Analysis of Entropy Generation in a Generalized Couette Flow between Two Concentric Pipes with Buoyancy Effect
Keywords:Generalized couette flow, concentric pipe annulus, variable viscosity, bouyancy force, heat transfer, entropy generation.
Heat transfer and entropy generation analysis in buoyancy driven generalized Couette flow of variable viscosity fluid within the annulus of two concentric cylindrical pipes are theoretically investigated. It is assumed that the inner cylinder is fixed while the outer one is subjected to axial motion. The governing nonlinear equation models are obtained and solved numerically using shooting quadrature. The results for velocity and temperature profiles are utilized to compute entropy generation number and the Bejan number. Relevant results are displayed graphically and discussed quantitatively.
Makinde OD, Franks O. On MHD unsteady reactive Couette flow with heat transfer and variable properties. Central European Journal of Engineering 2014; 4(1): 54-63. http://dx.doi.org/10.2478/s13531-013-0139-0
Attia HA, Sayed-Ahmed ME. Unsteady hydromagnetic generalized Couette flow of a non-Newtonian fluid with heat transfer between parallel porous plates. Heat Transfer 2008; 130(11): 11454-1. http://dx.doi.org/10.1115/1.2927392
Theuri D, Makinde OD. Thermodynamic analysis of variable viscosity MHD unsteady generalized Couette flow with permeable walls: Applied and Computational Mathematics 2014; 3(1): 1-8. http://dx.doi.org/10.11648/j.acm.20140301.11
Asghara S, Ahmada A. Unsteady Couette flow of viscous fluid under a non-uniform magnetic field. Applied Mathematics Letter 2012; 25: 1953-1954. http://dx.doi.org/10.1016/j.aml.2012.03.008
Chinyoka T, Makinde OD. Analysis of transient generalized Couette flow of a reactive variable viscosity third-grade liquid with asymmetric convective cooling. Mathematical and Computer Modelling 2011; 54: 160-174. http://dx.doi.org/10.1016/j.mcm.2011.01.047
Eegunjobi AS, Makinde OD. Entropy generation analysis in transient variable viscosity Couette flow between two concentric pipes. Journal of Thermal Science and Technology 2014; 9(2): JTST 0008.
Liua Y, Zhenga L, Zhang X. Unsteady MHD Couette flow of a generalized Oldroyd-B fluid with fractional derivative. Computer and Mathematics with Application 2011; 61: 443-453. http://dx.doi.org/10.1016/j.camwa.2010.11.021
Asghar S, Hayat T and Ariel PD. Unsteady Couette flows in a second grade fluid with variable material properties. Communications in Nonlinear Science and Numerical Simulation 2009; 14: 154-159. http://dx.doi.org/10.1016/j.cnsns.2007.07.016
Dou HS, Khoo BC, Yeo KS. Instability of Taylor-Couette flow between concentric rotating cylinders. International Journal of Thermal Sciences 2008; 47: 1422-1435. http://dx.doi.org/10.1016/j.ijthermalsci.2007.12.012
Hashemabadi SH, Mirnajafizadeh SM. Analysis of viscoelastic fluid flow with temperature dependent properties in plane Couette flow and thin annuli. Applied Mathematical Modelling 2010; 34: 919-930. http://dx.doi.org/10.1016/j.apm.2009.07.001
Agrawal A, Prabhu SV. Deduction of slip coefficient in slip and transition regimes from existing cylindrical Couette flow data. Experimental Thermal and Fluid Science 2008; 32: 991-996. http://dx.doi.org/10.1016/j.expthermflusci.2007.11.010
Nachtshein PR and Swigert P. Satisfaction of the asymptotic boundary conditions numerical solution of the system of nonlinear equation of boundary layer type. NASA TND-3004 1965.
Mahmud S and Fraser RA. Flow, thermal and entropy generation characteristic inside a porous channel with viscous dissipation. Int J Therm Sci 2005; 44: 21-32. http://dx.doi.org/10.1016/j.ijthermalsci.2004.05.001