porous media and its impacts is found in [2,12,13].…”

Section: Introductionmentioning

confidence: 99%

Stagnation Point Flow of $CoF e_{2} Duguma, Makinde, Enyadene 2023Journal of Engineering6000View full text Add to dashboard CiteMounting temperatures in electronic devices during operation may damage sensitive internal components if too much thermal energy accumulates inside the system. The advent of an innovative ultrahigh-performance thermal management technology known as nanofluid has provided a veritable platform to improve the system performance and reliability by removing the high heat flux generated in the engineering and industrial devices. This paper examines the combined effects of Darcy–Forchheimer porous medium-resistant heating and viscous dissipation on stagnation point flow of a Casson nanofluid (

CoF

e

2

O

4

-

H

2

O

and

Ti

O

2

-

H

2

O

) towards a convectively heated slippery stretching/shrinking cylindrical surface in a porous medium. The governing nonlinear model equations are obtained, analysed, and tackled numerically via the shooting technique with the Runge–Kutta–Fehlberg integration scheme. A unique solution is obtained when the surface is stretching. For shrinking cylindrical surface, the model exhibits nonunique dual solutions for a defined range of parameter values, and a temporal stability analysis is conducted to ascertain the stable and physically achievable solution. The effects of emerging thermophysical parameters on the overall flow structure and thermal management such as velocity and temperature profiles, skin friction, and Nusselt number are quantitatively discussed through graphs and in tabular form. It is found that the thermal performance heat transfer enhancement capability of

Ti

O

2

-

H

2

O

is higher than that of

CoF

e

2

O

4

-

H

2

O

. Moreover, the nanofluid thermal performance is enhanced with nanoparticles volume fraction, Casson nanofluid parameter, and Biot number but lessened with porous medium permeability.show abstract“…In this work, the thermal profiles have upsurged with growing values of Biot, Eckert numbers, and radiation factor. Hong et al [26] have inspected numerically the nonlinear mixed convection fluid flow past a cylinder embedded in a permeable medium and have noticed that both Nusselt as well as Sherwood numbers have higher values with growth in the values of convective parameters. Hayat et al [27] have noticed that the heat transmission has been augmented for higher values of nonlinear convection parameter.…” Section : Introduction mentioning confidence: 99% Thermal Flow for Radiative Ternary Hybrid Nanofluid over Nonlinear Stretching Sheet Subject to Darcy–Forchheimer Phenomenon Khan 1, Sene 2, Raizah 3 et al. 2022 Mathematical Problems in Engineering 32040 View full text Add to dashboard Cite This study examines the bidimensional nonlinear convective flow of ternary hybrid nanofluid upon a nonlinear stretching sheet. Three types of nanoparticles, namely

Cu
,

TiO

2

,

Al

2

O

3

, are suspended in the base fluid taken as water with a new composition

Cu
+

TiO

2

+

Al

2

O

3

/

H

2

O

which is termed as ternary hybrid nanofluid. To stabilize the flow and thermal properties of the new composition, the Brownian as well as thermophoresis properties are incorporated into energy and mass equations. The nonlinear thermal radiations and heat absorption/generation terms are included in the energy equation. The effects of the Darcy–Forchheimer phenomenon are also induced in the momentum equation. The set of model equations has shifted to dimension-free form by employing suitable variables. It has concluded in this study that flow characteristics have been declined with augmenting values of volumetric fractions of solid nanoparticles, porosity, and inertia factors and have upsurge with higher values of thermal and nonlinear thermal Grashof numbers. Thermal characteristics have been observed to be augmented with growth in radiation, Brownian motion, thermophoresis, heat generation/absorption, temperature ratio factors, and volumetric fraction of solid nanoparticles. These effects are more significant for ternary hybrid nanoparticles. Concentration profiles have been declined with higher values of Brownian motion factor, Lewis number, and upsurge with growth in thermophoresis factor. It has also been deduced in this investigation that the thermal flow rate is higher for trihybrid nanofluid than hybrid or traditional nanofluids, and a percentage growth in Nusselt number has been shown through statistical chart in support of this work. Current results have been compared with established results and found a fine agreement amongst all results. show abstractscite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health. Contact Info customersupport@researchsolutions.com 10624 S. Eastern Ave., Ste. 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Three types of nanoparticles, namely \n \n Cu\n ,\n \n \n TiO\n \n \n 2\n \n \n ,\n \n \n Al\n \n \n 2\n \n \n \n \n O\n \n \n 3\n \n \n \n , are suspended in the base fluid taken as water with a new composition \n \n Cu\n +\n \n \n TiO\n \n \n 2\n \n \n +\n \n \n Al\n \n \n 2\n \n \n \n \n O\n \n \n 3\n \n \n \u002F\n \n \n H\n \n \n 2\n \n \n O\n \n which is termed as ternary hybrid nanofluid. To stabilize the flow and thermal properties of the new composition, the Brownian as well as thermophoresis properties are incorporated into energy and mass equations. The nonlinear thermal radiations and heat absorption\u002Fgeneration terms are included in the energy equation. The effects of the Darcy–Forchheimer phenomenon are also induced in the momentum equation. The set of model equations has shifted to dimension-free form by employing suitable variables. It has concluded in this study that flow characteristics have been declined with augmenting values of volumetric fractions of solid nanoparticles, porosity, and inertia factors and have upsurge with higher values of thermal and nonlinear thermal Grashof numbers. Thermal characteristics have been observed to be augmented with growth in radiation, Brownian motion, thermophoresis, heat generation\u002Fabsorption, temperature ratio factors, and volumetric fraction of solid nanoparticles. These effects are more significant for ternary hybrid nanoparticles. Concentration profiles have been declined with higher values of Brownian motion factor, Lewis number, and upsurge with growth in thermophoresis factor. It has also been deduced in this investigation that the thermal flow rate is higher for trihybrid nanofluid than hybrid or traditional nanofluids, and a percentage growth in Nusselt number has been shown through statistical chart in support of this work. Current results have been compared with established results and found a fine agreement amongst all results.","authors":[{"family":"Khan","given":"Arshad","affiliation":"National University of Sciences and Technology","authorSlug":"arshad-khan-aXdQbj","authorName":"Arshad Khan","authorID":"6538183","authorLastKnownAffiliationId":2138,"authorSequenceNumber":2,"affiliationSlug":"national-university-of-sciences-and-V0yz","affiliationID":"2138"},{"family":"Sene","given":"Ndolane","affiliation":"Cheikh Anta Diop University","authorSlug":"ndolane-sene-YZn4Gr","authorName":"Ndolane Sene","authorID":"7268607","authorLastKnownAffiliationId":5695,"authorSequenceNumber":3,"affiliationSlug":"cheikh-anta-diop-university-YgnG","affiliationID":"5695"},{"family":"Raizah","given":"Zehba","affiliation":"King Khalid University","authorSlug":"zehba-raizah-pnvA3e","authorName":"Zehba Raizah","authorID":"7428030","authorLastKnownAffiliationId":13105,"authorSequenceNumber":4,"affiliationSlug":"king-khalid-university-AREQ","affiliationID":"13105"},{"family":"Saeed","given":"Anwar","affiliation":"King Mongkut's University of Technology Thonburi","authorSlug":"anwar-saeed-V0NlGZ","authorName":"Anwar Saeed","authorID":"7231882","authorLastKnownAffiliationId":21736,"authorSequenceNumber":5,"affiliationSlug":"king-mongkut-s-university-of-technology-l0jM","affiliationID":"21736"},{"family":"Galal","given":"Ahmed M.","affiliation":"Prince Sattam Bin Abdulaziz University","authorSlug":"ahmed-m-galal-vJG6rL","authorName":"Ahmed M. Galal","authorID":"5329597","authorLastKnownAffiliationId":12813,"authorSequenceNumber":6,"affiliationSlug":"prince-sattam-bin-abdulaziz-university-6Jnk","affiliationID":"7898"}],"keywords":[],"year":2022,"shortJournal":"Mathematical Problems in Engineering","publisher":"Hindawi Limited","volume":"2022","page":"1-14","memberId":98,"issns":["1563-5147","1024-123X"],"editorialNotices":[],"journalSlug":"mathematical-problems-in-engineering-0G2v9","journal":"Mathematical Problems in Engineering","preprintLinks":[],"publicationLinks":[],"normalizedTypes":["article"]},"10.23939\u002Fmmc2023.04.1260":{"id":12017082051,"doi":"10.23939\u002Fmmc2023.04.1260","slug":"stagnation-point-flow-and-heat-transfer-YZARNglK","type":"journal-article","title":"Stagnation-point flow and heat transfer over an exponentially shrinking\u002Fstretching sheet in porous medium with heat generation","abstract":"This study seeks to examine the fluid flow at the stagnation point over an exponentially shrinking and stretching sheet in a porous medium. This study also investigates the heat transfer rate in the presence of heat generation. By using the appropriate similarity transformation, we obtained ordinary differential equations (ODEs) that are reduced from the governing system of partial differential equations (PDEs). These resulting equations are subjected to new boundary conditions and solved numerically by using BVP4C in MATLAB software. The effects of the parameters involved in this study are summarized and thoroughly discussed: the skin friction coefficient, local Nusselt number, velocity profile, and temperature profile obtained. The analysis is done by using graphical and tabular data. The observed parameters are the permeability parameter K and the heat generation parameter Q towards shrinking\u002Fstretching parameter λ. It is found that a dual solution exists for λ<0 (shrinking case), whereas the solution is unique for λ>0 (stretching case). The analysis reveals that with heat generation being increased, the skin friction coefficient is constant. However, it increases when permeability increases. The local Nusselt number decreases with heat generation being increased. However, it increases when the permeability increases.","authors":[{},{"family":"Hakim","given":"K. N. A."},{"family":"Rosali","given":"H."},{},{"family":"Johari","given":"M. A. M."},{}],"keywords":["stagnation-point flow","porous medium","stretching\u002Fshrinking sheet","heat generation 2010 MSC: 35B40, 76D05, 35Q30, 76D10, 76S05"],"year":2023,"shortJournal":"Math. Model. Comput.","publisher":"Lviv Polytechnic National University","issue":"4","volume":"10","page":"1260-1268","memberId":10026,"issns":["2312-9794","2415-3788"],"editorialNotices":[],"journalSlug":"mathematical-modeling-and-computing-YZJvD","journal":"Mathematical Modeling and Computing","preprintLinks":[],"publicationLinks":[],"normalizedTypes":["article"]},"10.1155\u002F2023\u002F8238703":{"id":11939021043,"doi":"10.1155\u002F2023\u002F8238703","slug":"stagnation-point-flow-of-math-mO5VnRzn","type":"journal-article","title":"Stagnation Point Flow of \u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" id=\"M1\"\u003E\n \u003Cmtext\u003ECoF\u003C\u002Fmtext\u003E\n \u003Cmsub\u003E\n \u003Cmrow\u003E\n \u003Cmi mathvariant=\"normal\"\u003Ee\u003C\u002Fmi\u003E\n \u003C\u002Fmrow\u003E\n \u003Cmrow\u003E\n \u003Cmn\u003E2\u003C\u002Fmn\u003E\n \u003C\u002Fmrow\u003E\n \u003C\u002Fmsub\u003E\n \u003Cmsub\u003E\n \u003Cmrow\u003E\n \u003Cmi mathvariant=\"norma","abstract":"Mounting temperatures in electronic devices during operation may damage sensitive internal components if too much thermal energy accumulates inside the system. The advent of an innovative ultrahigh-performance thermal management technology known as nanofluid has provided a veritable platform to improve the system performance and reliability by removing the high heat flux generated in the engineering and industrial devices. This paper examines the combined effects of Darcy–Forchheimer porous medium-resistant heating and viscous dissipation on stagnation point flow of a Casson nanofluid (\n \n CoF\n \n \n e\n \n \n 2\n \n \n \n \n O\n \n \n 4\n \n \n \n -\n \n \n \n H\n \n \n 2\n \n \n O\n \n and \n \n Ti\n \n \n O\n \n \n 2\n \n \n \n -\n \n \n \n H\n \n \n 2\n \n \n O\n \n ) towards a convectively heated slippery stretching\u002Fshrinking cylindrical surface in a porous medium. The governing nonlinear model equations are obtained, analysed, and tackled numerically via the shooting technique with the Runge–Kutta–Fehlberg integration scheme. A unique solution is obtained when the surface is stretching. For shrinking cylindrical surface, the model exhibits nonunique dual solutions for a defined range of parameter values, and a temporal stability analysis is conducted to ascertain the stable and physically achievable solution. The effects of emerging thermophysical parameters on the overall flow structure and thermal management such as velocity and temperature profiles, skin friction, and Nusselt number are quantitatively discussed through graphs and in tabular form. It is found that the thermal performance heat transfer enhancement capability of \n \n Ti\n \n \n O\n \n \n 2\n \n \n \n -\n \n \n \n H\n \n \n 2\n \n \n O\n \n is higher than that of \n \n CoF\n \n \n e\n \n \n 2\n \n \n \n \n O\n \n \n 4\n \n \n \n -\n \n \n \n H\n \n \n 2\n \n \n O\n \n . 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Numerical study of nonlinear mixed convection inside stagnation-point flow over surface-reactive cylinder embedded in porous media

Abstract: The material cannot be used for any other purpose without further permission of the publisher and is for private use only.There may be differences between this version and the published version. You are advised to consult the publisher's version if you wish to cite from it.

Cited by 19 publications

References 56 publications

Stagnation-point flow and heat transfer over an exponentially shrinking/stretching sheet in porous medium with heat generation

Stagnation-point flow and heat transfer over an exponentially shrinking/stretching sheet in porous medium with heat generation

Thermal Flow for Radiative Ternary Hybrid Nanofluid over Nonlinear Stretching Sheet Subject to Darcy–Forchheimer Phenomenon

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