Propagation of Viscous Waves and Activation Energy of Hydrocarbon Fluids
The Euler-s equation of motion is extended to include
the viscosity stress tensor leading to the formulation of Navier–
Stokes type equation. The latter is linearized and applied to
investigate the rotational motion or vorticity in a viscous fluid.
Relations for the velocity of viscous waves and attenuation parameter
are obtained in terms of viscosity (μ) and the density (¤ü) of the fluid.
μ and ¤ü are measured experimentally as a function of temperature for
two different samples of light and heavy crude oil. These data
facilitated to determine the activation energy, velocity of viscous
wave and the attenuation parameter. Shear wave velocity in heavy oil
is found to be much larger than the light oil, whereas the attenuation
parameter in heavy oil is quite low in comparison to light one. The
activation energy of heavy oil is three times larger than light oil.
[1] S. Witaker, "Introduction to Fluid Mechanics-" New Jersey: Prentice
Hall, 1968.
[2] L.D. Landau and E.M. Lifsitz, "Fluid Mechanics" London: Pergamon
Press, 1959.
[3] A.B. Bhatia and R.N. Singh, "Mechanics of Deformable Media" Bristol:
Adam Hilger, 1986.
[4] M. Fank White "Fluid Mechanics (7th Ed)" Mc Graw Hill Series, 2011.
[5] J. Bryan, A. Kautzas and C. Bellehumeur "Viscosity predictions for
crude oils and crude oil emulsions using low field NMR" SPE Annual
Tech Conf , San Antonio, Texas 2002.
[6] Mobil "Petroleum Manufacturing Orientation Course" New Jersey:
Mobil Research and Engineering; 1997.
[7] K. Stephan and K. D. Lucas "Viscosity of Dense Fluids" New York:
Plenum Press, 1979.
[8] R. N. Singh, A. K. George and S. Arafin , "Specific heat ratio, Gr├╝neisen
parameter and Debye temperature of crude oil", J Phy. D: Appl. Phys.,
vol 39 , 2006, pp 1-6.
[9] A. Hannisdal, R. Orr and Johan Sjoblom, 2007, "Viscoelastic Properties
of crude oil components at oil-water interfaces: comparison of 30
oils" Journal of Dispersion Science and Technology, 2007, pp361-268.
[10] A.K. George, N. Al Majrafi, R. N. Singh and S. Arafin "Thermo-elastic
and thermodynamic properties of light and heavy crude oil", Physics and
Chemistry of Liquids, vol 46, 2008, pp328-341.
[11] R. N. Singh and F. Sommer "Viscosity of liquid alloys; generalization of
Andrede-s equation", Monatshefte F├╝r Chemie - Chemical Monthly, vol
143, No 9, 2012,pp1235-1242.
[1] S. Witaker, "Introduction to Fluid Mechanics-" New Jersey: Prentice
Hall, 1968.
[2] L.D. Landau and E.M. Lifsitz, "Fluid Mechanics" London: Pergamon
Press, 1959.
[3] A.B. Bhatia and R.N. Singh, "Mechanics of Deformable Media" Bristol:
Adam Hilger, 1986.
[4] M. Fank White "Fluid Mechanics (7th Ed)" Mc Graw Hill Series, 2011.
[5] J. Bryan, A. Kautzas and C. Bellehumeur "Viscosity predictions for
crude oils and crude oil emulsions using low field NMR" SPE Annual
Tech Conf , San Antonio, Texas 2002.
[6] Mobil "Petroleum Manufacturing Orientation Course" New Jersey:
Mobil Research and Engineering; 1997.
[7] K. Stephan and K. D. Lucas "Viscosity of Dense Fluids" New York:
Plenum Press, 1979.
[8] R. N. Singh, A. K. George and S. Arafin , "Specific heat ratio, Gr├╝neisen
parameter and Debye temperature of crude oil", J Phy. D: Appl. Phys.,
vol 39 , 2006, pp 1-6.
[9] A. Hannisdal, R. Orr and Johan Sjoblom, 2007, "Viscoelastic Properties
of crude oil components at oil-water interfaces: comparison of 30
oils" Journal of Dispersion Science and Technology, 2007, pp361-268.
[10] A.K. George, N. Al Majrafi, R. N. Singh and S. Arafin "Thermo-elastic
and thermodynamic properties of light and heavy crude oil", Physics and
Chemistry of Liquids, vol 46, 2008, pp328-341.
[11] R. N. Singh and F. Sommer "Viscosity of liquid alloys; generalization of
Andrede-s equation", Monatshefte F├╝r Chemie - Chemical Monthly, vol
143, No 9, 2012,pp1235-1242.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:58235", author = "Ram N. Singh and Abraham K. George and Dawood N. Al-Namaani", title = "Propagation of Viscous Waves and Activation Energy of Hydrocarbon Fluids", abstract = "The Euler-s equation of motion is extended to include
the viscosity stress tensor leading to the formulation of Navier–
Stokes type equation. The latter is linearized and applied to
investigate the rotational motion or vorticity in a viscous fluid.
Relations for the velocity of viscous waves and attenuation parameter
are obtained in terms of viscosity (μ) and the density (¤ü) of the fluid.
μ and ¤ü are measured experimentally as a function of temperature for
two different samples of light and heavy crude oil. These data
facilitated to determine the activation energy, velocity of viscous
wave and the attenuation parameter. Shear wave velocity in heavy oil
is found to be much larger than the light oil, whereas the attenuation
parameter in heavy oil is quite low in comparison to light one. The
activation energy of heavy oil is three times larger than light oil.", keywords = "Activation Energy, Attenuation, Crude Oil, Navier-
Stokes Equation, Viscosity.", volume = "6", number = "12", pages = "1709-5", }