[1] Cross, M. M., Rheology of nonnewtonian fluids - a new flow equation for pseudoplastic systems, J. Colloid Sci. 20(5) (1965) 417-437.
[2] Fung, Y. C., Biomechanics: Mechanical Properties of Living Tissues, Springer, 1993.
[3] Steffe, J. F., Rheological Methods in Food Process Engineering (2nd ed.), 2807 Still Valley Dr., East Lansing, MI 48823, USA: Freeman Press, 1996.
[4] Garakani, A. H. K. et al., Comparison between different models for rheological characterization of activated sludge, Iran. J. Environ. Health. Sci. Eng. 8(3) (2011) 255–264.
[5] Shibeshi, S. S. et al., The rheology of blood flow in a branched arterial system, Appl. Rheol. 15(6) (2005) 398–405.
[6] Tyn, M. U. et al., Partial Differential Equations for Scientists and Engineers (3 ed.), Upper Saddle River, New Jersey 07458, USA: Prentice-Hall, 1987.
[7] Ochoa, M. V., Analysis of Drilling Fluid Rheology and Tool Joint Effect to Reduce Errors in Hydraulics Calculations, Ph.D. Dissertation, Texas A & M Univ, 2006.
[8] Kythe, P. K., An Introduction to Linear and Nonlinear finite Element Analysis: A Computational Approach, Birkhauser Boston, 2004.
[9] Bird, R. B. et al., Dynamics of Polymeric Liquids, Volume 1 − 2. New York, USA: Wiley-Interscience, 1987.
[10] Gee, R. E. et al., Nonisothermal flow of viscous non-newtonian fluids, Ind. Eng. Chem. 49(6) (1957) 956–960.
[11] Wilkinson, W. L., Non-Newtonian Fluids: Fluid Mechanics, Mixing and Heat Transfer, New York,USA: Pergamon Press, 1960.
[12] Munson, B. R. et al., Fundamentals of Fluid Mechanics (7 ed.). Wiley, 2012.
[13] Wei, D. et al., Traveling wave solutions of burgers’ equation for power-law non-newtonian flows, Appl. Math. ENotes 11 (2011) 133–138.
[14] Wei, D. et al., Traveling wave solutions of burgers’ equation for gee-lyon fluid flows, Appl. Math. E-Notes 12 (2012) 129–135.
[15] White, F., Fluid Mechanics (7 ed.), McGraw-Hill Education, 2010.
[16] Camacho, V. et al., Traveling waves and shocks in a viscoelastic generalization of burgers’ equation, SIAM J. Appl. Math. 68(5) (2008) 1316–1332.
[17] Olesen, L. H., Computational fluid dynamics in microfluidic systems, MS. Thesis, Philadelphia: Technical University of Denmark, 2003.
[18] Chertock, A. et al., On degenerate saturated-diffusion equations with convection, Nonlinearity 18(2) (2005) 609–630.
[19] Kurganov, A. et al., Effects of a saturating dissipation in burgers-type equations, Commun. Pure Appl. Math. 50 (1997) 753–771.
[20] Goodman, J. et al., Breakdown in burgers-type equations with saturating dissipation fluxes, Nonlinearity 12 (1999) 247–268.
[21] Rykov, Y. G., On the theory of discontinuous solutions to some strongly degenerate parabolic equations, Russian Journal of Mathematical Physics 7(3) (2001) 341-356.
[22] Kurganov, A. et al., On burgers-type equations with non-monotonic dissipative fluxes, Commun. Pure Appl. Math. 51 (1998) 443–473.
[23] Debnath, L., Nonlinear Partial Differential Equations for Scientists and Engineers (2 ed.), Birkhauser Boston, 2005.
[24] Escudier, M. P. et al., On the reproducibility of the rheology of shear-thinning liquids, J. Non-Newtonian Fluid Mech. 97 (2011) 99-124.
[25] Kythe, P. K., An Introduction to Linear and Nonlinear Finite Element Analysis: A Computational Approach, Birkhauser Boston, 2004.
[26] Charrondiere, U. R. et al., FAO/INFOODS Density Database Version 2.0. FAO. Food and Agriculture Organization of the United Nations Technical Workshop Report, Rome, Italy, 2002.
[27] Murray, F. J. et al., Existence Theorems for Ordinary Differential Equations, New York, USA: New York Univ. Press, 1954.
Journal of Applied and Computational Mechanics
)
