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Convective heat transfer in magnetized flow of nanofluids between two rotating parallel disks

  • Hassan Waqas EMAIL logo , Shan Ali Khan , Taseer Muhammad and Sumeira Yasmin
Published/Copyright: August 27, 2021
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International Journal of Chemical Reactor Engineering
From the journal International Journal of Chemical Reactor Engineering Volume 20 Issue 4

Abstract

Inspired by several implementations (metal mining, turbine disc, spinning disk, mechanical engineering and drawing of plastic film) of nanoliquid flow between rotating disks, we have reported a theoretical analysis on magnetohydrodynamic flow of kerosene base liquid containing three different nanoparticles namely manganese-zinc ferrite, cobalt ferrite and nickel-zinc ferrite between two parallel rotating-disks. Thermal radiation and convection thermal-conditions are considered. Furthermore, the significant properties of induced magnetic field are accounted to control the flow and thermal transport phenomenon. Furthermore, the temperature distribution is improved by employing Cattaneo-Christov heat flux. This communication is critical in the engineering sector due to different implementations including power technology, cooling reactors, fuel cells etc. The system of nonlinear higher order dimensionless equations is found by applying appropriate similarities-transformations. The exact solution of such strong nonlinear equations is not possible therefore we construct the numerical solution by employing bvp4c (shooting approach) in the MATLAB. Physical trends of velocities, pressure and thermal fields are discussed in detail. The outcomes indicate that stretching parameter of lower disk causes improvement in axial and radial fluid velocity. Fluid radial velocity near the lower disk is improved for growing Reynolds number. Moreover, the thermal field is enhanced for growing thermal Biot parameter at lower disk.

Keywords: Cattaneo-Christovheat flux; cobalt-ferrite particles; kerosene oil; manganese-zinc ferrite particles; MATLAB; nickel-zinc ferrite particles
Corresponding author: Hassan Waqas, Department of Mathematics, Government College University Faisalabad, Layyah Campus, Layyah 31200, Pakistan, E-mail:

Funding source: King Khalid University

Award Identifier / Grant number: R.G.P-1/178/42

  1. Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University, Abha, Saudi Arabia for funding this work through research groups program under grant number R.G.P-1/178/42.

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

References

Abbas, N., M. Y. Malik, and S. Nadeem. 2020. “Stagnation Flow of Hybrid Nanoparticles with MHD and Slip Effects.” Heat Transfer—Asian Research 49 (1): 180–96, https://doi.org/10.1002/htj.21605.Search in Google Scholar

Abo-Dahab, S. M., M. A. Abdelhafez, F. Mebarek-Oudina, and S. M. Bilal. 2021. “MHD Casson Nanofluid Flow Over Nonlinearly Heated Porous Medium in Presence of Extending Surface Effect with Suction/Injection.” Indian Journal of Physics: 1–15, https://doi.org/10.1007/s12648-020-01923-z.Search in Google Scholar

Alfvén, H. 1942. “Existence of Electromagnetic-Hydrodynamic Waves.” Nature 150: 405–6, https://doi.org/10.1038/150405d0.Search in Google Scholar

Al-Hossainy, A. F., and M. R. Eid. 2020. “Structure, DFT Calculations and Heat Transfer Enhancement in [ZnO/PG+ H2O] C Hybrid Nanofluid Flow as a Potential Solar Cell Coolant Application in a Double-Tube.” Journal of Materials Science: Materials in Electronics 31 (18): 15243–57, https://doi.org/10.1007/s10854-020-04089-w.Search in Google Scholar

Al-Mubaddel, F. S., U. Farooq, K. Al-Khaled, S. Hussain, S. U. Khan, M. O. Aijaz, M. Rahimi-Gorji, and H. Waqas. 2021. “Double Stratified Analysis for Bioconvection Radiative Flow of Sisko Nanofluid with Generalized Heat/Mass Fluxes.” Physica Scripta 96: 055004, https://doi.org/10.1088/1402-4896/abeba2.Search in Google Scholar

Biswal, U., S. Chakraverty, B. K. Ojha, and A. K. Hussein. 2021. “Numerical Simulation of Magnetohydrodynamics Nanofluid Flow in a Semi-Porous Channel with a New Approach in the Least Square Method.” International Communications in Heat and Mass Transfer 121: 105085, https://doi.org/10.1016/j.icheatmasstransfer.2020.105085.Search in Google Scholar

Cattaneo, C. 1948. “Sulla conduzione del calore.” Atti del Seminario Matematico e Fisico dell’ Universita di Modena 3: 83–101.10.1007/978-3-642-11051-1_5Search in Google Scholar

Choi, U. S. 1995. “Enhancing Thermal Conductivity of Fluids with Nanoparticles.” In Developments and Applications of Non-Newtonian Flows, FED, Vol. 231/MD-vol. 66, edited by D. A. Siginer, and H. P. Wang, 99–105. New York: ASME.Search in Google Scholar

Christov, C. A. 2009. “On Frame Indiferent Formulation of the Maxwell– Cattaneo Model of Fnite-Speed Heat Conduction.” Mechanics Research Communications 36 (4): 481–6, https://doi.org/10.1016/j.mechrescom.2008.11.003.Search in Google Scholar

Dawar, A., Z. Shah, A. Tassaddiq, P. Kumam, S. Islam, and W. Khan. 2021. “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: 100869, https://doi.org/10.1016/j.csite.2021.100869.Search in Google Scholar

Eid, M. R., and M. A. Nafe. 2020. “Thermal Conductivity Variation and Heat Generation Effects on Magneto-Hybrid Nanofluid Flow in a Porous Medium with Slip Condition.” Waves in Random and Complex Media: 1–25, https://doi.org/10.1080/17455030.2020.1810365.Search in Google Scholar

Ellahi, R., S. M. Sait, N. Shehzad, and Z. Ayaz. 2019. “A Hybrid Investigation on Numerical and Analytical Solutions of Electro-Magnetohydrodynamics Flow of Nanofluid Through Porous Media with Entropy Generation.” International Journal of Numerical Methods for Heat & Fluid Flow 30: 834–54, https://doi.org/10.1108/hff-06-2019-0506.Search in Google Scholar

Esmaeili, M., Hashemi Mehne, H. and Ganji, D.D. (2021), “On the existence and uniqueness of solution for squeezing nanofluid flow problem and Green–Picard’s iteration”, International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 31 No. 9, pp. 2986-3008. https://doi.org/10.1108/HFF-07-2020-0427Search in Google Scholar

Farooq, U., H. Waqas, M. I. Khan, S. U. Khan, Y. M. Chu, and S. Kadry. 2021. “Thermally Radioactive Bioconvection Flow of Carreau Nanofluid with Modified Cattaneo-Christov Expressions and Exponential Space-Based Heat Source.” Alexandria Engineering Journal 60 (3): 3073–86, https://doi.org/10.1016/j.aej.2021.01.050.Search in Google Scholar

Fourier, J. 1822. Theorie Analytique De La Chaleur. Père et Fils: Chez Firmin Didot.Search in Google Scholar

Ghobadi, A. H., M. Armin, S. G. Hassankolaei, and M. Gholinia Hassankolaei. 2020. “A New Thermal Conductivity Model of CNTs/C2H6O2–H2O Hybrid Base Nanoliquid between Two Stretchable Rotating Discs with Joule Heating.” International Journal of Ambient Energy: 1–12, https://doi.org/10.1080/01430750.2020.1824942.Search in Google Scholar

Gopal, D., S. Saleem, S. Jagadha, F. Ahmad, A. O. Almatroud, and N. Kishan. 2021. “Numerical Analysis of Higher Order Chemical Reaction on Electrically MHD Nanofluid Under Influence of Viscous Dissipation.” Alexandria Engineering Journal 60 (1): 1861–71, https://doi.org/10.1016/j.aej.2020.11.034.Search in Google Scholar

Goyal, R., N. Sharma, and R. Bhargava. 2021. “GFEM Analysis of MHD Nanofluid Flow Toward a Power‐Law Stretching Sheet in the Presence of Thermodiffusive Effect Along with Regression Investigation.” Heat Transfer 50 (1): 234–56, https://doi.org/10.1002/htj.21873.Search in Google Scholar

Gul, T., and K. Firdous. 2018. “The Experimental Study to Examine the Stable Dispersion of the Graphene Nanoparticles and to Look at the GO–H2O Nanofluid Flow Between Two Rotating Disks.” Applied Nanoscience 8 (7): 1711–27, https://doi.org/10.1007/s13204-018-0851-4.Search in Google Scholar

Haider, F., T. Hayat, and A. Alsaedi. 2021. “Flow of Hybrid Nanofluid Through Darcy-Forchheimer Porous Space with Variable Characteristics.” Alexandria Engineering Journal 60 (3): 3047–56, https://doi.org/10.1016/j.aej.2021.01.021.Search in Google Scholar

Hayat, T., M. Kanwal, S. Qayyum, and A. Alsaedi. 2020a. “Entropy Generation Optimization of MHD Jeffrey Nanofluid Past a Stretchable Sheet with Christov Double Diffusions and Entropy Generation in MHD Second Grade Nanofluid Flow by a Riga Wall.” International Communications in Heat and Mass Transfer 119: 104824, https://doi.org/10.1016/j.icheatmasstransfer.2020.104824.Search in Google Scholar

Hayat, T., R. Riaz, A. Aziz, and A. Alsaedi. 2020b. “Influence of Arrhenius Activation Energy in MHD Flow of Third Grade Nanofluid Over a Nonlinear Stretching Surface with Convective Heat and Mass Conditions.” Physica A: Statistical Mechanics and its Applications 549: 124006, https://doi.org/10.1016/j.physa.2019.124006.Search in Google Scholar

Hayat, T., M. W. Ahmad, S. A. Khan, and A. Alsaedi. 2020c. “Irreversibility Analysis in Squeezing Nanofluid Flow with Thermal Radiation.” Multidiscipline Modeling in Materials and Structures 17: 636–53, https://doi.org/10.1108/mmms-06-2020-0152.Search in Google Scholar

Hayat, T., S. Qayyum, M. Ijaz Khan, and A. Alsaedi. 2017. “Current Progresses About Probable Error and Statistical Declaration for Radiative Two Phase Flow Using Ag–H2O and Cu–H2O Nanomaterials.” International Journal of Hydrogen Energy 42: 29107–20, https://doi.org/10.1016/j.ijhydene.2017.09.124.Search in Google Scholar

Hazarika, S., S. Ahmed, and A. J. Chamkha. 2021. “Investigation of Nanoparticles Cu, Ag and Fe3O4 on Thermophoresis and Viscous Dissipation of MHD Nanofluid Over a Stretching Sheet in a Porous Regime: A Numerical Modeling.” Mathematics and Computers in Simulation 182: 819–37, https://doi.org/10.1016/j.matcom.2020.12.005.Search in Google Scholar

Hosseinzadeh, K., A. R. Mogharrebi, A. Asadi, M. Sheikhshahrokhdehkordi, S. Mousavisani, and D. D. Ganji. 2019. “Entropy Generation Analysis of Mixture Nanofluid (H2O/C2H6O2)–Fe3O4 Flow between Two Stretching Rotating Disks Under the Effect of MHD and Nonlinear Thermal Radiation.” International Journal of Ambient Energy: 1–13, https://doi.org/10.1080/01430750.2019.1681294.Search in Google Scholar

Hunt, A. J. 1978. Small Particle Heat Exchangers, Report LBL-78421 for the US Department of Energy. Berkeley: Lawrence Berkeley Laboratory.10.2172/6070780Search in Google Scholar

Jakeer, S., P. B. Reddy, A. M. Rashad, and H. A. Nabwey. 2021. “Impact of Heated Obstacle Position on Magneto-Hybrid Nanofluid Flow in a Lid-Driven Porous Cavity with Cattaneo-Christov Heat Flux Pattern.” Alexandria Engineering Journal 60 (1): 821–35, https://doi.org/10.1016/j.aej.2020.10.011.Search in Google Scholar

Khan, L. A., M. Raza, N. A. Mir, and R. Ellahi. 2020. “Effects of Different Shapes of Nanoparticles on Peristaltic Flow of MHD Nanofluids Filled in an Asymmetric Channel.” Journal of Thermal Analysis and Calorimetry 140 (3): 879–90, https://doi.org/10.1007/s10973-019-08348-9.Search in Google Scholar

Khan, S. A., T. Saeed, M. I. Khan, T. Hayat, M. I. 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): 31579–92, https://doi.org/10.1016/j.ijhydene.2019.10.053.Search in Google Scholar

Kiyani, M. Z., T. Hayat, I. Ahmad, M. Waqas, and A. Alsaedi. 2021. “Bidirectional Williamson Nanofluid Flow Towards Stretchable Surface with Modified Darcy’s Law.” Surfaces and Interfaces 23: 100872, https://doi.org/10.1016/j.surfin.2020.100872.Search in Google Scholar

Kumar, B., G. S. Seth, M. K. Singh, and A. J. Chamkha. 2020. “Carbon Nanotubes (CNTs)-Based Flow Between Two Spinning Discs with Porous Medium, Cattaneo–Christov (Non-Fourier) Model and Convective Thermal Condition.” Journal of Thermal Analysis and Calorimetry: 1–12.10.1007/s10973-020-09952-wSearch in Google Scholar

Mahanthesh, B., and J. Mackolil. 2021. “Flow of Nanoliquid Past a Vertical Plate with Novel Quadratic Thermal Radiation and Quadratic Boussinesq Approximation: Sensitivity Analysis.” International Communications in Heat and Mass Transfer 120: 105040, https://doi.org/10.1016/j.icheatmasstransfer.2020.105040.Search in Google Scholar

Mahdy, A. E. N., F. M. Hady, and H. A. Nabwey. 2021. “Unsteady Homogeneous-Heterogeneous Reactions in MHD Nanofluid Mixed Convection Flow Past a Stagnation Point of an Impulsively Rotating Sphere.” Thermal Science 25 (1 Part A): 243–56, https://doi.org/10.2298/tsci190712388m.Search in Google Scholar

Nayak, M. K., F. Mabood, and O. D. Makinde. 2020. “Heat Transfer and Buoyancy‐Driven Convective MHD Flow of Nanofluids Impinging Over a Thin Needle Moving in a Parallel Stream Influenced by Prandtl Number.” Heat Transfer 49 (2): 655–72, https://doi.org/10.1002/htj.21631.Search in Google Scholar

Nayak, M. K., S. Shaw, M. I. Khan, V. S. Pandey, and M. Nazeer. 2020. “Flow and Thermal Analysis on Darcy-Forchheimer Flow of Copper-Water Nanofluid Due to a Rotating Disk: A Static and Dynamic Approach.” Journal of Materials Research and Technology 9 (4): 7387–408, https://doi.org/10.1016/j.jmrt.2020.04.074.Search in Google Scholar

Ramesh, K., S. U. Khan, M. Jameel, M. I. Khan, Y. M. Chu, and S. Kadry. 2020. “Bioconvection Assessment in Maxwell Nanofluid Configured by a Riga Surface with Nonlinear Thermal Radiation and Activation Energy.” Surfaces and Interfaces 21: 100749, https://doi.org/10.1016/j.surfin.2020.100749.Search in Google Scholar

Sarafraz, M. M., I. Tlili, Z. Tian, A. R. Khan, and M. R. Safaei. 2020. “Thermal Analysis and Thermo-Hydraulic Characteristics of Zirconia–Water Nanofluid Under a Convective Boiling Regime.” Journal of Thermal Analysis and Calorimetry 139 (4): 2413–22, https://doi.org/10.1007/s10973-019-08435-x.Search in Google Scholar

Shafiq, A., I. Khan, G. Rasool, E. S. M. Sherif, and A. H. Sheikh. 2020. “Influence of Single- and Multi-Wall Carbon Nanotubes on Magnetohydrodynamic Stagnation Point Nanofluid Flow Over Variable Thicker Surface with Concave and Convex Effects.” Mathematics 8 (1): 104, https://doi.org/10.3390/math8010104.Search in Google Scholar

Shah, N. A., I. L. Animasaun, J. D. Chung, A. Wakif, F. I. Alao, and C. S. K. Raju. 2021. “Significance of Nanoparticle’s Radius, Heat Flux Due to Concentration Gradient, and Mass Flux Due to Temperature Gradient: The Case of Water Conveying Copper Nanoparticles.” Scientific Reports 11 (1): 1–11, https://doi.org/10.1038/s41598-021-81417-y.Search in Google Scholar

Shehzad, S. A., M. Sheikholeslami, T. Ambreen, A. Saleem, and A. Shafee. 2021. “Numerically Simulated Behavior of Radiative Fe3O4 and Multi-Walled Carbon Nanotube Hybrid Nanoparticle Flow in Presence of Lorentz Force.” Applied Mathematics and Mechanics 42 (3): 347–56, https://doi.org/10.1007/s10483-021-2693-9.Search in Google Scholar

Suresh, S., K. Venkitaraj, P. Selvakumar, and M. Chandrasekar. 2011. “Experimental Investigation of Mixed Convection with Synthesis of Al2O3 − Water Hybrid Nanofluids Using Two Step Method and its Thermo Physical Properties.” Colloids Surface 8: 41–8, https://doi.org/10.1016/j.colsurfa.2011.08.005.Search in Google Scholar

Tassaddiq, A. 2021. “Impact of Cattaneo-Christov Heat Flux Model on MHD Hybrid Nano-Micropolar Fluid Flow and Heat Transfer with Viscous and Joule Dissipation Effects.” Scientific Reports 11 (1): 1–14, https://doi.org/10.1038/s41598-020-77419-x.Search in Google Scholar

Turkyilmazoglu, M. 2016. “Flow and Heat Simultaneously Induced by Two Stretchable Rotating Disks.” Physics of Fluids 28 (4): 043601, https://doi.org/10.1063/1.4945651.Search in Google Scholar

Waqas, H., U. Farooq, R. Naseem, S. Hussain, and M. Alghamdii. 2021. “Impact of MHD Radiative Flow of Hybrid Nanofluid over a Rotating Disk.” Case Studies in Thermal Engineering 26: 101015, https://doi.org/10.1016/j.csite.2021.101015.Search in Google Scholar

Zangooee, M. R., K. Hosseinzadeh, and D. D. Ganji. 2019. “Hydrothermal Analysis of MHD Nanofluid (TiO2–GO) Flow between Two Radiative Stretchable Rotating Disks Using AGM.” Case Studies in Thermal Engineering 14: 100460, https://doi.org/10.1016/j.csite.2019.100460.Search in Google Scholar
Received: 2021-05-01
Accepted: 2021-08-17
Published Online: 2021-08-27

© 2021 Walter de Gruyter GmbH, Berlin/Boston

Articles in the same Issue

  1. Frontmatter
  2. Editorial
  3. Preface: Special issue of “Multiphase Flows in Process Engineering: Recent Experimental, Theoretical and Numerical Developments”
  4. Special Issue Articles
  5. Effects of periodic cavitation on steam–water flow regime transition and mixing near steam nozzle exit
  6. Effects of boundary walls on the properties of settling spheres
  7. Convective heat transfer in magnetized flow of nanofluids between two rotating parallel disks
  8. Nonlinear radiative transport of hybrid nanofluids due to moving sheet with entropy generation
  9. Modeling evaluation on solid-liquid mixing characteristics in a dislocated guide impeller stirred tank
  10. Experimental and simulation study on mixing time and suspension quality of liquid-solid flow field in stirred reactor with draft tube
  11. Heat transfer enhancement of hybrid nanofluids over porous cone
  12. Numerical study of a fractal-like tree node micromixer based on Murray’s law
  13. Floating particles mixing characteristics in an eccentric stirred tank coupled with dislocated fractal impellers
https://doi.org/10.1515/ijcre-2021-0110
Keywords for this article
Cattaneo-Christovheat flux; cobalt-ferrite particles; kerosene oil; manganese-zinc ferrite particles; MATLAB; nickel-zinc ferrite particles

Articles in the same Issue

  1. Frontmatter
  2. Editorial
  3. Preface: Special issue of “Multiphase Flows in Process Engineering: Recent Experimental, Theoretical and Numerical Developments”
  4. Special Issue Articles
  5. Effects of periodic cavitation on steam–water flow regime transition and mixing near steam nozzle exit
  6. Effects of boundary walls on the properties of settling spheres
  7. Convective heat transfer in magnetized flow of nanofluids between two rotating parallel disks
  8. Nonlinear radiative transport of hybrid nanofluids due to moving sheet with entropy generation
  9. Modeling evaluation on solid-liquid mixing characteristics in a dislocated guide impeller stirred tank
  10. Experimental and simulation study on mixing time and suspension quality of liquid-solid flow field in stirred reactor with draft tube
  11. Heat transfer enhancement of hybrid nanofluids over porous cone
  12. Numerical study of a fractal-like tree node micromixer based on Murray’s law
  13. Floating particles mixing characteristics in an eccentric stirred tank coupled with dislocated fractal impellers
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