Bi-directional Forced Convective Stagnation Points Flow of Oldroyd-B Liquid with Joule Heating Effects: A Finite Difference Simulations
DOI:
https://doi.org/10.37934/cfdl.16.7.2238Keywords:
Oldroyd-B Fluid, Bi-Directional Flow, Joule Heating, Finite Difference SchemeAbstract
The impact of Joule heating for the three-dimensional stagnation point flow of non-Newtonian liquid (namely Oldroyd-B) nanomaterial has been inspected. The influence of mixed convection and the magnetic force is also considered. The flow is induced by the bidirectional stretched surface which moves linearly. The partial differential equations for the developed model are altered into dimensionless statements first. The numerical simulations with the implementation of a finite difference scheme are used for the numerical description. The physical description of parameters is presented against the flow parameters. The results reveal that there is a reverse change in velocity observed for both the relaxation time constant and the retardation constant. Furthermore, the heat transfer rate decreases as the ratio parameter increases. The thickness of the boundary layer increases due to the retardation time and can also be regulated by the application of a magnetic field. An increase in the magnetic parameter leads to an enhancement in temperature and an increase in thermal boundary layer thickness.
References
Harris, John. "Rheology and non-Newtonian flow." (No Title) (1977).
Khan, Sami Ullah, Nasir Ali, Muhammad Sajid, and Tasawar Hayat. "Heat transfer characteristics in oscillatory hydromagnetic channel flow of Maxwell fluid using Cattaneo–Christov model." Proceedings of the National Academy of Sciences, India Section A: Physical Sciences 89 (2019): 377-385. https://link.springer.com/article/10.1007/s40010-017-0470-6
Nazeer, Mubbashar, Farooq Hussain, M. Ijaz Khan, Essam Roshdy El-Zahar, Yu-Ming Chu, and M. Y. Malik. "RETRACTED: Theoretical study of MHD electro-osmotically flow of third-grade fluid in micro channel." (2022): 126868. https://doi.org/10.1016/j.amc.2021.126868
Zhao, Tie‐Hong, M. Ijaz Khan, and Yu‐Ming Chu. "Artificial neural networking (ANN) analysis for heat and entropy generation in flow of non‐Newtonian fluid between two rotating disks." Mathematical Methods in the Applied Sciences 46, no. 3 (2023): 3012-3030. https://doi.org/10.1002/mma.7310
Chu, Yu-Ming, B. M. Shankaralingappa, Bijjanal Jayanna Gireesha, Faris Alzahrani, M. Ijaz Khan, and Sami Ullah Khan. "RETRACTED: Combined impact of Cattaneo-Christov double diffusion and radiative heat flux on bio-convective flow of Maxwell liquid configured by a stretched nano-material surface." (2022): 126883. https://doi.org/10.1016/j.amc.2021.126883
Khan, W. A., M. Irfan, and M. Khan. "An improved heat conduction and mass diffusion models for rotating flow of an Oldroyd-B fluid." Results in physics 7 (2017): 3583-3589. https://doi.org/10.1016/j.rinp.2017.08.068
Zhang, Yan, Bo Yuan, Yu Bai, Yingjian Cao, and Yunpeng Shen. "Unsteady Cattaneo-Christov double diffusion of Oldroyd-B fluid thin film with relaxation-retardation viscous dissipation and relaxation chemical reaction." Powder Technology 338 (2018): 975-982. https://doi.org/10.1016/j.powtec.2018.07.049
Khan, Sami Ullah, Sabir Ali Shehzad, and Sana Nasir. "Unsteady flow of chemically reactive Oldroyd-B fluid over oscillatory moving surface with thermo-diffusion and heat absorption/generation effects." Journal of the Brazilian Society of Mechanical Sciences and Engineering 41, no. 2 (2019): 72. https://link.springer.com/article/10.1007/s40430-019-1577-2
Wang, Jing, M. Ijaz Khan, Waqar Azeem Khan, Syed Zaheer Abbas, and M. Imran Khan. "Transportation of heat generation/absorption and radiative heat flux in homogeneous–heterogeneous catalytic reactions of non-Newtonian fluid (Oldroyd-B model)." Computer Methods and Programs in Biomedicine 189 (2020): 105310. https://doi.org/10.1016/j.cmpb.2019.105310
Hafeez, Abdul, Masood Khan, and Jawad Ahmed. "Flow of magnetized Oldroyd-B nanofluid over a rotating disk." Applied Nanoscience 10 (2020): 5135-5147. https://doi.org/10.1007/s13204-020-01401-2
Khan, Sami Ullah, Sabir Ali Shehzad, and Sana Nasir. "Unsteady flow of chemically reactive Oldroyd-B fluid over oscillatory moving surface with thermo-diffusion and heat absorption/generation effects." Journal of the Brazilian Society of Mechanical Sciences and Engineering 41, no. 2 (2019): 72. https://doi.org/10.1007/s40430-019-1577-2
Gudekote, Manjunatha, and Rajashekhar Choudhari. "Slip effects on peristaltic transport of Casson fluid in an inclined elastic tube with porous walls." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 43, no. 1 (2018): 67-80.
Hamrelaine, Salim, Fateh Mebarek-Oudina, and Mohamed Rafik Sari. "Analysis of MHD Jeffery Hamel flow with suction/injection by homotopy analysis method." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 58, no. 2 (2019): 173-186.
Soid, Siti Khuzaimah, Siti Nor Asiah Ab Talib, Nur Hazirah Adilla Norzawary, Siti Suzilliana Putri Mohamed Isa, and Muhammad Khairul Anuar Mohamed. "Stagnation Bioconvection Flow of Titanium and Aluminium Alloy Nanofluid Containing Gyrotactic Microorganisms over an Exponentially Vertical Sheet." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 107, no. 1 (2023): 202-218. https://doi.org/10.37934/arfmts.107.1.202218
Bakar, Fairul Naim Abu, and Siti Khuzaimah Soid. "MHD stagnation-point flow and heat transfer over an exponentially stretching/shrinking vertical sheet in a micropolar fluid with a Buoyancy effect." Journal of Advanced Research in Micro and Nano Engineering 7, no. 1 (2022): 1-7. https://akademiabaru.com/submit/index.php/arnht/article/view/4502
Shamshuddin, M. D., Kanayo Kenneth Asogwa, and M. Ferdows. "Thermo-solutal migrating heat producing and radiative Casson nanofluid flow via bidirectional stretching surface in the presence of bilateral reactions." Numerical Heat Transfer, Part A: Applications (2023): 1-20. https://doi.org/10.1080/10407782.2023.2191873
Ahmed, AKM Muktadir, M. D. Shamshuddin, M. Ferdows, and Mohamed R. Eid. "Heat and mass transport through biaxial extending sheet with anisotropic slip and entropy/Bejan on the three-dimensional boundary layer hybrid nanofluid." Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering (2022): 09544089221147394. https://doi.org/10.1177/09544089221147394
Shamshuddin, M. D., S. O. Salawu, K. Ramesh, Vishwambhar S. Patil, and Pooja Humane. "Bioconvective treatment for the reactive Casson hybrid nanofluid flow past an exponentially stretching sheet with Ohmic heating and mixed convection." Journal of Thermal Analysis and Calorimetry 148, no. 21 (2023): 12083-12095. https://doi.org/10.1007/s10973-023-12465-x
Salawu, S. O., E. I. Akinola, and M. D. Shamshuddin. "Entropy generation and current density of tangent hyperbolic Cu-C2H6O2 and ZrO2-Cu/C2H6O2 hybridized electromagnetic nanofluid: a thermal power application." South African Journal of Chemical Engineering 46 (2023): 1-11. https://doi.org/10.1016/j.sajce.2023.07.003
Shamshuddin, M. D., F. Mabood, W. A. Khan, and Govind R. Rajput. "Exploration of thermal Péclet number, vortex viscosity, and Reynolds number on two‐dimensional flow of micropolar fluid through a channel due to mixed convection." Heat Transfer 52, no. 1 (2023): 854-873. https://doi.org/10.1002/htj.22719
Cao, Wenhao, Muhammad Madssar Kaleem, Muhammad Usman, Muhammad Imran Asjad, Musawa Yahya Almusawa, and Sayed M. Eldin. "A study of fractional Oldroyd-B fluid between two coaxial cylinders containing gold nanoparticles." Case Studies in Thermal Engineering 45 (2023): 102949. https://doi.org/10.1016/j.csite.2023.102949
Asjad, Muhammad Imran, Rizwan Karim, Abid Hussanan, Azhar Iqbal, and Sayed M. Eldin. "Applications of fractional partial differential equations for MHD casson fluid flow with innovative ternary nanoparticles." Processes 11, no. 1 (2023): 218. https://doi.org/10.3390/pr11010218
Yasir, Muhammad, Masood Khan, and Zaka Ullah Malik. "Analysis of thermophoretic particle deposition with Soret-Dufour in a flow of fluid exhibit relaxation/retardation times effect." International Communications in Heat and Mass Transfer 141 (2023): 106577. https://doi.org/10.1016/j.icheatmasstransfer.2022.106577
Yasir, Muhammad, Masood Khan, Awais Ahmed, and Mahnoor Sarfraz. "Flow of Oldroyd-B nanofluid in non-inertial frame inspired by Cattaneo-Christov theory." Waves in Random and Complex Media (2023): 1-12. https://doi.org/10.1080/17455030.2023.2172626
Kaleem, Muhammad Madssar, Muhammad Imran Asjad, Muhammad Usman, and Mustafa Inc. "Effects of natural convection flow of fractional Maxwell hybrid nanofluid by finite difference method." Waves in Random and Complex Media (2023): 1-16. https://doi.org/10.1080/17455030.2022.2164381
Asjad, Muhammad Imran, Muhammad Usman, Taghreed A. Assiri, Arfan Ali, and ElSayed M. Tag-ElDin. "Numerical investigation of fractional Maxwell nano-fluids between two coaxial cylinders via the finite difference approach." Frontiers in Materials 9 (2023): 1050767. https://doi.org/10.3389/fmats.2022.1050767
Ayub, Assad, Syed Zahir Hussain Shah, Muahmmad Imran Asjad, Musawa Yahya Almusawa, Sayed M. Eldin, and Magda Abd El-Rahman. "Biological interactions between micro swimmers and cross fluid with inclined MHD effects in a complex wavy canal." Scientific Reports 13, no. 1 (2023): 4712. https://doi.org/10.1038/s41598-023-31853-9
Khan, Masood, Muhammad Yasir, Ali Saleh Alshomrani, Sivanandam Sivasankaran, Yaser Rajeh Aladwani, and Awais Ahmed. "Variable heat source in stagnation-point unsteady flow of magnetized Oldroyd-B fluid with cubic autocatalysis chemical reaction." Ain Shams Engineering Journal 13, no. 3 (2022): 101610. https://doi.org/10.1016/j.asej.2021.10.005
Khan, Masood, Muhammad Yasir, Ali Saleh Alshomrani, Sivanandam Sivasankaran, Yaser Rajeh Aladwani, and Awais Ahmed. "Variable heat source in stagnation-point unsteady flow of magnetized Oldroyd-B fluid with cubic autocatalysis chemical reaction." Ain Shams Engineering Journal 13, no. 3 (2022): 101610. https://doi.org/10.1016/j.asej.2021.10.005
Yasir, Muhammad, and Masood Khan. "Dynamics of heat transport in flow of non‐linear Oldroyd‐B fluid subject to non‐Fourier's theory." ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik (2023): e202100393. https://doi.org/10.1002/zamm.202100393
Yasir, Muhammad, and Masood Khan. "Dynamics of unsteady axisymmetric of Oldroyd-B material with homogeneous-heterogeneous reactions subject to Cattaneo-Christov heat transfer." Alexandria Engineering Journal 74 (2023): 665-674. https://doi.org/10.1016/j.aej.2023.05.065
Sajid, M., Z. Abbas, T. Javed, and N. Ali. "Boundary layer flow of an Oldroyd-B fluid in the region of a stagnation point over a stretching sheet." Canadian Journal of Physics 88, no. 9 (2010): 635-640. https://doi.org/10.1139/P10-049
Azeem Khan, Waqar, Masood Khan, and Rabia Malik. "Three-dimensional flow of an Oldroyd-B nanofluid towards stretching surface with heat generation/absorption." PLoS One 9, no. 8 (2014): e105107. https://doi.org/10.1371/journal.pone.0105107
