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Numerical Solution to Singularly Perturbed Differential Equation of Reaction-Diffusion Type in MAGDM Problems Read chapter Read first chapter

2019 | OriginalPaper | Chapter

MHD and Cross Diffusion Effects on Peristaltic Flow of a Casson Nanofluid in a Duct

Authors : G. Sucharitha, P. Lakshminarayana, N. Sandeep

Published in: Applied Mathematics and Scientific Computing

Publisher: Springer International Publishing

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Abstract

The Soret and Dufour effects on the peristaltic transport of a conducting Casson nanofluid in a flexible channel are studied. The influence of dissipation and Joule heating are also discussed. The governing equations are simplified by using a long wave length and small Reynolds number approximations. The analytical solutions for stream function and axial velocity are obtained. Moreover, the Runge–Kutte-based shooting method is utilized to solve the coupled energy and concentration equations. The impact of important parameters on the flow is explained using graphs for both Newtonian and Casson fluid cases. It is observed that the Casson fluid has more velocity than the Newtonian fluid in the middle of the channel and the situation is reversed at the channel walls. Further, a higher temperature is noted for Casson fluid than for Newtonian fluid throughout the channel, whereas concentration shows the opposite behavior.

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previous chapter Peristaltic Flow of a Jeffrey Fluid in Contact with a Newtonian Fluid in a Vertical Channel
next chapter Axisymmetric Vibration in a Submerged Piezoelectric Rod Coated with Thin Film
Literature
1.
Latham, T.W.: Fluid motions in a peristaltic pump. M.S. Thesis, Massachusetts Institute of Technology, Cambridge (1966)
2.
Fung, Y.C., Yih, C.S.: Peristaltic transport. Trans. ASME, J. Appl. Mech. 35, 669–675 (1968)
3.
Shapiro, A.H., Jaffrin, M.Y., Weinberg, S.L.: Peristaltic pumping with long wavelengths at low Reynolds number. J. Fluid Mech. 37 (4), 799–825 (1969)CrossRef
4.
Usha, S., Ramachandra Rao, A.: Peristaltic transport of two-layered power-law fluids. J. Biomech. Eng. 119, 483–488 (1997)CrossRef
5.
Srinivas, S., Kothandapani, M.: The influence of heat and mass transfer on MHD peristaltic flow through a porous space with compliant walls. Appl. Math. Comput. 213, 197–208 (2009)MathSciNetMATH
6.
Lakshminarayana, P., Sreenadh, S., Sucharitha, G., Nandagopal, K.: Effect of slip and heat transfer on peristaltic transport of a Jeffrey fluid in a vertical asymmetric porous channel. Adv. Appl. Sci. Res. 6 (2), 107–118 (2015)
7.
Vajravelu, K., Sreenadh, S., Lakshminarayana, P., Sucharitha, G., Rashidi, M. M.: Peristaltic flow of Phan-Thien-Tanner fluid in an asymmetric channel with porous medium. J. Appl. Fluid Mech. 9 (4), 1615–1625 (2016)
8.
Vajravelu, K., Sreenadh, S., Lakshminarayana, P., Sucharitha, G.: The effect of heat transfer on the nonlinear peristaltic transport of a Jeffrey fluid through a finite vertical porous channel. Int. J. Biomath. 9 (2) 1650023 (25 pages) (2016)MathSciNetCrossRef
9.
Vajravelu, K., Sreenadh, S., Dhananjaya, S., Lakshminarayana, P.: Peristaltic flow and heat transfer of a conducting Phan-Thien-Tanner fluid in an asymmetric channel - application to chyme movement in small intestine. Int. J. of Appl. Mech. Eng. 21 (3), 713–736 (2016)CrossRef
10.
Akbar, N. S.: Influence of magnetic field on peristaltic flow of a Casson fluid in an asymmetric channel: Application in crude oil refinement. J. Magn. Magn. Mater. 378, 463–468 (2015)CrossRef
11.
Nadeem, S., Ul Haq, R., Akbar, N. S., Khan, Z. H.: MHD three dimensional flow of Casson fluid past a porous linearly stretching sheet. Alex. Eng. J. 52, 577–582 (2013)CrossRef
12.
Raju, C. S. K., Sandeep, N., Saleem, S.: Effects of induced magnetic field and homogeneous-heterogeneous reactions on stagnation flow of a Casson fluid. Eng. Sci. Technol. Int. J. 19 (2), 875–887 (2016)CrossRef
13.
Hayat, T. Ali Bhatti, Z., Ahmad, B., Alsadi, A.: Effects of variable viscosity and inclined magnetic field on peristaltic motion of fourth-grade fluid with heat transfer. Heat Trans. Res. 47 (5), 489–503 (2016)CrossRef
14.
Saleem, S., Awais, M., Nadeem, S., Sandeep, N., Mustafa, M. T.: Theoretical analysis of upper-convected Maxwell fluid flow with Cattaneo-Christov heat flux model. Chin. J. Phys. (2017) doi:org/10.1016/j.cjph.2017.04.005CrossRef
15.
Satyanarayana, K.V.V., Sreenadh, S., Sucharitha, G., Lakshminarayana, P.: The effect of wall properties on the convective peristaltic transport of a conducting Bingham fluid through porous medium. Ind. J. Sci. Tech. 9 (42), 1–9 (2016)
16.
Sucharitha, G., Lakshminarayana, P., Sandeep, N.: Joule heating and wall flexibility effects on the peristaltic flow of magnetohydrodynamic nanofluid. Int. J. Mech. Sci. 131–132, 52–62 (2017)CrossRef
17.
Lakshminarayansa, P., Sreenadh, S., Sucharitha, G.: The influence of slip, wall properties on the peristaltic transport of a conducting Bingham fluid with heat transfer. Proc. Eng. 127, 1087–1094 (2015)CrossRef
18.
Sucharitha, G., Lakshminarayana, P., Sandeep, N.: Dual solutions of cross diffusion effects on MHD Peristaltic flow in a conduit. IOP Conference series, Material Science and Engineering 263, 062026 (2017)CrossRef
19.
Hayat, T., Abbasi, F. M., Maryem, A., Monaquel, S.: Slip and Joule heating effects in mixed convection peristaltic transport of nanofluid with Soret and Dufour effects. J. Mol. Liq. 194, 93–99 (2014)CrossRef
20.
Mehmood, R., Nadeem, S., Saleem, S., Akbar, N. S.: Flow and heat transfer analysis of a Jeffery nano fluid impinging obliquely over a stretched plate. J. Taiwan Inst. Chem. Eng. 74, 49–58 (2017)CrossRef
21.
Nadeem, S., Khan, S., A. U., Saleem, S.: A comparative analysis on different nanofluid models for the oscillatory stagnation point flow. Eur. Phys. J. Plus 131, 261 (2016)
22.
Nadeem, S., Ahmed, Z., Saleem, S.: The effect of variable viscosities on micro-polar flow of two nanofluid. Z. Naturforsch A 71 (12), 1121–1129 (2016)CrossRef
23.
Lakshminarayana, P., Vajravelu, K., Sucharitha, G., Sreenadh, S.: Peristaltic slip flow of a Bingham fluid in an inclined porous conduit with Joule heating. Appl. Math. Nonlinear Sci. 3 (1), 41–54 (2018)MathSciNetCrossRef
Metadata
Title
MHD and Cross Diffusion Effects on Peristaltic Flow of a Casson Nanofluid in a Duct
Authors
G. Sucharitha
P. Lakshminarayana
N. Sandeep
Copyright Year
2019
Book
Applied Mathematics and Scientific Computing

Print ISBN: 978-3-030-01122-2

Electronic ISBN: 978-3-030-01123-9

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-030-01123-9_20

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