Effect of thermal asymmetries on the entropy generation analysis of a variable viscosity Couette

Abstract

The influence of viscous dissipation on forced convective heat transfer and entropy generation rate in the conduction limit for a variable-viscosity flow between asymmetrically heated parallel plates is studied in an analytical framework consistent with perturbation method. The study considers a flow of Newtonian fluid under the simultaneous action of an applied pressure gradient and an axial movement of the upper plate. The present study emphasizes on the effect of dissipative heat produced by the movable upper plate as well as viscous heating generated due to applied pressure gradient on the underlying thermo-hydrodynamic transport. A few non-dimensional parameters such as dimensionless upper plate velocity, degree of asymmetry parameter and Brinkman number have been defined and their influential role on the variation of temperature profile, the Nusselt number and entropy generation number has been discussed in detail. The study shows that the variation of Nusselt number exhibits an unbounded swing, which, in turn, leads to appearance of the point of singularities at some cases of asymmetrical plate heating. Finally, the source of appearance of point of singularities has been discussed in view of the energy balance, and from the second-law analysis of thermodynamics.

Keywords

Variable-viscosity asymmetry parameter Nusselt number Brinkman number second-law analysis entropy generation

Get full access to this article

View all access options for this article.

References

Bejan

. Entropy generation through heat and fluid flow, New York, NY: Wiley, 1994.

Brinkman

. Heat effects in capillary flow I. Appl Sci Res 1951; 2: 120–124.

Bejan

. Entropy-generation minimization, New York, NY: CRC Press, 1996.

Cheng

R-S

. Viscous dissipation effects on convective instability and heat transfer in plane Poiseuille flow heated from below. Appl Sci Res 1976; 32: 327–346.

Bejan

. Second-law analysis in heat transfer and thermal design. Adv Heat Transf 1982; 15: 1–58.

Mondal

. Entropy analysis for the Couette flow of non-Newtonian fluids between asymmetrically heated parallel plates: effect of applied pressure gradient. Phys Scr 2014; 89: 125003–125003.

Barletta

Zanchini

. The effect of buoyancy forces on laminar convection with viscous dissipation in a vertical channel. Heat Mass Transf 1998; 34: 143–149.

Tyagi

. Laminar forced convection of a disspative fluid in a channel. J Heat Transf 1966; 88: 161–169.

Mondal PK and Mukherjee S. Viscous Dissipation Effects on the limiting value of Nusselt numbers for a shear driven flow between two asymmetrically heated parallel plates. Frontiers in Heat and Mass Transfer (FHMT) 2012; 3: 033004(1-4).

10.

Sheela-Francisca

Tso

. Viscous dissipation effects on parallel plates with constant heat flux boundary conditions. Int Commun Heat Mass Transf 2009; 36: 249–254.

11.

Yavuz

Erol

Kaya

. Heat transfer characteristics of laminar annular duct flow with viscous dissipation. Proc IMechE, Part C: J Mechanical Engineering Science 2011; 225: 1681–1692.

12.

Tso

Sheela-Francisca

Hung

Y-M

. Viscous dissipation effects of power-law fluid flow within parallel plates with constant heat fluxes. J Nonnewton Fluid Mech 2010; 165: 625–630.

13.

Aydin

Avci

. Laminar forced convection with viscous dissipation in a concentric annular duct. Comptes Rendus Mec 2006; 334: 164–169.

14.

Aydin

. Effects of viscous dissipation on the heat transfer in a forced pipe flow. Part 2: Thermally developing flow. Energy Convers Manage 2005; 46: 3091–3102.

15.

Nield

Kuznetsov

Xiong

. Thermally developing forced convection in a porous medium: parallel plate channel with plates at uniform temperature, with axial conduction and viscous dissipation effects. Int J Heat Mass Transf 2003; 46: 643–651.

16.

Mondal

. Thermodynamically consistent limiting forced convection heat transfer in a asymmetrically heated porous channel: an analytical study. Transp Porous Media 2013; 100: 17–37.

17.

Aydin

Avci

. Laminar forced convection with viscous dissipation in a Couette–Poiseuille flow between parallel plates. Appl Energy 2006; 83: 856–867.

18.

Chan

Chen

Tso

. Effect of asymmetric boundary conditions on Couette–Poiseuille flow of power-law fluid. J Thermophys Heat Transf 2015; 29: 496–503.

19.

Davaa

Shigechi

Momoki

. effect of viscous dissipation on fully developed heat transfer of non-newtonian fluids in plane laminar Poiseuille–Couette flow. Int Commun Heat Mass Transf 2004; 31: 663–672.

20.

Duwairi

Tashtoush

Damseh

. On heat transfer effects of a viscous fluid squeezed and extruded between two parallel plates. Heat Mass Transf 2004; 41: 112–117.

21.

Hatton

Quarmby

. Heat transfer in the thermal entry length with laminar flow in an annulus. Int J Heat Mass Transf 1962; 5: 973–980.

22.

White

Muller

. Viscous heating and the stability of Newtonian and viscoelastic Taylor–Couette flows. Phys Rev Lett 2000; 84: 5130–5133.

23.

Mondal

Mukherjee

. Viscous dissipation effects on the limiting value of Nusselt numbers for a shear-driven flow through an asymmetrically heated annulus. Proc IMechE, Part C: J Mechanical Engineering Science 2012; 226: 2941–2949.

24.

Mondal

Mukherjee

. Towards the investigation of heat transfer characteristics in a viscous dissipative shear driven flow through an annulus: an analytical study. Heat Transf Res 2013; 42: 569–588.

25.

Mahmud

Fraser

. Thermodynamic analysis of flow and heat transfer inside channel with two parallel plates. Exergy 2002; 2: 140–146.

26.

Moghaddami

Mohammadzade

Esfehani

SAV

. Second law analysis of nanofluid flow. Energy Convers Manage 2011; 52: 1397–1405.

27.

Makinde

Aziz

. Second law analysis for a variable viscosity plane Poiseuille flow with asymmetric convective cooling. Comput Math with Appl 2010; 60: 3012–3019.

28.

Bejan

. Second law analysis in heat transfer. Energy 1980; 5: 720–732.

29.

Makinde

Maserumule

. Thermal criticality and entropy analysis for a variable viscosity Couette flow. Phys Scr 2008; 78: 015402–015402.

30.

Repaka

Satyamurty

. Limiting Nusselt numbers for viscous dissipative flow between parallel plates kept at unequal temperatures. Int Commun Heat Mass Transf 2010; 37: 1251–1254.

Effect of thermal asymmetries on the entropy generation analysis of a variable viscosity Couette–Poiseuille flow

Abstract

Keywords

Get full access to this article

References