A novel approach of the conformal mappings with applications in biotribology

[1] L. C. Berselli, F. Guerra, B. Mazzolai, E. Sinibaldi, Pulsatile Viscous Flows in Elliptical Vessels and Annuli: Solution to the Inverse Problem, with Application to Blood and Cerebrospinal Fluid Flow, SIAM J. Appl. Math., Vol. 74, number 1 (2012), 40-5910.1137/120903385Search in Google Scholar

[2] P. Bhuanantanondh, P., Rheology of synovial fluid with and without Viscosupplements in patients with osteoarthritis: A pilot study, Biomed Eng Lett., 1(2011), 213-21910.1007/s13534-011-0034-7Search in Google Scholar

[3] R. B. Bird, W. E. Stewart, E. N. Lig, Transport Phenomena, Wiley, New York, (1960).Search in Google Scholar

[4] W. M. Brondani, Numerical study of a PTT visco elastic fluid flow through a concentric annular, Proceedings of COBEM (Brasillia), (2007).Search in Google Scholar

[5] J. Enderle, J. Bronzino, Introduction to Biomedical Engineering, Academic Press, (2011)10.1016/B978-0-12-374979-6.00001-0Search in Google Scholar

[6] O. Florea, I-C. Rosca, A novel approach of the Stokes’ second problem for the synovial fluid in knee osteoarthrosis, Journal of Osteoarthritis and cartilage Vol. 22 Supp (2014), S109-S11010.1016/j.joca.2014.02.204Search in Google Scholar

[7] A.G Fredrickenson, R.B. Bird, Non Newtonian flow in annuli, Ind. Eng. Chem, vol. 50 (1958), 347-35210.1021/ie50579a035Search in Google Scholar

[8] R.W Hanks, K.M Larsen, The flow of power law non Newtonian fluid in concentric annuli, Ind. Eng. Chem. Fundam, vol. 18 (1979), pp 33-3510.1021/i160069a008Search in Google Scholar

[9] L. Kopito, S. R. Schuster, H. Kosasky, Eccentric viscometer for testing biological and other fluids, patent number US3979945 A, (1976)Search in Google Scholar

[10] X. Lin, B. Zhao and Z. Du, A third-order multi-point boundary value problem at resonance with one three dimensional kernel space, Carpathian Journal of Mathematics, Vol. 30 (2014), No. 1, 93-100Search in Google Scholar

[11] M. Marin, O. Florea, On temporal behavior of solutions in Thermoelasticity of porous micropolar bodies, An. Sti. Univ. Ovidius Constanta, Vol. 22, issue 1,(2014), 169-18810.2478/auom-2014-0014Search in Google Scholar

[12] M. Marin, G. Stan, Weak solutions in Elasticity of dipolar bodies with stretch, Carpathian Journal Of Mathematics, Vol. 29, number 1, (2013), 33-4010.37193/CJM.2013.01.12Search in Google Scholar

[13] M. Marin, Lagrange identity method in thermoelasticity of bodies with microstructure, International Journal of Engineering Science, vol. 32, issue 8, (1994), 1229-1240.10.1016/0020-7225(94)90034-5Search in Google Scholar

[14] M. Marin, Some estimates on vibrations in thermoelasticity of dipolar bodies, Journal of Vibration and Control, vol. 16 issue 1, (2010), 33 47.10.1177/1077546309103419Search in Google Scholar

[15] F. T. Pinho, P. .J. Oliveira, Axial annular flow of a nonlinear viscoelastic fluid - an analytical solution, Journal Of Non-Newtonian Fluid Mechanics, 93 (2000), 325-33710.1016/S0377-0257(00)00113-0Search in Google Scholar

[16] K. Sharma, M. Marin, Reflection and transmission of waves from imperfect boundary between two heat conducting micropolar thermoelastic solids, An. Sti. Univ. Ovidius Constanta, Vol. 22, issue 2,(2014), 151-17510.2478/auom-2014-0040Search in Google Scholar

[17] G. Zhi-rong, Y. Zong-yi, The eccentric effect of a coaxial viscometer, Applied Mathematics and Mechanics, pp. 359-367, 199510.1007/BF02456949Search in Google Scholar

[18] A. Wachs, Numerical Simulation of steady Bingham flow through an eccentric annular cross section by distributed Lagrange multipliers / fictitious domain and augmented Lagrangian methods, Non New Fluid Mech, vol. 142 (2007), pp183-19810.1016/j.jnnfm.2006.08.009Search in Google Scholar