Approximate calculation of Crofton formula

The paper presents a modification of the equations of Rabinowitsch-Mooney type for an approximate calculation of pressure drop in laminar flow of generalized Newtonian liquid through a straight channel whose cross section forms a simple continuous area. The suitability of the suggested procedure of calculation of pressure drop is demonstrated by the comparison of calculation results with both the published and original results of numerical solution and experiments.

Download Full-text

The approach of a vortex pair to a plane surface in inviscid fluid

Journal of Fluid Mechanics ◽

10.1017/s0022112079000744 ◽

1979 ◽

Vol 92 (3) ◽

pp. 497-503 ◽

Cited By ~ 55

Author(s):

P. G. Saffman

Keyword(s):

Approximate Calculation ◽

Plane Surface ◽

Vortex Pair ◽

Plane Wall ◽

Inviscid Fluid ◽

Viscous Effects ◽

Axis Ratio ◽

Local Rate

It is shown that a symmetrical vortex pair consisting of equal and opposite vortices approaching a plane wall at right angles must approach the wall monotonically in the absence of viscous effects. An approximate calculation is carried out for uniform vortices in which the vortices are assumed to be deformed into ellipses whose axis ratio is determined by the local rate of strain according to the results of Moore & Saffman (1971).

Download Full-text

Multi-Location Inventory Model Considering Bidirectional and Unidirectional Transshipments Simultaneously

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.694-697.2742 ◽

2013 ◽

Vol 694-697 ◽

pp. 2742-2745

Author(s):

Jin Hong Zhong ◽

Yun Zhou

Keyword(s):

Process Model ◽

Approximate Calculation ◽

Inventory Model ◽

Inventory System ◽

Death Process ◽

Birth And Death Process ◽

Inventory Models ◽

Continuous Review ◽

Poisson Demand ◽

Queue Theory

Abstract. A cross-regional multi-site inventory system with independent Poisson demand and continuous review (S-1,S) policy, in which there is bidirectional transshipment between the locations at the same area, and unidirectional transshipment between the locations at the different area. According to the M/G/S/S queue theory, birth and death process model and approximate calculation policy, we established inventory models respectively for the loss sales case and backorder case, and designed corresponding procedures to solve them. Finally, we verify the effectiveness of proposed models and methods by means of a lot of contrast experiments.

Download Full-text