Abstract
The radiative peristaltic flow of Powell–Eyring nanofluid with temperature-dependent viscosity in an asymmetric channel is considered. Mathematically, nonlinear radiation is accounted through Stefan–Boltzmann law. The governing equations with the appropriate constitutive equations for the non-Newtonian fluid are modeled in the wave frame of reference. Contrary to viscous fluid with linear radiation, these equations are highly nonlinear in nature. Semi-numerical solutions are obtained under well-established large wavelength and small Reynolds number approximations. Important features of fluid flow and heat transfer are discussed graphically for various physical parameters highlighting the influence of nonlinear radiation and variable viscosity.
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References
T.W. Latham, Fluid motion in a peristaltic pump. Master’s thesis, Massachusetts Institute of Technology (1966)
A.H. Shapiro, M.Y. Jaffrin, S.L. Weinberg, Peristaltic pumping with long wavelength at low numbers. J. Fluid Mech. 37, 799–825 (1969)
Y.C. Fung, C.S. Yih, Peristaltic transport. J. Appl. Mech. 35, 669–675 (1968)
M. Mishra, A.R. Rao, Peristaltic transport of a Newtonian fluid in an asymmetric channel. Zeitschrift für angewandte Mathematik und Physik 54, 532–550 (2003)
S. Srinivas, M. Kothandapani, Peristaltic transport in an asymmetric channel with heat transfer—a note. Int. Commun. Heat Mass Transf. 35, 514–522 (2008)
KhS Mekheimer, Y. Abd elmaboud, Peristaltic flow of a couple stress fluid in an annulus: application of an endoscope. Physica A Stat. Mech. Its Appl. 387, 2403–2415 (2008)
Q. Hussain, S. Asghar, T. Hayat, A. Alsaedi, Peristaltic transport of hydromagnetic Jeffrey fluid with temperature-dependent viscosity and thermal conductivity. Int. J. Biomath. 9, Article ID: 1650029 (2016)
R.E. Powell, H. Eyring, Mechanisms for the relaxation theory of viscosity. Nature 154, 427–428 (1944)
S. Noreen, M. Qasim, Peristaltic flow of MHD Eyring-Powell fluid in a channel. Eur. Phys. J. Plus 128, Article ID: 91 (2013)
T. Hayat, A. Tanveer, H. Yasmin, A. Alsaedi, Effects of convective conditions and chemical reaction on peristaltic flow of Eyring–Powell fluid. Appl. Bionics Biomech. 11, 221–233 (2014)
D. Tripathi, O. Bég, A study on peristaltic flow of nanofluids: application in drug delivery systems. Int. J. Heat Mass Transf 70, 61–70 (2014)
S. Hina, M. Mustafa, T. Hayat, A. Alsaedi, Peristaltic transport of Powell–Eyring fluid in a curved channel with heat/mass transfer and wall properties. Int. J. Heat Mass Transf. 101, 156–165 (2016)
J. Buongiorno, Convective transport in nanofluids. J. Heat Transf. 128, 240–250 (2005)
KhS Mekheimer, M.S. Mohamed, T. Elnaqeeb, Metallic nanoparticles influence on blood flow through a stenotic artery. Int. J. Pure Appl. Math. 107, 201–220 (2016)
N. Alvi, T. Latif, Q. Hussain, S. Asghar, Peristalsis of nonconstant viscosity Jeffrey fluid with nanoparticles. Results Phys. 6, 1109–1125 (2016)
O.U. Mehmood, C. Fetecau, A note on radiative heat transfer to peristaltic flow of Sisko fluid. Appl. Bionics Biomech. 2015, Article ID: 283892 (2015)
M. Kothandapani, J. Prakash, Influence of heat source, thermal radiation, and inclined magnetic field on peristaltic flow of a hyperbolic tangent nanofluid in a tapered asymmetric channel. IEEE Trans. NanoBiosci. 14, 385–392 (2015)
T. Hayat, Z. Nisar, H. Yasmin, A. Alsaedi, Peristaltic transport of nanofluid in a compliant wall channel with convective conditions and thermal radiation. J. Mol. Liq. 220, 448–453 (2016)
K.S. Mekheimer, Y. Abd Elmaboud, Simultaneous effects of variable viscosity and thermal conductivity on peristaltic flow in a vertical asymmetric channel. Can. J. Phys. 92, 1541–1555 (2014)
T. Latif, N. Alvi, Q. Hussain, S. Asghar, Variable properties of MHD third order fluid with peristalsis. Results Phys. 6, 963–972 (2016)
S. Rosseland, Astrophysik und atom-theoretische Grundlagen (Springer, Berlin, 1931), pp. 41–44
R. Tanner, Engineering Rheology (Oxford Science Publications, Oxford, 1985)
M.M. Rashidi, S.A.M. Pour, T. Hayat, S. Obaid, Analytic approximate solutions for steady flow over a rotating disk in porous medium with heat transfer by homotopy analysis method. Comput. Fluids 54, 1–9 (2012)
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Hussain, Q., Alvi, N., Latif, T. et al. Radiative heat transfer in Powell–Eyring nanofluid with peristalsis. Int J Thermophys 40, 46 (2019). https://doi.org/10.1007/s10765-019-2510-8
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DOI: https://doi.org/10.1007/s10765-019-2510-8