1. Jafari, A., Zamankhan, P., Mousavi, S.M., et al. Numerical investigation of blood ow. Part II: In capillaries", Commun. in Nonlinear Sci. and Numer. Simul., 14(4), pp. 1396{1402 (2009). 2. Goerke, A.R., Leung, J., and Wickramasinghe, S.R. Mass and momentum transfer in blood oxygenators", Chem. Engng. Sci., 57, pp. 2035{2046 (2002). 3. Wernert, V., Schaf, O., Ghobarkar, H., et al. Adsorption properties of zeolites for arti_cial kidney applications", Microporous and Mesoporous Materials, 83(1{3), pp. 101-113 (2005). 4. Mneina, S.S. and Martens, G.O. Linear phase matched _lter design with causal real symmetric impulse response", AEU-Int. J. of Elect. and Commun., 63(2), pp. 83-91 (2009). 5. Runstedtler, A. On the modi_ed Stefan-Maxwell equation for isothermal multicomponent gaseous diffusion", Chem. Engng. Sci., 61(15), pp. 5021{5029 (2006). 6. Andoh, Y.H. and Lips, B. Prediction of porous walls thermal protection by e_usion or transpiration cooling. An analytical approach", Appl. Therm. Engng., 23(15), pp. 1974{1958 (2003). 7. Berman, A.S. Laminar ow in channels with porous walls", J. of Appl. Phys., 24(9), pp. 1232{1235 (1953). 8. Shekholeslami, M., Ashorynejad, H.R., Domairry, D., et al. Investigation of the laminar viscous ow in a semi-porous channel in the presence of uniform magnetic _eld using optimal homotopy asymptotic method", Sains Malaysiana, 41(10), pp. 1281{1285 (2012). 9. Choi, S.U.S., Zhang, Z.G., Yu, W., et al. Anomalous thermal conductivity enhancement in nanotube suspensions", Appl. Phys. Lett., 79(14), p. 2252 (2001). 10. Choi, S.U.S. and Eastman, J.A. Enhancing thermal conductivity of uids with nanoparticles", The Proceedings of the 1995 ASME International Mechanical Engineering Congress and Exposition, ASME, San Francisco, USA, FED 231/MD, 66, pp. 99{105 (1995). 11. Goharkhah, M. and Ashjaee, M. E_ect of an alternating nonuniform magnetic _eld on ferrouid ow and heat transfer in a channel", J. of Mag. and Magn. Mat., 362, pp. 80{89 (2014). 12. Abbas, Z. and Hasnain, J. Two-phase magnetoconvection ow of magnetite (Fe3O4) nanoparticles in a horizontal composite porous annulus", Results in Physics, 7, pp. 574{580 (2017). 13. Ghasemian, M., Naja_an Ashra_, Z., Goharkhah, M., and Ashjaee, M. Heat transfer characteristics of Fe3O4 ferrouid owing in a mini channel under constant and alternating magnetic _elds", Journal of Magnetism and Magnetic Materials, 381 pp. 158{167 (2015). 14. Sheikholeslami, M., Ganji, D.D., and Rashidi, M.M. Ferrouid ow and heat transfer in a semi annulus enclosure in the presence of magnetic source considering thermal radiation", J. of the Taiwan Inst. of Chem. Eng., 47 pp. 6{17 (2015). 15. Soleimani, S., Sheikholeslami, M., Ganji, D.D., et al. Natural convection heat transfer in a nanouid _lled semi-annulus enclosure", Int. Commun. in Heat and Mass Trans., 39(4), pp. 565{574 (2012). 16. Sheremet, M.A., Trimbias, R., Grsoan, T., et al. Natural convection of an alumina-water nanouid inside an inclined wavy-walled cavity with a non-uniform heating using Tiwari and Das' nanouid model", Appl. Math. and Mech., 39(10), pp. 1425{1436 (2018). Z. Abbas et al./Scientia Iranica, Transactions B: Mechanical Engineering 27 (2020) 2465{2477 2475 17. Siddiqui, A.A. and Sheikholeslami, M. TiO2-water nanouid in a porous channel under the e_ects of an inclined magnetic _eld and variable thermal conductivity", Appl. Math. and Mech., 39(8), pp. 1201{1216 (2018). 18. Wakif, A., Boulahia, Z., and Sehaqui, R. Numerical study of the onset of convection in a Newtonian nanouid layer with spatially uniform and non uniform internal heating", J. of Nanouids, 6(1), pp. 136{148 (2017). 19. Wakif, A., Boulahia, Z., and Sehaqui, R. Numerical analysis of the onset of longitudinal convective rolls in a porous medium saturated by an electrically conducting nanouid in the presence of an external magnetic _eld", Results in Physics, 7 pp. 2134{2152 (2017). 20. Wakif, A., Boulahia, Z., Ali, F., et al. Numerical analysis of the unsteady natural convection MHD Couette nanouid ow in the presence of thermal radiation using single and two-phase nanouid models for cu-water nanouids", Int. J. of Appl. and Comput. Math., 4(3), pp. 1{27 (2018). 21. Wakif, A., Boulahia, Z., and Sehaqui, R. A semianalytical analysis of electro-thermo-hydrodynamic stability in dielectric nanouids using Buongiorno's mathematical model together with more realistic boundary conditions", Res. in Phys., 9, pp. 1438{1454 (2018). 22. Wakif, A., Boulahia, Z., Mishra, S.R., Rashidi, M.M., and Sehaqui, R. Inuence of a uniform transverse magnetic _eld on the thermo-hydrodynamic stability in water-based nanouids with metallic nanoparticles using the generalized Buongiorno's mathematical model", The Europ. Phys. J. Plus, 133(181), pp. 1{16 (2018). 23. Wakif, A., Boulahia, Z., Amine, A., et al. Magnetoconvection of alumina-water nanouid within thin horizontal layers using the revised generalized buongiorno's model", Front. in Heat and Mass Trans., 12(3), pp. 1{15 (2019). DOI: 10.5098/HMT.12.3 24. Garoosi, F., Hoseininejad, F., and Rashidi, M.M. Numerical study of natural convection heat transfer in a heat exchanger _lled with nanouids", Energy, 109, pp. 664{678 (2016). 25. Abbas, T., Ayub, M., Bhatti, M., et al. Entropy generation on nanouid ow through a horizontal riga plate", Entropy, 18(6), pp. 1{11 (2016). DOI: 10.3390/e18060223 26. Mohebbi, R. and Rashidi, M.M. Numerical simulation of natural convection heat transfer of a nanouid in an L-shaped enclosure with a heating obstacle", J. of the Taiwan Inst. of Chem. Eng., 72, pp. 70{84 (2017). 27. Bashirnezhad, K., Rashidi, M.M., Yang, Z., et al. A comprehensive review of last experimental studies on thermal conductivity of nanouids", J. of Ther. Anal. and Calor., 122(2), pp. 863{884 (2015). 28. Jha, B.K. and Aina, B. Magnetohydrodynamic natural convection ow in a vertical micro-porous-annulus in the presence of radial magnetic _eld", J. of Nanouids, 5(2), pp. 292{301 (2016). 29. Jha, B.K. and Aina, B. Role of suction/injection on steady fully developed mixed convection ow in a vertical parallel plate microchannel", Ain Shams Engng. J., 9(4), pp. 747{755 (2016). 30. Sheikholeslami, M., Hatami, M., and Ganji, D.D. Analytical investigation of MHD nanouid ow in a semi-porous channel", Powd. Tech., 246, pp. 327{336 (2013). 31. Stern, R.H. and Rasmussen, H. Left ventricular ejection: model solution by collocation, an approximate analytical method", Comp. in Bio. and Medi., 26, pp. 255{261 (1996). 32. Vaferi, B., Salimi, V., Baniani, D.D., et al. Prediction of transient pressure response in the petroleum reservoirs using orthogonal collocation", J. of Petrol. Sci. and Engng., 98-99, pp. 156{163 (2012). 33. Aziz, A. and Bouaziz, M.N. A least squares method for a longitudinal _n with temperature dependent internal heat generation and thermal conductivity", Ener. Conver. and Manag., 52(8{9), pp. 2876{2882 (2011). 34. Bouaziz, M.N. and Aziz, A. Simple and accurate solution for convective-radiative _n with temperature dependent thermal conductivity using double optimal linearization", Ener. Conver. and Manag., 51(12), pp. 2776{2782 (2010). 35. Abbas, Z., Rahim, T., and Hasnain, J. Slip ow of magnetite-water nanomaterial in an inclined channel with thermal radiation", Int. J. of Mech. Sci., 122, pp. 288{296 (2017). 36. Ashmawy, E.A. Fully developed natural convective micropolar uid ow in a vertical channel with slip", J. of the Egyp. Mathe. Soc., 23(3), pp. 563{567 (2015). 37. Abbas, Z., Hasnain, J., and Sajid, M. MHD two-phase uid ow and heat transfer with partial slip", Thermal Science, 20, pp. 1435{1446 (2016). 38. Sanyal, D.C. and Sanyal, M.K. Hydromagnetic slip ow with heat transfer in an inclined channel", Czech. J. of Phys., B., 39, pp. 529{536 (1989). 39. Finlayson, B.A. and Scriven, L.E. The method of weighted residuals-A reviews", Appl. Mech. Reviews, 19, pp. 735{748 (1966).