Carbon Nanotubes Flow on Mixed Convection of Aligned Magnetohydrodynamics over a Static/Moving Wedge with Convective Boundary Conditions

Authors

  • Siti Shuhada Ishak School of Mathematical Sciences, College of Computing, Informatics and Media, Universiti Teknologi MARA, 40450 Shah Alam, Selangor, Malaysia
  • Nurin Nisa Mohd Noor Azhar School of Mathematical Sciences, College of Computing, Informatics and Media, Universiti Teknologi MARA, 40450 Shah Alam, Selangor, Malaysia
  • Nurul Syafiqah Nazli School of Mathematical Sciences, College of Computing, Informatics and Media, Universiti Teknologi MARA, 40450 Shah Alam, Selangor, Malaysia
  • Mohd Rijal Ilias School of Mathematical Sciences, College of Computing, Informatics and Media, Universiti Teknologi MARA, 40450 Shah Alam, Selangor, Malaysia
  • Roselah Osman School of Mathematical Sciences, College of Computing, Informatics and Media, Universiti Teknologi MARA, 40450 Shah Alam, Selangor, Malaysia
  • Zubaidah Sadikin School of Mathematical Sciences, College of Computing, Informatics and Media, Universiti Teknologi MARA, 40450 Shah Alam, Selangor, Malaysia
  • Abdul Rahman Mohd Kasim Centre for Mathematical Sciences, College of Computing & Applied Sciences, Universiti Malaysia Pahang, Lebuhraya Tun Razak, Gambang 26300, Pahang, Malaysia
  • Nurul Farahain Mohammad Department of Computational and Theoretical Sciences, Kulliyyah of Science, International Islamic University Malaysia, Bandar Indera Mahkota, 25200 Kuantan, Pahang, Malaysia

DOI:

https://doi.org/10.37934/cfdl.15.7.7491

Keywords:

Aligned MHD, Mixed Convection, Convective Boundary Condition, Moving Wedge, Carbon Nanotubes

Abstract

Nanotubes have been designed to be significantly larger than any other material, and these cylindrical carbon molecules have exceptional properties that are important for nanoscience and nanotechnology. Due to their exceptional thermal conductivity and mechanical and electrical properties, carbon nanotubes are used as additives to improve heat transfer in various industrial applications. The study analyzed a steady, two-dimensional, carbon nanotubes (CNTs) flow on aligned magnetohydrodynamics mixed convection over a static or moving wedge with convective boundary conditions. The CNTs used are single-wall carbon nanotubes (SWCNTs), multi-wall carbon nanotubes (MWCNTs), and water as the base fluid. The similarity transformation was used to reduce the partial differential governing equations into ordinary differential equations. Then, the reduced equations were solved using fourth-fifth order Runge–Kutta–Fehlberg and coded into Maple Software. The results of velocity and temperature profiles were illustrated graphically while the results of skin friction coefficient and Nusselt number were presented in tabulated data. It is found that the velocity profiles increase, and temperature profiles decrease when the angle of aligned magnetic field parameter, the interaction of magnetic parameter, convective parameter, and total angle of the wedge parameter number increase. For case where Biot number and volume fraction of nanoparticles parameters increase, the velocity profiles decrease, and temperature profiles increase. SWCNTs have increased skin friction and Nusselt numbers due to their higher density and thermal conductivity compared to MWCNTs. The finding of this study will benefit the who works in research and development in a range of industries and the mathematics body of knowledge as it provides new information to people who are interested in this field.

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Author Biographies

Mohd Rijal Ilias, School of Mathematical Sciences, College of Computing, Informatics and Media, Universiti Teknologi MARA, 40450 Shah Alam, Selangor, Malaysia

mrijal@uitm.edu.my

Zubaidah Sadikin, School of Mathematical Sciences, College of Computing, Informatics and Media, Universiti Teknologi MARA, 40450 Shah Alam, Selangor, Malaysia

zubaidah1590@uitm.edu.my

Abdul Rahman Mohd Kasim, Centre for Mathematical Sciences, College of Computing & Applied Sciences, Universiti Malaysia Pahang, Lebuhraya Tun Razak, Gambang 26300, Pahang, Malaysia

rahmanmohd@ump.edu.my

References

Choi, S. US, and Jeffrey A. Eastman. Enhancing thermal conductivity of fluids with nanoparticles. No. ANL/MSD/CP-84938; CONF-951135-29. Argonne National Lab.(ANL), Argonne, IL (United States), 1995.

Eastman, Jeffery A., U. S. Choi, Shaoping Li, L. J. Thompson, and Shinpyo Lee. "Enhanced thermal conductivity through the development of nanofluids." MRS Online Proceedings Library (OPL) 457 (1996): 3. https://doi.org/10.1557/PROC-457-3

Khan, Ibrahim, Khalid Saeed, and Idrees Khan. "Nanoparticles: Properties, applications and toxicities." Arabian journal of chemistry 12, no. 7 (2019): 908-931. https://doi.org/10.1016/j.arabjc.2017.05.011

Halelfadl, Salma, Thierry Maré, and Patrice Estellé. "Efficiency of carbon nanotubes water based nanofluids as coolants." Experimental Thermal and Fluid Science 53 (2014): 104-110. https://doi.org/10.1016/j.expthermflusci.2013.11.010

Baughman, Ray H., Anvar A. Zakhidov, and Walt A. De Heer. "Carbon nanotubes-the route toward applications." science 297, no. 5582 (2002): 787-792. https://doi.org/10.1126/science.1060928

O’connell, Michael J. "Carbon nanotubes: properties and applications." CRC press (2018).

Maré, Thierry, Salma Halelfadl, Ousmane Sow, Patrice Estellé, Steven Duret, and Frederic Bazantay. "Comparison of the thermal performances of two nanofluids at low temperature in a plate heat exchanger." Experimental Thermal and Fluid Science 35, no. 8 (2011): 1535-1543. https://doi.org/10.1016/j.expthermflusci.2011.07.004

Akhilesh, M., K. Santarao, and M. V. S. Babu. "Thermal conductivity of CNT-wated nanofluids: a review." Mechanics and Mechanical Engineering 22, no. 1 (2018): 207-220. https://doi.org/10.2478/mme-2018-0019

Falkneb, V. M., and Sylvia W. Skan. "LXXXV. Solutions of the boundary-layer equations." The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science 12, no. 80 (1931): 865-896. https://doi.org/10.1080/14786443109461870

DR, Hartree. "Onan equation occurring in Falkner and Skan’s approximate treatment of the equations of the boundary layer." In Math Proc Camb Philos Soc, vol. 33, no. 2, pp. 223-239. 1937. https://doi.org/10.1017/S0305004100019575

Koh, J. C. Y., and J. P. Hartnett. "Skin friction and heat transfer for incompressible laminar flow over porous wedges with suction and variable wall temperature." International Journal of Heat and Mass Transfer 2, no. 3 (1961): 185-198. https://doi.org/10.1016/0017-9310(61)90088-6

Ilias, Mohd Rijal, Noraihan Afiqah Rawi, Noor Hidayah Mohd Zaki, and Sharidan Shafie. "Aligned mhd magnetic nanofluid flow past a static wedge." Int. J. Eng. Technol 7, no. 3.28 (2018): 28-31. https://doi.org/10.14419/ijet.v7i3.28.20960

Ilias, Mohd Rijal, Ismail N. S’aidah, W. S. Esah, and C. Hussain. "Unsteady aligned MHD boundary layer flow of a magnetic nanofluid over a wedge." International Journal of Civil Engineering and Technology (IJCIET) 9 (2018): 794-810.

Ilias, MOHD RIJAL. "Steady and Unsteady Aligned Magnetohydrodynamics Free Convection Flows of Magnetic and Non Magnetic Nanofluids along a Wedge, Vertical and Inclined Plates." Vertical and Inclined Plates, Universiti Teknologi Malaysia (2018).

Pandey, A. K., and M. Kumar. "Chemical reaction and thermal radiation effects on a boundary layer flow of nanofluid over a wedge with viscous and Ohmic dissipation, St. Petersburg Polytechnical State Uni-versity Journal." Physics and Mathematics 10, no. 4 (2017): 54-72. https://doi.org/10.1016/j.spjpm.2017.10.008

Ishak, Siti Shuhada, Nurul Nurfatihah Mazlan, Mohd Rijal Ilias, Roselah Osman, Abdul Rahman Mohd Kasim, and Nurul Farahain Mohammad. "Radiation Effects on Inclined Magnetohydrodynamics Mixed Convection Boundary Layer Flow of Hybrid Nanofluids over a Moving and Static Wedge." Journal of Advanced Research in Applied Sciences and Engineering Technology 28, no. 3 (2022): 68-84. https://doi.org/10.37934/araset.28.3.6884

Kandasamy, R., I. Muhaimin, and Radiah Mohammad. "Single walled carbon nanotubes on MHD unsteady flow over a porous wedge with thermal radiation with variable stream conditions." Alexandria Engineering Journal 55, no. 1 (2016): 275-285. https://doi.org/10.1016/j.aej.2015.10.006

Berrehal, Hamza, and Abdelaziz Maougal. "Entropy generation analysis for multi-walled carbon nanotube (MWCNT) suspended nanofluid flow over wedge with thermal radiation and convective boundary condition." Journal of Mechanical Science and Technology 33, no. 1 (2019): 459-464. https://doi.org/10.1007/s12206-018-1245-y

Amar, N. "Viscous dissipation and heat transfer effect on MHD boundary layer flow past a wedge of nano fluid embedded in a porous media." Turkish Journal of Computer and Mathematics Education (TURCOMAT) 12, no. 4 (2021): 1352-1366. https://doi.org/10.17762/turcomat.v12i4.1208

Venkataramanaiah, G., M. Sreedhar Babu, and M. Lavanya. "Convective heat transfer in Water Functionalized Carbon Nanotube Flow past a Static/Moving wedge with heat source/sink." https://doi.org/10.18535/ijecs/v5i2.22

Khan, Waqar A., Richard Culham, and Rizwan Ul Haq. "Heat transfer analysis of MHD water functionalized carbon nanotube flow over a static/moving wedge." Journal of Nanomaterials 16, no. 1 (2015): 112-112. https://doi.org/10.1155/2015/934367

Noranuar, Wan Nura’in Nabilah, Ahmad Qushairi Mohamad, Sharidan Shafie, Ilyas Khan, Mohd Rijal Ilias, and Lim Yeou Jiann. "Analysis of Heat Transfer in Non-Coaxial Rotation of Newtonian Carbon Nanofluid Flow with Magnetohydrodynamics and Porosity Effects." 21st Century Nanostructured Materials (2021): 93. https://doi.org/10.5772/intechopen.100623

Noranuar, Wan Nura'in Nabilah, Ahmad Qushairi Mohamad, Sharidan Shafie, Ilyas Khan, Lim Yeou Jiann, and Mohd Rijal Ilias. "Non-coaxial rotation flow of MHD Casson nanofluid carbon nanotubes past a moving disk with porosity effect." Ain Shams Engineering Journal 12, no. 4 (2021): 4099-4110. https://doi.org/10.1016/j.asej.2021.03.011

Alqahtani, Bader, Zafar Mahmood, Maryam Ahmed Alyami, Abeer M. Alotaibi, Umar Khan, and Ahmed M. Galal. "Heat and mass transfer analysis of MHD stagnation point flow of carbon nanotubes with convective stretching disk and viscous dissipation." Advances in Mechanical Engineering 14, no. 10 (2022): 16878132221128390. https://doi.org/10.1177/16878132221128390

Nayan, Asmahani, Nur Izzatie Farhana Ahmad Fauzan, Mohd Rijal Ilias, Shahida Farhan Zakaria, and Noor Hafizah Zainal Aznam. "Aligned Magnetohydrodynamics (MHD) Flow of Hybrid Nanofluid Over a Vertical Plate Through Porous Medium." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 92, no. 1 (2022): 51-64. https://doi.org/10.37934/arfmts.92.1.5164

Ilias, Mohd Rijal, Noraihan Afiqah Rawi, and Sharidan Shafie. "Steady aligned MHD free convection of Ferrofluids flow over an inclined plate." Journal of Mechanical Engineering (JMechE) 14, no. 2 (2017): 1-15.

Ismail, Nur Suhaida Aznidar, Ahmad Sukri Abd Aziz, Mohd Rijal Ilias, and Siti Khuzaimah Soid. "Mhd boundary layer flow in double stratification medium." In Journal of Physics: Conference Series 1770, no. 1, (2021): 012045. https://doi.org/10.1088/1742-6596/1770/1/012045

Watanabe, T. "Thermal boundary layers over a wedge with uniform suction or injection in forced flow." Acta Mechanica 83, no. 3 (1990): 119-126. https://doi.org/10.1007/BF01172973

Yih, K. A. "Uniform suction/blowing effect on forced convection about a wedge: uniform heat flux." Acta Mechanica 128, no. 3 (1998): 173-181. https://doi.org/10.1007/BF01251888

Mabood, Fazle, Anum Shafiq, Waqar Ahmed Khan, and Irfan Anjum Badruddin. "MHD and nonlinear thermal radiation effects on hybrid nanofluid past a wedge with heat source and entropy generation." International Journal of Numerical Methods for Heat & Fluid Flow 32, no. 1 (2022): 120-137. https://doi.org/10.1108/HFF-10-2020-0636

Mishra, P., M. R. Acharya, and S. Panda. "Mixed convection MHD nanofluid flow over a wedge with temperature-dependent heat source." Pramana 95, no. 2 (2021): 1-12. https://doi.org/10.1007/s12043-021-02087-z

Waini, Iskandar, Anuar Ishak, Teodor Groşan, and Ioan Pop. "Mixed convection of a hybrid nanofluid flow along a vertical surface embedded in a porous medium." International Communications in Heat and Mass Transfer 114 (2020): 104565. https://doi.org/10.1016/j.icheatmasstransfer.2020.104565

Rawi, Noraihan Afiqah, Mohd Rijal Ilias, Zaiton Mat Isa, and Sharidan Shafie. "G-Jitter induced mixed convection flow and heat transfer of micropolar nanofluids flow over an inclined stretching sheet." In AIP Conference Proceedings 1775, no. 1, (2016): 030020. https://doi.org/10.1063/1.4965140

Ismail, M. A., N. F. Mohamad, M. R. Ilias, and S. Shafie. "MHD Effect on Unsteady Mixed Convection Boundary Layer Flow past a Circular Cylinder with Constant Wall Temperature." In Journal of Physics: Conference Series 890, no. 1, (2017): 012054. https://doi.org/10.1088/1742-6596/890/1/012054

Anuar, Nur Syazana, Norfifah Bachok, Norihan Md Arifin, and Haliza Rosali. "Analysis of Al2O3-Cu nanofluid flow behaviour over a permeable moving wedge with convective surface boundary conditions." Journal of King Saud University-Science 33, no. 3 (2021): 101370. https://doi.org/10.1016/j.jksus.2021.101370

Hussain, Majid, Abdul Ghaffar, Akhtar Ali, Azeem Shahzad, Kottakkaran Sooppy Nisar, M. R. Alharthi, and Wasim Jamshed. "MHD thermal boundary layer flow of a Casson fluid over a penetrable stretching wedge in the existence of nonlinear radiation and convective boundary condition." Alexandria Engineering Journal 60, no. 6 (2021): 5473-5483. https://doi.org/10.1016/j.aej.2021.03.042

Ilias, Mohd Rijal, Noraihan Afiqah Rawi, and Sharidan Shafie. "Natural convection of ferrofluid from a fixed vertical plate with aligned magnetic field and convective boundary condition." Malaysian Journal of Fundamental and Applied Sciences 13, no. 3 (2017). https://doi.org/10.11113/mjfas.v13n3.651

Bosli, Fazillah, Alia Syafiqa Suhaimi, Siti Shuhada Ishak, Mohd Rijal Ilias, Amirah Hazwani Abdul Rahim, and Anis Mardiana Ahmad. "Investigation of Nanoparticles Shape Effects on Aligned MHD Casson Nanofluid Flow and Heat Transfer with Convective Boundary Condition." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 91, no. 1 (2022): 155-171. https://doi.org/10.37934/arfmts.91.1.155171

Rosaidi, Nor Alifah, Nurul Hidayah Ab Raji, Siti Nur Hidayatul Ashikin Ibrahim, and Mohd Rijal Ilias. "Aligned magnetohydrodynamics free convection flow of magnetic nanofluid over a moving vertical plate with convective boundary condition." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 93, no. 2 (2022): 37-49. https://doi.org/10.37934/arfmts.93.2.3749

Hone, J. "Carbon nanotubes: thermal properties." Dekker Encyclopedia of Nanoscience and nanotechnology 7 (2004): 603-610.

Ruoff, Rodney S., and Donald C. Lorents. "Mechanical and thermal properties of carbon nanotubes." carbon 33, no. 7 (1995): 925-930. https://doi.org/10.1016/0008-6223(95)00021-5

Rahman, M. M., and I. A. Eltayeb. "Convective slip flow of rarefied fluids over a wedge with thermal jump and variable transport properties." International Journal of Thermal Sciences 50, no. 4 (2011): 468-479. https://doi.org/10.1016/j.ijthermalsci.2010.10.020

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Published

2023-05-29

How to Cite

Siti Shuhada Ishak, Nurin Nisa Mohd Noor Azhar, Nurul Syafiqah Nazli, Mohd Rijal Ilias, Roselah Osman, Zubaidah Sadikin, Abdul Rahman Mohd Kasim, & Nurul Farahain Mohammad. (2023). Carbon Nanotubes Flow on Mixed Convection of Aligned Magnetohydrodynamics over a Static/Moving Wedge with Convective Boundary Conditions . CFD Letters, 15(7), 74–91. https://doi.org/10.37934/cfdl.15.7.7491

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