Entropy Analysis within Rotating Cylinders of Annulus for Giesekus Viscoelastic Fluid

Document Type: Research Paper

Author

Department of Chemical Engineering, Amirkabir University of Technology, Tehran, Iran

Abstract

Entropy analysis, along with convective heat transfer within rotating cylinders of the annulus, is presented using a purely analytical approach for Giesekus rheological model. Two different types of boundary conditions are considered: (a) the constant and different temperature at walls, (b) constant heat flux at the outer wall, and constant temperature at the inner wall. Also, the derived velocity and temperature profiles are coupled in the entropy equation for obtaining the volumetric entropy-generation and the Bejan number expressions. Moreover, the effects of Deborah number (De), mobility factor (α), group parameter (Br/Ω), Brinkman number (Br), and velocity ratio (β) on the above parameters are investigated. Ultimately, results indicate that increment of Brinkman number and group parameters increases irreversibility except when both cylinders rotate with identical angular velocity in the same direction.
 

Keywords


 

  1. Mohseni MM, Rashidi F (2017) Analysis of axial annular flow for viscoelastic fluid with temperature dependent properties, International Journal of Thermal Sciences, 120: 162-174. ##
  2. Riaz A, Zeeshan A, Ahmad S, Razaq A, Zubair M (2019) Effects of external magnetic field on non-newtonian two phase fluid in an annulus with peristaltic pumping, Journal of Magnetics, 24, 1: 62-69. ##
  3. Abdelmalek Z, Khan SU, Waqas H, Riaz A, Khan IA, Tlili I (2020) A mathematical model for bioconvection flow of Williamson nanofluid over a stretching cylinder featuring variable thermal conductivity, activation energy and second-order slip, Journal of Thermal Analysis and Calorimetry, 1-13. ##
  4. Mohseni MM, Tissot G, Badawi M (2020) Effects of wall slip on convective heat transfers of giesekus fluid in microannulus, Journal of Heat transfer, 142: 8. ##
  5. Mohseni MM, Rashidi F (2015) Axial annular flow of a Giesekus fluid with wall slip above the critical shear stress, Journal of Non-Newtonian Fluid Mechanics, 223: 20-27. ##
  6. Riaz A, Gul A, Khan I, Ramesh K, Khan SU, Baleanu D, Nisar KS (2020) Mathematical analysis of entropy generation in the flow of viscoelastic nanofluid through an annular region of two asymmetric annuli having flexible surfaces, Coatings, 10, 3: 213. ##
  7. Riaz A, Razaq A, Awan AU (2017) Magnetic field and permeability effects on Jeffrey fluid in eccentric tubes having flexible porous boundaries, Journal of Magnetics, 22, 4: 642-648. ##
  8. Tong, AT, Yu M, Ozbayoglu E, Takach N (2020) Numerical simulation of non-Newtonian fluid flow in partially blocked eccentric annuli, Journal of Petroleum Science and Engineering, 107368. ##
  9. Mohseni MM, Rashidi F, (2010) Viscoelastic fluid behavior in annulus using Giesekus model, Journal of non-newtonian fluid mechanics, 165, 21-22: 1550-1553. ##
  10. Hashemabadi S, Mirnajafizadeh S (2010) Analysis of viscoelastic fluid flow with temperature dependent properties in plane Couette flow and thin annuli, Applied mathematical modelling, 34, 4: 919-930. ##
  11. Giesekus H (1982) A simple constitutive equation for polymer fluids based on the concept of deformation-dependent tensorial mobility, Journal of Non-Newtonian Fluid Mechanics, 11, 1-2: 69-109. ##
  12. Jouyandeh M, Mohseni MM, Rashidi F (2017) Tangential flow analysis of giesekus model in concentric annulus with both cylinders rotation, Journal of Applied Fluid Mechanics, 10: 6. ##
  13. Jouyandeh M, Mohseni MM, Rashidi F (2014) Forced convection heat transfer of Giesekus viscoelastic fluid in concentric annulus with both cylinders rotation, Journal of Petroleum Science and Technology, 4, 2: 1-9. ##
  14. Sonntag RE, Borgnakke C, Van Wylen GJ (1998) Fundamentals of thermodynamics, 6th ed., Wiley, New York, 1-2257. ##
  15. Bejan A (1979) A study of entropy generation in fundamental convective heat transfer, Journal of Heat Transfer, 101, 4: 718-725. ##
  16. Bejan A (1982) Second-law analysis in heat transfer and thermal design, Advances in Heat Transfer, 15, 1: 1-58. ##
  17. Yilbas BS (2001) Entropy analysis of concentric annuli with rotating outer cylinder, Exergy, An International Journal, 1, 1: 60-66. ##
  18. Mahmud S., Fraser RA (2002) Second law analysis of heat transfer and fluid flow inside a cylindrical annular space, Exergy, An International Journal, 2, 4: 322-329. ##
  19. Mahmud S, Fraser RA (2003) Analysis of entropy generation inside concentric cylindrical annuli with relative rotation. International Journal of Thermal Sciences, 42, 5: 513-521. ##
  20. Mahmud S, Fraser RA (2006) Second law analysis of forced convection in a circular duct for non-Newtonian fluids, Energy, 31, 12: 2226-2244. ##
  21. Mahian O, Mahmud S, Pop I (2012) Analysis of first and second laws of thermodynamics between two isothermal cylinders with relative rotation in the presence of MHD flow, International Journal of Heat and Mass Transfer, 55, 17-18, 4808-4816. ##
  22. Mahian O, Oztop H, Pop I, Mahmud S, Wongwises S (2013) Entropy generation between two vertical cylinders in the presence of MHD flow subjected to constant wall temperature. International communications in heat and mass transfer, 44: 87-92. ##
  23. Mahian O, Oztop HF, Pop I, Mahmud S, Wongwises S (2013) Design of a vertical annulus with MHD flow using entropy generation analysis, Journal of Thermal Science, 17, 4: 1013-1022. ##
  24. Kahraman A., Yürüsoy M (2008) Entropy generation due to non-Newtonian fluid flow in annular pipe with relative rotation: constant viscosity case, Journal of Theoretical and Applied Mechanics, 46, 1: 69-83. ##
  25. Yilbas BS, Yürüsoy M, Pakdemirli M (2004) Entropy analysis for non-Newtonian fluid flow in annular pipe: constant viscosity case, Entropy, 6, 3: 304-315. ##
  26. Yürüsoy M, YilbaŞ B, Pakdemirli M (2006) Non-Newtonian fluid flow in annular pipes and entropy generation: temperature-dependent viscosity. Sadhana, 31, 6: 683-695. ##
  27. Mirzazadeh M, Shafaei A, Rashidi F (2008) Entropy analysis for non-linear viscoelastic fluid in concentric rotating cylinders, International Journal of Thermal Sciences, 47, 12: 1701-1711. ##
  28. Mohseni MM, Rashidi F (2015) Second law analysis of Giesekus viscoelastic fluid for axial annular flow, International Journal of Exergy, 16, 4: 404-429. ##
  29. Riaz A, Bhatti MM, Ellahi R, Zeeshan A, and Sait MS (2020) Mathematical analysis on an asymmetrical wavy motion of blood under the influence entropy generation with convective boundary conditions, Symmetry, 12, 1: 102. ##
  30. Mohseni MM, Rashidi F, Movagar MRK (2015) Analysis of forced convection heat transfer for axial annular flow of Giesekus viscoelastic fluid, Korean Chemical Engineering Research, 53, 1, 91-102. ##
  31. Mohseni MM, Tissot G, Badawi M (2018) Forced convection heat transfer of Giesekus fluid with wall slip above the critical shear stress in pipes, International Journal of Heat and Fluid Flow, 71, 442-450. ##
  32. D’Alessandro G, de Monte F (2019) Optimal experiment design for thermal property estimation using a boundary condition of the fourth kind with a time-limited heating period, International Journal of Heat and Mass Transfer, 134, 1268-1282. ##
  33. Giesekus H (1983) Stressing behaviour in simple shear flow as predicted by a new constitutive model for polymer fluids, Journal of non-newtonian fluid mechanics, 12, 3: 367-374. ##
  34. Bird RB, Armstrong RC, Hassager O (1987) Dynamics of polymeric liquids, Fluid mechanics, 1. ##
  35. Bejan A (2013) Entropy generation minimization: the method of thermodynamic optimization of finite-size systems and finite-time processes, CRC press. ##
  36. Paoletti S, Rispoli F, Sciubba E (1989) Calculation of exergetic losses in compact heat exchanger passages, in ASME AES. ##