Computational Simulation of Magneto Convection Flow of Williamson Hybrid Nanofluid with Thermal Radiation Effect

Authors

  • Hamzeh Alkasasbeh Department of Mathematics, Faculty of Science, Ajloun National University, P.O. Box 43, Ajloun 26810, Jordan
  • Feras M. Al Faqih Department of Mathematics, Al-Hussein Bin Talal University ,Ma'an-Jordan, Jordon
  • Abedalrahman S Shoul Department of Mathematics, Al-Hussein Bin Talal University ,Ma'an-Jordan, Jordon

DOI:

https://doi.org/10.37934/cfdl.15.4.92105

Keywords:

Williamson hybrid nanofluid, MHD, stretching sheet, thermal Radiation.

Abstract

The theme of this model is to examine the characteristics of heat and mass transfer flow through stretching sheet along with magnetic field and thermal radiation utilizing Al2O3+CuO/SA Williamson hybrid nanofluid. The transformed partial differential equations are solved by Keller-Box method. The numerical outcomes of physical quantities are revealed by graphs and tables. The Nusselt number, skin friction, velocity and temperature are displayed with support of bar diagram. The study depicted that an increase in the Weissenberg number, radiation, and magnetic parameter surges in fluid temperature, results in an improvement in the thermal boundary layer, this effect reduces the fluid velocity and skin friction coefficient. Excellent correctness of the current results has been acquired as compared thru the previous results

Author Biographies

Hamzeh Alkasasbeh, Department of Mathematics, Faculty of Science, Ajloun National University, P.O. Box 43, Ajloun 26810, Jordan

alkasasbehh@gmail.com

Feras M. Al Faqih, Department of Mathematics, Al-Hussein Bin Talal University ,Ma'an-Jordan, Jordon

oxfer@yahoo.com

Abedalrahman S Shoul, Department of Mathematics, Al-Hussein Bin Talal University ,Ma'an-Jordan, Jordon

aboodalshoul1998@gmail.com

References

Williamson, R. Vo. "The flow of pseudoplastic materials." Industrial & Engineering Chemistry 21, no. 11 (1929): 1108-1111. https://doi.org/10.1021/ie50239a035

Razi, Shazwani Md, Siti Khuzaimah Soid, Ahmad Sukri Abd Aziz, Noorashikin Adli, and Zaileha Md Ali. "Williamson nanofluid flow over a stretching sheet with varied wall thickness and slip effects." In Journal of Physics: Conference Series, vol. 1366, no. 1, p. 012007. IOP Publishing, 2019. https://doi:10.1088/1742-6596/1366/1/012007

Subbarayudu, K., L. Wahidunnisa, S. Suneetha, and P. Bala Anki Reddy. "Nonlinear radiative williamson fluid against a wedge with aligned magnetic field." In Advances in Fluid Dynamics: Selected Proceedings of ICAFD 2018, pp. 263-275. Springer Singapore, 2021. https://doi.org/10.1007/978-981-15-4308-1_21

Sucharitha, G., G. Yasodhara, S. Sreenadh, and P. Lakshminarayana. "Effects of aligned magnetic field and slip on peristaltic flow of a williamson fluid in a flexible conduit with porous medium." In Advances in Fluid Dynamics: Selected Proceedings of ICAFD 2018, pp. 759-770. Springer Singapore, 2021. https://doi.org/10.1007/978-981-15-4308-1_59

Dawar, Abdullah, Zahir Shah, Asifa Tassaddiq, Poom Kumam, Saeed Islam, and Waris Khan. "A convective flow of Williamson nanofluid through cone and wedge with non-isothermal and non-isosolutal conditions: a revised Buongiorno model." Case Studies in Thermal Engineering 24 (2021): 100869. https://doi.org/10.1016/j.csite.2021.100869

Kiyani, M. Z., T. Hayat, I. Ahmad, M. Waqas, and A. Alsaedi. "Bidirectional Williamson nanofluid flow towards stretchable surface with modified Darcy’s law." Surfaces and Interfaces 23 (2021): 100872. https://doi.org/10.1016/j.surfin.2020.100872

Amer Qureshi, Muhammad. "Numerical simulation of heat transfer flow subject to MHD of Williamson nanofluid with thermal radiation." Symmetry 13, no. 1 (2020): 10. https://doi.org/10.3390/sym13010010

Awan, Aziz Ullah, Syed Asif Ali Shah, and Bagh Ali. "Bio-convection effects on Williamson nanofluid flow with exponential heat source and motile microorganism over a stretching sheet." Chinese Journal of Physics 77 (2022): 2795-2810. https://doi.org/10.1016/j.cjph.2022.04.002

Fazal Haq, Seifedine Kadry, Yu-Ming Chu, Mair Khan, and M Ijaz Khan. "Modeling and theoretical analysis of gyrotactic microorganisms in radiated nanomaterial Williamson fluid with activation energy." Journal of Materials Research and Technology 9, no. 5 (2020): 10468-10477. https://doi.org/10.1016/j.jmrt.2020.07.025

Waqas, M., M. Ijaz Khan, Zeeshan Asghar, Seifedine Kadry, Yu-Ming Chu, and W. A. Khan. "Interaction of heat generation in nonlinear mixed/forced convective flow of Williamson fluid flow subject to generalized Fourier's and Fick's concept." Journal of Materials Research and Technology 9, no. 5 (2020): 11080-11086. https://doi.org/10.1016/j.jmrt.2020.07.068

Rosli, Wan Muhammad Hilmi Wan, Muhammad Khairul Anuar Mohamed, Norhafizah Md Sarif, Nurul Farahain Mohammad, and Siti Khuzaimah Soid. "Blood Conveying Ferroparticle Flow on a Stagnation Point Over a Stretching Sheet: Non-Newtonian Williamson Hybrid Ferrofluid." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 97, no. 2 (2022): 175-185. https://doi.org/10.37934/arfmts.97.2.175185

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.

Lee, S., SU-S. Choi, S, and Li, and J. A. Eastman. "Measuring thermal conductivity of fluids containing oxide nanoparticles." (1999): 280-289. https://doi.org/10.1115/1.2825978

Eastman, Jeffrey A., S. U. S. Choi, Sheng Li, W. Yu, and L. J. Thompson. "Anomalously increased effective thermal conductivities of ethylene glycol-based nanofluids containing copper nanoparticles." Applied physics letters 78, no. 6 (2001): 718-720. https://doi.org/10.1063/1.1341218

Hikmet Ş Aybar, Mohsen Sharifpur, M Reza Azizian, Mehdi Mehrabi, and Josua P Meyer. "A review of thermal conductivity models for nanofluids." Heat Transfer Engineering 36, no. 13 (2015): 1085-1110. https://doi.org/10.1080/01457632.2015.987586

Afify, A. A., and M. A. A. Bazid. "Flow and heat transfer analysis of nanofluids over a moving surface with temperature-dependent viscosity and viscous dissipation." Journal of Computational and Theoretical Nanoscience 11, no. 12 (2014): 2440-2448. https://doi.org/10.1166/jctn.2014.3660

Lin, Yanhai, Botong Li, Liancun Zheng, and Goong Chen. "Particle shape and radiation effects on Marangoni boundary layer flow and heat transfer of copper-water nanofluid driven by an exponential temperature." Powder Technology 301 (2016): 379-386. https://doi.org/10.1016/j.powtec.2016.06.029

Alkasasbeh, Hamzeh, Mohammed Swalmeh, Hebah Bani Saeed, Feras Al Faqih, and Adeeb Talafha. "Investigation on CNTs-water and human blood based Casson nanofluid flow over a stretching sheet under impact of magnetic field." Frontiers in Heat and Mass Transfer (FHMT) 14 (2020). http://dx.doi.org/10.5098/hmt.14.15

Alwawi, Firas A., Hamzeh T. Alkasasbeh, A. M. Rashad, and Ruwaidiah Idris. "MHD natural convection of Sodium Alginate Casson nanofluid over a solid sphere." Results in physics 16 (2020): 102818. https://doi.org/10.1016/j.rinp.2019.102818

Alwawi, Firas A., Hamzeh T. Alkasasbeh, Ahmed M. Rashad, and Ruwaidiah Idris. "A numerical approach for the heat transfer flow of carboxymethyl cellulose-water based Casson nanofluid from a solid sphere generated by mixed convection under the influence of Lorentz force." Mathematics 8, no. 7 (2020): 1094. https://doi.org/10.3390/math8071094

Alwawi, Firas A., Hamzeh T. Alkasasbeh, A. M. Rashad, and Ruwaidiah Idris. "Heat transfer analysis of ethylene glycol-based Casson nanofluid around a horizontal circular cylinder with MHD effect." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 234, no. 13 (2020): 2569-2580. https://doi.org/10.1177/0954406220908624

Abdulkareem Saleh Hamarsheh, Firas A Alwawi, Hamzeh T Alkasasbeh, Ahmed M Rashad, and Ruwaidiah Idris. "Heat transfer improvement in MHD natural convection flow of graphite oxide/carbon nanotubes-methanol based casson nanofluids past a horizontal circular cylinder." Processes 8, no. 11 (2020): 1444. https://doi.org/10.3390/pr8111444

Alwawi, Firas A., Abdulkareem Saleh Hamarsheh, Hamzeh T. Alkasasbeh, and Ruwaidiah Idris. "Mixed convection flow of magnetized Casson nanofluid over a cylindrical surface." Coatings 12, no. 3 (2022): 296. https://doi.org/10.3390/coatings12030296

Jamil, Furqan, and Hafiz Muhammad Ali. "Applications of hybrid nanofluids in different fields." In Hybrid nanofluids for convection heat transfer, pp. 215-254. Academic Press, 2020. https://doi.org/10.1016/B978-0-12-819280-1.00006-9

Nohavica, Dušan, and Petar Gladkov. "ZnO nanoparticles and their applications-new achievements." Olomouc, Czech Republic, EU 10 (2010): 12-14.

Recep Ekiciler, Kamil Arslan, Oğuz Turgut, and Burak Kurşun. "Effect of hybrid nanofluid on heat transfer performance of parabolic trough solar collector receiver." Journal of Thermal Analysis and Calorimetry 143, no. 2 (2021): 1637-1654. https://doi.org/10.1007/s10973-020-09717-5

Leena, M., and S. Srinivasan. "Synthesis and ultrasonic investigations of titanium oxide nanofluids." Journal of Molecular Liquids 206 (2015): 103-109. https://doi.org/10.1016/j.molliq.2015.02.001

Yahya, Asmat Ullah, Nadeem Salamat, Wen-Hua Huang, Imran Siddique, Sohaib Abdal, and Sajjad Hussain. "Thermal charactristics for the flow of Williamson hybrid nanofluid (MoS2+ ZnO) based with engine oil over a streched sheet." Case Studies in Thermal Engineering 26 (2021): 101196. https://doi.org/10.1016/j.csite.2021.101196

Alsabery, A. I., H. T. Kadhim, M. A. Ismael, I. Hashim, and A. J. Chamkha. "Impacts of amplitude and heat source on natural convection of hybrid nanofluids into a wavy enclosure via heatline approach." Waves in Random and Complex Media (2021): 1-25. https://doi.org/10.1080/17455030.2021.1896819

Hamzeh Alkasasbeh. "Numerical Solution of Heat Transfer Flow of Casson Hybrid Nanofluid over Vertical Stretching Sheet with Magnetic Field Effect." CFD Letters 14, no. 3 (2022): 39-52. https://doi.org/10.37934/cfdl.14.3.3952

Hamzeh Alkasasbeh. "Mathematical modeling of MHD flow of hybrid micropolar ferrofluids about a solid sphere." Frontiers in Heat and Mass Transfer (FHMT) 18 (2022). http://dx.doi.org/10.5098/hmt.18.43

Mohamed, Muhammad Khairul Anuar, Huei Ruey Ong, Hamzah Taha Alkasasbeh, and Mohd Zuki Salleh. "Heat Transfer of Ag-Al2O3/Water Hybrid Nanofluid on a Stagnation Point Flow over a Stretching Sheet with Newtonian Heating." In Journal of Physics: Conference Series, vol. 1529, no. 4, p. 042085. IOP Publishing, 2020. https://doi.org/10.1088/1742-6596/1529/4/042085

Sajjad, Muhammad, Ali Mujtaba, Adnan Asghar, and Teh Yuan Ying. "Dual solutions of magnetohydrodynamics Al2O3+ Cu hybrid nanofluid over a vertical exponentially shrinking sheet by presences of joule heating and thermal slip condition." CFD Letters 14, no. 8 (2022): 100-115. https://doi.org/10.37934/cfdl.14.8.100115

Asghar, Adnan, Teh Yuan Ying, and Wan Mohd Khairy Adly Wan Zaimi. "Two-Dimensional Mixed Convection and Radiative Al2O3-Cu/H2O Hybrid Nanofluid Flow over a Vertical Exponentially Shrinking Sheet with Partial Slip Conditions." CFD Letters 14, no. 3 (2022): 22-38. https://doi.org/10.37934/cfdl.14.3.2238

Gurrampati, Venkata Ramana Reddy. "Cattaneo-Christov Heat and Mass Transfer Flux Across Electro-Hydrodynamics Blood-Based Hybrid NanoFluid Subject to Lorentz Force." CFD Letters 14, no. 7 (2022): 124-134. https://doi.org/10.37934/cfdl.14.7.124134

Aziz Ullah Awan, N Ameer Ahammad, Sonia Majeed, Fehmi Gamaoun, and Bagh Ali. "Significance of hybrid nanoparticles, Lorentz and Coriolis forces on the dynamics of water based flow." International Communications in Heat and Mass Transfer 135 (2022): 106084. https://doi.org/10.1016/j.icheatmasstransfer.2022.106084

Li, Yi-Xia, Sumaira Qayyum, M. Ijaz Khan, Yasser Elmasry, and Yu-Ming Chu. "Motion of hybrid nanofluid (MnZnFe2O4–NiZnFe2O4–H2O) with homogeneous–heterogeneous reaction: Marangoni convection." Mathematics and Computers in Simulation 190 (2021): 1379-1391. https://doi.org/10.1016/j.matcom.2021.07.017

Chu, Yu‐Ming, Sardar Bilal, and Mohammed Reza Hajizadeh. "Hybrid ferrofluid along with MWCNT for augmentation of thermal behavior of fluid during natural convection in a cavity." Mathematical Methods in the Applied Sciences (2020). https://doi.org/10.1002/mma.6937

Idris, Muhammad Syafiq, Irnie Azlin Zakaria, and Wan Azmi Wan Hamzah. "Heat transfer and pressure drop of water based hybrid Al2O3: SiO2 nanofluids in cooling plate of PEMFC." Journal of Advanced Research in Numerical Heat Transfer 4, no. 1 (2021): 1-13.

Turgut Sarpkaya. "Flow of non‐Newtonian fluids in a magnetic field." AIChE Journal 7, no. 2 (1961): 324-328. https://doi.org/10.1002/aic.690070231

Abid Hussanan, Mohd Zuki Salleh, Hamzeh Taha Alkasasbeh, and Ilyas Khan. "MHD flow and heat transfer in a Casson fluid over a nonlinearly stretching sheet with Newtonian heating." Heat transfer research 49, no. 12 (2018). https://doi.org/10.1615/HeatTransRes.2018014771

Alkasasbeh, Hamzeh Taha. "Numerical solution of micropolar Casson fluid behaviour on steady MHD natural convective flow about a solid sphere." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 50, no. 1 (2018): 55-66.

Bagh Ali, Rizwan Ali Naqvi, Yufeng Nie, Shahid Ali Khan, Muhammad Tariq Sadiq, Ateeq Ur Rehman, and Sohaib Abdal. "Variable viscosity effects on unsteady MHD an axisymmetric nanofluid flow over a stretching surface with thermo-diffusion: Fem approach." Symmetry 12, no. 2 (2020): 234. https://doi.org/10.3390/sym12020234

Iskander Tlili, SP Samrat, and N Sandeep. "A computational frame work on magnetohydrodynamic dissipative flow over a stretched region with cross diffusion: Simultaneous solutions." Alexandria Engineering Journal 60, no. 3 (2021): 3143-3152. https://doi.org/10.1016/j.aej.2021.01.052

Sohaib Abdal, Bagh Ali, Saba Younas, Liaqat Ali, and Amna Mariam. "Thermo-diffusion and multislip effects on MHD mixed convection unsteady flow of micropolar nanofluid over a shrinking/stretching sheet with radiation in the presence of heat source." Symmetry 12, no. 1 (2019): 49. https://doi.org/10.3390/sym12010049

Abbas, Zameer, Sohaib Abdal, Nasir Hussain, Fayyaz Hussain, Muhammad Adnan, Bagh Ali, Rana Muhammad Zulqarnain, Liaqat Ali, and Saba Younas. "Mhd boundary layer flow and heat transfer of nanofluid over a vertical stretching sheet in the presence of a heat source." Scientific Inquiry and Review 3, no. 4 (2019): 60-73. https://doi.org/10.32350/sir.34.05

Aziz Ullah Awan, Sana Abid, Naeem Ullah, and Sohail Nadeem. "Magnetohydrodynamic oblique stagnation point flow of second grade fluid over an oscillatory stretching surface." Results in Physics 18 (2020): 103233 https://doi.org/10.1016/j.rinp.2020.103233

Akbar, Asia Ali, Aziz Ullah Awan, Mutasem Z. Bani-Fwaz, ElSayed M. Tag-ElDin, Kamel Guedri, Mansour F. Yassen, and Bagh Ali. "Linear and quadratic convection significance on the dynamics of MHD Maxwell fluid subject to stretched surface." Frontiers in Physics (2022): 693. https://doi.org/10.3389/fphy.2022.974681

Shah, Syed Asif Ali, N. Ameer Ahammad, Bagh Ali, Kamel Guedri, Aziz Ullah Awan, Fehmi Gamaoun, and ElSayed M. Tag-ElDin. "Significance of bio-convection, MHD, thermal radiation and activation energy across Prandtl nanofluid flow: A case of stretching cylinder." International Communications in Heat and Mass Transfer 137 (2022): 106299. https://doi.org/10.1016/j.icheatmasstransfer.2022.106299

Faisal Shah, Muhammad Ijaz Khan, Yu‐Ming Chu, and Seifedine Kadry. "Heat transfer analysis on MHD flow over a stretchable Riga wall considering Entropy generation rate: a numerical study." Numerical Methods for Partial Differential Equations (2020). https://doi.org/10.1002/num.22694

Noor Saeed Khan, Taza Gul, Saeed Islam, Ilyas Khan, Aisha M Alqahtani, and Ali Saleh Alshomrani. "Magnetohydrodynamic nanoliquid thin film sprayed on a stretching cylinder with heat transfer." Applied Sciences 7, no. 3 (2017): 271. https://doi.org/10.3390/app7030271

Abid Hussanan, Zulkhibri Ismail, Ilyas Khan, Atheer G Hussein, and Sharidan Shafie. "Unsteady boundary layer MHD free convection flow in a porous medium with constant mass diffusion and Newtonian heating." The European Physical Journal Plus 129, no. 3 (2014): 1-16. https://doi.org/10.1140/epjp/i2014-14046-x

Keller, Herbert B. "A new difference scheme for parabolic problems." In Numerical Solution of Partial Differential Equations–II, pp. 327-350. Academic Press, 1971. https://doi.org/10.1016/B978-0-12-358502-8.50014-1

Everett Jones. "An asymptotic outer solution applied to the Keller box method." Journal of Computational Physics 40, no. 2 (1981): 411-429. https://doi.org/10.1016/0021-9991(81)90219-9

Cebeci, T. and Bradshaw, P., 2012. Physical and computational aspects of convective heat transfer. Springer Science & Business Media.

Hassanien, I. A., A. A. Abdullah, and R. S. R. Gorla. "Flow and heat transfer in a power-law fluid over a nonisothermal stretching sheet." Mathematical and computer modelling 28, no. 9 (1998): 105-116. https://doi.org/10.1016/S0895-7177(98)00148-4

Mohd Zuki Salleh, Roslinda Nazar, and I Pop. "Boundary layer flow and heat transfer over a stretching sheet with Newtonian heating." Journal of the Taiwan Institute of Chemical Engineers 41, no. 6 (2010): 651-655. https://doi.org/10.1016/j.jtice.2010.01.013

Downloads

Published

2023-02-16

How to Cite

Alkasasbeh, H., Feras M. Al Faqih, & Abedalrahman S Shoul. (2023). Computational Simulation of Magneto Convection Flow of Williamson Hybrid Nanofluid with Thermal Radiation Effect . CFD Letters, 15(4), 92–105. https://doi.org/10.37934/cfdl.15.4.92105

Issue

Section

Articles