Abstract
A study is presented on oscillatory flow and solute transport in a non-Newtonian solvent through a tube. The finite element technique is used to analyse the model and calculated the local concentration and mean concentration. The combined effects of oscillatory flow and non-Newtonian characteristics on the local and mean concentrations are discussed. The results obtained in this investigation are found to agree well with previous works available in the literature. This study has significant applications in drug delivery in physiological systems, environmental transport of pollutants and cardiovascular flow phenomena.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Taylor, G.: Dispersion of soluble matter in solvent flowing slowly through a tube. Proc. R. Soc. Lond. Ser. A 219(1137), 186–203 (1953)
Aris, R.: On dispersion of a solute in a fluid flowing through a tube. Proc. R. Soc. Lond. Ser. A 235, 67–77 (1956)
Gill, W.N., Sankarasubramanian, R.: Exact analysis of unsteady convective diffusion. Proc. R. Soc. Lond. Ser. A 316, 341–350 (1970)
Jiang, Y., Grotberg, J.B.: Bolus contaminant dispersion in oscillatory tube flow with conductive walls. ASME. J Biomech. Eng. 115(4A), 424–431 (1993)
Kumar, S., Jayaraman, G.: Method of moments for laminar dispersion in an oscillatory flow through curved channels with absorbing walls. Heat Mass Transf. 44(11), 1323–1336 (2008)
Wang, P., Chen, G.Q.: Solute dispersion on open channel flow with bed absorption. J. Hydrol. 543, 208–217 (2016)
Dash, R.K., Jayaraman, G., Mehta K.N.: Shear augmented dispersion of a solute in a Casson fluid flowing in a Conduit. Ann. Biomed. Eng. 28(4), 373–385 (2000)
Nagarani, P., Sarojamma, G., Jayaraman, G.: Effect of boundary absorption in dispersion in Casson fluid flow in a tube. Ann. Biomed. Eng. 32(5), 706–719 (2004)
Nagarani, P., Sebastian, B.T.: Dispersion of a solute in pulsatile non-Newtonian fluid flow through a tube. Acta Mech. 224, 571–585 (2013)
Debnath, S., Saha, A.K., Mazumder, B.S., Roy, A.K.: Dispersion phenomena of reactive solute in a pulsatile flow of three-layer liquids. Phys. Fluids 29, 097107 (2017)
Rana, J., Murthy, P.V.S.N.: Unsteady solute dispersion in non-Newtonian fluid flow in a tube with wall absorption. Proc. R. Soc. Lond. Ser. A. 472, 20160294 (2016)
Rana, J., Liao, S.: A general analytical approach to study solute dispersion in non-Newtonian fluid flow. Eur. J. Mech. – B/Fluids 77, 183–200 (2019)
Chauhan, S.S., Tiwari, A.: Solute dispersion in non-Newtonian fluids flow through small blood vessels: a varying viscosity approach. Eur. J. Mech. – B/Fluids 94, 200–211 (2022)
Aroesty, J., Gross, J.F.: The mathematics of pulsatile flow in small blood vessels 1. Casson Theory. Microvasc. Res. 4, 1–12 (1972)
Caro, C.G., Pedley, T.J., Schroter, R.C., Seed, W.A.: The Mechanics of Circulation. Oxford University Press, New York (1978)
Lighthill, M.J.: Initial development of diffusion in Poiseuille flow. IMA J. Appl. Math. 2(1), 97–108 (1966)
Reejhsinghani, N.S., Gill, W.N., Barduhn, A.J.: Laminar dispersion in capillaries: part III. Experiments in horizontal tubes including observations on natural convection effects. AIChE J. 12, 916–923 (1966)
Caro, C.G.: The dispersion of indicator flowing through simplified models of the circulation and its relevance to velocity profiles in blood vessels. J. Physiol. 185, 501–519 (1966)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Nagarani, P., Job, V.M., Gunakala, S.R. (2024). Finite Element Analysis of Unsteady Dispersion in Casson Fluid Flow. In: Kamalov, F., Sivaraj, R., Leung, HH. (eds) Advances in Mathematical Modeling and Scientific Computing. ICRDM 2022. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-41420-6_38
Download citation
DOI: https://doi.org/10.1007/978-3-031-41420-6_38
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-031-41419-0
Online ISBN: 978-3-031-41420-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)