Laminar Flow for a Newtonian Thermodependent Fluid in an Eccentric Horizontal Annulus

  • A. HorimekEmail author
  • N. Ait Messaoudene


This work focused on the numerical study of forced convection, for a thermodependent Newtonian fluid in an eccentric horizontal annular duct. The inner and outer cylinders were heated with constant heat flux. The governing equations were solved numerically by a finite difference method with implicit scheme. The dynamic profile was assumed to be fully developed while the temperature profile was assumed uniform at the entrance. The aim of this work was to present the effects of eccentricity on the dynamic and thermal fields along the duct. The thermodependency effect of the fluid was also examined, and some interesting results regarding the reduction of the dynamic blocking phenomenon of the flow in the narrow part of the duct for large eccentricities were presented. These results reduce the strictness of precautions for neglecting axial diffusion when making computations in such geometries.


Forced convection Eccentricity Thermodependency 


  1. Feldman EE, Hornbeck RW, Osterle JF (1982a) A numerical solution of laminar developing flow in eccentric annular ducts. Int J Heat Mass Transf 25:23–241zbMATHGoogle Scholar
  2. Feldman EE, Hornbeck RW, Osterle JF (1982b) A numerical solution of developing temperature for laminar developing flow in eccentric annular ducts. Int J Heat Mass Transf 25:243–253CrossRefzbMATHGoogle Scholar
  3. Fang P, Manglik RM, Jog MA (1999) Characteristics of laminar viscous shear-thinning fluid flows in eccentric annular channels. J Non-Newt Fluid Mech 84:1–17CrossRefzbMATHGoogle Scholar
  4. Manglik RM, Fang P (1995) Effect of eccentricity and thermal boundary conditions on laminar fully developed flow in annular ducts. Int J Heat Fluid Flow 16:298–306CrossRefGoogle Scholar
  5. Manglik RM, Fang P (2002) Thermal processing of viscous non-Newtonian fluids in annular ducts: effects of power-law rheology, duct eccentricity, and thermal boundary conditions. Int J Heat Mass Transf 45:803–814CrossRefzbMATHGoogle Scholar
  6. Messaoudene AN, Horimek A, Nouar C, Benaouda-Zouaoui B (2011) Laminar mixed convection in an eccentric annular horizontal duct for a thermodependent non-Newtonian fluid. Int J Heat Mass Transf 54:4220–4234CrossRefzbMATHGoogle Scholar
  7. Nouar C (2005) Thermal convection for a thermo-dependent yield stress fluid in an axisymmetric horizontal duct. Int J Heat Mass Transf 48:5520–5535CrossRefzbMATHGoogle Scholar
  8. Oosthuizen PH, Naylor D (1999) An introduction to convective heat transfer. Wcb/McGraw-Hill, USAzbMATHGoogle Scholar

Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Laboratoire de Développement en Mécanique et Matériaux, Mechanical Engineering DepartmentZiane Achour UniversityDjelfaAlgeria
  2. 2.Department of Mechanical Engineering, Faculty of EngineeringUniversity of HailHailSaudi Arabia
  3. 3.Laboratoire des Applications énergétiques de L’Hydrogène (LApEH)University Blida1BlidaAlgeria

Personalised recommendations