Affiliation:
1. University of Zielona Góra, Faculty of Mechanical Engineering ul. Szafrana 4, 65-516 Zielona Góra , Poland
Abstract
Abstract
In this paper, an analytical method for deriving the relationships between the pressure drop and the volumetric flow rate in laminar flow regimes of Newtonian and power-law fluids through symmetrically corrugated capillary fissures and tubes is presented. This method, which is general with regard to fluid and capillary shape, can also be used as a foundation for different fluids, fissures and tubes. It can also be a good base for numerical integration when analytical expressions are hard to obtain due to mathematical complexities. Five converging-diverging or diverging-converging geometrics, viz. wedge and cone, parabolic, hyperbolic, hyperbolic cosine and cosine curve, are used as examples to illustrate the application of this method. For the wedge and cone geometry the present results for the power-law fluid were compared with the results obtained by another method; this comparison indicates a good compatibility between both the results.
Subject
Fluid Flow and Transfer Processes,Transportation,Civil and Structural Engineering
Reference24 articles.
1. [1] Bird R.B., Steward W.F. and Lightfoot E.N. (1960): Transport Phenomena. - New York: Wiley.
2. [2] Lahbabi A. and Chang H.-C. (1986): Flow in periodically constricted tubes: transition to inertial and nonsteady flows. - Chem. Eng. Sci., vol.41, No.10, pp. 2487-2505.
3. [3] Burdette S.R., Coates P.J, Armstrong R.C. and Brown R.A. (1989): Calculations of viscoelastic flow through an axisymmetric corrugated tube using the explicity elliptic momentum equation formulation (EEME). - J. Non- Newtonian Fluid Mech., vol.33, No.1, pp.1-23.
4. [4] James D.F., Phan-Thien N., Khan M.M.K., Beris A.N. and Pilitsis S. (1990): Flow of test fluid M1 in corrugated tubes. - J. Non-Newtonian Fluid Mech., vol.35, No.2-3, pp.405-412.
5. [5] Momeni-Masuleh S.H. and Phillips T.N. (2004): Viscoelastic flow in an undulating tube using spectral methods. - Comput. Fluids, vol.33, No.8, pp.1075-1095.10.1016/j.compfluid.2003.09.002
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