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Effect of variable viscosity and viscous dissipation on the Hagen‐Poiseuille flow and entropy generation
Author(s) -
Ganji D. D.,
Ashory Nezhad H. R.,
Hasanpour A.
Publication year - 2011
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20536
Subject(s) - hagen–poiseuille equation , entropy (arrow of time) , brinkman number , mechanics , thermodynamics , dissipation , mathematics , dissipative system , viscosity , homotopy perturbation method , flow (mathematics) , physics , homotopy , nusselt number , reynolds number , turbulence , pure mathematics
In this article, the steady‐state flow of a Hagen‐Poiseuille modelin a circular pipe is considered and entropy generation due tofluid friction and heat transfer is examined. Because of variationin fluid viscosity, the entropy generation in the flow varies. Inhis model, Arrhenius law is applied for temperature equation‐dependent viscosity, and the influence of viscosity parameters on the entropy generation number and distribution of temperature and velocity is investigated. The governing momentum and energy equations, which are coupled due to the dissipative term in the energy equation, were solved by analytical techniques. The solutions of equations via perturbation method and homotopy perturbation method are obtained and then compared with those of numerical solutions. It is found that the fluid viscosity influences considerably the temperature distribution in the fluid close to the pipe wall, and increasing pipe wall temperature enhances the rate of entropy generation. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 529–540, 2011