Effect of Exponentially Variable Viscosity and Permeability on Blasius Flow of Carreau Nano Fluid over an Electromagnetic Plate through a Porous Medium

Document Type: Research Paper


1 Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore - 641020, India

2 Department of Physics, Radhakrishna Institute of Technology and Engineering, Biju Patnaik University of Technology, Odisha, India

3 Faculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395, South Africa


The present investigation draws scholars' attention to the effect of exponential variable viscosity modeled by Vogel and variable permeability on stagnation point flow of Carreau Nanofluid over an electromagnetic plate through a porous medium. Brownian motion and thermophoretic diffusion mechanism are taken into consideration. An efficient fourth-order RK method along with shooting technique are implemented to obtain the required solution of the non-dimensional modeled equations. The contribution of the present study is that augmented electromagnetic field strength due to the suitable arrangement of the plate and that of porosity parameter yield an accelerated motion while that of viscosity parameter produces retarded motion of shear-thickening fluid, contrary to shear-thinning fluid. At the same time, it discusses the inclusion of porous matrix which controls the thermal as well as concentration boundary layers, while enhanced Brownian motion exhibits diametrically opposite trend for them in response to shear-thickening fluid.


Main Subjects

[1] S.U.S. Choi, Enhancing thermal conductivity of fluids with nanoparticles, ASME Fluids Eng. Division 231 (1995) 99–105.

[2] Y. Xuan, Q. Li, Investigation on convective heat transfer and flow features of nanofluids, J. Heat Transfer 125 (2003) 151-155.

[3] N. Kumar, S.S. Sonawane, Experimental study of Fe2O3/water and Fe2O3/ ethylene glycol nanofluid heat transfer enhancement in a shell and tube heat exchanger, Int. Commun. Heat Mass Transf. 78 (2016) 277–284.

[4] W. Khan and I. Pop, Boundary-layer flow of a nanofluid past a stretching sheet, Int. J. Heat Mass Transf. 53 (2010) 2477-2483.

[5] Kh. Hosseinzadeh, F. Afsharpanah, S. Zamani, M. Gholinia, D.D. Ganji, A numerical investigation on ethylene glycol-titanium dioxide nanofluid convective flow over a stretching sheet in presence of heat generation/absorption, Case Studies Therm. Eng. 12 (2018) 228–236.

[6] S.S. Ghadikolaei, Kh. Hosseinzadeh, D.D. Ganji, B. Jafari, Nonlinear thermal radiation effect on magneto Casson nanofluid flow with Joule heating effect over an inclined porous stretching sheet, Case Studies Therm. Eng. 12 (2018) 176-187.

[7] S.S. Ghadikolaei, Kh. Hosseinzadeh, D.D. Ganji, Analysis of unsteady MHD Eyring-Powell squeezing flow in stretching channel with considering thermal radiation and Joule heating effect using AGM , Case Studies in Therm. Eng. 10 (2017) 579-594.

[8] S.S. Ghadikolaei, M. Yassari, H. Sadeghi, Kh. Hosseinzadeh, D.D. Ganji, Investigation on thermophysical properties of Tio2–Cu/H2O hybrid nanofluid transport dependent on shape factor in MHD stagnation point flow, Powder Technol. 322 (2017) 428-438.

[9] A.S. Dogonchi, M.Hatami, Kh. Hosseinzadeh, G. Domairry, Non-spherical particles sedimentation in an incompressible Newtonian medium by Padé approximation, Powder Technol. 278 (2015) 248-256.

[10] M.K. Nayak, N.S. Akbar, V.S. Pandey, Z.H. Khan, D. Tripathi, MHD 3D free convective flow of nanofluid over an exponential stretching sheet with chemical reaction, Adv. Powder Technol. 28(9) (2017) 2159-2166.

[11] M.K. Nayak, N.S. Akbar, V.S. Pandey, Z.H. Khan, D. Tripathi, 3D free convective MHD flow of nanofluid over permeable linear stretching sheet with thermal radiation, Powder Technol. 315 (2017) 205-215.

[12] M.K. Nayak, MHD 3D flow and heat transfer analysis of nanofluid by shrinking surface inspired by thermal radiation and viscous dissipation, Int. J. Mech. Sci. 124 (2017) 185-193.

[13] M. Khan and M. Azam, Unsteady heat and mass transfer mechanisms in MHD Carreau nanofluid flow, J. Mol. Liq. 225 (2017) 554-562.

[14] M. Khan, M. Azam, A. Munir, Unsteady Falkner-Skan flow of MHD Carreau nanofluid past a static/moving wedge with convective surface condition, J. Mol. Liq. 230 (2017) 48-58.

[15] A. Pantokratoras, E. Magyari, MHD free-convection boundary-layer flow from a Riga-plate, J. Eng. Math. 64 (2009) 303-315.

[16] R. Ahmad, M. Mustafa, M. Turkyilmazoglu, Buoyancy effects on nanofluid flow past a convectively heated vertical Riga-plate: A numerical study, Int. J. Heat Mass Transf. 111 (2017) 827–835.

[17] M.K. Nayak, S. Shaw, O.D. Makinde, A.J. Chamkha, Effects of Homogenous–Heterogeneous reactions on radiative NaCl-CNP nanofluid flow past a convectively heated vertical Riga plate, J. Nanofluids 7(4) (2018) 1-10.

[18] R. Mehmood,  M.K. Nayak, Noreen Sher Akber, O.D. Makinde, Effects of thermal-diffusion and diffusion-thermo on oblique stagnation point flow of couple stress Casson fluid over a stretched horizontal Riga plate with higher order chemical reaction, J. Nanofluids 8(1) (2019) 94-102

[19] S. Shaw, M.K. Nayak, O.D. Makinde, Transient rotational flow of radiative nanofluids over an impermeable Riga plate with variable properties, Defect and Diffusion Forum 387 (2018) 640-652.

[20] M.K. Nayak, A.K. Abdul Hakeem, O.D. Makinde, Influence of Catteneo-Christov Heat Flux Model on Mixed Convection Flow of Third Grade Nanofluid over an Inclined Stretched Riga Plate, Defect and Diffusion Forum 387 (2018) 121-134.

[21] M.K. Nayak, M.M Bhatti, O.D. Makinde,N.S. Akbar, Transient Magneto-Squeezing Flow of NaCl-CNP Nanofluid over a Sensor Surface Inspired by Temperature Dependent Viscosity, Defect and Diffusion Forum 387 (2018) 600-614.

[22] M.K. Nayak, S. Shaw, O.D. Makinde, A. J. Chamkha, Investigation of Partial Slip and Viscous Dissipation Effects on the Radiative Tangent Hyperbolic Nanofluid Flow Past a Vertical Permeable Riga Plate with Internal Heating: Bungiorno Model, J. Nanofluids 8(1) 2019. DOI:10.1166/jon.2019.1576.

[23] M. Roy, P. Biswal, S. Roy, T. Basak, Heat flow visualization during mixed convection within entrapped porous triangular cavities with moving horizontal walls via heatline analysis, Int. J Heat Mass Transf. 108 (2017) 468–489.

[24] T. Javed, Z. Mehmood, M.A. Siddiqui, I. Pop, Study of heat transfer in water-Cu nanofluid saturated porous medium through two entrapped trapezoidal cavities under theinfluence of magnetic field, J. Mol. Liq. 240 (2017) 402-411.

[25] M.K. Nayak, Chemical reaction effect on MHD viscoelastic fluid over a stretching sheet through porous medium, Meccanica 51 (2016) 1699-1711.

[26] S.S. Ghadikolaei, Kh. Hosseinzadeh, D.D. Ganji, M. Hatami, Fe3O4–(CH2OH)2 nanofluid analysis in a porous medium under MHD radiative boundary layer and dusty fluid, J. Mol. Liq. 258 (2018) 172-185.

[27] A. Ahmad, S. Asghar, S. Afzal, Flow of nanofluid past a Riga-plate, J. Magn. Magn. Mater. 402 (2016) 44–48.

[28] M. Alizadeh, A.S. Dogonchi, D.D. Ganji, Micropolar nanofluid flow and heat transfer between penetrable walls in the presence of thermal radiation and magnetic field, Case Studies in Therm. Eng. 12 (2018) 319–332.

[29] A.S. Dogonchi, M. Alizadeh, D.D. Ganji, Investigation of MHD Go-water nanofluid flow and heat transfer in a porous channel in the presence of thermal radiation effect, Adv. Powder Technol. 28(7) (2017) 1815-1825.

[30] S.S. Ghadikolaei, Kh. Hosseinzadeh, D.D. Ganji, Investigation on three dimensional squeezing flow of mixture base fluid (ethylene glycol-water) suspended by hybrid nanoparticle (Fe3O4-Ag) dependent on shape factor, J. Mol. Liq. 262 (2018) 376-388.

[31] M. Hatami, M. Sheikholeslami, M. Hosseini, D.D. Ganji, Analytical investigation of MHD nanofluid flow in non-parallel walls, J. Mol. Liq. 194 (2014) 251-259.