Upshot of heterogeneous catalysis in a nanofluid flow over a rotating disk with slip effects and Entropy optimization analysis.
Journal
Scientific reports
ISSN: 2045-2322
Titre abrégé: Sci Rep
Pays: England
ID NLM: 101563288
Informations de publication
Date de publication:
08 Jan 2021
08 Jan 2021
Historique:
received:
01
09
2020
accepted:
22
12
2020
entrez:
9
1
2021
pubmed:
10
1
2021
medline:
10
1
2021
Statut:
epublish
Résumé
The present study examines homogeneous (HOM)-heterogeneous (HET) reaction in magnetohydrodynamic flow through a porous media on the surface of a rotating disk. Preceding investigations mainly concentrated on the catalysis for the rotating disk; we modeled the impact of HET catalysis in a permeable media over a rotating disk with slip condition at the boundary. The HOM reaction is followed by isothermal cubic autocatalysis, however, the HET reactions occur on the surface governed by first-order kinetics. Additionally, entropy minimization analysis is also conducted for the envisioned mathematical model. The similarity transformations are employed to convert the envisaged model into a non-dimensional form. The system of the modeled problem with ordinary differential equations is analyzed numerically by using MATLAB built-in bvp4c function. The behavior of the emerging parameters versus the thermal, concentration, and velocity distributions are depicted graphically with requisite discussion abiding the thumb rules. It is learned that the rate of the surface catalyzed reaction is strengthened if the interfacial area of the permeable media is enhanced. Thus, a spongy medium can significantly curtail the reaction time. It is also noticed that the amplitude of velocity and thermal profile is maximum for the smallest value of the velocity slip parameter. Heat transfer rate declines for thermophoresis and the Brownian motion parameter with respect to the thermal slip parameter. The cogency of the developed model is also validated by making a comparison of the existing results with a published article under some constraints. Excellent harmony between the two results is noted.
Identifiants
pubmed: 33420299
doi: 10.1038/s41598-020-80553-1
pii: 10.1038/s41598-020-80553-1
pmc: PMC7794536
doi:
Types de publication
Journal Article
Langues
eng
Sous-ensembles de citation
IM
Pagination
120Subventions
Organisme : Korea Institute of Energy Technology Evaluation and Planning
ID : 20192010107020
Références
Choi, S. U. & Eastman, J. A. Enhancing thermal conductivity of fluids with nanoparticles (No. ANL/MSD/CP-84938; CONF-951135-29) (Argonne National Lab, Lemont, 1995).
Eastman, J. A., Choi, S. U. S., Li, S., Yu, W. & Thompson, L. J. Anomalously increased effective thermal conductivities of ethylene glycol-based nanofluids containing copper nanoparticles. Appl. Phys. Lett. 78(6), 718–720 (2001).
doi: 10.1063/1.1341218
Buongiorno, J. (2006). Convective transport in nanofluids.
Tiwari, R. K. & Das, M. K. Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids. Int. J. Heat Mass Transf. 50(9–10), 2002–2018 (2007).
doi: 10.1016/j.ijheatmasstransfer.2006.09.034
Liang, L. H. et al. Nucleation and reshaping thermodynamics of Ni as catalyst of carbon nanotubes. Phys. Rev. B 72(3), 035453 (2005).
doi: 10.1103/PhysRevB.72.035453
Liang, L. H. et al. Increase in thermal stability induced by organic coatings on nanoparticles. Phys. Rev. B 70(20), 205419 (2004).
doi: 10.1103/PhysRevB.70.205419
Li, Z. D., Li, Q. Y., Li, L. & Liu, W. M. Soliton solution for the spin current in a ferromagnetic nanowire. Phys. Rev. E 76(2), 026605 (2007).
doi: 10.1103/PhysRevE.76.026605
Ramzan, M., Chung, J. D., Kadry, S., Chu, Y. M. & Akhtar, M. Nanofluid flow containing carbon nanotubes with quartic autocatalytic chemical reaction and Thompson and Troian slip at the boundary. Sci. Rep. 10(1), 18710 (2020).
pubmed: 33127997
pmcid: 7603354
doi: 10.1038/s41598-020-74855-7
Ramzan, M., Gul, H., Chung, J. D., Kadry, S. & Chu, Y. M. Significance of Hall effect and Ion slip in a three-dimensional bioconvective Tangent hyperbolic nanofluid flow subject to Arrhenius activation energy. Sci. Rep. 10(1), 18342 (2020).
pubmed: 33110093
pmcid: 7591580
doi: 10.1038/s41598-020-73365-w
Ramzan, M., Rafiq, A., Chung, J. D., Kadry, S. & Chu, Y. M. Nanofluid flow with autocatalytic chemical reaction over a curved surface with nonlinear thermal radiation and slip condition. Sci. Rep. 10(1), 18339 (2020).
pubmed: 33110118
pmcid: 7591526
doi: 10.1038/s41598-020-73142-9
Von Kármán, T. Uber laminare und turbulente Reibung. Z. Angew. Math. Mech. 1, 233–252 (1921).
doi: 10.1002/zamm.19210010401
Cochran, W. G. The flow due to a rotating disc. In Mathematical Proceeding of the Cambridge Philosophical Society 365–375 (Cambridge University Press, Cambridge, 1934).
Stewartson, K. On the flow between two rotating coaxial disks. In Mathematical Proceeding of the Cambridge Philosophical Society 333–341 (Cambridge University Press, Cambridge, 1953).
Naqvi, S. M. R. S., Kim, H. M., Muhammad, T., Mallawi, F. & Ullah, M. Z. Numerical study for slip flow of Reiner-Rivlin nanofluid due to a rotating disk. Int. Commun. Heat Mass Transfer 116, 104643 (2020).
doi: 10.1016/j.icheatmasstransfer.2020.104643
Waqas, H., Imran, M., Muhammad, T., Sait, S. M. & Ellahi, R. Numerical investigation on bioconvection flow of Oldroyd-B nanofluid with nonlinear thermal radiation and motile microorganisms over rotating disk. J. Thermal Anal. Calorimetry https://doi.org/10.1007/s10973-020-09728-2 (2020).
doi: 10.1007/s10973-020-09728-2
Khan, M., Ahmed, J., Ali, W. & Nadeem, S. Chemically reactive swirling flow of viscoelastic nanofluid due to rotating disk with thermal radiations. Appl. Nanosci. 2, 1–14 (2020).
Abbas, S. Z., Khan, W. A., Waqas, M., Irfan, M., & Asghar, Z. (2020). Exploring the features for flow of Oldroyd-B liquid film subjected to rotating disk with homogeneous/heterogeneous processes. Comput. Methods Progr. Biomed. 105323.
Tlili, I., Nabwey, H. A., Ashwinkumar, G. P. & Sandeep, N. 3-D magnetohydrodynamic AA7072-AA7075/methanol hybrid nanofluid flow above an uneven thickness surface with slip effect. Sci. Rep. 10(1), 1–13 (2020).
doi: 10.1038/s41598-020-61215-8
Sheikholeslami, M., Shah, Z., Shafee, A., Khan, I. & Tlili, I. Uniform magnetic force impact on water based nanofluid thermal behavior in a porous enclosure with ellipse shaped obstacle. Sci. Rep. 9(1), 1–11 (2019).
doi: 10.1038/s41598-018-37964-y
Zaimi, K., Ishak, A. & Pop, I. Boundary layer flow and heat transfer over a nonlinearly permeable stretching/shrinking sheet in a nanofluid. Sci. Rep. 4, 4404 (2014).
pubmed: 24638147
pmcid: 3957151
doi: 10.1038/srep04404
Ramzan, M., Mohammad, M. & Howari, F. Magnetized suspended carbon nanotubes based nanofluid flow with bio-convection and entropy generation past a vertical cone. Sci. Rep. 9(1), 1–15 (2019).
doi: 10.1038/s41598-019-48645-9
Shah, Z., Kumam, P. & Deebani, W. Radiative MHD Casson nanofluid flow with activation energy and chemical reaction over past nonlinearly stretching surface through Entropy generation. Sci. Rep. 10(1), 1–14 (2020).
doi: 10.1038/s41598-020-61125-9
Hunt, G., Karimi, N. & Torabi, M. Two-dimensional analytical investigation of coupled heat and mass transfer and entropy generation in a porous, catalytic microreactor. Int. J. Heat Mass Transf. 119, 372–391 (2018).
doi: 10.1016/j.ijheatmasstransfer.2017.11.118
Hunt, G., Torabi, M., Govone, L., Karimi, N. & Mehdizadeh, A. Two-dimensional heat and mass transfer and thermodynamic analyses of porous microreactors with Soret and thermal radiation effects—An analytical approach. Chem. Eng. Process. Process Intensif. 126, 190–205 (2018).
doi: 10.1016/j.cep.2018.02.025
Guthrie, D. G., Torabi, M. & Karimi, N. Combined heat and mass transfer analyses in catalytic microreactors partially filled with porous material—The influences of nanofluid and different porous-fluid interface models. Int. J. Therm. Sci. 140, 96–113 (2019).
doi: 10.1016/j.ijthermalsci.2019.02.037
Guthrie, D. G., Torabi, M. & Karimi, N. Energetic and entropic analyses of double-diffusive, forced convection heat and mass transfer in microreactors assisted with nanofluid. J. Therm. Anal. Calorim. 137(2), 637–658 (2019).
doi: 10.1007/s10973-018-7959-3
Saeed, A., Karimi, N., Hunt, G. & Torabi, M. On the influences of surface heat release and thermal radiation upon transport in catalytic porous microreactorsa novel porous-solid interface model. Chem. Eng. Process.-Process Intensif. 143, 107602 (2019).
doi: 10.1016/j.cep.2019.107602
Saeed, A., Karimi, N., Hunt, G., Torabi, M. & Mehdizadeh, A. Double-diffusive transport and thermodynamic analysis of a magnetic microreactor with non-newtonian biofuel flow. J. Therm. Anal. Calorim. 2, 1–25 (2019).
Alizadeh, R., Karimi, N., Mehdizadeh, A. & Nourbakhsh, A. Analysis of transport from cylindrical surfaces subject to catalytic reactions and non-uniform impinging flows in porous media. J. Therm. Anal. Calorim. 138(1), 659–678 (2019).
doi: 10.1007/s10973-019-08120-z
Gomari, S. R., Alizadeh, R., Alizadeh, A. & Karimi, N. Generation of entropy during forced convection of heat in nanofluid stagnation-point flows over a cylinder embedded in porous media. Num. Heat Transfer Part A Appl. 75(10), 647–673 (2019).
doi: 10.1080/10407782.2019.1608774
Ullah, M. Z., Serra-Capizzano, S. & Baleanu, D. A numerical simulation for Darcy-Forchheimer flow of nanofluid by a rotating disk with partial slip effects. Front. Phys. 7, 2 (2020).
doi: 10.3389/fphy.2019.00219
Chaudhary, M. A. & Merkin, J. H. A simple isothermal model for homogeneous–heterogeneous reactions in boundary-layer flow. I Equal diffusivities. Fluid Dyn. Res. 16(6), 311 (1995).
doi: 10.1016/0169-5983(95)00015-6
Doh, D. H., Muthtamilselvan, M., Swathene, B. & Ramya, E. Homogeneous and heterogeneous reactions in a nanofluid flow due to a rotating disk of variable thickness using HAM. Math. Comput. Simul. 168, 90–110 (2020).
doi: 10.1016/j.matcom.2019.08.005
Hayat, T., Haider, F., Muhammad, T. & Ahmad, B. Darcy-Forchheimer flow of carbon nanotubes due to a convectively heated rotating disk with homogeneous–heterogeneous reactions. J. Therm. Anal. Calorim. 137(6), 1939–1949 (2019).
doi: 10.1007/s10973-019-08110-1
Gholinia, M., Hosseinzadeh, K., Mehrzadi, H., Ganji, D. D. & Ranjbar, A. A. Investigation of MHD Eyring-powell fluid flow over a rotating disk under effect of homogeneous–heterogeneous reactions. Case Stud. Therm. Eng. 13, 100356 (2019).
doi: 10.1016/j.csite.2018.11.007
Hayat, T., Hussain, Z., Alsaedi, A. & Asghar, S. Carbon nanotubes effects in the stagnation point flow towards a nonlinear stretching sheet with variable thickness. Adv. Powder Technol. 27(4), 1677–1688 (2016).
doi: 10.1016/j.apt.2016.06.001
Hayat, T., Imtiaz, M., Alsaedi, A. & Alzahrani, F. Effects of homogeneous–heterogeneous reactions in flow of magnetite-Fe3O4 nanoparticles by a rotating disk. J. Mol. Liq. 216, 845–855 (2016).
doi: 10.1016/j.molliq.2016.01.089
Bejan, A. (1979). A study of entropy generation in fundamental convective heat transfer.
Bejan, A., & Kestin, J. (1983). Entropy generation through heat and fluid flow.
Liu, Y., Jian, Y. & Tan, W. Entropy generation of electromagnetohydrodynamic (EMHD) flow in a curved rectangular microchannel. Int. J. Heat Mass Transf. 127, 901–913 (2018).
doi: 10.1016/j.ijheatmasstransfer.2018.06.147
Qayyum, S., Khan, M. I., Hayat, T., Alsaedi, A. & Tamoor, M. Entropy generation in dissipative flow of Williamson fluid between two rotating disks. Int. J. Heat Mass Transf. 127, 933–942 (2018).
doi: 10.1016/j.ijheatmasstransfer.2018.08.034
Ijaz, M., Ayub, M. & Khan, H. Entropy generation and activation energy mechanism in nonlinear radiative flow of Sisko nanofluid: Rotating disk. Heliyon 5(6), e01863 (2019).
pubmed: 31194133
pmcid: 6551480
doi: 10.1016/j.heliyon.2019.e01863
Shaw, S., Dogonchi, A. S., Nayak, M. K. & Makinde, O. D. Impact of Entropy generation and nonlinear thermal radiation on Darcy–Forchheimer flow of MnFe2O4-Casson/Water nanofluid due to a rotating disk: Application to brain dynamics. Arab. J. Sci. Eng. 2, 1–20 (2020).
Ramzan, M., Chung, J. D. & Ullah, N. Partial slip effect in the flow of MHD micropolar nanofluid flow due to a rotating disk—A numerical approach. Results Phys. 7, 3557–3566 (2017).
doi: 10.1016/j.rinp.2017.09.002
Asma, M., Othman, W. A. M., Muhammad, T., Mallawi, F. & Wong, B. R. Numerical study for magnetohydrodynamic flow of nanofluid due to a rotating disk with binary chemical reaction and Arrhenius activation energy. Symmetry 11(10), 1282 (2019).
doi: 10.3390/sym11101282
Awais, M., Bilal, S. & Malik, M. Y. Numerical analysis of magnetohydrodynamic Navier’s slip visco nanofluid flow induced by rotating disk with heat source/sink. Commun. Theor. Phys. 71(9), 1075 (2019).
doi: 10.1088/0253-6102/71/9/1075
Nasir, S., Shah, Z., Islam, S., Khan, W. & Khan, S. N. Radiative flow of magneto hydrodynamics single-walled carbon nanotube over a convectively heated stretchable rotating disk with velocity slip effect. Adv. Mech. Eng. 11(3), 1687814019827713 (2019).
doi: 10.1177/1687814019827713
Hayat, T., Qayyum, S., Alsaedi, A. & Ahmad, B. Significant consequences of heat generation/absorption and homogeneous–heterogeneous reactions in second grade fluid due to rotating disk. Results Phys. 8, 223–230 (2018).
doi: 10.1016/j.rinp.2017.12.012
Hayat, T., Muhammad, T., Shehzad, S. A. & Alsaedi, A. On magnetohydrodynamic flow of nanofluid due to a rotating disk with slip effect: A numerical study. Comput. Methods Appl. Mech. Eng. 315, 467–477 (2017).
doi: 10.1016/j.cma.2016.11.002
Liu, C., Pan, M., Zheng, L. & Lin, P. Effects of heterogeneous catalysis in porous media on nanofluid-based reactions. Int. Commun. Heat Mass Transfer 110, 104434 (2020).
doi: 10.1016/j.icheatmasstransfer.2019.104434
Kameswaran, P. K., Shaw, S., Sibanda, P. V. S. N. & Murthy, P. V. S. N. Homogeneous–heterogeneous reactions in a nanofluid flow due to a porous stretching sheet. Int. J. Heat Mass Transf. 57(2), 465–472 (2013).
doi: 10.1016/j.ijheatmasstransfer.2012.10.047