MHD Boundary Layer Flow of a Nanofluid over an Exponentially Permeable Stretching Sheet with radiation and heat Source/Sink

Document Type : Original Research Paper

Authors

1 Department of Mathematics, Osmania University, Hyderabad Telangana, India

2 Department of Mathematics, R.B.V.R.R. women’s college, Hyderabad Telangana, India

Abstract

The problem of steady Magnetohydrodynamic boundary layer flow of an electrically conducting nanofluid due to an exponentially permeable stretching sheet with heat source/sink in presence of thermal radiation is numerically investigated. The effect of transverse Brownian motion and thermophoresis on heat transfer and nano particle volume fraction considered. The governing partial differential equations of mass, momentum, energy and nanoparticle volume fraction equations are reduced to ordinary differential equations by using suitable similarity transformation. These equations are solved numerically using an implicit finite difference
scheme, for some values of flow parameters such as Magnetic parameter (M), Wall mass transfer parameter(S), Prandtl number(Pr), Lewis number (Le), Thermophoresis parameter (Nt), Brownian motion parameter(Nb), Radiation parameter (R). The numerical values presented graphically and analized for velocity, temperature and nanoparticle volume fraction.

Keywords

References

[1]B.C.Sakiadas: Boundary layer behaviour on continous solid surface,  AICHEJ 7 (1961) 21- 28.
[2]L. J. Crane: Flow past a stretching plate, Zeitschrift  fur Angewandte  Mathematik und Physik ZAMP 21(1970) 645–647.
[3]F.K. TSOU, E.M sparrow, V. Goldstein: Flow and heat transfer in the boundary layer flow on a continous moving surface, Int.Journal of Heat and Mass Transfer 10 (1967) 219-235.
[4]E. M. A. Elbashbeshy: Heat transfer over an exponentially stretching continuous surface with suction, Archives of Mechanics 53 (2001) 643–651.
[5]E. Magyari, B. Keller: Heat and mass transfer in the boundary layers on an exponentially stretching Continuous surface, Journal of Physics D 32(1999) 577–585.
[6]M.K. Partha, P. V. S. N. Murthy, G. P. Rajasekhar: Effect of viscous dissipation on the mixed convection heat transfer from an exponentially stretching surface, Heat and Mass Transfer 41(2005) 360–366.
[7]A. Ishak: MHD boundary layer flow due to an exponentially stretching sheet with radiation effect,SainsMalaysiana 40 (2011) 391–395.
[8]K. Bhattacharyya: Boundary layer flow and heat transfer over an exponentially shrinking sheet, Chinese Physics Letters 28, Article ID 074701 (2011).
 [9]N. Kishan, P. Kavitha: MHD Non-Newtonian Power Law Fluid Flow and Heat Transfer Past a Non-Linear Stretching Surface with Thermal Radiation and  Viscous Dissipation,  International Journal of Applied Mathematics 29 (2014)1318-    1332 .
 [10]K. Bhattacharyya , I. Pop: MHD boundary layer flow due to an exponentially shrinking sheet,Magnetohydrodynamics 47 (2011) 337–344.
[11]R.K. Gupta, T. Sridhar: Visco-elastic effects in non-Newtonian flow through porous media, Rheol Acta 24 (1985) 148-51.
[12]S. Abel, PH. Veena: Visco-elastic fluid flow and heat transfer in a porous medium over a stretching sheet,  Int.J Non-Linear Mech 33 (1998) 531-8.
[13]R. Sharma: Effects of Viscous- elastics fluid flow and heat source on unsteady boundary layer flow and heat transfer past stretching surface embedded in a porous medium using element free Galerkin method, Appl. Math Comput 219 (2012) 976 -87.
[14]S. U. S. Choi: Enhancing thermal conductivity of fluids with nanoparticles, in Proceedings of the ASME International Mechanical Engineering Congress and Exposition 66 (1995) 99–105.
[15]H. Masuda, A. Ebata, K. Teramae, N. Hishinuma: Alteration of thermal conductivity and viscosity of liquid by dispersing ultra-fine particles, Netsu Bussei 7 (1993) 227–233,.
[16]J. Buongiorno: Convective transport in nanofluids, Journal of Heat Transfer 128 (2006) 240–250.
[17]D. A. Nield, A. V. Kuznetsov: The Cheng-Minkowycz problemfor natural convective boundary-layer flow in a porous medium saturated by a nanofluid, International Journal of Heat and Mass Transfer 52 (2009) 5792–5795.
[18]A. V. Kuznetsov, D. A. Nield: Natural convective boundarylayer flow of a nanofluid past a vertical plate, International Journal ofThermal Sciences 49 (2010) 243–247.
[19]Rosmila et. As  theorectically studied the problem of steady boundary layer flow of a nanofluid past a porous stretching surface with variable stream conditions and chemical reaction (2011).
[20]N.C. Rosc et.al, T. Grosan,I. Pop: stagnation point flow and mass transfer past a permeable stretching /shrinking sheet  in a nano fluid, Sains Malaysiana 41(2012) 1271-1279.
[21]W. A. Khan, I. Pop, Boundary-layer flow of a nanofluid past a stretching sheet, International Journal of  Heat and Mass Transfer53 (2010) 2477–2483.
[22]D. A. Nield, A. V. Kuznetsov: The Cheng-Minkowycz problemfor natural convective boundary-layer flow in a porous medium saturated by a nanofluid,International Journal of Heat and Mass Transfer 52 (2009) 5792–5795.
[23]O.D.Makinde, A. Aziz: Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition, The International Journal ofThermal Sciences 50 (2011) 1326–1332.
[24]R. Kandasamy, P. Loganathan, P. Puvi Arasu: Scaling group transformation for MHD boundary-layer flow of a nanofluid past a vertical stretching surface in the presence of suction/injection, Nuclear Engineering and Design 241 (2011) 2053–2059.
[25]P. Rana, R. Bhargava: Flow and heat transfer of a nanofluid over a nonlinearly stretching sheet: a numerical study, Communications in Nonlinear Science and Numerical Simulation 17(2012) 212–226.
[26]F. M. Hady, F. S. Ibrahim, S. M. Abdel-Gaied, M. R. Eid: Radiation effect on viscous flow of a nanofluid and heat transfer over a nonlinearly stretching sheet, Nanoscale ResearchLetters 7 article 229 (2012).
[27]H. naw, N. Kishan: MHD  boundary layer flow and heat transfer of nanofluid past a nonlinearly with stretching / shrinking sheet with thermal radiation Journal Nanofluids 3 (2014) 1-9.
[28]C. Srinivas Reddy, N. Kishan, B. Chandra Shekar: MHD Boundary Layer Flow and Heat Transfer of a Nanofluid Over Shrinking Sheet with Mass Suction and Chemical Reaction, Journal of Nanofluids 4 (4) 518-527.
[29]K. Bhattacharyya, G. C. Layek: MHD boundary layer flow of nanofluid over an exponentially stretching prmeable sheet, Physics R.J (2014) Article ID 592536.
 
 
 
 
 
 
Challenges in Nano and Micro Scale Science and Technology
Volume 4, Issue 1 - Serial Number 1
January 2016
Pages 44-51

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