10.1007/s40089-019-0269-3

Ultrasonic velocity models in liquids (micro- and nanofluids): theoretical validations

  1. Post Graduate & Research Department of Physics (Ultrasonics/NDT Divisions), Thiru. Vi. Kalyanasundaram Govt Arts and Science College (Affiliated to Bharathidasan University, Tiruchirappalli), Thiruvarur, 610003, IN

Published in Issue 2019-03-27

How to Cite

Nithiyanantham, S. (2019). Ultrasonic velocity models in liquids (micro- and nanofluids): theoretical validations. International Nano Letters, 9(2 (June 2019). https://doi.org/10.1007/s40089-019-0269-3

HTML views: 23

PDF views: 112

Abstract

Abstract The theoretical ultrasonic velocity in any micro/nano fluids is computed in connection with the literatures. Kudriatsav theory (KT), Jouyban–Acree model (JAM), Floty theory (FT), Ramasamy–Anbanantham model (RAM), Glinkski model (GM), McAllister model (Mc-AM), time average model (TAM), Tavlorides groups (TG), Urick model (UM), Kuster and Toksoz model and modified Urick model (MUM) methods are computed. Further the validity of those theory to identify or check or confirm the possibility of existence of type of interaction, ideal and non-ideal behavior of the system was explained in the basis of hydrogen bonding interaction, induced dipoles interactions. The values have been computed for the pure solute and solvent with the binary, ternary, and pentenary mixtures above the marginal range of miscibility at various temperatures. The models/theory is relevant to the type of fluids and the medium such as ionic, electronic, micelle, aqueous or any type of liquids. The structure breaks the bonds in the associated molecules into their components by means of temperature. The measured parameters are fitted with their polynomial relations to compute the coefficients and standard errors for the validation of the experimental results. McAllister three bodies and multibody models were used to correlate their properties at various temperatures showing association/disassociation nature.

Keywords

  • Ultrasonic velocity,
  • Theoretical models,
  • Liquid mixtures,
  • Molecular interactions,
  • Nanofluids

References

  1. Tamura et al. (1999) Thermodynamic properties of aqueous solution of 2-isopropoxyethanol at 25 °C https://doi.org/10.1023/A:1021728430543
  2. Gargia et al. (1999) Shear viscosities of the N-methylformamide- and N,N-dimethylformamide–(C1–C10) alkan-1-ol solvent systems
  3. Sarvazya (1991) Ultrasonic velocimetry of biological compounds (pp. 321-342) https://doi.org/10.1146/annurev.bb.20.060191.001541
  4. Oswal et al. (1998) Speed of sound, isentropic compressibilities, and excess molar volumes of binary mixtures containing p-dioxane https://doi.org/10.1023/A:1022626521363
  5. Jorg et al. (1995) Dielectric relaxation of some N,N-disubstituted amides https://doi.org/10.1080/00319109508031644
  6. Nithiyanantham and Palaniappan (2012) Thermodynamic studies of lactose with amylase in aqueous media at 298.15 K (pp. 2190-2192) https://doi.org/10.1166/jctn.2012.2637
  7. Nithiyanantham (2015) Structural and bio-molecular interaction studies of starch+ α-amylase at 298.15 K (pp. 2048-2061) https://doi.org/10.1166/jctn.2015.3986
  8. Henry (2002) Nonempirical quantification of molecular interactions in supramolecular assemblies (pp. 561-569) https://doi.org/10.1002/1439-7641(20020715)3:7<561::AID-CPHC561>3.0.CO;2-E
  9. Hilderbrand (1971) Motions of molecules in liquids: viscosity and diffusivity (pp. 490-493) https://doi.org/10.1126/science.174.4008.490
  10. Nithiyanantham (2017) Ultrasonic velocity models in liquids (nano-fluids) 14(5) (pp. 2077-2082) https://doi.org/10.1166/jctn.2017.6809
  11. Van Deal, W., Vangeal, E.: Proceeding of the First International Conference on Calorimetry and thermodynamics, Warsaw, p. 556 (1969)
  12. Kudriavtsev (1956)
  13. Jouybon et al. (2005) Calculation of the viscosity of binary liquids at various temperatures using Jouyban–Acree model
  14. Juoyban et al. (2004) Surface tension calculation of mixed solvents with respect to solvent composition and temperature by using Jouyban–Acree model https://doi.org/10.1248/cpb.52.1219
  15. Hasan et al. (2007) Densities, viscosities and ultrasonic velocities of binary mixtures of methylbenzene with hexan-2-ol, heptan-2-ol and octan-2-ol at T = 298.15 and 308.15 K https://doi.org/10.1016/j.fluid.2007.01.001
  16. Flory (1965) Statistical thermodynamics of liquid mixtures
  17. Patterson and Rastogi (1970) The surface tension of polyatomic liquids and the principle of corresponding states https://doi.org/10.1021/j100700a017
  18. Ramasamy and Anbananthan (1981) (pp. 281-282)
  19. Glinski (2003) Determination of the conditional association constants from the sound velocity data in binary liquid mixtures (pp. 2301-2307) https://doi.org/10.1063/1.1534579
  20. Aralaguppi et al. (1999) Density, viscosity, refractive index, and speed of sound in binary mixtures of 2-chloroethanol with methyl acetate, ethyl acetate, n-propyl acetate, and n-butyl acetate https://doi.org/10.1021/je980218p
  21. Shukla et al. (2011) Prediction of associational behaviour of binary liquid mixtures from viscosity data at 298.15, 303.15, 308.15 and 313.15 K https://doi.org/10.1016/j.molliq.2010.11.006
  22. Ali and Tariq (2008) Surface thermodynamic behaviour of binary liquid mixtures of benzene + 1,1,2,2-tetrachloroethane at different temperatures: an experimental and theoretical study https://doi.org/10.1080/00319100701344628
  23. Tsouris and Talvarides (1993) Volume fraction measurements of water in oil by an ultrasonic technique (pp. 998-1002) https://doi.org/10.1021/ie00017a035
  24. Tsouris et al. (1995) A pulse-echo ultrasonic probe for local volume fraction measurements in liquid-liquid dispersions (pp. 3154-3158) https://doi.org/10.1021/ie00048a029
  25. Urick (1947) A sound velocity method for determining the compressibility of finely divided substances (pp. 983-987) https://doi.org/10.1063/1.1697584
  26. Kuster and Toskoz (1974) Velocity and attenuation of seismic waves in two‐phase media: part I. theoretical formulations (pp. 587-606) https://doi.org/10.1190/1.1440450
  27. Pinfield and Povey (1997) Thermal scattering must be accounted for in the determination of adiabatic compressibility (pp. 1110-1112) https://doi.org/10.1021/jp963449g
  28. Pinfield et al. (1995) The application of modified forms of the Urick equation to the interpretation of ultrasound velocity in scattering systems (pp. 243-251) https://doi.org/10.1016/0041-624X(95)94558-Z
  29. Meng et al. (2006) Composition measurements of crude oil and process water emulsions using thick-film ultrasonic transducers (pp. 383-391) https://doi.org/10.1016/j.cep.2005.10.004
  30. US National Institute of Standards and Technology.: NIST Chemistry Web Book—NIST Standard Reference Database Number 69.
  31. http://webbook.nist.gov/chemistry/fluid/
  32. (2003)
  33. Dovnar et al. (2001) The thermodynamic properties of n-pentadecane in the liquid state, determined by the results of measurements of sound velocity 39(6) (pp. 835-839) https://doi.org/10.1023/A:1013182820649
  34. Rao and Reddy (1985) Excess volumes and excess isentropic compressibilities of binary mixtures of N,N- dimethylformamide with branched alcohols at 303.15 k https://doi.org/10.1016/0040-6031(85)85224-2
  35. Weissberger, A., Pronahar, F.S., Riddick, J.A., Toops, E.E.: Texts of Organic Chemistry, Vol. II Organic Solvents. Inderscience, New York (1955)
  36. Riddick et al. (1986) Wiley Inderscience
  37. Auerbach (1948) Surface tension and speed of sound https://doi.org/10.1007/BF02164502
  38. Prigogine and Saraga (1952) On the surface tension and the cell model of liquid states (pp. 399-407)
  39. Reis et al. (2008) Correlated volume fluctuations in binary liquid mixtures from isothermal compressions at 298.15 K (pp. 1178-1188) https://doi.org/10.1002/cphc.200800057
  40. Khasanshin and Shchemelev (2002) The thermodynamic properties of n-tetradecane in liquid state 40(2) (pp. 207-211) https://doi.org/10.1023/A:1015247021970
  41. Khasanshin et al. (2003) Thermodynamic properties of heavy n-alkanes in the liquid state: n-dodecane 24(5) (pp. 1277-1289) https://doi.org/10.1023/A:1026199017598
  42. Natta and Baccaredda (1948) Sulla velocita di propagazione degli ultrasuoni nelle miscele ideali
  43. Glasstone et al. (1941) McGraw-Hill
  44. Shukla et al. (2007) A comparative study of the PFP and BAB models in predicting the surface and transport properties of liquid ternary systems (pp. 1103-1116) https://doi.org/10.1007/s10953-007-9176-8
  45. Pandey et al. (2008) Estimation of surface tension of ternary liquid systems by corresponding-states group-contributions method and Flory theory (pp. 44-51) https://doi.org/10.1016/j.fluid.2008.08.008
  46. Gupta et al. (2006) Ultrasonic velocity, viscosity and excess properties of binary mixture of tetrahydrofuran with 1-propanol and 2-propanol https://doi.org/10.1016/j.fluid.2005.07.013
  47. Singh et al. (2007) Excess acoustical and volumetric properties and the theoretical estimation of the excess thermodynamic functions of binary liquid mixtures 5(4) (pp. 412-424)
  48. Kumar et al. (2016) Sound velocity and isentropic compressibility of binary liquid systems from various theoretical models at temperature range 293.15 to 313.15 K 4(2) (pp. 157-167)
  49. Redlich and Kister (1948) Algebraic representation of thermodynamic properties and the classification of (pp. 345-348) https://doi.org/10.1021/ie50458a036
  50. Desnoyers and Perron (1997) Treatment of excess thermodynamic quantities for liquid mixtures 26(8) (pp. 749-755) https://doi.org/10.1007/BF02767781
  51. Ouerfelli and Bouanz (1996) A shear viscosity study of cerium (III) nitrate in concentrated aqueous solutions at different temperatures (pp. 2763-2774) https://doi.org/10.1088/0953-8984/8/16/005
  52. Jouyban-Gharamaleki et al. (1999) Comparison of various cosolvency models for calculating solute solubility in water-cosolvent mixtures (pp. 93-101) https://doi.org/10.1016/S0378-5173(98)00333-0
  53. Jouyban-Gharamaleki (1998) The modified Wilson model and predicting drug solubility in water-cosolvent mixtures (pp. 1058-1061) https://doi.org/10.1248/cpb.46.1058
  54. Jouyban-Gharamaleki and Acree (1998) Prediction of drug solubility in ethanol-ethyl acetate mixtures at various temperatures using the Jouyban–Acree model (pp. 177-182) https://doi.org/10.1016/S0378-5173(98)00073-8
  55. Nageswara Rao, J.: Ultrasonic study of molecular interactions in liquid mixtures. M.Phil thesis, S.V. University, Tirupati (2010)
  56. Md Nayeem et al. (2014) Ultrasonic investigations of molecular interaction in binary mixtures of cyclohexanone with isomers of butanol https://doi.org/10.1155/2014/741795
  57. Punitha et al. (2014) Physico-chemical studies on some saccharides in aqueous cellulose solutions at different temperatures—acoustical and FTIR analysis 18(5) https://doi.org/10.1016/j.jscs.2014.01.008
  58. Eyring and John (1969) Wiley Eastern
  59. Pfeiffer and Heremans (2005) The sound velocity in ideal liquid mixtures from thermal volume fluctuations (pp. 697-705) https://doi.org/10.1002/cphc.200400534