Analysis of Entropy Generation in Annular Porous Duct

详细信息    查看全文

• 作者：Shyam Lal Yadav ; A. K. Singh
• 关键词：Modified Bessel function ; Heat flux ; Fully developed flow ; Viscosity ratio ; Entropy generation ; Irreversibility ratio
• 刊名：Transport in Porous Media
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：111
• 期：2
• 页码：425-440
• 全文大小：1,467 KB
• 参考文献：Adler, P.M., Mills, P.M.: Motion and rupture of a porous sphere in a linear flow field. J. Rheol. 23, 25–37 (1979)CrossRef
  Bejan, A.: Convection Heat Transfer, 4th edn. Wiley, New York (2013)CrossRef
  Bejan, A.: Second law analysis in heat transfer and thermal design. Adv. Heat Transf. 15, 1–58 (1982)CrossRef
  Breugem, W.P.: The effective viscosity of channel-type porous medium. Phys. Fluids 19, 1–16 (2007). doi:10.​1063/​1.​2792323 CrossRef
  Brinkman, H.C.: On the permeability of media consisting of closely packed porous particles. Appl. Sci. Res. A1, 81–86 (1947)
  Demirel, Y., Kahraman, R.: Thermodynamic analysis of convective heat transfer in an annular packed bed. Int. J. Heat Fluid Flow 21, 442–448 (2000)CrossRef
  Jha, B.K.: Free-convection flow through an annular porous medium. Heat Mass Transf. 41, 675–679 (2005)CrossRef
  Kamish, F.: Analysis of laminar flow and forced convection heat transfer in a porous medium. Transp. Porous Media 80, 345–371 (2009)CrossRef
  Kim, S., Russell, W.B.: Modelling in porous media by renormalization of Stokes equations. J. Fluid Mech. 154, 269–286 (1985)CrossRef
  Kolodziej, J.A.: Influence of the porosity of a porous medium on the effective viscosity in Brinkman’s filtration equation. Acta Mech. 75, 241–254 (1988)CrossRef
  Koplik, J., Levine, H., Zee, A.: Viscosity renormalization in the Brinkman equation. Phys. Fluids 26, 2864–2870 (1983)CrossRef
  Kuznotsov, A.V., Xiong, M., Nield, D.A.: Thermally developing forced convection in a porous medium: circular duct with walls at constant temperature, with longitudinal conduction and viscous dissipation effects. Transp. Porous Media 53, 331–345 (2003)CrossRef
  Lundgren, T.S.: Slow flow through stationary random beds and suspensions of spheres. J. Fluid Mech. 51, 273–299 (1972)CrossRef
  Mahmud, S., Fraser, R.A.: The second law analysis in fundamental convective heat transfer problems. Int. J. Therm. Sci. 42, 177–186 (2003)CrossRef
  Makinde, O.D., Osalusi, E.: Second law analysis of laminar flow in a channel field with saturated porous media. Entropy 7, 148–16 (2005)CrossRef
  Mohammad, A.A.: Heat transfer enhancement in heat exchanger fitted with porous media. Part I: constant wall temperature. Int. J. Therm. Sci. 42, 385–395 (2003)CrossRef
  Narusawa, U.: The second law analysis of mixed convection in rectangular ducts. Heat Mass Transf. 37, 197–203 (2001)CrossRef
  Nield, D.A., Bejan, A.: Convection in Porous Media. Springer, New York (2013)CrossRef
  Peng, Y.Z.: The variable separation method and exact Jacobi elliptic function solutions for the Nizhnik–Novikov–Veselov equation. Acta Phys. Pol. A 110, 3–9 (2006)
  Polyanin, A.D., Zhurov, A.I., Vyazmin, A.V.: Generalized separation of variables in nonlinear heat and mass transfer equations. J. Non-Equilib. Thermodyn. 5, 251–267 (2000)
  Polyanin, A.D.: Handbook of Partial Differential Equations for Engineers and Scientists. CRC Press, Boca Raton (2001)CrossRef
  Rott, N.: Thermoacoustics. Adv. Appl. Mech. 20, 135–175 (1980)CrossRef
  Sahin, A.Z.: A second law comparison for optimum shape of duct subjected to constant wall temperature and laminar flow. Heat Mass Transf. 33, 425–430 (1998)CrossRef
  Sauoli, S., Aiboud-Sauoli, S.: Second law analysis of laminar falling liquid film along an inclined heated plate. Int. Commun. Heat Mass Transf. 31, 879–886 (2004)CrossRef
  Singh, A.K., Thorpe, G.R.: Natural convection in a confined fluid overlying a porous layer—a comparison study of different models. Indian J. Pure Appl. Math. 26, 81–95 (1995)
  Song, L.L., Shang, Y.D.: Variable separation and exact solutions for the Kadomtsev–Petviashvili equation. Adv. Pure Math. 5, 121–126 (2015)CrossRef
  Swift, G.W.: Thermoacoustics: A Unifying Perspective for Some Engines and Refrigerators. ASA Publication, New York (2002)
  Umavathi, J.C., Chamkha, A.J., Sridhar, K.S.R.: Generalized plain Couette flow and heat transfer in a composite channel. Transp. Porous Media 85, 157–169 (2010)CrossRef
  Yadav, S.L., Singh, A.K.: Effects of viscous and Darcy dissipations on entropy generation rate of flow through a horizontal porous channel. Int. J. Energy Technol. 6(17), 1–7 (2014)
  
• 作者单位：Shyam Lal Yadav (1)
  A. K. Singh (1)
  
  1. Department of Mathematics, Banaras Hindu University, Varanasi, 221005, India
  
• 刊物类别：Earth and Environmental Science
• 刊物主题：Earth sciences
  Geotechnical Engineering
  Industrial Chemistry and Chemical Engineering
  Civil Engineering
  Hydrogeology
  Mechanics, Fluids and Thermodynamics
  
• 出版者：Springer Netherlands
• ISSN：1573-1634

文摘

This paper presents an analytical solution of the velocity and temperature fields in terms of the modified Bessel functions by including the viscous as well as the Darcy dissipations of a fully developed viscous and incompressible fluid, flowing between horizontal concentric annular ducts filled with a saturated porous medium. Both the circular boundaries are assumed to have constant heat fluxes. Using the obtained expressions of the velocity and temperature fields, the entropy generation rate and irreversibility ratio have been also obtained. The effects of the Brinkman number, Darcy number, Péclet number and viscosity ratio parameter on the temperature and entropy generation rate are given by using the graphs and tables. The numerical computation of the analytical solution shows that the heat flux applied at the outer cylindrical surface is more effective in comparison with the inner cylindrical surface on the temperature, entropy generation rate and irreversibility ratio. Keywords Modified Bessel function Heat flux Fully developed flow Viscosity ratio Entropy generation Irreversibility ratio