scholarly journals Derivation of the Flow Rate Equation of Granular Materials from a Hopper and the Comparison of it with Previous Empirical Equations

1967 ◽  
Vol 31 (7) ◽  
pp. 718-719,a1
Author(s):  
Kunio Shinohara ◽  
Yasuo Demitsu ◽  
Tatsuo Tanaka
Keyword(s):  
Granular Materials ◽  
Flow Rate ◽  
Rate Equation ◽  
Empirical Equations

scholarly journals Experimental Investigation of a Rectangular Airlift Pump

2010 ◽  
Vol 2010 ◽  
pp. 1-5 ◽  
Author(s):  
I. I. Esen
Keyword(s):  
Experimental Investigation ◽  
Cross Section ◽  
Flow Rate ◽  
Liquid Flow ◽  
Liquid Flow Rate ◽  
Rectangular Cross Section ◽  
Hydraulic Performance ◽  
Experimental Program ◽  
Empirical Equations ◽  
Airlift Pump

Hydraulic performance of an airlift pump having a rectangular cross-section 20 mm × 80 mm was investigated through an experimental program. The pump was operated at six different submergence ratios and the liquid flow rate was measured at various flowrates of air injected. The effectiveness of the pump, defined as the ratio of the mass of liquid pumped to the mass of air injected, was determined as a function of the mass of air injected for different submergence ratios. Results obtained were compared with those for circular airlift pumps using an analytical model for circular pumps. Effectiveness of the rectangular airlift pump was observed to be comparable to that of the circular pumps. Hydraulic performance of the rectangular airlift pump investigated was then described by a set of semilogarithmic empirical equations.

Design and Testing of a Linear-Driven Electro-Hydrostatic Actuator

2019 ◽  
Vol 141 (12) ◽  
Author(s):  
Zimeng Wang ◽  
Zongxia Jiao ◽  
Xinglu Li
Keyword(s):  
Flow Rate ◽  
Rate Equation ◽  
High Frequency ◽  
Reciprocating Motion ◽  
Series Of Experiments ◽  
Spool Valves ◽  
Design And Testing

Abstract This paper presents a novel hydrostatic actuator, which is named as linear-driven electro-hydrostatic actuator (LEHA). In an LEHA, the actuator is driven by a novel collaborative rectification pump (CRP), which incorporates two miniature cylinders and two spool valves. Specifically, the CRP is driven by two linear oscillating motors, which are designed and optimized to generate reciprocating motion at high frequency with adequate stroke. CRP offers a highly novel linear fluid pump with flexibility in bi-directionally driving. In this paper, schematic of LEHA is first presented and its kinematic flow rate equation is derived. Then the design of CRP, linear oscillating motor, as well as the whole LEHA prototype is introduced. Performance of the LEHA is demonstrated through a series of experiments and simulation, and analysis of the results is also included.

Optimization of Granular Chute Flow with Two Bottlenecks

2014 ◽  
Vol 487 ◽  
pp. 532-535 ◽  
Author(s):  
Qi Yi Liu ◽  
Guo Cheng Yang ◽  
Mao Bin Hu ◽  
Rui Jiang ◽  
Qing Song Wu ◽  
...  
Keyword(s):  
Flow Pattern ◽  
Granular Materials ◽  
Flow Rate ◽  
Transition Point ◽  
Flow Transition ◽  
Chute Flow ◽  
Dense Flow ◽  
Bistable Phenomenon ◽  
Industrial Mining ◽  
Pharmaceutical Processes

Granular materials are ubiquitous in industrial, mining and pharmaceutical processes. In this paper, we study the flow pattern and optimization of granular chute flow with two bottlenecks. The dependence of flux on channel width show dilute to dense flow transition. A remarkable bistable phenomenon appears near the transition point. Base on this discovery, one can optimize the flow rate along such channels.

A flow rate equation for subsonic Fanno flow

2013 ◽  
Vol 227 (12) ◽  
pp. 2724-2729 ◽  
Author(s):  
Eizo Urata
Keyword(s):  
Mass Flow Rate ◽  
Mass Flow ◽  
Flow Rate ◽  
Rate Equation ◽  
Degrees Of Freedom ◽  
Relative Difference ◽  
State Variables ◽  
Mass Flow Rates ◽  
Proper Values ◽  
The Given

The aim of this note is to obtain a flow rate equation for subsonic Fanno flow, which has a form similar to the flow rate equation for isothermal flow. When pipe dimensions and the proper values of pressures and temperatures at two sections along a pipe, namely P1, P2, T1 and T2 are given, the mass flow rate is obtained by simple substitution into the obtained formula. However, only three of the above four quantities are independently given, since the steady Fanno flow problem involves three first-order differential equations. Therefore, the problem has three degrees of freedom. The theory in this note shows an algebraic equation that determines the fourth quantity by using the given three quantities. The method for finding the mass flow rate and state variables of the gas in the pipe are substantially simplified compared with the commonly distributed method. The relative difference of mass flow rates between the subsonic Fanno and isothermal flows is smaller than 1% in practical combinations of P2 /P1 and the pipe-friction parameter fL/D.

scholarly journals Gravity Flow of Granular Materials in Conical Hoppers

1979 ◽  
Vol 46 (3) ◽  
pp. 529-535 ◽  
Author(s):  
T. V. Nguyen ◽  
C. Brennen ◽  
R. H. Sabersky
Keyword(s):  
Experimental Data ◽  
Approximate Solution ◽  
Granular Material ◽  
Granular Materials ◽  
Flow Rate ◽  
Yield Condition ◽  
Wall Stress ◽  
Perfectly Plastic ◽  
Analytical Expressions ◽  
Conical Hopper

An approximate solution to the flow of a cohesionless granular material in a conical hopper is presented. The material is modeled as a perfectly plastic continuum which satisfies the Mohr-Coulomb yield condition. Analytical expressions of the mass flow rate and the wall stress are derived and compared to some experimental data and other analyses.

scholarly journals The flow rate of granular materials through an orifice

2008 ◽  
Vol 10 (6) ◽  
pp. 469-469 ◽  
Author(s):  
C. Mankoc ◽  
A. Janda ◽  
R. Arévalo ◽  
J. M. Pastor ◽  
I. Zuriguel ◽  
...  
Keyword(s):  
Granular Materials ◽  
Flow Rate
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