Fetching the paper…
Reading the bibliography…
In this paper we evaluate the dynamic effects of the fluid viscosity for fluid filled elastic tubes in the framework of a linear uni-axial theory.
G.H. Hardy, M. Riesz, The General Theory of Dirichlet Series
1915
Earlier work this paper cites.
J.R. Womersley, Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known, J. Physiol
1955
Earlier work this paper cites.
J.R. Womersley, An Elastic Tube Theory of Pulse Transmission and Oscillatory Flow in Mammalian Arteries
1957
Earlier work this paper cites.
I. N. Sneddon, On some infinite series involving the zeros of Bessel functions of the first kind, Proc. Glasgow Math. Assoc
1960
Earlier work this paper cites.
M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions
1965
Earlier work this paper cites.
A.C.L. Barnard, W.A. Hunt, W.P. Timlake, E. Varley, A theory of fluid flow in compliant tubes, Biophys. J
1966
Earlier work this paper cites.
P.W. Buchen, F. Mainardi, Asymptotic expansions for transient viscoelastic waves, Journal de Mécanique
1975
Earlier work this paper cites.
H.W. Hoogstraten, G.H. Smit, A mathematical theory of shock-wave formation in arterial blood flow, Acta Mech
1978
Earlier work this paper cites.
Yu.N. Rabotnov, Elements of Hereditary Solid Mechanics
1980
Cited alongside, same era.
F. Mainardi, H. Buggisch, On non-linear waves in liquid-filled elastic tubes, in U. Nigul and J. Engelbrecht (Eds), Nonlinear Deformation Waves
1983
Cited alongside, same era.
X. He, D.N. Ku, J.E. Moors Jr, Simple calculation of the velocity profiles for pulsatile flow in a blood vessel using Mathematica, Annals of Biomedical Engineering
1993
Cited alongside, same era.
A. Hanyga, Wave propagation in media with singular memory, Mathematical and Computer Modelling
2001
Cited alongside, same era.
D.W. Barclay, T.B. Moodie and V.P. Madan, Linear and non-linear pulse propagation in fluid-filled compliant tubes, Meccanica
2004
Cited alongside, same era.
2011
Later among the works it cites.
N.E. Daidzic, Application of Womersley model to reconstruct pulsatile flow from Doppler ultrasound measurements, Journal of Fluid Engineering
2014
Later among the works it cites.
A. Giusti, F. Mainardi, A linear viscoelastic model for arterial pulse propagation, Proceedings of ICMMB-19
2014
Later among the works it cites.
R. Gorenflo, A. Kilbas, F. Mainardi, S. Rogosin, Mittag-Leffler Functions, Related Topics and Applications
2014
Later among the works it cites.
P. Perdikaris, G.E. Karniadakis, Fractional-order viscoelasticity in one-dimensional blood flow models, Ann. Biomed. Eng
2014
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
R.C. Koeller, A theory relating creep and relaxation for linear materials with memory, J. Appl. Mech
2010
Cited alongside, same era.
F. Mainardi, Fractional Calculus and Waves in Linear Viscoelasticity
2010
Cited alongside, same era.
S. Rogosin, F. Mainardi, George William Scott Blair - the pioneer of factional calculus in rheology, Commun. Appl. Ind. Math
2014
Later among the works it cites.