THERMAL SCIENCE

International Scientific Journal

EFFECT OF THERMAL RADIATION ON NATURAL CONVICTION OF A NANOFLUID IN A SQUARE CAVITY WITH A SOLID BODY

ABSTRACT
This investigation is to concentrate on the effect of thermal radiation on free convection of a Cu-water nanofluid in a differentially heated cavity containing a solid square block placed in the middle. The upper and lower dividers of the cavity are kept as thermally protected; The coupled equations of mass, momentum, and energy are governed the mathematical model. Finite difference method is used to solve the governing equations. All internal surfaces of the cavity are deemed as a diffused emitters and reflectors for radiation. The impacts of relevant parameters, the Rayleigh number (103≤Ra≤106), volume fraction of nanoparticles (0.0≤Ф≤0.04) and thermal radiation (Rd = 0, 1, 5, and 10), are explored. For various values of the flow parameters, the values for local and average Nusselt number are calculated. It is observed that the local and averaged Nusselt numbers are increased with an increase in the Rayleigh number and volume fraction of nanoparticles. Also, the temperature distribution of the fluid increases with an increase in the radiation parameter.
KEYWORDS
PAPER SUBMITTED: 2019-10-03
PAPER REVISED: 2020-03-12
PAPER ACCEPTED: 2020-05-25
PUBLISHED ONLINE: 2020-06-07
DOI REFERENCE: https://doi.org/10.2298/TSCI191003182Q
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 3, PAGES [1949 - 1961]
REFERENCES
  1. Choi, S. U., Eastman J. A., Enhancing Thermal Conductivity of Fluids with Nanoparticles, Argonne National Lab., Lemont, Ill, USA, 1995
  2. Hussein, A. K., et al., Three-Dimensional Unsteady Natural Convection and Entropy Generation in an Inclined Cubical Trapezoidal Cavity with an Isothermal Bottom Wall, Alexandria Engineering Journal, 55 (2016), 2, pp. 741-755
  3. Shen, Z. G., et al., Effect of Tilt Angle on the Stability of Free Convection Heat Transfer in an Upward-Facing Cylindrical Cavity: Numerical Analysis, International Journal of Thermal Sciences, 107 (2016), Sept., pp. 13-24
  4. Bilgen, E., Oztop, H., Natural Convection Heat Transfer in Partially Open Inclined Square Cavities, International Journal of Heat and Mass Transfer, 48 (2005), 8, pp. 1470-1479
  5. Iwatsu, R., et al., Mixed Convection in a Driven Cavity with a Stable Vertical Temperature Gradient, International Journal of Heat and Mass Transfer, 36 (1993), 6, pp. 1601-1608
  6. Cheong, H. T., et al., Natural Convection in a Wavy Porous Cavity with Sinusoidal Heating and Internal Heat Generation, International Journal of Numerical Methods for Heat & Fliud-flow, 27 (2017), 2, pp. 287-309
  7. Hayat, T., et al., Mixed Convective Three-Dimensional Flow of Williamson Nanofluid Subject to Chemical Reaction, International Journal of Heat and Mass Transfer, 127 (2018), Part A, pp. 422-429
  8. Hayat, T., et al., Radiative Flow of Micropolar Nanofluid Accounting Thermophoresis and Brownian Moment, International Journal of Hydrogen Energy, 42 (2017), 26, pp. 16821-16833
  9. Khan, M. I., et al., Behavior of Stratification Phenomenon in Flow of Maxwell Nanomaterial with Mo-tile Gyrotactic Microorganisms in the Presence of Magnetic Field, International Journal of Mechanical Sciences, 131-132, (2017), Oct., pp. 426-434
  10. Hayat, T., et al., Entropy Generation in Flow with Silver and Copper Nanoparticles, Colloids and Sur-faces A: Physicochemical and Engineering Aspects, 539 (2018), Feb., pp. 335-346
  11. Khanafer, K., et al., Buoyancy-Driven Heat Transfer Enhancement in a Two-Dimensional Enclosure Utilizing Nanofluids, Int. journal of Heat and Mass Transfer 46 (2003), 19, pp. 3639-3653
  12. Sivasankaran, S., et al., Natural Convection of Nanofluids in a Cavity with Linearlyvarying Wall Temperature, Maejo International Journal of Science and Technology, 4 (2010), 3, pp. 468-482
  13. Tiwari, R. K., Das, M. K., Heat Transfer Augmentation in a Two-Sided Lid-Driven Differentially Heat-ed Square Cavity Utilizing Nanofluids, Int. Journal of Heat and Mass Transfer 50 (2018), 9-10, pp. 2002-2018
  14. Hayat, T., et al., Numerical Simulation for Melting Heat Transfer and Radiation Effects in Stagnation Point Flow of Carbon-Water Nanofluid, Computer methods in applied mechanics and engineering, 315, (2017), Mar., pp. 1011-1024
  15. Hayat, T., et al., Stagnation Point Flow with Cattaneo-Christov Heat Flux and Homogeneous-Heterogeneous Reaction,. Journal of Molecular Liquids, 220, (2016), Aug., pp. 49-55
  16. Hayat, T., et al., Thermally Stratified Stretching Flow with Cattaneo-Christov Heat Flux, International Journal of Heat and Mass Transfer, 106, (2017), Mar., pp. 289-294
  17. Hayat, T., et al., Impact of Cattaneo-Christov Heat Flux Model in Flow of Variable Thermal Conductivity Fluid Over a Variable Thicked Surface, International Journal of Heat and Mass Transfer, 99, (2016), Aug., pp. 702-710
  18. Hayat, T., et al., Mathematical Modeling of Non-Newtonian Fluid with Chemical Aspects: A New Formulation and Results by Numerical Technique, Colloids and Surfaces A: Physicochemical and Engi-neering Aspects, 518, (2017), Apr., pp. 263-272
  19. Farooq, M., et al., MHD Stagnation Point Flow of Viscoelastic Nanofluid with Non-Linear Radiation Effects, Journal of molecular liquids, 221, (2016), Sept., pp. 1097-1103
  20. Khan, M. I., et al., A Comparative Study of Casson Fluid with Homogeneous-Heterogeneous Reactions, Journal of colloid and interface science, 498 (2017), July, pp. 85-90
  21. Qayyum, S., et al., A Framework for Nonlinear Thermal Radiation and Homogeneous-Heterogeneous Reactions Flow Based on Silver-Water and Copper-Water Nanoparticles: A Numerical Model for Prob-able Error, Results in physics, 7, (2017), June, pp. 1907-1914
  22. Khan, M. I., et al., Entropy Optimization and Quartic Autocatalysis in MHD Chemically Reactive Stag-nation Point Flow of Sisko Nanomaterial, International Journal of Heat and Mass Transfer, 127, (2018), Part C, pp. 829-837
  23. Hayat, T., et al., New Thermodynamics of Entropy Generation Minimization with Nonlinear Thermal Radiation and Nanomaterials, Physics Letters A, 382, (2018), 11, pp. 749-760
  24. Sivasankaran, S., et al., MHD Mixed Convection of Cu-Water Nanofluid in a Two-Sided Lid-Driven Porous Cavity with a Partial Slip, Numerical Heat Transfer 70 (2016), 12, pp. 1356-1370
  25. Goodarzi, M., et al., Investigation of Heat Transfer and Pressure Drop of a Counter Flow Corrugated Plate Heat Exchanger Using MWCNT Based Nanofluids, Int. communications in heat and mass transfer 66 (2015), Aug., pp.172-179
  26. Esfe, M. H., et al., Numerical Simulation of Natural Convection Around an Obstacle Placed in an Enclo-sure Filled with Different Types of Nanofluids, Heat Transfer Research 45 (2014), 3, pp. 279-292
  27. Hayat, T., et al., Entropy Generation in Magnetohydrodynamic Radiative Flow Due to Rotating Disk in Presence of Viscous Dissipation and Joule Heating, Physics of Fluids, 30, (2018), 1, 017101
  28. Karimipour, A., New Correlation for Nusselt Number of Nanofluid with Ag/Al2O3/Cu Nanoparticles in a Microchannel Considering Slip Velocity and Temperature Jump by Using Lattice Boltzmann Method, Int. Journal of Thermal Sciences 91 (2015), May, pp. 146-146
  29. Md Kasmani, R., et al., Analytical and Numerical Study on Convection of Nanofluid Past a Moving Wedge with Soret and Dufour Effects, Int. Journal of Numerical Methods for Heat & Fliud-flow 27 (2017), 10, pp. 2333-2354
  30. Elbashbeshy, E. M., et al., Effects of Thermal Radiation and Magnetic Field on Unsteady Mixed Con-vection Flow and Heat Transfer Over an Exponentially Stretching Surface with Suction in the Presence of Internal Heat Generation/Absorption, Journal of the Egyptian Mathematical Society, 20 (2012), 3, pp. 215-222
  31. Safaei, M. R., et al., The Investigation of Thermal Radiation and Free Convection Heat Transfer Mechanisms of Nanofluid Inside a Shallow Cavity by Lattice Boltzmann Method, Physica A: Statistical Me-chanics and its Applications 509 (2018), Nov., pp. 515-535
  32. Ridouane, E. H., et al., Interaction Between Natural Convection and Radiation in a Square Cavity Heat-ed from Below, Numerical Heat Transfer, Part A: Applications 45 (2004), 3, pp. 289-311
  33. Ridouane, E. H., et al., Effects of Surface Radiation on Natural Convection in a Rayleigh-Bénard Square Enclosure: Steady and Unsteady Conditions, Heat and mass transfer, 42 (2006), 3, 214-225
  34. Kogawa, T., Influence of Radiation Effect on Turbulent Natural Convection in Cubic Cavity at Normal Temperature Atmospheric Gas, Int. Journal of Heat and Mass Transfer, 104 (2017), Jan., pp. 456- 466
  35. Alsabery, A., Effects of Finite Wall Thickness and Sinusoidal Heating on Convection in Nanofluid-Saturated Local Thermal Non-Equilibrium Porous Cavity, Physica A: Statistical Mechanics and its Applications 470 (2017), Mar., pp. 20-38
  36. De Vahl Davis, G., Jones, I., Natural Convection in a Square Cavity, International Journal for Numerical Methods in Fluids, 3 (1983), 3, pp. 249-264
  37. Bilgen, E., Yeder, R. B., Natural Convection in Enclosure with Heating and Cooling by Sinusoidal Temperature Profiles on One Side, International Journal of Heat and Mass Transfer, 50 (2007), 1-2, pp. 139-150
  38. Ho, C. J., et al., Numerical Simulation of Natural Convection of Nanofluid in a Square Enclosure: Effects Due to Uncertainties of Viscosity and Thermal Conductivity, International Journal of Heat and Mass Transfer, 51 (2008), 17-18, pp. 4506-4516
  39. Cheong, H., et al., Effect of Aspect Ratio on Natural Convection in an Inclined Rectangular Enclosure with Sinusoidal Boundary Condition, International Communications in Heat and Mass Transfer, 45 (2013), July, pp. 75-85

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