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Research Article

Darcy–Forchheimer flow of power-law (Ostwald-de Waele type) nanofluid over an inclined plate with thermal radiation and activation energy: an irreversibility analysis

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Pages 1980-1989 | Received 08 Sep 2022, Accepted 21 Mar 2023, Published online: 18 Apr 2023

References

  • Abderrahmane, Aissa, Obai Younis, Hasan Sh Majdi, Kamel Guedri, Wasim Jamshed, Siti Suzilliana Putri Mohamed Isa, Riadh Marzouki, and Shaghayegh Baghaei. 2022. “Exploration of Ostwald-de Waele Non-Newtonian Nanofluid Subject to Lorentz Force, and Entropy Optimization in a Corrugated Porous Medium Enclosure: Galerkin Finite Element Analysis.” Journal of Magnetism and Magnetic Materials 562: 169834. doi:10.1016/j.jmmm.2022.169834.
  • Ali, Mohamed R. 2021. “The Method of Lines Analysis of Heat Transfer of Ostwald-de Waele Fluid Generated by a Non-Uniform Rotating Disk with a Variable Thickness.” Journal of Applied and Computational Mechanics 7 (2): 432–441. doi:10.22055/JACM.2020.30890.1787.
  • Alqaed, Saeed, Jawed Mustafa, and Mohsen Sharifpur. 2022. “Numerical Investigation and Optimization of Natural Convection and Entropy Generation of Alumina/H2O Nanofluid in a Rectangular Cavity in the Presence of a Magnetic Field with Artificial Neural Networks.” Engineering Analysis with Boundary Elements 140: 507–518. doi:10.1016/j.enganabound.2022.04.034.
  • Azam, Muhammad, Fazle Mabood, Tianzhou Xu, Mohamed Waly, and Iskander Tlili. 2020. “Entropy Optimized Radiative Heat Transportation in Axisymmetric Flow of Williamson Nanofluid with Activation Energy.” Results in Physics 19: 103576. doi:10.1016/j.rinp.2020.103576.
  • Babu, KS Srinivasa, A. Parandhama, and R. Bhuvana Vijaya. 2021. “Non-linear MHD Convective Flow of Carreau Nanofluid Over an Exponentially Stretching Surface with Activation Energy and Viscous Dissipation.” SN Applied Sciences 3 (3): 382. doi:10.1007/s42452-021-04339-4.
  • Babu, Kasibhotla Satya Srinivasa, Areti Parandhama, and Rachamalla Bhuvana Vijaya. 2022. “Significance of Heat Source/Sink on the Radiative Flow of Cross Nanofluid Across an Exponentially Stretching Surface Towards a Stagnation Point with Chemical Reaction.” Heat Transfer 51 (4): 2885–2904. doi:10.1002/htj.22428.
  • Bejan, Adrian. 1979. “A Study of Entropy Generation in Fundamental Convective Heat Transfer.” Journal of Heat Transfer 101 (4): 718–725. doi:10.1115/1.3451063.
  • Bhatti, M. M., A. Z. L. S. Riaz, L. Zhang, S. M. Sait, and R. Ellahi. 2021. “Biologically Inspired Thermal Transport on the Rheology of Williamson Hydromagnetic Nanofluid Flow with Convection: An Entropy Analysis.” Journal of Thermal Analysis and Calorimetry 144: 2187–2202. doi:10.1007/s10973-020-09876-5
  • Buongiorno, J. 2006. “Convective Transport in Nanofluids.” Journal of Heat Transfer 128 (3): 240–250. doi:10.1115/1.2150834.
  • Chen, Chien-Hsin. 2009. “Magneto-Hydrodynamic Mixed Convection of a Power-Law Fluid Past a Stretching Surface in the Presence of Thermal Radiation and Internal Heat Generation/Absorption.” International Journal of Non-Linear Mechanics 44 (6): 596–603. doi:10.1016/j.ijnonlinmec.2009.02.004.
  • Choi, S. U. S., and J. A. Eastman. 1995. “Enhancing Thermal Conductivity of Fluids With Nanoparticles.” Argonne National Lab., IL United States, 1–8. https://www.osti.gov/servlets/purl/196525.
  • Daniel, Yahaya Shagaiya, Zainal Abdul Aziz, Zuhaila Ismail, Arifah Bahar, and Faisal Salah. 2019. “Stratified Electromagnetohydrodynamic Flow of Nanofluid Supporting Convective Role.” Korean Journal of Chemical Engineering 36: 1021–1032. doi:10.1007/s11814-019-0247-5.
  • Eid, Mohamed R., Kasseb L. Mahny, Taseer Muhammad, and Mohsen Sheikholeslami. 2018. “Numerical Treatment for Carreau Nanofluid Flow Over a Porous Nonlinear Stretching Surface.” Results in Physics 8: 1185–1193. doi:10.1016/j.rinp.2018.01.070.
  • Fares, R., Fateh Mebarek-Oudina, A. Aissa, S. M. Bilal, and H. F. Öztop. 2021. “Optimal Entropy Generation in Darcy-Forchheimer Magnetized Flow in a Square Enclosure Filled with Silverbased Water Nanoliquid.” Journal of Thermal Analysis and Calorimetry 147: 1571–1581. doi:10.1007/s10973-020-10518-z.
  • Farooq, Umar, Hassan Waqas, Taseer Muhammad, Muhammad Imran, and Ali Saleh Alshomrani. 2022. “Computation of Nonlinear Thermal Radiation in Magnetized Nanofluid Flow with Entropy Generation.” Applied Mathematics and Computation 423: 126900. doi:10.1016/j.amc.2021.126900.
  • Ghasemi, S. E., and Mohammad Hatami. 2021. “Solar Radiation Effects on MHD Stagnation Point Flow and Heat Transfer of a Nanofluid Over a Stretching Sheet.” Case Studies in Thermal Engineering 25: 100898. doi:10.1016/j.csite.2021.100898.
  • Gorla, Rama Subba Reddy, and Ali Chamkha. 2011. “Natural Convective Boundary Layer Flow Over a Nonisothermal Vertical Plate Embedded in a Porous Medium Saturated with a Nanofluid.” Nanoscale and Microscale Thermophysical Engineering 15 (2): 81–94. doi:10.1080/15567265.2010.549931.
  • Hassanien, I. A., A. A. Abdullah, and R. S. R. Gorla. 1998. “Flow and Heat Transfer in a Power-law Fluid Over a Nonisothermal Stretching Sheet.” Mathematical and Computer Modelling 28 (9): 105–116. doi:10.1016/S0895-7177(98)00148-4.
  • Hayat, T., S. A. Khan, and A. Alsaedi. 2020a. “Simulation and Modeling of Entropy Optimized MHD Flow of Second Grade Fluid with Dissipation Effect.” Journal of Materials Research and Technology 9 (5): 11993–12006. doi:10.1016/j.jmrt.2020.07.067.
  • Hayat, T., S. A. Khan, and A. Alsaedi. 2021. “Irreversibility Characterization in Nanoliquid Flow with Velocity Slip and Dissipation by a Stretchable Cylinder.” Alexandria Engineering Journal 60 (3): 2835–2844. doi:10.1016/j.aej.2021.01.018.
  • Hayat, T., S. A. Khan, A. Alsaedi, and Q. M. Zaigham Zai. 2020b. “Computational Analysis of Heat Transfer in Mixed Convective Flow of CNTs with Entropy Optimization by a Curved Stretching Sheet.” International Communications in Heat and Mass Transfer 118: 104881. doi:10.1016/j.icheatmasstransfer.2020.104881.
  • Hsiao, K. L. 2017. “Micropolar Nanofluid Flow with MHD and Viscous Dissipation Effects Towards a Stretching Sheet with Multimedia Feature.” International Journal of Heat and Mass Transfer 112: 983–990. doi:10.1016/j.ijheatmasstransfer.2017.05.042.
  • Ijaz, M., M. Ayub, M. Y. Malik, H. Khan, A. A. Alderremy, and Shaban Aly. 2020. “Entropy Analysis in Nonlinearly Convective Flow of the Sisko Model in the Presence of Joule Heating and Activation Energy: The Buongiorno Model.” Physica Scripta 95 (2): 025402. doi:10.1088/1402-4896/ab2dc7.
  • Irfan, M., M. Khan, W. A. Khan, and L. Ahmad. 2019. “Influence of Binary Chemical Reaction with Arrhenius Activation Energy in MHD Nonlinear Radiative Flow of Unsteady Carreau Nanofluid: Dual Solutions.” Applied Physics A 125: 1–11. doi:10.1007/s00339-019-2457-4.
  • Jawad, Muhammad, Anwar Saeed, Taza Gul, and Arshad Khan. 2021. “The Magnetohydrodynamic Flow of a Nanofluid Over a Curved Exponentially Stretching Surface.” Heat Transfer 50 (6): 5356–5379. doi:10.1002/htj.22127.
  • Kata, Sreelakshmi, Sarojamma Ganganapalli, and Vajravelu Kuppalapalle. 2019. “Effect of Thermophoresis and Brownian Motion on the Melting Heat Transfer of a Jeffrey Fluid Near a Stagnation Point Towards a Stretching Surface: Buongiorno’s Model.” Heat Transfer—Asian Research 48 (7): 3328–3349. doi:10.1002/htj.21544.
  • Khalid, Shamila, Hassan Waqas, Sumeira Yasmin, Taseer Muhammad, and Ahmed M. Galal. 2022. “Hybrid Nanofluid to Enhance Heat Transfer with Velocity and Temperature Jump Impacts.” Waves in Random and Complex Media, 1–17. doi:10.1080/17455030.2022.2071496.
  • Khan, Masood, and Muhammad Azam. 2017. “Unsteady Heat and Mass Transfer Mechanisms in MHD Carreau Nanofluid Flow.” Journal of Molecular Liquids 225: 554–562. doi:10.1016/j.molliq.2016.11.107.
  • Khan, Sohail A., T. Hayat, and A. Alsaedi. 2020a. “Entropy Optimization in Passive and Active Flow of Liquid Hydrogen Based Nanoliquid Transport by a Curved Stretching Sheet.” International Communications in Heat and Mass Transfer 119: 104890. doi:10.1016/j.icheatmasstransfer.2020.104890.
  • Khan, Sohail A., T. Hayat, and A. Alsaedi. 2022a. “Thermal Conductivity Performance for Ternary Hybrid Nanomaterial Subject to Entropy Generation.” Energy Reports 8: 9997–10005. doi:10.1016/j.egyr.2022.07.149.
  • Khan, Sohail A., T. Hayat, A. Alsaedi, and B. Ahmad. 2021. “Melting Heat Transportation in Radiative Flow of Nanomaterials with Irreversibility Analysis.” Renewable and Sustainable Energy Reviews 140: 110739. doi:10.1016/j.rser.2021.110739.
  • Khan, Sohail A., T. Hayat, A. Alsaedi, and M. S. Alhodaly. 2022b. “Thermal Analysis for Radiative Flow of Darcy–Forchheimer Nanomaterials Subject to Entropy Generation.” Journal of Computational Design and Engineering 9 (5): 1756–1764. doi:10.1093/jcde/qwac080.
  • Khan, Sohail A., T. Hayat, M. Ijaz Khan, and A. Alsaedi. 2020b. “Salient Features of Dufour and Soret Effect in Radiative MHD Flow of Viscous Fluid by a Rotating Cone with Entropy Generation.” International Journal of Hydrogen Energy 45 (28): 14552–14564. doi:10.1016/j.ijhydene.2020.03.123.
  • Khan, Sohail A., Tareq Saeed, M. Ijaz Khan, T. Hayat, M. Imran Khan, and A. Alsaedi. 2019. “Entropy Optimized CNTs Based Darcy-Forchheimer Nanomaterial Flow Between two Stretchable Rotating Disks.” International Journal of Hydrogen Energy 44 (59): 31579–31592. doi:10.1016/j.ijhydene.2019.10.053.
  • Kho, Yap Bing, Abid Hussanan, Muhammad Khairul Anuar Mohamed, and Mohd Zuki Salleh. 2019. “Heat and Mass Transfer Analysis on Flow of Williamson Nanofluid with Thermal and Velocity Slips: Buongiorno Model.” Propulsion and Power Research 8 (3): 243–252. doi:10.1016/j.jppr.2019.01.011.
  • Liu, Suhong, Dariush Bahrami, Rasool Kalbasi, Mehdi Jahangiri, Ye Lu, Xuelan Yang, S. S. Band, Kwok-Wing Chau, and Amir Mosavi. 2022. “Efficacy of Applying Discontinuous Boundary Condition on the Heat Transfer and Entropy Generation Through a Slip Microchannel Equipped with Nanofluid.” Engineering Applications of Computational Fluid Mechanics 16 (1): 952–964. doi:10.1080/19942060.2022.2057591.
  • Mahanthesh, B., S. A. Shehzad, Joby Mackolil, and N. S. Shashikumar. 2021. “Heat Transfer Optimization of Hybrid Nanomaterial Using Modified Buongiorno Model: A Sensitivity Analysis.” International Journal of Heat and Mass Transfer 171: 121081. doi:10.1016/j.ijheatmasstransfer.2021.121081.
  • Nayak, M. K. 2016. “Chemical Reaction Effect on MHD Viscoelastic Fluid Over a Stretching Sheet Through Porous Medium.” Meccanica 51 (8): 1699–1711. doi:10.1007/s11012-015-0329-3.
  • Nayak, M. K. 2017. “MHD 3D Flow and Heat Transfer Analysis of Nanofluid by Shrinking Surface Inspired by Thermal Radiation and Viscous Dissipation.” International Journal of Mechanical Sciences 124-125: 185–193. doi:10.1016/j.ijmecsci.2017.03.014.
  • Nayak, M. K., Noreen Sher Akbar, V. S. Pandey, Zafar Hayat Khan, and Dharmendra Tripathi. 2017. “3D Free Convective MHD Flow of Nanofluid Over Permeable Linear Stretching Sheet with Thermal Radiation.” Powder Technology 315: 205–215. doi:10.1016/j.powtec.2017.04.017.
  • Nayak, M. K., G. C. Dash, and L. P. Singh. 2015. “Unsteady Radiative MHD Free Convective Flow and Mass Transfer of a Viscoelastic Fluid Past an Inclined Porous Plate.” Arabian Journal for Science and Engineering 40: 3029–3039. doi:10.1007/s13369-015-1805-8.
  • Nayak, M. K., Nader Karimi, Ali J. Chamkha, A. Sattar Dogonchi, Shreen El-Sapa, and Ahmed M. Galal. 2022. “Efficacy of Diverse Structures of Wavy Baffles on Heat Transfer Amplification of Double-Diffusive Natural Convection Inside a C-Shaped Enclosure Filled with Hybrid Nanofluid.” Sustainable Energy Technologies and Assessments 52: 102180. doi:10.1016/j.seta.2022.102180.
  • Nayak, M. K., F. Mabood, A. S. Dogonchi, and W. A. Khan. 2021a. “Electromagnetic Flow of SWCNT/MWCNT Suspensions with Optimized Entropy Generation and Cubic Auto Catalysis Chemical Reaction.” International Communications in Heat and Mass Transfer 120: 104996. doi:10.1016/j.icheatmasstransfer.2020.104996.
  • Nayak, M. K., F. Mabood, Iskander Tlili, A. S. Dogonchi, and W. A. Khan. 2021b. “Entropy Optimization Analysis on Nonlinear Thermal Radiative Electromagnetic Darcy–Forchheimer Flow of SWCNT/MWCNT Nanomaterials.” Applied Nanoscience 11: 399–418. doi:10.1007/s13204-020-01611-8.
  • Nield, D. A., and A. V. Kuznetsov. 2009. “The Cheng–Minkowycz Problem for Natural Convective Boundary-Layer Flow in a Porous Medium Saturated by a Nanofluid.” International Journal of Heat and Mass Transfer 52 (25-26): 5792–5795. doi:10.1016/j.ijheatmasstransfer.2009.07.024.
  • Sadeghi, M. S., Tahar Tayebi, A. S. Dogonchi, M. K. Nayak, and M. Waqas. 2021. “Analysis of Thermal Behavior of Magnetic Buoyancy-Driven Flow in Ferrofluid–Filled Wavy Enclosure Furnished with two Circular Cylinders.” International Communications in Heat and Mass Transfer 120: 104951. doi:10.1016/j.icheatmasstransfer.2020.104951.
  • Sarangi, M. K., D. N. Thatoi, M. K. Nayak, J. Prakash, K. Ramesh, and M. Azam. 2022. “Rotational Flow and Thermal Behavior of Ternary Hybrid Nanomaterials at Small and High Prandtl Numbers.” International Communications in Heat and Mass Transfer 138: 106337. doi:10.1016/j.icheatmasstransfer.2022.106337.
  • Shaw, S., S. S. Samantaray, A. Misra, M. K. Nayak, and O. D. Makinde. 2022. “Hydromagnetic Flow and Thermal Interpretations of Cross Hybrid Nanofluid Influenced by Linear, Nonlinear and Quadratic Thermal Radiations for any Prandtl Number.” International Communications in Heat and Mass Transfer 130: 105816. doi:10.1016/j.icheatmasstransfer.2021.105816.
  • Sulochana, C., G. P. Ashwinkumar, and N. Sandeep. 2016. “Transpiration Effect on Stagnation-Point Flow of a Carreau Nanofluid in the Presence of Thermophoresis and Brownian Motion.” Alexandria Engineering Journal 55 (2): 1151–1157. doi:10.1016/j.aej.2016.03.031.
  • Tiwari, Raj Kamal, and Manab Kumar 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. doi:10.1016/j.ijheatmasstransfer.2006.09.034.
  • Vajravelu, K., K. V. Prasad, P. S. Datti, and B. T. Raju. 2014. “MHD Flow and Heat Transfer of an Ostwald–de Waele Fluid Over an Unsteady Stretching Surface.” Ain Shams Engineering Journal 5 (1): 157–167. doi:10.1016/j.asej.2013.07.009.
  • Vajravelu, K., K. V. Prasad, P. S. Datti, and B. T. Raju. 2017. “Convective Flow, Heat and Mass Transfer of Ostwald-de Waele Fluid Over a Vertical Stretching Sheet.” Journal of King Saud University-Engineering Sciences 29 (1): 57–67. doi:10.1016/j.jksues.2014.04.009.
  • Waqas, Hassan, Umar Farooq, Dong Liu, Muhammad Abid, Muhammad Imran, and Taseer Muhammad. 2022a. “Heat Transfer Analysis of Hybrid Nanofluid Flow with Thermal Radiation Through a Stretching Sheet: A Comparative Study.” International Communications in Heat and Mass Transfer 138: 106303. doi:10.1016/j.icheatmasstransfer.2022.106303.
  • Waqas, Hassan, Umar Farooq, Dong Liu, Muhammad Imran, Taseer Muhammad, Ali Saleh Alshomrani, and Muhammad Umar. 2022b. “Comparative Analysis of Hybrid Nanofluids with Cattaneo-Christov Heat Flux Model: A Thermal Case Study.” Case Studies in Thermal Engineering 36: 102212. doi:10.1016/j.csite.2022.102212.
  • Waqas, Hassan, Muzamil Fida, Dong Liu, Umair Manzoor, and Taseer Muhammad. 2022c. “Numerical Simulation of Entropy Generation for Nanofluid with the Consequences of Thermal Radiation and Cattaneo-Christov Heat Flux Model.” International Communications in Heat and Mass Transfer 137: 106293. doi:10.1016/j.icheatmasstransfer.2022.106293.
  • Waqas, M., M. Ijaz Khan, T. Hayat, and A. Alsaedi. 2017. “Numerical Simulation for Magneto Carreau Nanofluid Model with Thermal Radiation: A Revised Model.” Computer Methods in Applied Mechanics and Engineering 324: 640–653. doi:10.1016/j.cma.2017.06.012.
  • Waqas, Hassan, Hamzah Naeem, Umair Manzoor, Sivanandam Sivasankaran, Ahmad Ayyad Alharbi, Ali Saleh Alshomrani, and Taseer Muhammad. 2022d. “Impact of Electro-Magneto-Hydrodynamics in Radiative Flow of Nanofluids Between two Rotating Plates.” Alexandria Engineering Journal 61 (2): 10307–10317. doi:10.1016/j.aej.2022.03.059.
  • Yu, Bai, Muhammad Ramzan, Saima Riasat, Seifedine Kadry, Yu-Ming Chu, and M. Y. Malik. 2021. “Impact of Autocatalytic Chemical Reaction in an Ostwald-de-Waele Nanofluid Flow Past a Rotating Disk with Heterogeneous Catalysis.” Scientific Reports 11 (1): 15526. doi:10.1038/s41598-021-94918-7.
  • Yusuf, Tunde A., Samuel O. Adesanya, and Jacob A. Gbadeyan. 2020. “Entropy Generation in MHD Williamson Nanofluid Over a Convectively Heated Stretching Plate with Chemical Reaction.” Heat Transfer 49 (4): 1982–1999. doi:10.1002/htj.21703.
  • Zidan, A. M., M. K. Nayak, Nader Karimi, A. Sattar Dogonchi, Ali J. Chamkha, Mohamed Bechir Ben Hamida, and Ahmed M. Galal. 2022. “Thermal Management and Natural Convection Flow of Nano Encapsulated Phase Change Material (NEPCM)-Water Suspension in a Reverse T-Shaped Porous Cavity Enshrining two hot Corrugated Baffles: A Boost to Renewable Energy Storage.” Journal of Building Engineering 53: 104550. doi:10.1016/j.jobe.2022.104550.

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