Brownian moment and thermophoresis effects on unsteady liquid film flow of MHD Carreau fluid over a stretching sheet

K.Avinash; R.Hemadri Reddy

doi:https://doi.org/10.14445/22315373/IJMTT-V47P515

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 47 | Number 2 | Year 2017 | Article Id. IJMTT-V47P515 | DOI : https://doi.org/10.14445/22315373/IJMTT-V47P515

Brownian moment and thermophoresis effects on unsteady liquid film flow of MHD Carreau fluid over a stretching sheet

K.Avinash, R.Hemadri Reddy

Citation :

K.Avinash, R.Hemadri Reddy, "Brownian moment and thermophoresis effects on unsteady liquid film flow of MHD Carreau fluid over a stretching sheet," International Journal of Mathematics Trends and Technology (IJMTT), vol. 47, no. 2, pp. 113-127, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V47P515

Abstract

In this study, we analyzed the flow, heat and mass transfer nature of magnetohydrodynamic (MHD) steady/unsteady liquid film flow of Carreau fluid past a stretching sheet in the presence of thermophoresis and Brownian moment effects. Similarity transformation is used to convert the partial differential equations to nonlinear ordinary differential equations. Further, the transformed equations are solved numerically by employing bvp5c Matlab package. The effects of various controlling flow parameters on the flow, heat and mass transfer are examined and discussed in detail in steady and unsteady cases. It is found that flow, thermal and concentration boundary layers are non-uniform for steady and unsteady cases. Brownian moment and thermophoresis parameters regulate the heat and mass transfer rates.

Keywords

MHD, thin film flow, Carreau fluid, thermophoresis, Brownian motion.

References

1. L.J. Crane, Flow past a stretching plate, Zeitschrift fur angewandteMathematik and Physik ZAMP, 21 (1970) 645-647.
2. J. Zhu, Drag and mass transfer for flow of a Carreau fluid past a swarm of Newtonian drops, Int. J. Multiphase Flow, 21 (5) (1995) 935-940.
3. H. Anderson, Slip flow past a stretching surface,Acta Mech., 158 (2002) 121-125.
4. M. Khan and Hasim, Boundary layer flow and heat transfer to Carreau fluid over a nonlinear stretching sheet, AIP Advances, 5 (10) 2015.
5. B. Siska, H. Bendova and I. MacHac, Terminal velocity of non-spherical particles falling through a Carreau model liquid, Chem. Eng. Process, 44(12) (2005) 1312-1319. 6. Y.H. Hyun, S.T. Lim, H.J. Choi and M. S. John, Rheology of poly(ethylene oxide)/organoclay nanocomposites Macromolecules, 34(23) (2001) 8084-8093.
7. T. Hayat, N. Sallem and N. Ali, Effect of induced magnetic field on peristaltic transport of a Carreau fluid, Com. Nonlin. Sci. NumerSim., 15 (2010) 2407-2423.
8. C.S.K. Raju and N. Sandeep, Unsteady three-dimensional flow of Casson-Carreau fluids past a streatcing surface, Alexandria Eng. J., 55(2) (2016) 1115-1126.
9. N. S. Akbar, S. Nadeem and Z. H. Khan, Numerical simulation of peristaltic flow of a Carreaunanofluid in an asymmetric channel, Alexandria Eng. J., 53 (2014) 191-197.
10. N. S. Akbar and S. Nadeem, Carreau fluid model for blood flow through a tapered artery with a stenosis, Ain Shams Eng. J., 5(4) (2014) 1307-1316.
11. W. Ibrahim and B. Shankar, MHD boundary layer flow and heat transfer of a nanofluid past a permeable stretcing sheet with velocity, thermal and solutal slip boundary conditions, Computers & Fluids, 75 (2013) 1-10.
12. C. S.K. Raju, S. M. Ibrahim, S. Anuradha and P. Priyadharshini, Bio-convection on the nonlinear radiative flow of a Carreau fluid over a moving wedge with suction or injection, The Europ. Phy. J. Plus, 131(11) (2016) 409.
13. Z. Haddad, E. A. Nada, H. F. Oztop and A. Mataoui, Natural convection in nanofluids :are the thermophoresis and Brownian motion effects significant in nanofluids heat transfer enhancement, Int. j. of Ther. Sci., 57 (2012) 152-162.
14. M. Sheikholeslami and D.D. Ganji, Three dimensional heat and mass transfer in a rotating system using nanofluid, Powder Technology, 253 (2014) 789-796.
15. J. A. Khan, M. Mustafa, T. Hayat and A. Alsaedi, Three-dimensional flow of nanofluid over a non-linearly stretching sheet : An application to solar energy, Int. J. of Heat and Mass Tran., 86 (2015) 158-164.
16. M. JayachandraBabu and N. Sandeep, Three-dimensional MHD slip flow of nanofluids over a slendering stretching sheet with thermophoresis and Brownian motion effects, Advanced Powder Tech., 27(5) (2016) 2039-2050.
17. A. Falana, O.A Ojewale and T.B. Adeboje, Effect of Brownian motion and thermophoresis on a nonlinearly stretching permeable sheet in a nonofluid, Advanced in Nanoparticle, 5 (2016) 123-134.
18. P. De, D. Pal, H. Mondal and U.T. Kumar, Effects of Thermophoresis and Brownian motion on magnetohydJ. Rodynamic convective-radiative heat and mass transfer of a nanofluid over a nonlinear stretching shettofNanofluids, 6(1), 164-172 (2017).
19. M. Sathish Kumar, N. Sandeep and B. Rushi Kumar, Free convective heat transfer of MHD dissipative Carreaunanofluid flow over a stretching sheet,FHMT, 8,13 (2017).
20. M. Khan and M. Azam, Unsteady heat and mass transfer mechanisms in MHD Carreaunanofluid flow, J. of Molecular Liquids, 225, 554-562 (2017).
21. N.Sandeep, Effect of Aligned Magnetic field on liquid thin film flow of magnetic-nanofluid embedded with graphene nanoparticles, Advanced Powder Technology, 28, 865–875, 2017.
22. M.JayachandraBabu, N.Sandeep, UCM flow across a melting surface in the presence of double stratification and cross-diffusion effects, Journal of Molecular Liquids, 232, 27-35, 2017.
23. P. Mohan Krishna, N. Sandeep, Ram Prakash Sharma, Computational analysis of plane and parabolic flow of MHD Carreau fluid with buoyancy and exponential heat source effects, European Physical Journal Plus, 132: 202, 2017.
24. G.Kumaran, N.Sandeep, M.E.Ali, Computational analysis of magneto-hydrodynamic Casson and Maxwell flows over a stretching sheet with cross diffusion, Results in Physics, 7, 147-155, 2017.
25. M.E.Ali, N.Sandeep, Cattaneo-Christov model for radiative heat transfer of magnetohydrodynamicCasson-ferrofluid: A numerical study, Results in Physics, 7, 21-30, 2017.
26. N.Sandeep, A.Malvandi, Enhanced heat transfer in liquid thin film flow of non-Newtonian nanofluids embedded with graphene nanoparticles, Advanced Powder Technology, 27, 2448–2456, 2016.
27. M.JayachandraBabu, N.Sandeep, Three-dimensional MHD slip flow of a nanofluid over a slendering stretching sheet with thermophoresis and Brownian motion effects, Advanced Powder Technology, 27, 2039-2050, 2016.
28. Stagnation-point flow of a Jeffrey nano fluid over a stretching surface with induced magnetic field and chemical reaction, Int.J.Eng. Resaech in Afrika, 20, 93-111, 2016.
29. P.M.Krishna, N.Sandeep, J.V.R.Reddy, V.Sugunamma, Dual solutions for unsteady flow of Powell-Eyring fluid past an inclined stretching sheet, J.Naval. Arch.MarineEng, 13, 89-99, 2016.
30. H. Xu, I.Pop, and Xiang-Cheng You, Flow and heat transfer in a nano-liquid film over an unsteady stretching surface, International Journal of Heat and Mass Transfer, 60 (2013) 646-652.