Issue
Korean Journal of Chemical Engineering,
Vol.39, No.10, 2800-2809, 2022
Modeling and optimization of dynamic viscosity of oil-based nanofluids containing alumina particles and carbon nanotubes by response surface methodology (RSM)
The dynamic viscosity of MWCNT-Al2O3 (40 : 60)/SAE50 nanofluid (NF) is investigated. NF viscosity modeling is also performed using the response surface methodology (RSM). Several different models are proposed, including modified and unmodified cubic, quartic and fifth models, and the best modeling is selected using the parameters R2, Adjusted R2, Predicted R2 and Square root of the residual mean square (Std. Dev.). The results show that the fifth-order model has values of 0.9997, 0.9997, 0.9996 and 2.39 for R2, Adjusted R2, Predicted R2 and Std. Dev. parameters, respectively, which indicates high accuracy of modeling. Using the perturbation diagram, it was found that among the parameters of temperature, solid volume fraction (φ) and shear rate (γ), the temperature parameter has the greatest effect on the dynamic viscosity of NF. The trend of changes in viscosity also shows that φ and γ have little effect on viscosity. Due to the importance of low viscosity in fluid flow and pumping, the optimal values of NF viscosity are presented, including dynamic viscosity equal to 108.092 cP in φ =0.063 and T=49.998℃ and γ =7,866.7786 s-1.
[References]
  1. Zhang N, Jiao B, Ye Y, Kong Y, Du X, Liu R, Cong B, Yu L, Jia S, Jia K, Energy Conv. Manag., 253, 115124, 2022
  2. Ye Y, Jiao B, Kong Y, Liu R, Du X, Jia K, Yan S, Chen D, Appl. Therm. Eng., 202, 117849, 2022
  3. Huang K, Su B, Li T, Ke H, Lin M, Wang Q, Appl. Therm. Eng., 204, 117942, 2022
  4. Sun L, Wang G, Zhang C, Jin Q, Song Y, Nanotechnol. Rev., 10(1), 1339, 2021
  5. Chu YM, Nazir U, Sohail M, Selim MM, Lee JR, Fractal Fractional, 5(3), 119, 2021
  6. Li H, Xu P, Liu D, He J, Zu H, Song J, Zhang J, Tian F, Yun M, Wang F, Nanotechnology, 32(37), 375202, 2021
  7. Cao M, Chang Z, Tan J, Wang X, Zhang P, Lin S, Liu J, Li A, ACS Appl. Mater. Interfaces, 14(11), 13025, 2022
  8. Wu H, Zhang F, Zhang Z, Hou L, Int. J. Multiph. Flow, 15, 104043, 2022
  9. Chu YM, Shankaralingappa BM, Gireesha BJ, Alzahrani F, Khan MI, Khan SU, Appl. Math. Comput., 419, 126883, 2021
  10. Shen Z, Wang F, Wang Z, Li J, Renew. Sust. Energ. Rev., 141, 110783, 2021
  11. Pak BC, Cho YI, Exp. Heat Transf., 11(2), 151, 1998
  12. Dezfulizadeh A, Aghaei A, Joshaghani AH, Najafizadeh MM, Powder Technol., 389, 215, 2021
  13. Hosseini SMS, Dehaj MS, Energy, 234, 121317, 2021
  14. Shahsavar A, Jamei M, Karbasi M, Powder Technol., 393, 1, 2021
  15. Loong TT, Salleh H, Khalid A, Koten H, Case Stud. Therm. Eng., 101288, 2021
  16. Esfe MH, Rostamian H, Sarlak MR, J. Mol. Liq., 254, 406, 2018
  17. Chol SUS, Estman JA, ASME-Publications-Fed, 231, 99, 1995
  18. Koca HD, Doganay S, Turgut A, Tavman IH, Saidur R, Mahbubul IM, Renew. Sust. Energ. Rev., 82, 1664, 2018
  19. Kim SH, Choi SR, Kim D, J. Heat Transf. -Trans. ASME, 129(3), 298, 2007
  20. Mikkola V, Puupponen S, Granbohm H, Saari K, Ala-Nissila T, Seppälä A, Int. J. Therm. Sci., 124, 187, 2018
  21. Pinto RV, Fiorelli FAS, Appl. Therm. Eng., 108, 720, 2016
  22. Asadi A, Asadi M, Rezaniakolaei A, Rosendahl LA, Afrand M, Wongwises S, Int. J. Heat Mass Transf., 117, 474, 2018
  23. Fuxi S, Hamedi S, Hajian M, Toghraie D, Alizadeh AA, Hekmatifar M, Sina N, Case Stud. Therm. Eng., 101293, 2021
  24. Yang X, Boroomandpour A, Wen S, Toghraie D, Soltani F, Powder Technol., 388, 418, 2021
  25. Nfawa SR, Basri AA, Masuri SU, Case Stud. Therm. Eng., 101279, 2021
  26. Coccia G, Tomassetti S, Di Nicola G, Renew. Sust. Energ. Rev., 151, 111573, 2021
  27. Tu J, Qi C, Tang Z, Tian Z, Chen L, Appl. Therm. Eng., 202, 117893, 2022
  28. Tang J, Qi C, Ding Z, Afrand M, Yan Y, Int. Commun. Heat Mass Transf., 127, 105492, 2021
  29. Tu J, Qi C, Li K, Tang Z, Powder Technol., 395, 562, 2022
  30. Esfe MH, Esforjani SSM, Akbari M, Karimipour A, Heat Transf. Res., 45(6), 563, 2014
  31. Wang Y, Qi C, Ding Z, Tu J, Zhao R, Powder Technol., 392, 570, 2021
  32. Esfe MH, Arani AAA, Rezaie M, Yan WM, Karimipour A, Int. Commun. Heat Mass Transf., 66, 189, 2015
  33. Esfe MH, Rostamian H, Rejvani M, Emami MRS, Physica E, 102, 160, 2018
  34. Rostamian SH, Saedodin S, Asgari SA, Salarian AH, J. Therm. Anal. Calorim., 147, 155, 2020
  35. Alawi OA, Sidik NAC, Xian HW, Kean TH, Kazi SN, Int. J. Heat Mass Transf., 116, 1314, 2018
  36. Aberoumand S, Jafarimoghaddam A, J. Taiwan Inst. Chem. Eng., 71, 315, 2017
  37. Esfe MH, Bahiraei M, Mahian O, Powder Technol., 338, 383, 2018
  38. Chiam HW, Azmi WH, Usri NA, Mamat R, Adam NM, Exp. Therm. Fluid Sci., 81, 420, 2017
  39. Dalkılıç AS, Açıkgöz O, Küçükyıldırım BO, Eker AA, Lüleci B, Jumpholkul C, Wongwises S, Int. Commun. Heat Mass Transf., 97, 30, 2018
  40. Esfe MH, Appl. Therm. Eng., 126, 559, 2017
  41. Abdulrahman A, Mater. Today: Proc., 42, 771, 2021
  42. Chu YM, Ibrahim M, Saeed T, Berrouk AS, Algehyne EA, Kalbasi R, J. Mol. Liq., 333, 115969, 2021
  43. Cao Y, Khan A, Abdi A, Ghadiri M, Arab. J. Chem., 14(7), 103204, 2021
  44. Ji W, Yang L, Chen Z, Mao M, Huang JN, Powder Technol., 388, 212, 2021
  45. Esfe MH, Sarlak MR, J. Mol. Liq., 242, 326, 2017
  46. Esfe MH, Esfandeh S, Niazi S, J. Mol. Liq., 288, 111020, 2019
  47. Eriksson L, Johansson E, Kettaneh-Wold N, Wikström C, Wold S, Design of experiments, Principles and applications, Learn ways AB, Stockholm (2000).
  48. Myers RH, Montgomery DC, Anderson-Cook CM, Response surface methodology: process and product optimization using designed experiments, John Wiley & Sons (2016).
  49. Ghafarzadeh M, Abedini R, Rajabi R, J. Clean Prod., 150, 361, 2017
  50. Mäkelä M, Energy Conv. Manag., 151, 630, 2017
  51. Zhao TH, Khan MI, Chu YM, Math. Methods Appl. Sci., In press (2021)
  52. Zhao TH, Castillo O, Jahanshahi H, Yusuf A, Alassafi MO, Alsaadi FE, Chu YM, Appl. Comput. Math., 20(1), 160, 2021
  53. Wang FZ, Khan MN, Ahmad I, Ahmad H, Abu-Zinadah H, Chu YM, Fractals, 30(2), 224005, 2022
  54. Nazeer M, Hussain F, Khan MI, Asad-ur-Rehman, El-Zahar ER, Chu YM, Malik MY, Appl. Math. Comput., 420, 126868, 2021