Entropy optimization in mixed convective boundary layer flow of CNTs Casson nanoliquid through a vertical cylinder moving with nonlinear velocity

References

• Abo-Eldahab, E. M., and A. M. Salem. 2005. “MHD Flow and Heat Transfer of Non-Newtonian Power-Law Fluid with Diffusion and Chemical Reaction on a Moving Cylinder.” Heat and Mass Transfer 41 (8): 703–708. https://doi.org/10.1007/s00231-004-0592-7.
   Web of Science ®Google Scholar
• Ahmed, S. E., Z. A. S. Raizah, and A. M. Aly. 2019. “Entropy Generation Due to Mixed Convection Over Vertical Permeable Cylinders Using Nanofluids.” Journal of King Saud University - Science 31:352–361. https://doi.org/10.1016/j.jksus.2017.07.010.
   Web of Science ®Google Scholar
• Al-Mdallal, Q. M., S. Aman, K. U. Rehman, L. Y. A. Sakkaf, and S. Saranya. 2022. “Numerical Investigation of Heat Generation and Magnetohydrodynamic Flow of Fluid Over a Shrinking Infinite Long Cylinder Through Porous Medium.” Journal of Nanofluids 11 (2): 285–295. https://doi.org/10.1166/jon.2022.1830.
   Web of Science ®Google Scholar
• Al-Mdallal, Q., V. R. Prasad, H. T. Basha, I. Sarris, and N. Akkurt. 2022. “Keller Box Simulation of Magnetic Pseudoplastic Nano-Polymer Coating Flow Over a Circular Cylinder with Entropy Optimisation.” Computers & Mathematics with Applications 118:132–158. https://doi.org/10.1016/j.camwa.2022.05.013.
   Web of Science ®Google Scholar
• Al-Sanea, and A. Sami. 2004. “Mixed Convection Heat Transfer Along a Continuously Moving Heated Vertical Plate with Suction or Injection.” International Journal of Heat and Mass Transfer 47(6–7): 1445–1465. https://doi.org/10.1016/j.ijheatmasstransfer.2003.09.016.
   Web of Science ®Google Scholar
• Aladdin, N. A. L., N. Bachok, H. Rosali, N. Wahi, and N. A. A. Rahmin. 2022. “Numerical Computation of Hybrid Carbon Nanotubes Flow Over a Stretching/Shrinking Vertical Cylinder in Presence of Thermal Radiation and Hydromagnetic.” Mathematics 10:3551. https://doi.org/10.3390/math10193551.
   Web of Science ®Google Scholar
• Ali, L., Y. Wang, B. Ali, X. Liu, A. Din, and Q. Al-Mdallal. 2021. “The Function of Nanoparticle’s Diameter and Darcy-Forchheimer Flow Over a Cylinder with Effect of Magnetic Field and Thermal Radiation.’’ Case Studies in Thermal Engineering 28:101392. https://doi.org/10.1016/j.csite.2021.101392.
   Web of Science ®Google Scholar
• Alwawi, F. A., A. S. Hamarsheh, H. T. Alkasasbeh, and R. Idris. 2022. “Mixed Convection Flow of Magnetized Casson Nanofluid Over a Cylindrical Surface.” Coatings 12:296. https://doi.org/10.3390/coatings12030296.
   Web of Science ®Google Scholar
• Amkadini, M. and A. Azzouzi. 2006. “On the Similarity Solution of MHD Boundary Layer Flow Over a Moving Vertical Cylinder.” International Journal of Differential Equations 2006: 1–9. https://doi.org/10.1155/DENM/2006/52765.
   Google Scholar
• Bakar, S.A., N.M. Arifin, F. Md Ali, N. Bachok, R. Nazar, and I. Pop. 2018. “A Stability Analysis on Mixed Convection Boundary Layer Flow Along a Permeable Vertical Cylinder in a Porous Medium Filled with a Nanofluid and Thermal Radiation.” Applied Sciences 8(4): 483. https://doi.org/10.3390/app8040483.
   Google Scholar
• Bellman, R.E., and R.E. Kalaba. 1965. Quasilinearization and Nonlinear Boundary Value Problems. New York: Elsevier.
   Google Scholar
• Bird, R. B., G. C. Dai, and B. J. Yarusso. 1983. “The Rheology and Flow of Viscoplastic Materials.” Reviews in Chemical Engineering 1:1–70. https://doi.org/10.1515/revce-1983-0102.
   Google Scholar
• Buongiorno, J. 2006. “Convective Transport in Nanofluids.” Journal of Heat Transfer 128 (3): 240–250. https://doi.org/10.1115/1.2150834.
   Web of Science ®Google Scholar
• Canuto, C., M.Y. Husseini, A. Quarteroni, and T.A. Zang. 2006. Spectral Methods: Fundamentals in Single Domains. New York: Springer-Verlag.
   Google Scholar
• Casson, N. 1959. In Rheology of Dispersed System. Oxford: Peragamon press.
   Google Scholar
• Chaudhary, M. A., and J. H. Merkin. 1993. “The Effects of Blowing and Suction on Free Convection Boundary Layers on Vertical Surfaces with Prescribed Heat Flux.” Journal of Engineering Mathematics 27 (3): 265–292. https://doi.org/10.1007/BF00128967.
   Web of Science ®Google Scholar
• Choi, S.U.S. 1995. “Enhancing Thermal Conductivity of Fluids with Nanoparticles.” ASME Fluids Engineering Division 231:99–105.
   Google Scholar
• Darcy, H. 1856. Les fontaines publiques de la ville de Dijon: exposition et application … Victor.
   Google Scholar
• EL-Zahar, E. R., A. M. Rashad, W. Saad, and L. F. Seddek. 2020. “Magneto-hybrid Nanofluids Flow via Mixed Convection Past a Radiative Circular Cylinder.” Scientific Reports 10:10494. https://doi.org/10.1038/s41598-020-66918-6.
   PubMed Web of Science ®Google Scholar
• Elbashbeshy, E. M. A., T. G. Emam, M. S. El-Azab, and K. M. Abdelgaber. 2015. “Effect of Thermal Radiation on Flow, Heat, and Mass Transfer of a Nanofluid Over a Stretching Horizontal Cylinder Embedded in a Porous Medium with Suction/Injection.” Journal of Porous Media 18 (3): 215–229. https://doi.org/10.1615/JPorMedia.v18.i3.30.
   Web of Science ®Google Scholar
• Emam, T. G. 2021. “Boundary Layer Flow Over a Vertical Cylinder Embedded in a Porous Medium Moving with non Linear Velocity.” WSEAS Transactions on Fluid Mechanics 16:32–36. https://doi.org/10.37394/232013.2021.16.4.
   Google Scholar
• Emam, T. G. 2022. “Nonlinear Radiative Flow Over a Vertical Cylinder Moving with Nonlinear Velocity.” International Journal of Heat and Technology 40 (4): 961–966. https://doi.org/10.18280/ijht.400413.
   Web of Science ®Google Scholar
• Forchheimer, P. 1901. “Wasserbewegung Durch Boden.” Z Vereins Deutscher Ingenieure 45:1782–1788.
   Google Scholar
• Ganesan, P., and P. Loganathan. 2002. “Radiation and Mass Transfer Effects on Flow of an Incompressible Viscous Fluid Past a Moving Vertical Cylinder.” International Journal of Heat and Mass Transfer 45 (21): 4281–4288. https://doi.org/10.1016/S0017-9310(02)00140-0.
   Web of Science ®Google Scholar
• Ghoneim, M. E., J. Ahmed, W. Ali, and M. F. Yassen. 2022. “Carbon Nanotubes (CNT) Based Nanofluid Flow Due to a Rotating Cylinder: Static and Dynamics Models.” Microfluidics and Nanofluidics 26:83. https://doi.org/10.1007/s10404-022-02582-8.
   Web of Science ®Google Scholar
• Gohar, T. Gul, W. Khan, M. Shuaib, M. A. Khan, and E. Bonyah. 2019. “MWCNTS/SWCNTs Nanofluid Thin Film Flow Over a Nonlinear Extending Disc: OHAM Solution.” Journal of Thermal Science 28: 115–122. https://doi.org/10.1007/s11630-018-1075-3.
   Web of Science ®Google Scholar
• Gul, T., M. Bilal, M. Shuaib, S. Mukhtar, and P. Thounthong. 2020. “Thin Film Flow of the Water-Based Carbon Nanotubes Hybrid Nanofluid Under the Magnetic Effects” Heat Transfer 49 (6): 3211–3227. https://doi.org/10.1002/htj.21770.
   Google Scholar
• Gul, T., M. A. Khan, W. Noman, L. Khan, T. A. Alkanhal, and I. Tlili. 2019. “Fractional Order Forced Convection Carbon Nanotube Nanofluid Flow Passing Over a Thin Needle.” Symmetry 11 (3): 312. https://doi.org/10.3390/sym11030312.
   Google Scholar
• Gul, T., M. Waqas, W. Noman, Z. Zaheer, and I. S. Amiri. 2019. “The Carbon-Nanotube Nanofluid Sprayed on Unsteady Stretching Cylinder Together with Entropy Generation.” Advances in Mechanical Engineering 11 (12): 1–11.
   Web of Science ®Google Scholar
• Hussain, Z., T. Hayat, A. Alsaedi, and S. Anwar. 2021. “Mixed Convective Flow of CNTs Nanofluid Subject to Varying Viscosity and Reactions.” Scientific Reports 11:22838. https://doi.org/10.1038/s41598-021-02228-9.
   PubMed Web of Science ®Google Scholar
• Imtiaz, M., T. Hayat, and A. Alseadi. 2016. “Mixed Convection Flow of Casson Nanofluid Over a Stretching Cylinder with Convective Boundary Conditions.” Advanced Powder Technology 27 (5): 2245–2256. https://doi.org/10.1016/j.apt.2016.08.011.
   Web of Science ®Google Scholar
• Khan, M. R., N. A. Ahammad, S. E. Alhazmi, A. Ali, M. A. H. Abdelmohimen, R. Allogmany, E. Tag-Eldin, and M. F. Yassen. 2022. “Energy and Mass Transport Through Hybrid Nanofluid Flow Passing Over an Extended Cylinder with the Magnetic Dipole Using a Computational Approach.” Frontiers in Energy Research 10:980042. https://doi.org/10.3389/fenrg.2022.980042.
   Web of Science ®Google Scholar
• Khan, M., M. Sarfraz, A. Ahmed, M.Y. Malik, and A.S. Alqahtani. 2021. “Study of Engine-oil Based CNT Nanofluid Flow on a Rotating Cylinder with Viscous Dissipation” Physica Scripta 96(7): 0075005. https://doi.org/10.1088/1402-4896/abfacd.
   Web of Science ®Google Scholar
• Liu, M. S., M. C. C. Lin, I. T. Huang, and C. C. Wang. 2005. “Enhancement of Thermal Conductivity with Carbon Nanotube for Nanofluids.” International Communications in Heat and Mass Transfer 32 (9): 1202–1210. https://doi.org/10.1016/j.icheatmasstransfer.2005.05.005.
   Web of Science ®Google Scholar
• Loganathan, P., and B. Eswari. 2017. “Natural Convective Flow Over Moving Vertical Cylinder with Temperature Oscillations in the Presence of Porous Medium.” Global Journal of Pure and Applied Mathematics 13 (2): 839–855.
   Google Scholar
• Manjunatha, P. T., B. J. Gireesha, and B. C. Prasannakumara. 2017. “Effect of Radiation on Flow and Heat Transfer of MHD Dusty Fluid Over a Stretching Cylinder Embedded in a Porous Medium in Presence of Heat Source.” International Journal of Applied and Computational Mathematics 3 (1): 293–310. https://doi.org/10.1007/s40819-015-0107-x.
   Google Scholar
• Mkhatshwa, M. P. 2022. “Overlapping Grid Spectral Collocation Approach for Electrical MHD Bioconvection Darcy-Forchheimer Flow of a Carreau-Yasuda Nanoliquid Over a Periodically Accelerating Surface.” Heat Transfer 51 (2): 1468–1500. https://doi.org/10.1002/htj.22360.
   Google Scholar
• Mkhatshwa, M. P., and M. Khumalo. 2023. “Irreversibility Scrutinization on EMHD Darcy–Forchheimer Slip Flow of Carreau Hybrid Nanofluid Through a Stretchable Surface in Porous Medium with Temperature-Variant Properties.” Heat Transfer 52 (1): 395–429. https://doi.org/10.1002/htj.22700.
   Google Scholar
• Mkhatshwa, M. P., S. S. Motsa, M. S. Ayano, and P. Sibanda. 2020. “MHD Mixed Convective Nanofluid Flow About a Vertical Slender Cylinder Using Overlapping Multi-Domain Spectral Collocation Approach.” Case Studies in Thermal Engineering 18:100598. https://doi.org/10.1016/j.csite.2020.100598.
   Web of Science ®Google Scholar
• Mkhatshwa, M. P., S. S. Motsa, and P. Sibanda. 2021a. “MHD Mixed Convection Flow of Couple Stress Fluid Over an Oscillatory Stretching Sheet with Thermophoresis and Thermal Diffusion Using the Overlapping Multi-Domain Spectral Relaxation Approach.” International Journal of Applied and Computational Mathematics 7:93. https://doi.org/10.1007/s40819-021-01043-0.
   Google Scholar
• Mkhatshwa, M. P., S. S. Motsa, and P. Sibanda. 2021b. “Overlapping Multi-Domain Spectral Method for MHD Mixed Convection Slip Flow Over an Exponentially Decreasing Mainstream with non-Uniform Heat Source/Sink and Convective Boundary Conditions.” International Journal of Computational Methods 18 (5): 2150004. https://doi.org/10.1142/S0219876221500043.
   Google Scholar
• Muhammad, K., T. Hayat, and Alsaedi. 2022. “OHAM Analysis of Newtonian Heating in Mixed Convective Flow of CNTs Over a Stretched Cylinder.” Alexandria Engineering Journal 61(5): 3697–3707. https://doi.org/10.1016/j.aej.2021.08.072.
   Web of Science ®Google Scholar
• Nakamura, M., and T. Sawada. 1988. “Numerical Study on the Flow of a Non-Newtonian Fluid Through an Axisymmetric Stenosis.” Journal of Biomechanical Engineering 110:137–143. https://doi.org/10.1115/1.3108418.
   PubMed Web of Science ®Google Scholar
• Prasad, R. V., S. A. Rao, and A. O. Beg. 2013. “Flow and Heat Transfer of Casson Fluid from a Horizontal Cylinder with Partial Slip in non-Darcy Porous Medium.” Journal of Applied and Computational Mathematics 2 (3): 1000127. https://doi.org/10.4172/2168-9679.1000127.
   Google Scholar
• Rashad, A. M., A. J. Chamkha, and M. Modather. 2013. “Mixed Convection Boundary-Layer Flow Past a Horizontal Circular Cylinder Embedded in a Porous Medium Filled with a Nanofluid Under Convective Boundary Condition.” Computers & Fluids 86:380–388. https://doi.org/10.1016/j.compfluid.2013.07.030.
   Web of Science ®Google Scholar
• Reddy, G. J., B. Kethireddy, M. Kumar, and H. P. Rani. 2019. “Entropy Generation for Transient Casson Fluid Past a Vertical Cylinder with Bejan’s Flow Visualization.” International Journal for Computational Methods in Engineering Science and Mechanics 20 (3): 175–200. https://doi.org/10.1080/15502287.2019.1569173.
   Web of Science ®Google Scholar
• Rotte, J. W., and W. J. Beek. 1969. “Some Models for the Calculation of Heat Transfer Coefficients to a Moving Continuous Cylinder.” Chemical Engineering Science 24 (4): 705–716. https://doi.org/10.1016/0009-2509(69)80063-1.
   Web of Science ®Google Scholar
• Sakiadis, B. C. 1961. “Boundary-Layer Behavior on Continuous Solid Surfaces: II. The Boundary Layer on a Continuous Flat Surface.” AIChE Journal 7 (2): 221–225. https://doi.org/10.1002/aic.690070211.
   Web of Science ®Google Scholar
• Saranya, S., Q. M. Al-Mdallal, and S. Javed. 2021. “Shifted Legendre Collocation Method for the Solution of Unsteady Viscous-Ohmic Dissipative Hybrid Ferrofluid Flow Over a Cylinder.” Nanomaterials 11 (6): 1512. https://doi.org/10.3390/nano11061512.
   Web of Science ®Google Scholar
• Tiwari, R. K., and M. K. Das. 2007. “Heat Transfer Augmentation in a Two-Sided Lid-Driven Differentially Heated Square Cavity Utilizing Nanofluids.” International Journal of Heat and Mass Transfer 50 (9–10): 2002–2018. https://doi.org/10.1016/j.ijheatmasstransfer.2006.09.034.
   Web of Science ®Google Scholar
• Trefethen, L. N. 2000. Spectral Methods in MATLAB. Philadelphia, PA: SIAM.
   Google Scholar
• Volder, M. F. L. D., R. H. Tawfick, R. H. Baughman, and A. J. Hart. 2013. “Carbon Nanotubes: Present and Future Commercial Applications.” Science 339:535–539. https://doi.org/10.1126/science.1222453.
   PubMed Web of Science ®Google Scholar
• Xue, Q. 2005. “Model for Thermal Conductivity of Carbon Nanotube-Based Composites.” Physica B: Condensed Matter 368:302–307. https://doi.org/10.1016/j.physb.2005.07.024.
   Web of Science ®Google Scholar
• Yang, H. H., B. R. Seymour, and B. D. Shizgal. 1994. “A Chebyshev Pseudospectral Multi-Domain Method for Steady Flow Past a Cylinder up to Re = 150.” Computers & Fluids 23:829–851. https://doi.org/10.1016/0045-7930(94)90068-X.
   Web of Science ®Google Scholar
• Zokri, S. M., M. Z. Salleh, N. S. Arifin, and A. R. M. Kasim. 2020. “Lower Stagnation Point Flow of Convectively Heated Horizontal Circular Cylinder in Jeffrey Nanofluid with Suction/Injection.” Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 76 (1): 135–144. https://doi.org/10.37934/arfmts.76.1.135144.
   Google Scholar