scholarly journals Pressure Drop and Vortex Size of Power Law Fluids Flow in Branching Channels with Sudden Expansion

2018 ◽  
Vol 11 (6) ◽  
pp. 1739-1749 ◽  
Author(s):  
H. Ameur ◽  
2018 ◽  
Vol 23 (1) ◽  
pp. 187-211 ◽  
Author(s):  
A. Walicka

AbstractIn 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.


1989 ◽  
Vol 111 (2) ◽  
pp. 399-406 ◽  
Author(s):  
A. Lawal

An analytical investigation of three-dimensional mixed convection flow and heat transfer to power-law fluids in horizontal arbitrary cross-sectional ducts is undertaken. The continuity equation and parabolic forms of the energy and momentum equations in rectangular coordinates are transformed into new orthogonal coordinates with the boundaries of the duct coinciding with the coordinate surfaces. The transformed equations are solved by the finite difference technique. The fluid enters the duct with constant velocity and temperature profiles with the wall of the duct subjected to constant temperature. Local heat transfer coefficients and pressure drop for several values of Gr/Re and power-law index n are computed for the triangular, square, trapezoidal, pentagonal, and circular ducts. The buoyancy force is found to increase both the Nusselt number and the pressure drop.


2013 ◽  
Vol 198 ◽  
pp. 48-58 ◽  
Author(s):  
S. Dhinakaran ◽  
M.S.N. Oliveira ◽  
F.T. Pinho ◽  
M.A. Alves

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