37
Views
0
CrossRef citations to date
0
Altmetric
Research Article

Numerical treatment for the boundary layer flow of Sutterby nanofluid through porous medium with planktonic microorganisms over a stretching Riga cylindrical tube

, & ORCID Icon
Article: 2345251 | Received 02 Jan 2024, Accepted 11 Apr 2024, Published online: 30 Apr 2024

References

  • Abbas, Amir, Aziz Khan, Thabet Abdeljawad, and Muhammad Aslam. 2023. “Numerical Simulation of Variable Density and Magnetohydrodynamics Effects on Heat Generating and Dissipating Williamson Sakiadis Flow in a Porous Space: Impact of Solar Radiation and Joule Heating.” Heliyon 9 (11). Article Number e21726.
  • Abbas, S. Z., W. A. Khan, H. Sun, M. Ali, M. Waqas, M. Irfan, and S. Ahmad. 2019. “Modeling and Analysis of von Kármán Swirling Flow for Oldroyd-B Nanofluid Featuring Chemical Processes.” Journal of the Brazilian Society of Mechanical Sciences and Engineering 41 (12): 556. https://doi.org/10.1007/s40430-019-2050-y.
  • Abbas, Nadeem, S. Nadeem, and M. Y. Malik. 2020. “Theoretical Study of Micropolar Hybrid Nanofluid Over Riga Channel with Slip Conditions.” Physica A: Statistical Mechanics and its Applications 551: 124083. https://doi.org/10.1016/j.physa.2019.124083.
  • Abbas, Z., M. S. Shabbir, and N. Ali. 2018. “Numerical Study of Magnetohydrodynamic Pulsatile Flow of Sutterby Fluid Through an Inclined Overlapping Arterial Stenosis in the Presence of Periodic Body Acceleration.” Results in Physics 9: 753–762. https://doi.org/10.1016/j.rinp.2018.03.020.
  • Abdelsalam, Sara I., W. Abbas, Ahmed M. Megahed, and Ahmed A.M. Said. 2023. “A Comparative Study on the Rheological Properties of Upper Convected Maxwell Fluid Along a Permeable Stretched Sheet.” Heliyon 9 (12). Article Number: e22740. https://doi.org/10.1016/j.heliyon.2023.e22740.
  • Abdelsalam, Sara I., Abdullah Madhi Alsharif, Y. Abd Elmaboud, and A. I. Abdellateef. 2023. “Assorted Kerosene-based Nanofluid Across a Dual-zone Vertical Annulus with Electroosmosis.” Heliyon 9 (5). Article Number e15916. https://doi.org/10.1016/j.heliyon.2023.e15916.
  • Abdelsalam, Sara I., and M. M. Bhatti. 2023. “Unraveling the Nature of Nano-diamonds and Silica in a Catheterized Tapered Artery: Highlights into Hydrophilic Traits.” Scientific Reports 13 (1): 5684. https://doi.org/10.1038/s41598-023-32604-6.
  • Abdelsalam, Sara I., A. Magesh, P. Tamizharasi, and A. Z. Zaher. 2023. “Versatile Response of a Sutterby Nanofluid Under Activation Energy: Hyperthermia Therapy.” International Journal of Numerical Methods for Heat & Fluid Flow 34 (2): 408–428.
  • Abdelsalam, S. I., and A. Z. Zaher. 2023. “Biomimetic Amelioration of Zirconium Nanoparticles on a Rigid Substrate Over Viscous Slime—a Physiological Approach.” Applied Mathematics and Mechanics 44 (9): 1563–1576. https://doi.org/10.1007/s10483-023-3030-7.
  • Ahmad, S., M. Farooq, M. Javed, and Aisha Anjum. 2018. “Double Stratification Effects in Chemically Reactive Squeezed Sutterby Fluid Flow with Thermal Radiation and Mixed Convection.” Results in Physics 8: 1250–1259. https://doi.org/10.1016/j.rinp.2018.01.043.
  • Ahmed, Sameh E., Anas A.M. Arafa, and Sameh A. Hussein. 2023a. “Bioconvective Flow of a Variable Properties Hybrid Nanofluid Over a Spinning Disk with Arrhenius Activation Energy, Soret and Dufour Impacts.” Numerical Heat Transfer, Part A: Applications 85 (6): 900–922.
  • Ahmed, Sameh E., Anas A.M. Arafa, and Sameh A. Hussein. 2023b. “Cattaneo-Christov Double-diffusion and Hydrothermal Flow of Sutterby tri, Hybrid and Mono-nanofluids with Oxytactic Microorganism.” International Journal of Ambient Energy 44 (1): 2200–2213. https://doi.org/10.1080/01430750.2023.2231463.
  • Ahmed, Sameh E., Anas A.M. Arafa, and Sameh A. Hussein. 2023c. “Dissipated-radiative Compressible Flow of Nanofluids Over Unsmoothed Inclined Surfaces with Variable Properties.” Numerical Heat Transfer, Part A: Applications 84 (5): 507–528. https://doi.org/10.1080/10407782.2022.2141389.
  • Ahmed, Sameh E., Anas A.M. Arafa, and Sameh A. Hussein. 2023d. “A Novel Model of Non-linear Radiative Williamson Nanofluid Flow Along a Vertical Wavy Cone in the Presence of Gyrotactic Microorganisms.” International Journal of Modelling and Simulation, 1–15. https://doi.org/10.1080/02286203.2023.2180023.
  • Ahmed, Sameh E., Anas A.M. Arafa, Sameh A. Hussein, and Zeinab Morsy. 2023a. “Time-dependent Squeezing Flow of Variable Properties Ternary Nanofluids Between Rotating Parallel Plates with Variable Magnetic and Electric Fields.” Numerical Heat Transfer, Part A: Applications, 1–30. https://doi.org/10.1080/10407782.2023.2272292.
  • Ahmed, Sameh E., Anas A.M. Arafa, Sameh A. Hussein, and Zehba A.S. Raizah. 2022. “Novel Treatments for the Bioconvective Radiative Ellis Nanofluids Wedge Flow with Viscous Dissipation and an Activation Energy.” Case Studies in Thermal Engineering 40: 102510. https://doi.org/10.1016/j.csite.2022.102510.
  • Ahmed, Sameh E., Zehba Raizah, Anas A.M. Arafa, and Sameh A. Hussein. 2023b. “FEM Treatments for MHD Highly Mixed Convection Flow Within Partially Heated Double-lid Driven Odd-shaped Enclosures Using Ternary Composition Nanofluids.” International Communications in Heat and Mass Transfer 145: 106854. https://doi.org/10.1016/j.icheatmasstransfer.2023.106854.
  • Akbar, Noreen Sher, Abdelhalim Ebaid, and Z. H. Khan. 2015. “Numerical Analysis of Magnetic Field Effects on Eyring-powell Fluid Flow Towards a Stretching Sheet.” Journal of Magnetism and Magnetic Materials 382: 355–358. https://doi.org/10.1016/j.jmmm.2015.01.088.
  • Akram, Safia, Maria Athar, Khalid Saeed, and Alia Razia. 2022. “Impact of Slip on Nanomaterial Peristaltic Pumping of Magneto-Williamson Nanofluid in an Asymmetric Channel Under Double-diffusivity Convection.” Pramana 96 (1): 57. https://doi.org/10.1007/s12043-021-02287-7.
  • Akram, Safia, Maria Athar, Khalid Saeed, and Mir Yasir Umair. 2022. “Nanomaterials Effects on Induced Magnetic Field and Double-diffusivity Convection on Peristaltic Transport of Prandtl Nanofluids in Inclined Asymmetric Channel.” Nanomaterials and Nanotechnology 12: 18479804211048630.
  • Ali, Bagh, Sajjad Hussain, Yufeng Nie, Liaqat Ali, and Shabih Ul Hassan. 2020a. “Finite Element Simulation of Bioconvection and Cattaneo-Christov Effects on Micropolar Based Nanofluid Flow Over a Vertically Stretching Sheet.” Chinese Journal of Physics 68: 654–670. https://doi.org/10.1016/j.cjph.2020.10.021.
  • Ali, Liaqat, Xiaomin Liu, Bagh Ali, Saima Mujeed, and Sohaib Abdal. 2019. “Finite Element Simulation of Multi-slip Effects on Unsteady MHD Bioconvective Micropolar Nanofluid Flow Over a Sheet with Solutal and Thermal Convective Boundary Conditions.” Coatings 9 (12): 842. https://doi.org/10.3390/coatings9120842.
  • Ali, Bagh, P. K. Pattnaik, Rizwan Ali Naqvi, Hassan Waqas, and Sajjad Hussain. 2021. “Brownian Motion and Thermophoresis Effects on Bioconvection of Rotating Maxwell Nanofluid Over a Riga Plate with Arrhenius Activation Energy and Cattaneo-Christov Heat Flux Theory.” Thermal Science and Engineering Progress 23: 100863. https://doi.org/10.1016/j.tsep.2021.100863.
  • Ali, Mehboob, Muhammad Shahzad, Faisal Sultan, and Waqar Azeem Khan. 2020. “Numerical Analysis of Chemical Reaction and Non-linear Radiation for Magneto-cross Nanofluid Over a Stretching Cylinder.” Applied Nanoscience 10 (8): 3259–3267. https://doi.org/10.1007/s13204-020-01385-z.
  • Ali, Mehboob, Faisal Sultan, Waqar Azeem Khan, Muhammad Shahzad, Hina Arif, and Muhammad Irfan. 2021ba. “Characteristics of Generalized Fourier’s Heat Flux and Homogeneous-heterogeneous Reactions in 3D Flow of Non-Newtonian Cross Fluid.” International Journal of Numerical Methods for Heat & Fluid Flow 31 (11): 3304–3318. https://doi.org/10.1108/HFF-04-2019-0334.
  • Ali, Mehboob, Faisal Sultan, Muhammad Shahzad, and Waqar Azeem Khan. 2021. “Influence of Homogeneous-Heterogeneous Reaction Model for 3D Cross Fluid Flow: A Comparative Study.” Indian Journal of Physics 95 (2): 315–323. https://doi.org/10.1007/s12648-020-01706-6.
  • Aman, Sidra, Ilyas Khan, Zulkhibri Ismail, and Mohd Zuki Salleh. 2018. “Impacts of Gold Nanoparticles on MHD Mixed Convection Poiseuille Flow of Nanofluid Passing Through a Porous Medium in the Presence of Thermal Radiation, Thermal Diffusion and Chemical Reaction.” Neural Computing and Applications 30 (3): 789–797. https://doi.org/10.1007/s00521-016-2688-7.
  • Anjum, Nazash, W. A. Khan, A. Hobiny, M. Azam, M. Waqas, and M. Irfan. 2022. “Numerical Analysis for Thermal Performance of Modified Eyring Powell Nanofluid Flow Subject to Activation Energy and Bioconvection Dynamic.” Case Studies in Thermal Engineering 39: 102427. https://doi.org/10.1016/j.csite.2022.102427.
  • Arafa, Anas A.M., Sameh A. Hussein, and Sameh E. Ahmed. 2023. “Hydrothermal Bioconvective Bödewadt Ternary Composition Nanofluids Flow Over a Stretching Rotating Disk Through a Heat Generating Porous Medium.” Journal of Magnetism and Magnetic Materials 586: 171174. https://doi.org/10.1016/j.jmmm.2023.171174.
  • Aziz, A., W. A. Khan, and I. Pop. 2012. “Free Convection Boundary Layer Flow Past a Horizontal Flat Plate Embedded in Porous Medium Filled By Nanofluid Containing Gyrotactic Microorganisms.” International Journal of Thermal Sciences 56: 48–57. https://doi.org/10.1016/j.ijthermalsci.2012.01.011.
  • Basha, H. Thameem, R. Sivaraj, V. Ramachandra Prasad, and O. Anwar Beg. 2021. “Entropy Generation of Tangent Hyperbolic Nanofluid Flow Over a Circular Cylinder in the Presence of Nonlinear Boussinesq Approximation: A Non-Similar Solution.” Journal of Thermal Analysis and Calorimetry 143 (3): 2273–2289. https://doi.org/10.1007/s10973-020-09981-5.
  • Basha, H. Thameem, R. Sivaraj, A. Subramanyam Reddy, Ali J. Chamkha, and H. M. Baskonus. 2020. “A Numerical Study of the Ferromagnetic Flow of Carreau Nanofluid Over a Wedge, Plate and Stagnation Point with a Magnetic Dipole.” AIMS Mathematics 5 (5): 4197–4220. https://doi.org/10.3934/math.2020268.
  • Batra, R. L., and Mohamed Eissa. 1994. “Helical Flow of a Sutterby Model Fluid.” Polymer-Plastics Technology and Engineering 33 (4): 489–501. https://doi.org/10.1080/03602559408010743.
  • Bhattacharyya, A., R. Kumar, S. Bahadur, and G. S. Seth. 2022. “Modeling and Interpretation of Peristaltic Transport of Eyring–Powell Fluid Through Uniform/non-Uniform Channel with Joule Heating and Wall Flexibility.” Chinese Journal of Physics 80: 167–182. https://doi.org/10.1016/j.cjph.2022.06.018.
  • Bhatti, Muhammad Mubashir, Kambiz Vafai, and Sara I. Abdelsalam. 2023. “The Role of Nanofluids in Renewable Energy Engineering.” In 2671. MDPI.
  • Cheong, H. T., Zailan Siri, and S. Sivasankaran. 2013. “Effect of Aspect Ratio on Natural Convection in an Inclined Rectangular Enclosure with Sinusoidal Boundary Condition.” International Communications in Heat and Mass Transfer 45: 75–85. https://doi.org/10.1016/j.icheatmasstransfer.2013.04.017.
  • Choi, S. U. S., and Jeffrey A. Eastman. 1995. “Enhancing Thermal Conductivity of Fluids with Nanoparticles.” In Argonne National Lab. (ANL), Argonne, IL.
  • Çolak, Andaç Batur, Anum Shafiq, and Tabassum Naz Sindhu. 2022. “Modeling of Darcy–Forchheimer Bioconvective Powell Eyring Nanofluid with Artificial Neural Network.” Chinese Journal of Physics 77: 2435–2453. https://doi.org/10.1016/j.cjph.2022.04.004.
  • Das, Sarit K., Stephen U. Choi, Wenhua Yu, and T. Pradeep. 2007. Nanofluids: Science and Technology. Hoboken, NJ: John Wiley & Sons, Inc.
  • El-Dabe, Nabil T., Mahmoud E. Gabr, Abd-Elhafez A. Elshekhipy, and Sameh A. Zaher. 2020. “The Motion of a non-Newtonian Nanofluid Over a Semi-infinite Moving Vertical Plate Through Porous Medium with Heat and Mass Transfer.” Thermal Science 24 (2 Part B): 1311–1321. https://doi.org/10.2298/TSCI180604021E.
  • Eldabe, N. T., M. E. Gabr, and S. A. Zaher. 2018. “Two Dimensional Boundary Layer Flow with Heat and Mass Transfer of Magneto Hydrodynamic Non-Newtonian Nanofluid Through Porous Medium Over a Semi-infinite Moving Plate.” Microsystem Technologies 24 (7): 2919–2928. https://doi.org/10.1007/s00542-018-3717-5.
  • Eldabe, Nabil T., Mahmoud E. Gabr, Abdullah Z. Zaher, and Sameh A. Zaher. 2021. “The Effect of Joule Heating and Viscous Dissipation on the Boundary Layer Flow of a Magnetohydrodynamics Micropolar-Nanofluid Over a Stretching Vertical Riga Plate.” Heat Transfer 50 (5): 4788–4805. https://doi.org/10.1002/htj.22102.
  • Elkoumy, S. R., E. I. Barakat, and Sara I. Abdelsalam. 2013. “Hall and Transverse Magnetic Field Effects on Peristaltic Flow of a Maxwell Fluid through a Porous Medium.”.
  • Hayat, T., Fuad Alsaadi, M. Rafiq, and B. Ahmad. 2017. “On Effects of Thermal Radiation and Radial Magnetic Field for Peristalsis of Sutterby Liquid in a Curved Channel with Wall Properties.” Chinese Journal of Physics 55 (5): 2005–2024. https://doi.org/10.1016/j.cjph.2017.08.004.
  • Hussain, Z., and Waqar Azeem Khan. 2022. “Impact of Thermal-solutal Stratifications and Activation Energy Aspects on Time-dependent Polymer Nanoliquid.” Waves in Random and Complex Media, 1–11. https://doi.org/10.1080/17455030.2022.2128229.
  • Hussain, Zakir, Nazar Khan, Taza Gul, Mehboob Ali, Muhammad Shahzad, and Faisal Sultan. 2020. “Instability of Magneto Hydro Dynamics Couette Flow for Electrically Conducting Fluid Through Porous Media.” Applied Nanoscience 10 (12): 5125–5134. https://doi.org/10.1007/s13204-020-01307-z.
  • Hussain, Z., A. U. Rehman, R. Zeeshan, F. Sultan, T. A. Hamid, M. Ali, and M. Shahzad. 2020. “MHD Instability of Hartmann Flow of Nanoparticles Fe2O3 in Water.” Applied Nanoscience 10 (12): 5149–5165. https://doi.org/10.1007/s13204-020-01308-y.
  • Hussein, Sameh A. 2023a. ““Numerical Simulation for Peristaltic Transport of Radiative and Dissipative MHD Prandtl Nanofluid Through the Vertical Asymmetric Channel in the Presence of Double Diffusion Convection.” Numerical Heat Transfer, Part B: Fundamentals 85 (4): 385–411. https://doi.org/10.1080/10407790.2023.2235886.
  • Hussein, Sameh A. 2023b. ““Simulating and Interpretation of MHD Peristaltic Transport of Dissipated Eyring–Powell Nanofluid Flow Through Vertical Divergent/Nondivergent Channel.” Numerical Heat Transfer, Part A: Applications 84 (10): 1124–1148. https://doi.org/10.1080/10407782.2023.2171928.
  • Hussein, Sameh A. 2023c. “Simulation and Interpretation of MHD Peristaltic Transport of Dissipated Third Grade Nanofluid Flow Across Asymmetric Channel Under the Influences of Rheological Characteristics and Inclined Magnetic Field as Well as Heat and Mass Convection.” International Journal of Modelling and Simulation, 1–22. https://doi.org/10.1080/02286203.2023.2240557.
  • Hussein, Sameh A., Sameh E. Ahmed, and Anas A.M. Arafa. 2023a. “Electrokinetic Peristaltic Bioconvective Jeffrey Nanofluid Flow with Activation Energy for Binary Chemical Reaction, Radiation and Variable Fluid Properties.” ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik 103 (1): e202200284. https://doi.org/10.1002/zamm.202200284.
  • Hussein, Sameh A., Sameh E. Ahmed, and Anas A.M. Arafa. 2023b. ““Numerical Treatment of Thermal and Concentration Convection Along with Induced Magnetic Field on Peristaltic Pumping of a Magnetic Six-constant Jeffrey Nanofluid Through a Vertical Divergent Channel.” Numerical Heat Transfer, Part A: Applications 84 (8): 877–904. https://doi.org/10.1080/10407782.2023.2165580.
  • Hussein, Sameh A., and Nabil T. Eldabe. 2023. “Peristaltic Pumping of Boron Nitride-Ethylene Glycol Nanofluid Through a Complex Wavy Micro-channel Under the Effect of Induced Magnetic Field and Double Diffusive.” Scientific Reports 13 (1): 2622. https://doi.org/10.1038/s41598-023-29301-9.
  • Khan, Ambreen A., Alina Arshad, R. Ellahi, and Sadiq M. Sait. 2023. “Heat Transmission in Darcy-Forchheimer Flow of Sutterby Nanofluid Containing Gyrotactic Microorganisms.” International Journal of Numerical Methods for Heat & Fluid Flow 33 (1): 135–152. https://doi.org/10.1108/HFF-03-2022-0194.
  • Khan, Sudheer, Wang Shu, Mehboob Ali, Faisal Sultan, and Muhammad Shahzad. 2020. “Numerical Simulation for MHD Flow of Casson Nanofluid by Heated Surface.” Applied Nanoscience 10 (12): 5391–5399. https://doi.org/10.1007/s13204-020-01546-0.
  • Khan, W. A., Md Jashim Uddin, and A. I. Md Ismail. 2013. “Free Convection of Non-Newtonian Nanofluids in Porous Media with Gyrotactic Microorganisms.” Transport in Porous Media 97 (2): 241–252. https://doi.org/10.1007/s11242-012-0120-z.
  • Koponen, A., D. Kandhai, E. Hellen, M. Alava, A. Hoekstra, Markku Kataja, K. Niskanen, Peter Sloot, and J. Timonen. 1998. “Permeability of Three-dimensional Random Fiber Webs.” Physical Review Letters 80 (4): 716. https://doi.org/10.1103/PhysRevLett.80.716.
  • Kumaran, G., R. Sivaraj, V. Ramachandra Prasad, O. Anwar Beg, Ho-Hon Leung, and F. Kamalov. 2021. “Numerical Study of Axisymmetric Magneto-Gyrotactic Bioconvection in Non-Fourier Tangent Hyperbolic Nano-functional Reactive Coating Flow of a Cylindrical Body in Porous Media.” The European Physical Journal Plus 136 (11): 1107. https://doi.org/10.1140/epjp/s13360-021-02099-z.
  • Malik, M. Y., T. Salahuddin, Arif Hussain, and S. Bilal. 2015. “MHD Flow of Tangent Hyperbolic Fluid Over a Stretching Cylinder: Using Keller Box Method.” Journal of Magnetism and Magnetic Materials 395: 271–276. https://doi.org/10.1016/j.jmmm.2015.07.097.
  • Naseem, Faiza, Anum Shafiq, Lifeng Zhao, and Anum Naseem. 2017. “MHD Biconvective Flow of Powell Eyring Nanofluid Over Stretched Surface.” AIP Advances 7 (6). Article Number: 065013. https://doi.org/10.1063/1.4983014.
  • Naz, Rahila, Mughira Noor, Tasawar Hayat, Maryiam Javed, and Ahmed Alsaedi. 2020. “Dynamism of Magnetohydrodynamic Cross Nanofluid with Particulars of Entropy Generation and Gyrotactic Motile Microorganisms.” International Communications in Heat and Mass Transfer 110: 104431. https://doi.org/10.1016/j.icheatmasstransfer.2019.104431.
  • Nazar, R., L. Tham, I. Pop, and D. B. Ingham. 2011. “Mixed Convection Boundary Layer Flow from a Horizontal Circular Cylinder Embedded in a Porous Medium Filled with a Nanofluid.” Transport in Porous Media 86 (2): 517–536. https://doi.org/10.1007/s11242-010-9637-1.
  • Raptis, A., and C. Perdikis. 1983. “Flow of a Viscous Fluid Through a Porous Medium Bounded by a Vertical Surface.” International Journal of Engineering Science 21 (11): 1327–1330. https://doi.org/10.1016/0020-7225(83)90130-1.
  • Rasool, Ghulam, Ting Zhang, Ali J Chamkha, Anum Shafiq, Iskander Tlili, and Gullnaz Shahzadi. 2020. “Entropy Generation and Consequences of Binary Chemical Reaction on MHD Darcy–Forchheimer Williamson Nanofluid Flow Over Non-Linearly Stretching Surface.” Entropy 22 (1): 18. https://doi.org/10.3390/e22010018.
  • Rehman, Khalil Ur, Qasem M Al-Mdallal, Iskander Tlili, and M. Y. Malik. 2020. “Impact of Heated Triangular Ribs on Hydrodynamic Forces in a Rectangular Domain with Heated Elliptic Cylinder: Finite Element Analysis.” International Communications in Heat and Mass Transfer 112: 104501. https://doi.org/10.1016/j.icheatmasstransfer.2020.104501.
  • Rehman, Ali, Ma Chau Khun, Dolat Khan, Kamal Shah, and Thabet Abdeljawad. 2023. “Stability Analysis of the Shape Factor Effect of Radiative on MHD Couple Stress Hybrid Nanofluid.” South African Journal of Chemical Engineering 46: 394–403. https://doi.org/10.1016/j.sajce.2023.09.004.
  • Rehman, Khalil Ur, M. Y. Malik, O. D. Makinde, and A. A. Malik. 2017. “A Comparative Study of Nanofluids Flow Yields by an Inclined Cylindrical Surface in a Double Stratified Medium.” The European Physical Journal Plus 132 (10): 427. https://doi.org/10.1140/epjp/i2017-11679-1.
  • Rehman, Khalil Ur, Wasfi Shatanawi, and Qasem M. Al-Mdallal. 2022. “A Comparative Remark on Heat Transfer in Thermally Stratified MHD Jeffrey Fluid Flow with Thermal Radiations Subject to Cylindrical/Plane Surfaces.” Case Studies in Thermal Engineering 32: 101913. https://doi.org/10.1016/j.csite.2022.101913.
  • Saeid, Nawaf H. 2005. “Natural Convection in Porous Cavity with Sinusoidal Bottom Wall Temperature Variation.” International Communications in Heat and Mass Transfer 32 (3-4): 454–463. https://doi.org/10.1016/j.icheatmasstransfer.2004.02.018.
  • Scheidegger, Adrian E. 1957. The Physics of Flow Through Porous Media. Toronto: University of Toronto Press.
  • Shafiq, Anum, Andaç Batur Çolak, and Tabassum Naz Sindhu. 2023a. “Analyzing Activation Energy and Binary Chemical Reaction Effects with Artificial Intelligence Approach in Axisymmetric Flow of Third Grade Nanofluid Subject to Soret and Dufour Effects.” Heat Transfer Research 54 (3): 75–94.
  • Shafiq, Anum, Andaç Batur Çolak, and Tabassum Naz Sindhu. 2023b. “Development of an Intelligent Computing System Using Neural Networks for Modeling Bioconvection Flow of Second-grade Nanofluid with Gyrotactic Microorganisms.” Numerical Heat Transfer, Part B: Fundamentals, 1–18. https://doi.org/10.1080/10407790.2023.2273512.
  • Shafiq, Anum, Andaç Batur Çolak, and Tabassum Naz Sindhu. 2023c. “Modeling of Darcy-Forchheimer Magnetohydrodynamic Williamson Nanofluid Flow Towards Nonlinear Radiative Stretching Surface Using Artificial Neural Network.” International Journal for Numerical Methods in Fluids 95 (9): 1502–1520. https://doi.org/10.1002/fld.5216.
  • Shafiq, Anum, Andaç Batur Çolak, and Tabassum Naz Sindhu. 2023d. “Modeling of Soret and Dufour’s Convective Heat Transfer in Nanofluid Flow Through a Moving Needle with Artificial Neural Network.” Arabian Journal for Science and Engineering 48 (3): 2807–2820. https://doi.org/10.1007/s13369-022-06945-9.
  • Shafiq, Anum, Andaç Batur Çolak, and Tabassum Naz Sindhu. 2023e. “Optimization of the Numerical Treatment of the Darcy–Forchheimer Flow of Ree–Eyring Fluid with Chemical Reaction by Using Artificial Neural Networks.” International Journal for Numerical Methods in Fluids 95 (1): 176–192. https://doi.org/10.1002/fld.5147.
  • Shafiq, Anum, Andaç Batur Çolak, and Tabassum Naz Sindhu. 2023f. “Significance of EMHD Graphene Oxide (GO) Water Ethylene Glycol Nanofluid Flow in a Darcy–Forchheimer Medium by Machine Learning Algorithm.” The European Physical Journal Plus 138 (3): 213. https://doi.org/10.1140/epjp/s13360-023-03798-5.
  • Shafiq, Anum, Andaç Batur Çolak, and Tabassum Naz Sindhu. 2024. “Comparative Analysis to Study the Darcy–Forchheimer Tangent Hyperbolic Flow Towards Cylindrical Surface Using Artificial Neural Network: An Application to Parabolic Trough Solar Collector.” Mathematics and Computers in Simulation 216: 213–230. https://doi.org/10.1016/j.matcom.2023.09.014.
  • Shafiq, Anum, Fateh Mebarek-Oudina, T. N. Sindhu, and G. Rasool. 2022. “Sensitivity Analysis for Walters-B Nanoliquid Flow Over a Radiative Riga Surface by RSM.” Scientia Iranica 29 (3): 1236–1249.
  • Shafiq, Anum, Ghulam Rasool, Chaudry Masood Khalique, and Sohail Aslam. 2020. “Second Grade Bioconvective Nanofluid Flow with Buoyancy Effect and Chemical Reaction.” Symmetry 12 (4): 621. https://doi.org/10.3390/sym12040621.
  • Shahzad, Muhammad, Mehboob Ali, Faisal Sultan, Waqar Azeem Khan, and Zakir Hussain. 2021. “Theoretical Analysis of Cross-nanofluid Flow with Nonlinear Radiation and Magnetohydrodynamics.” Indian Journal of Physics 95 (3): 481–488. https://doi.org/10.1007/s12648-019-01669-3.
  • Sharma, Ram Prakash, S. R. Mishra, Seema Tinker, and B. K. Kulshrestha. 2022. “Effect of Non-linear Thermal Radiation and Binary Chemical Reaction on the Williamson Nanofluid Flow Past a Linearly Stretching Sheet.” International Journal of Applied and Computational Mathematics 8 (4): 171. https://doi.org/10.1007/s40819-022-01362-w.
  • Shoaib, Muhammad, Shafaq Naz, Kottakkaran Sooppy Nisar, Muhammad Asif Zahoor Raja, Sana Aslam, and Iftikhar Ahmad. 2023. “MHD Casson Nanofluid in Darcy-Forchheimer Porous Medium in the Presence of Heat Source and Arrhenious Activation Energy: Applications of Neural Networks.” International Journal of Modelling and Simulation 43 (4): 438–461. https://doi.org/10.1080/02286203.2022.2091973.
  • Sindhu, Tabassum Naz, and Abdon Atangana. 2021. “Reliability Analysis Incorporating Exponentiated Inverse Weibull Distribution and Inverse Power law.” Quality and Reliability Engineering International 37 (6): 2399–2422. https://doi.org/10.1002/qre.2864.
  • Sivasankaran, S., and M. Bhuvaneswari. 2013. “Natural Convection in a Porous Cavity with Sinusoidal Heating on Both Sidewalls.” Numerical Heat Transfer, Part A: Applications 63 (1): 14–30. https://doi.org/10.1080/10407782.2012.715985.
  • Sparrow, Ephraim M. 2018. Radiation Heat Transfer. New York: Routledge.
  • Sultan, Faisal, Waqar Azeem Khan, Muhammad Shahzad, Mehboob Ali, and Zakir Hussain. 2020. “Physical Assessments on Variable Thermal Conductivity and Heat Generation/Absorption in Cross Magneto-flow Model.” Journal of Thermal Analysis and Calorimetry 140 (3): 1069–1078. https://doi.org/10.1007/s10973-019-08957-4.
  • Sultan, Faisal, Soma Mustafa, Waqar Azeem Khan, Muhammad Shahzad, Mehboob Ali, Wajiha Adnan, and Sumaira Rehman. 2020. “A Numerical Treatment on Rheology of Mixed Convective Carreau Nanofluid with Variable Viscosity and Thermal Conductivity.” Applied Nanoscience 10 (8): 3295–3303. https://doi.org/10.1007/s13204-020-01294-1.
  • Tabrez, M., and Waqar Azeem Khan. 2022. “Exploring Physical Aspects of Viscous Dissipation and Magnetic Dipole for Ferromagnetic Polymer Nanofluid Flow.” Waves in Random and Complex Media, 1–20. https://doi.org/10.1080/17455030.2022.2135794.
  • Tham, Leony, Roslinda Nazar, and Ioan Pop. 2013. “Mixed Convection Flow Over a Solid Sphere Embedded in a Porous Medium Filled by a Nanofluid Containing Gyrotactic Microorganisms.” International Journal of Heat and Mass Transfer 62: 647–660. https://doi.org/10.1016/j.ijheatmasstransfer.2013.03.012.
  • Ullah, Subhan, Ikram Ullah, Amir Ali, Kamal Shah, and Thabet Abdeljawad. 2024. “Investigation of Cross-diffusion Effect on Radiative Jeffery-Hamel Flow in Convergent/Divergent Stretchable Channel with Lorentz Force and Joule Heating.” Alexandria Engineering Journal 86: 289–297. https://doi.org/10.1016/j.aej.2023.11.054.
  • Varol, Yasin, Hakan F Oztop, and Ioan Pop. 2008. “Numerical Analysis of Natural Convection for a Porous Rectangular Enclosure with Sinusoidally Varying Temperature Profile on the Bottom Wall.” International Communications in Heat and Mass Transfer 35 (1): 56–64. https://doi.org/10.1016/j.icheatmasstransfer.2007.05.015.
  • Varshney, C. L. 1979. “Fluctuating Flow of Viscous Fluid through a Porous Medium Bounded by a Porous Plate”.
  • Wang, Liqiu, and Jing Fan. 2010. “Nanofluids Research: Key Issues.” Nanoscale Research Letters 5 (8): 1241–1252. https://doi.org/10.1007/s11671-010-9638-6.
  • Waqas, H., M. Imran, Taseer Muhammad, Sadiq M. Sait, and R. Ellahi. 2021. “On Bio-convection Thermal Radiation in Darcy–Forchheimer Flow of Nanofluid with Gyrotactic Motile Microorganism Under Wu’s Slip Over Stretching Cylinder/Plate.” International Journal of Numerical Methods for Heat & Fluid Flow 31 (5): 1520–1546. https://doi.org/10.1108/HFF-05-2020-0313.
  • Wen-Jeng, Chang, and Hsiao Chi-Feng. 1993. “Natural Convection in a Vertical Cylinder Filled with Anisotropic Porous Media.” International Journal of Heat and Mass Transfer 36 (13): 3361–3367. https://doi.org/10.1016/0017-9310(93)90017-Z.
  • Wooding, R. A. 1976. “Large-scale Geothermal Field Parameters and Convection Theory.” In Applied Mathematics Division, DSIR, Wellington.
  • Xu, Hang, and Ioan Pop. 2014. “Fully Developed Mixed Convection Flow in a Horizontal Channel Filled by a Nanofluid Containing Both Nanoparticles and Gyrotactic Microorganisms.” European Journal of Mechanics-B/Fluids 46: 37–45. https://doi.org/10.1016/j.euromechflu.2014.02.005.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.