Galerkin finite element analysis of heat and mass transfer of Jeffrey, Maxwell and Oldroyd-B nanofluids in a vertical annulus with an induced magnetic field and a non–uniform heat source/sink

References

• Ahmed, Sameh E., M. A. Mansour, Ahmed Kadhim Hussein, and S. Sivasankaran. 2016. “Mixed Convection from a Discrete Heat Source in Enclosures with Two Adjacent Moving Walls and Filled with Micropolar Nanofluids.” Engineering Science and Technology, an International Journal 19 (1): 364–376. doi:10.1016/j.jestch.2015.08.005.
   Google Scholar
• Al-Mdallal, Qasem M., A. Renuka, M. Muthtamilselvan, and Bahaaeldin Abdalla. 2021. “Ree-Eyring Fluid Flow of Cu-Water Nanofluid Between Infinite Spinning Disks with an Effect of Thermal Radiation.” Ain Shams Engineering Journal 12 (3): 2947–2956. doi:10.1016/j.asej.2020.12.016.
   Web of Science ®Google Scholar
• Alhussain, Ziyad A., A. Renuka, and M. Muthtamilselvan. 2021. “A Magneto-Bioconvective and Thermal Conductivity Enhancement in Nanofluid Flow Containing Gyrotactic Microorganism.” Case Studies in Thermal Engineering 23 (February): 100809. doi:10.1016/j.csite.2020.100809.
   Web of Science ®Google Scholar
• Ali, Bagh, Sajjad Hussain, Yufeng Nie, Ahmed Kadhim Hussein, and Danial Habib. 2021. “Finite Element Investigation of Dufour and Soret Impacts on MHD Rotating Flow of Oldroyd-B Nanofluid Over a Stretching Sheet with Double Diffusion Cattaneo Christov Heat Flux Model.” Powder Technology 377: 439–452. doi:10.1016/j.powtec.2020.09.008.
   Web of Science ®Google Scholar
• Ali, Bagh, Shahid Ali Khan, Ahmed Kadhim Hussein, Thirupathi Thumma, and Sajjad Hussain. 2022. “Hybrid Nanofluids: Significance of Gravity Modulation, Heat Source/ Sink, and Magnetohydrodynamic on Dynamics of Micropolar Fluid Over an Inclined Surface via Finite Element Simulation.” Applied Mathematics and Computation 419 (April): 126878. doi:10.1016/j.amc.2021.126878.
   Web of Science ®Google Scholar
• Bhuvaneswari, Marimuthu, Sheniyappan Eswaramoorthi, Sivasankaran Sivasankaran, and Ahmed Kadhim Hussein. 2019. “Cross-Diffusion Effects on MHD Mixed Convection Over a Stretching Surface in a Porous Medium with Chemical Reaction and Convective Condition.” Engineering Transactions 67 (1): 3. doi:10.24423/EngTrans.820.20190308.
   Google Scholar
• Biswal, Uddhaba, Snehashish Chakraverty, Bata Krushna Ojha, and Ahmed Kadhim Hussein. 2022. “Numerical Investigation on Nanofluid Flow Between Two Inclined Stretchable Walls by Optimal Homotopy Analysis Method.” Journal of Computational Science 63 (September): 101759. doi:10.1016/j.jocs.2022.101759.
   Web of Science ®Google Scholar
• Chand, R., G. C. Rana, and A. K. Hussein. 2014. “On the Onsetof Thermal Instability in a Low Prandtl Number Nanofluid Layer in a Porous Medium.” Journal of Applied Fluid Mechanics 8 (2): 265–272. doi:10.18869/acadpub.jafm.67.221.22830.
   Web of Science ®Google Scholar
• Chand, Ramesh, Gian C. Rana, and Ahmed Kadhim Hussein. 2015. “Effect of Suspended Particles on the Onset of Thermal Convection in a Nanofluid Layer for More Realistic Boundary Conditions.” International Journal of Fluid Mechanics Research 42 (5), doi:10.1615/InterJFluidMechRes.v42.i5.10.
   Google Scholar
• Choi, S. U. S., and J. A. Eastman. 1995. “Enhancing Thermal Conductivity of Fluids with Nanoparticles.” ANL/MSD/CP-84938; CONF-951135-29. Argonne National Lab. (ANL), Argonne, IL (United States). https://www.osti.gov/biblio/196525.
   Google Scholar
• Elkhazen, M. I., W. Hassen, R. Gannoun, A. K. Hussein, and M. N. Borjini. 2019. “Numerical Study of Electroconvection in a Dielectric Layer Between Two Co Focal Elliptical Cylinders Subjected to Unipolar Injection.” Journal of Engineering Physics and Thermophysics 92 (5): 1318–1329. doi:10.1007/s10891-019-02047-w.
   Web of Science ®Google Scholar
• Ferdows, M., Md. Jashim Uddin, and A. A. Afify. 2013. “Scaling Group Transformation for MHD Boundary Layer Free Convective Heat and Mass Transfer Flow Past a Convectively Heated Nonlinear Radiating Stretching Sheet.” International Journal of Heat and Mass Transfer 56 (1): 181–187. doi:10.1016/j.ijheatmasstransfer.2012.09.020.
   Web of Science ®Google Scholar
• Ghachem, Kaouther, Ahmed Kadhim Hussein, Lioua Kolsi, and Obai Younis. 2021. “CNT-Water Nanofluid Magneto-Convective Heat Transfer in a Cubical Cavity Equipped with Perforated Partition.” European Physical Journal Plus 136 (April): 377. doi:10.1140/epjp/s13360-021-01387-y.
   Web of Science ®Google Scholar
• Ghoben, Zainab Kareem, and Ahmed Kadhim Hussein. 2022. “The Natural Convection Inside a 3D Triangular Cross Section Cavity Filled with Nanofluid and Included Cylinder with Different Arrangements.” Diagnostyka 23 (2): 1–13. doi:10.29354/diag/149734.
   Google Scholar
• Gireesha, B. J., B. Mahanthesh, I. S. Shivakumara, and K. M. Eshwarappa. 2016. “Melting Heat Transfer in Boundary Layer Stagnation-Point Flow of Nanofluid Toward a Stretching Sheet with Induced Magnetic Field.” Engineering Science and Technology, an International Journal 1 (19): 313–321. doi:10.1016/j.jestch.2015.07.012.
   Google Scholar
• Gokulavani, P., M. Muthtamilselvan, and Qasem Al-Mdallal. 2022. “Double Diffusive Convection of CuO + MWCNT Hybrid Nanofluid in an Inclined Open Cavity with Internal Heat Generation/Absorption.” International Journal of Ambient Energy: 1–11. doi:10.1080/01430750.2022.2128417.
   Google Scholar
• Gourari, Sihem, Fateh Mebarek-Oudina, Ahmed Hussein, Lioua Kolsi, Walid Hassen, and Obai Younis. 2019. “Numerical Study of Natural Convection Between Two Coaxial Inclined Cylinders.” International Journal of Heat and Technology 37 (3): 779–786. doi:10.18280/ijht.370314.
   Web of Science ®Google Scholar
• Habibi Matin, M., and I. Pop. 2013. “Natural Convection Flow and Heat Transfer in an Eccentric Annulus Filled by Copper Nanofluid.” International Journal of Heat and Mass Transfer 61 (June): 353–364. doi:10.1016/j.ijheatmasstransfer.2013.01.061.
   Web of Science ®Google Scholar
• Hayat, T., A. M. Siddiqui, and S. Asghar. 2001. “Some Simple Flows of an Oldroyd-B Fluid.” International Journal of Engineering Science 39 (2): 135–147. doi:10.1016/S0020-7225(00)00026-4.
   Web of Science ®Google Scholar
• Howard, Louis N. 1962. “Hydrodynamic and Hydromagnetic Stability. By S. CHANDRASEKHAR. Clarendon Press: Oxford University Press, 1961. 652 Pp. £5. 5s.” Journal of Fluid Mechanics 13 (1): 158–160. doi:10.1017/S0022112062210592.
   Google Scholar
• Hussein, Ahmed Kadhim, Hamid Reza Ashorynejad, Mohsen Shikholeslami, and S. Sivasankaran. 2014. “Lattice Boltzmann Simulation of Natural Convection Heat Transfer in an Open Enclosure Filled with Cu–Water Nanofluid in a Presence of Magnetic Field.” Nuclear Engineering and Design 268 (March): 10–17. doi:10.1016/j.nucengdes.2013.11.072.
   Web of Science ®Google Scholar
• Hussein, Ahmed Kadhim, H. R. Ashorynejad, S. Sivasankaran, Lioua Kolsi, M. Shikholeslami, and I. K. Adegun. 2016. “Modeling of MHD Natural Convection in a Square Enclosure Having an Adiabatic Square Shaped Body Using Lattice Boltzmann Method.” Alexandria Engineering Journal 55 (1): 203–214. doi:10.1016/j.aej.2015.12.005.
   Web of Science ®Google Scholar
• Koteswara Reddy, G., C. S. K. Raju Kiran Yarrakula, and Alireza Rahbari. 2018. “Mixed Convection Analysis of Variable Heat Source/Sink on MHD Maxwell, Jeffrey, and Oldroyd-B Nanofluids Over a Cone with Convective Conditions Using Buongiorno’s Model.” Journal of Thermal Analysis and Calorimetry 132 (3): 1995–2002. doi:10.1007/s10973-018-7115-0
   Web of Science ®Google Scholar
• Kumar, K. Anantha, V. Sugunamma, N. Sandeep, and M. T. Mustafa. 2019. “Simultaneous Solutions for First Order and Second Order Slips on Micropolar Fluid Flow Across a Convective Surface in the Presence of Lorentz Force and Variable Heat Source/Sink.” Scientific Reports 9 (1): 14706. doi:10.1038/s41598-019-51242-5.
   PubMed Web of Science ®Google Scholar
• Leela, V., Pulla Nagabhushana, B. Shilpa, and R. Gangadhara Reddy. 2022. “Numerical Investigation on Effects of Induced Magnetic Field and Viscous Dissipation on MHD Mixed Convection in a Vertical Micro-Porous Channel Using the Brinkman–Forchheimer Extended Darcy Model.” International Journal of Ambient Energy 43 (1): 6950–6964. doi:10.1080/01430750.2022.2059006.
   Google Scholar
• Leela, V., B. C. Prasannakumara, B. Shilpa, and R. Gangadhara Reddy. 2022. “Computational Analysis of Ohmic and Viscous Dissipation Effects on MHD Mixed Convection Flow in a Vertical Channel with Linearly Varying Wall Temperatures.” Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, February, 09544089221080669. doi:10.1177/09544089221080669.
   Google Scholar
• Mansour, Mohamed A., Ahmed M. Rashad, Bandaru Mallikarjuna, Ahmed Kadhim Hussein, Mohamed Aichouni, and Lioua Kolsi. 2019. “MHD Mixed Bioconvection in a Square Porous Cavity Filled by Gyrotactic Microorganisms.” International Journal of Heat and Technology 37 (2): 433–445. doi:10.18280/ijht.370209.
   Web of Science ®Google Scholar
• Md Kasmani, Ruhaila, S. Sivasankaran, M. Bhuvaneswari, and Ahmed Kadhim Hussein. 2017. “Analytical and Numerical Study on Convection of Nanofluid Past a Moving Wedge with Soret and Dufour Effects.” International Journal of Numerical Methods for Heat & Fluid Flow 27 (10): 2333–2354. doi:10.1108/HFF-07-2016-0277.
   Web of Science ®Google Scholar
• Miles, Adel, and Rachid Bessaïh. 2021. “Heat Transfer and Entropy Generation Analysis of Three-Dimensional Nanofluids Flow in a Cylindrical Annulus Filled with Porous Media.” International Communications in Heat and Mass Transfer 124 (May): 105240. doi:10.1016/j.icheatmasstransfer.2021.105240.
   Web of Science ®Google Scholar
• Mliki, Bouchmel, Mohamed Ammar Abbassi, Kamel Guedri, and Ahmed Omri. 2015. “Lattice Boltzmann Simulation of Natural Convection in an L-Shaped Enclosure in the Presence of Nanofluid.” Engineering Science and Technology, an International Journal 18 (3): 503–511. doi:10.1016/j.jestch.2015.04.008.
   Google Scholar
• Prasannakumara, B. C., M. Gnaneswara Reddy, G. T. Thammanna, and B. J. Gireesha. 2018. “MHD Double-Diffusive Boundary-Layer Flow of a Maxwell Nanofluid Over a Bidirectional Stretching Sheet with Soret and Dufour Effects in the Presence of Radiation.” Nonlinear Engineering 7 (3): 195–205. doi:10.1515/nleng-2017-0058.
   Google Scholar
• Prasannakumara, B. C., M. R. Krishnamurthy, B. J. Gireesha, and Rama S. R. Gorla. 2016. “Effect of Multiple Slips and Thermal Radiation on MHD Flow of Jeffery Nanofluid with Heat Transfer.” Journal of Nanofluids 5 (1): 82–93. doi:10.1166/jon.2016.1198.
   Google Scholar
• Raizah, Zehba, Sameh Ahmed, Ahmed Hussein, and M. Mansour. 2018. “MHD Mixed Convection in Trapezoidal Enclosures Filled with Micropolar Nanofluids.” Nanoscience and Technology: An International Journal 9 (January), doi:10.1615/NanoSciTechnolIntJ.2018026118.
   Google Scholar
• Rani, Hari P., V. Leela, B. Shilpa, and Pulla Nagabhushana. 2022. “Numerical Analysis of Hydromagnetic Mixed Convective Flow in an Internally Heated Vertical Porous Layer Using Thermal Nonequilibrium Model.” Heat Transfer 51 (7): 6249–6273. doi:10.1002/htj.22590.
   Web of Science ®Google Scholar
• Rashidi, Mohammad Mehdi, Behnam Rostami, Navid Freidoonimehr, and Saeid Abbasbandy. 2014. “Free Convective Heat and Mass Transfer for MHD Fluid Flow Over a Permeable Vertical Stretching Sheet in the Presence of the Radiation and Buoyancy Effects.” Ain Shams Engineering Journal 5 (3): 901–912. doi:10.1016/j.asej.2014.02.007.
   Google Scholar
• Reddy, N. Keerthi, and M. Sankar. 2022. “Buoyant Heat Transfer of Nanofluids in a Vertical Porous Annulus: A Comparative Study of Different Models.” International Journal of Numerical Methods for Heat & Fluid Flow 33 (2): 477–509. doi:10.1108/HFF-03-2022-0179.
   Web of Science ®Google Scholar
• Rehman, Khalil Ur, Andaç Batur Çolak, and Wasfi Shatanawi. 2022. “Artificial Neural Networking (ANN) Model for Convective Heat Transfer in Thermally Magnetized Multiple Flow Regimes with Temperature Stratification Effects.” Mathematics 10 (14): 2394. doi:10.3390/math10142394.
   Web of Science ®Google Scholar
• Renuka, A., M. Muthtamilselvan, Deog-Hee Doh, and Gyeong-Rae Cho. 2020. “Entropy Analysis and Nanofluid Past a Double Stretchable Spinning Disk Using Homotopy Analysis Method.” Mathematics and Computers in Simulation (MATCOM) 171 (C): 152–169. doi:10.1016/j.matcom.2019.05.008
   Web of Science ®Google Scholar
• Sandeep, N., and C. Sulochana. 2018. “Momentum and Heat Transfer Behaviour of Jeffrey, Maxwell and Oldroyd-B Nanofluids Past a Stretching Surface with Non-Uniform Heat Source/Sink.” Ain Shams Engineering Journal 9 (4): 517–524. doi:10.1016/j.asej.2016.02.008.
   Web of Science ®Google Scholar
• Shakiba, Ali, and Asgar Bradaran Rahimi. 2019. “Nanofluid Flow and MHD Mixed Convection Inside a Vertical Annulus with Moving Walls and Transpiration Considering the Effect of Brownian Motion and Shape Factor.” Journal of Thermal Analysis and Calorimetry 138 (October), https://profdoc.um.ac.ir/paper-abstract-1073646.html.
   Google Scholar
• Shilpa, B., V. Leela, B. C. Prasannakumara, and Pulla Nagabhushana. 2022. “Soret and Dufour Effects on MHD Double-Diffusive Mixed Convective Heat and Mass Transfer of Couple Stress Fluid in a Channel Formed by Electrically Conducting and Non-Conducting Walls.” Waves in Random and Complex Media: 1–22. doi:10.1080/17455030.2022.2119491.
   Web of Science ®Google Scholar
• Shilpa, B., V. Leela, and Hari Ponnamma Rani. 2023. “Stability Analysis of MHD Radiative Mixed Convective Flow in Vertical Cylindrical Annulus: Thermal Nonequilibrium Approach.” Heat Transfer 52 (1): 707–733. doi:10.1002/htj.22713.
   Web of Science ®Google Scholar
• Talebi, Mansour, Mohammad Amin Borhani, S. M. Mousavi Zadeh, and Gholam Reza Ansarifar. 2022. “Experimental Analysis of Forced Convection Heat Transfer of Hybrid Nanofluids in a Vertical Annulus with Cosine Heat Flux.” Progress in Nuclear Energy 153 (November): 104438. doi:10.1016/j.pnucene.2022.104438.
   Web of Science ®Google Scholar
• Tornabene, Francesco, Nicholas Fantuzzi, Francesco Ubertini, and Erasmo Viola. 2015. “Strong Formulation Finite Element Method Based on Differential Quadrature: A Survey.” Applied Mechanics Reviews 67 (2), doi:10.1115/1.4028859.
   Web of Science ®Google Scholar
• Umavathi, J. C., and J. Prathap Kumar. 2016. “Onset of Convection in a Porous Medium Layer Saturated With an Oldroyd-B Nanofluid.” Journal of Heat Transfer 139 (1), doi:10.1115/1.4033698.
   Web of Science ®Google Scholar