Mixed convection in an axisymmetric stagnation flow of a non-Newtonian nanofluid on a vertical cylinder

Abstract

A boundary-layer analysis is presented for the mixed convection in an axisymmetric flow of a non-Newtonian nanofluid on a vertical cylinder. The micropolar model is chosen for the non-Newtonian fluid since the spinning motion of the nanoparticles as they move along the streamwise direction can be best described by the micropolar fluid model. Numerical results for friction factor, surface heat transfer rate and mass transfer rate have been presented for parametric variations of the micropolar material parameters, Brownian motion parameter N_b, thermophoresis parameter N_t and Lewis number Le. The dependency of the friction factor, surface heat transfer rate (Nusselt number) and mass transfer rate on these parameters has been discussed. Two flow regions, namely, the buoyancy-assisted and buoyancy-opposed cases, are considered.

Keywords

Mixed convection axisymmetric stagnation flow non-Newtonian flow nanofluid

Get full access to this article

View all access options for this article.

References

Eastman

Choi

SUS

. Anomalously increased effective thermal conductivities containing copper nanoparticles. Appl Phys Lett 2001; 78: 718–720.

Choi

SUS

Zhang

. Anomalous thermal conductivity enhancement on nanotube suspensions. Appl Phys Lett 2001; 79: 2252–2254.

Patel

Das

Sundararajan

. Thermal conductivities of naked and monolayer protected metal nanoparticle based nanofluids: manifestation of anomalous enhancement and chemical effects. Appl Phys Lett 2003; 83: 2931–2933.

You

Kim

. Effect of nanoparticles on critical heat flux of water in pool boiling heat transfer. Appl Phys Lett 2003; 83: 3374–3376.

Vassallo

Kumar

D’Amico

. Pool boiling heat transfer experiments in silica-water nanofluids. Int J Heat Mass Tran 2004; 47: 407–411.

Eringen

. Theory of micropolar fluids. J Math Mech 1966; 16: 1–18.

Eringen

. Theory of thermomicropolar fluids. J Math Appl 1972; 38: 480–495.

Ariman

Turk

Sylvester

. Microcontinuum fluid mechanics—review. Int J Eng Sci 1973; 11: 905–930.

Ariman

Turk

Sylvester

. Application of microcontinuum fluid mechanics. Int J Eng Sci 1974; 12: 273–293.

10.

Lukaszewicz

. Micropolar fluids: theory and application. Basel: Birkhäuser, 1999.

11.

Eringen

. Microcontinuum field theories II: fluent media. New York: Springer, 2001.

12.

Ahmadi

. Self-similar solution of incompressible micropolar boundary layer flow over a semi-infinite plate. Int J Eng Sci 1976; 14: 639–646.

13.

Yücel

. Mixed convection in micropolar fluid flow over a horizontal plate with surface mass transfer. Int J Eng Sci 1989; 27: 1593–1602.

14.

Cebeci

Bradshaw

. Physical and computational aspects of convective heat transfer. New York: Springer, 1984.

15.

Gorla

RSR

. Heat transfer in an axisymmetric stagnation flow of a micropolar fluid on a cylinder. Trends Heat Mass Tran 2009; 11: 55–60.

16.

Lakshmi Narayana

Murthy

PVSN

Gorla

RSR

. Soret-driven thermosolutal convection induced by inclined thermal and solutal gradients in a shallow horizontal layer of a porous medium. J Fluid Mech 2008; 612: 1–19.

17.

Nield

Kuznetsov

. The Cheng-Minkowycz problem for natural convective boundary layer flow in a porous medium saturated by a nanofluid. Int J Heat Mass Tran 2009; 52: 5792–5795.