Predictions of flow behaviors and entrance pressure drop characteristics of a rubber compound in a capillary die using various rheological models

2013 ◽  
Vol 54 (10) ◽  
pp. 2441-2448 ◽  
Author(s):  
J.H. Kim ◽  
M.Y Lyu
Keyword(s):  
Pressure Drop ◽  
Rubber Compound ◽  
Rheological Models ◽  
Entrance Pressure

Extensional viscosity from entrance pressure drop measurements

1997 ◽  
Vol 36 (2) ◽  
pp. 144-151 ◽  
Author(s):  
Mahesh Padmanabhan ◽  
Christopher W. Macosko ◽  
M. Padmanabhan
Keyword(s):  
Pressure Drop ◽  
Extensional Viscosity ◽  
Entrance Pressure

An annular rotating-die technique in extrusion process: effect of mandrel rotating speed on entrance pressure drop and flow properties of molten HDPE

2014 ◽  
Vol 18 (2) ◽  
pp. 241-251 ◽  
Author(s):  
Naret Intawong ◽  
Alongkot Darajang ◽  
Sittichai Udomsom ◽  
Thitipong Yoochooshai ◽  
Chatchawan Kantala
Keyword(s):  
Pressure Drop ◽  
Extrusion Process ◽  
Flow Properties ◽  
Rotating Speed ◽  
Entrance Pressure

Effect of different rheological models on prediction of tri-cone bit pressure drop

2018 ◽  
Vol 18 (3/4) ◽  
pp. 305
Author(s):  
Seyed Saied Bahrainian ◽  
Amin Nabati ◽  
Ebrahim Hajidavalloo
Keyword(s):  
Pressure Drop ◽  
Rheological Models

Effect of different rheological models on prediction of tri-cone bit pressure drop

2018 ◽  
Vol 18 (3/4) ◽  
pp. 305
Author(s):  
Ebrahim Hajidavalloo ◽  
Seyed Saied Bahrainian ◽  
Amin Nabati
Keyword(s):  
Pressure Drop ◽  
Rheological Models

On the Influence of the Entrance Section on the Rotordynamic Performance of a Pump Seal With Uniform Clearance: A Sharp Edge vs. a Round Inlet

2018 ◽  
Author(s):  
Jing Yang ◽  
Luis San Andres
Keyword(s):  
Pressure Drop ◽  
Pressure Loss ◽  
Loss Coefficient ◽  
Operating Conditions ◽  
Sharp Edge ◽  
Inlet Section ◽  
Force Coefficients ◽  
Pressure Loss Coefficient ◽  
Entrance Pressure ◽  
Entrance Pressure Loss

Secondary flows thru annular seals in pumps must be minimized to improve their mechanical efficiency. Annular seals, in particular balance piston seals, also produce rotordynamic force coefficients which easily control the placement of rotor critical speeds and determine system stability. A uniform clearance annular seal produces a direct (centering) static stiffness as a result of the sudden entrance pressure drop at its inlet plane when the fluid flow accelerates from an upstream (stagnant) flow region into a narrow film land. This so called Lomakin effect equates the entrance pressure drop to the dynamic flow head through an empirical entrance pressure loss coefficient. Most seal designs regard the inlet as a sharp edge or square corner. In actuality, a customary manufacturing process could produce a rounded corner at the seal inlet. Furthermore, after a long period of operation, a sharp corner may wear out into a round section. Notice that to this date, bulk flow model (BFM) analyses rely on a hitherto unknown entrance pressure coefficient to deliver accurate predictions for seal force coefficients. This paper establishes the ground to quantify the influence of an inlet round corner on the performance of a water lubricated seal reproducing a configuration tested by Marquette et al. (1997). The smooth surface seal has clearance Cr = 0.11 mm, length L = 35 mm, and diameter D = 76 mm (L/D = 0.46). The test case considers design operation at 10.2 krpm and 6.9 MPa pressure drop. Computational fluid dynamics (CFD) simulations apply to a seal with either a sharp edge or an inlet section with curvature rc varying from ¼Cr to 5Cr. Note the largest radius (rc) is just 1.6% of the overall seal length L. Going from a sharp edge inlet plane to one with a small curvature rc = ¼Cr produces a ∼20% decrease on the inlet pressure loss coefficient (ξ). A further reduction occurs with a larger circular corner; ξ drops from 0.43 to 0.17. That is, the entrance pressure loss will be lesser in a seal with a curved inlet. This can occur easily if the inlet edge wears due to solid particles eroding the seal inlet section. Further CFD simulations show that operating conditions in rotor speed and pressure drop do not affect the inlet loss coefficient, while the inlet circumferential swirl velocity does. In addition, further CFD results for a shorter (half) length seal produce a very similar entrance loss coefficient, whereas an enlarged (double) clearance seal leads to an increase in the entrance pressure loss parameter as the inlet section becomes less round. CFD predictions for most rotordynamic coefficients are within 10% relative to published test data, except for the direct damping coefficient C. For the seal with a rounded edge (rc = 5 Cr) at the inlet plane, both the direct stiffness K and direct damping C decrease about 10% compared against the coefficients for the seal with a sharp inlet edge. The other force coefficients, namely cross-coupled stiffness and added mass, are unaffected by the inlet edge geometry. The same result holds for seal leakage, as expected. A BFM incorporates the CFD derived entrance pressure loss coefficients and produces rotordynamic coefficients for the same operating conditions. The CFD and BFM predictions are in good agreement, though there is still ∼10% discrepancy for the direct stiffnesses delivered by the two methods. In the end, the analysis of the CFD results quantifies the pressure loss coefficient as a function of the inlet geometry for ready use in engineering BFM tools.

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