Forccheimer Flow of Williamson Nano Fluid Over a Stretching Sheet With Cattaneo-Christov Heat Flux in Saturated Porous Media
DOI:
https://doi.org/10.26713/cma.v14i2.1950Keywords:
Forccheimer flow, Williamson nanofluid, Cattaneo-Christov heat flux, Porous mediumAbstract
The present study deals with heat transmission of a Williamson nanofluid on a porous plate in a Darcy-Forccheimer flow through Cattaneo-Christov heat flux, velocity, temperature and concentration slips. The basic leading equations were converted by means of similarity transformations. Later, obtained equations were resolved by “Runge-Kutta-Felhberg Method”. The velocity, temperature and the concentration profiles were driven clearly and discussed thoroughly. The values of Nusselt number and reduced Sherwood no were given in tabulated form.
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S. A. Bakar, N. M. Arifin, F. M. Ali, N. Bachok and R. Nazar, A stability analysis on forced convection boundary layer stagnation-point slip flow in Darcy-Forchheimer porous medium towards a shrinking sheet, AIP Conference Proceedings 1870 (2017), 040074, DOI: 10.1063/1.4995906.
S. A. Bakar, N. M. Arifin, R. Nazar, F. M. Ali and I. Pop, Forced convection boundary layer stagnation-point flow in Darcy-Forchheimer porous medium past a shrinking sheet, Frontiers in Heat and Mass Transfer 7 (2016), 1 – 6, DOI: 10.5098/hmt.7.38.
C. Cattaneo, Sulla Conduzione Del Calore, in: Some Aspects of Diffusion Theory, A. Pignedoli (editor), C.I.M.E. Summer Schools, Vol. 42, Springer, Berlin — Heidelberg (2011), DOI: 10.1007/978-3-642-11051-1_5.
S. U. S. Choi and J. A. Eastman, Enhancing thermal conductivity of fluids with nanoparticles, in: Developments and Applications of Non Newtonion flows, D. A. Siginer and H. P. Wang (editors), Vol. 231 (1995), 99 – 105, URL: https://ecotert.com/pdf/196525_From_unt-edu.pdf.
C. I. Christov, On frame indifferent formulation of the Maxwell–Cattaneo model of finite-speed heat conduction, Mechanics Research Communications 36(4) (2009), 481 – 486, DOI: 10.1016/j.mechrescom.2008.11.003.
Y. Do, G. K. Ramesh, G. S. Roopa and M. Sankar, Navier’s slip condition on time dependent Darcy-Forchheimer nanofluid using spectral relaxation method, Journal of Central South University 26 (2019), 2000 – 2010, DOI: 10.1007/s11771-019-4147-y.
P. Z. Forchheimer, Wasserbewegungdurch Boden, Zeitschrift des Vereins Deutscher Ingenieure 45 (1901), 1782 – 1788.
J. B. J. Fourier, Théorie Analytique de la Chaleur, Paris, 1822, reprinted by Cambridge University Press, Cambridge (2009), DOI: 10.1017/CBO9780511693229.
N. V. Ganesh, A. K. A. Hakeem and B. Ganga, Darcy–Forchheimer flow of hydromagnetic nanofluid over a stretching/shrinking sheet in a thermally stratified porous medium with second order slip, viscous and Ohmic dissipations effects, Ain Shams Engineering Journal 9(4) (2018), 939 – 951, DOI: 10.1016/j.asej.2016.04.019.
Hashim and M. Khan, On Cattaneo–Christov heat flux model for Carreau fluid flow over a slendering sheet, Results in Physics 7 (2017), 310 – 319, DOI: 10.1016/j.rinp.2016.12.031.
T. Hayat, M. Javed, M. Imtiaz and A. Alsaedi, Effect of Cattaneo-Christov heat flux on Jeffrey fluid flow with variable thermal conductivity, Results in Physics 8 (2018), 341 – 351, DOI: 10.1016/j.rinp.2017.12.007.
M. I. Khan, F. Alzahrani, A. Hobiny and Z. Ali, Estimation of entropy optimization in Darcy-Forchheimer flow of Carreau-Yasuda fluid (non-Newtonian) with first order velocity slip, Alexandria Engineering Journal 59(5) (2020), 3953 – 3962, DOI: 10.1016/j.aej.2020.06.057.
H. Masuda, A. Ebata, K. Teramae and N. Hishinuma, Changes in thermal conductivity and viscosity of liquid by ultrafine particle dispersion, Thermophysical Properties 7(4) (1993), 227 – 223, DOI: 10.2963/jjtp.7.227 (in Japanese).
M. Muskat and R. D. Wyckoff, The Flow of Homogeneous Fluids through Porous Media, 1st edition, J. W. Edwards, Inc., Ann Arbor, Michigan, xix + 763 (1946), https://blasingame.engr.tamu.edu/z_zCourse_Archive/P620_18C/P620_zReference/PDF_Txt_Msk_Flw_Fld_(1946).pdf.
M. Mustafa, Cattaneo-Christov heat flux model for rotating flow and heat transfer of upper-convected Maxwell fluid, AIP Advances 5 (2015), 047109, DOI: 10.1063/1.4917306.
S. Nadeem, S. T. Hussain and C. Lee, Flow of a Williamson fluid over a stretching sheet, Brazilian Journal of Chemical Engineering 30(3) (2013), 619 – 625, DOI: 10.1590/S0104-66322013000300019.
D. Pal and H. Mondal, Hydromagnetic convective diffusion of species in Darcy–Forchheimer porous medium with non-uniform heat source/sink and variable viscosity, International Communications in Heat and Mass Transfer 39(7) (2012), 913 – 917, DOI: 10.1016/j.icheatmasstransfer.2012.05.012.
M. A. Sadiq and T. Hayat, Darcy–Forchheimer flow of magneto Maxwell liquid bounded by convectively heated sheet, Result in Physics 6 (2016), 884 – 890, DOI: 10.1016/j.rinp.2016.10.019.
M. A. Seddeek, Influence of viscous dissipation and thermophoresis on Darcy–Forchheimer mixed convection in a fluid saturated porous media, Journal of Colloid and Interface Science 293(1) (2006), 137 – 142, DOI: 10.1016/j.jcis.2005.06.039.
A. V. Shenoy, Darcy-Forchheimer natural, forced and mixed convection heat transfer in non-Newtonian power-law fluid-saturated porous media, Transport in Porous Media 11 (1993), 219 – 241, DOI: 10.1007/BF00614813.
B. Straughan, Thermal convection with the Cattaneo-Christov model, International Journal of Heat and Mass Transfer 53(1–3) (2010), 95 – 98, DOI: 10.1016/j.ijheatmasstransfer.2009.10.001.
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