scholarly journals Determination of Transmission Coefficient for the Filtration Deposit Made of Coal Grains

2015 ◽  
Vol 31 (4) ◽  
pp. 151-160
Author(s):  
Tadeusz Piecuch ◽  
Jacek Piekarski ◽  
Łukasz Gajewski

Abstract The study presents the method of determining constant coefficient b2, occurring in general filtration equation (1), in the second part of the denominator, that is in the expression for deposit resistance In the considerations, lack of the deposit’s compressibility was assumed, which means that the deposit porosity is constant. With such an assumption, constant coefficient b2 is equivalent with transmission coefficient, which occurs in commonly known and accepted equation – as the baseline equation – for fluid flow through a porous layer according to Darcy (Piecuch 2009, 2010). This study is another publication in the cycle of basic tests of the filtration process which constitute next publications of the authors, published in Rocznik Ochrona Środowiska [Annual Set the Environmental Protection] as well as in the magazine Gospodarka Surowcami Mineralnymi [Mineral Resources Management], to which the reader interested in these problems can refer. Another study will be the publication discussing the filtration process with the creation of sediment on the filtration deposit, hence in the general filtration equation (1) the value of sediment resistance RO will appear in the denominator. Relevant cycle of publications will study the possibilities of use of gravitational deposit filters in which the porous deposit will be the set of coal grains, while the fed mixture will also be the post-production suspension of coal grains.

2017 ◽  
Author(s):  
Dejan Brkić

The empirical Colebrook–White (CW) equation belongs to the group of transcendental functions. The CW function is used for the determination of hydraulic resistances associated with fluid flow through pipes, flow of rivers, etc. Since the CW equation is implicit in fluid flow friction factor, it has to be approximately solved using iterative procedure or using some of the approximate explicit formulas developed by many authors. Alternate mathematical equivalents to the original expression of the CW equation, but now in the explicit form developed using the Lambert W-function, are shown (with related solutions). The W-function is also transcendental, but it is used more general compared with the CW function. Hence, the solution to the W-function developed by mathematicians can be used effectively for the CW function which is of interest only for hydraulics.


2016 ◽  
Vol 19 (5) ◽  
pp. 391-404 ◽  
Author(s):  
B. M. Shankar ◽  
I. S. Shivakumara ◽  
Chiu-On Ng

2014 ◽  
Vol 17 (11) ◽  
pp. 1019-1029 ◽  
Author(s):  
Mohammad Zafari ◽  
Masoud Panjepour ◽  
Mohsen Davazdah Emami ◽  
Mahmood Meratian

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