An accelerated successive substitution method for single stage flash calculations

1988 ◽  
Vol 66 (2) ◽  
pp. 291-296 ◽  
Author(s):  
Anup K. Gupta ◽  
P. R. Bishnoi ◽  
N. Kalogerakis
Keyword(s):  
Single Stage ◽  
Substitution Method ◽  
Successive Substitution

scholarly journals SOLUTIONS IN EXPLICIT FORM FOR DETERMINING THE HYDRAULIC RESISTANCE COEFFICIENT FOR TURBULENT FLOW

2019 ◽  
Vol 9 (4) ◽  
pp. 39-46
Author(s):  
Maxim Nikolaevich NIKITIN ◽  
Tatyana Sergeevna SOLOVYOVA ◽  
Olga Vladimirovna SHLYAHTINA
Keyword(s):  
Comparative Analysis ◽  
Computational Complexity ◽  
Turbulent Flow ◽  
Iterative Solution ◽  
Resistance Coefficient ◽  
Explicit Solutions ◽  
Substitution Method ◽  
Relative Roughness ◽  
Acceptable Accuracy ◽  
Successive Substitution

A comparative analysis of explicit solutions of the Colebrook-White equation is carried out. The median values of relative deviations, coefficients of determination and computational complexities for each approximation were obtained. The results of the iterative solution of the Colebrook-White equation by successive substitution method were used as the intrinsic solution. Approximations by B. Eck and A.R. Vatankhah were identified as the most effective in terms of computational complexity. It was shown that widely used approximations by P.R.H. Blasius, A.D. Altshul and J. Nikuradze although simple, provide acceptable accuracy only within restricted ranges of Reynolds and relative roughness.

scholarly journals Monte Carlo method with control variate for integral equations

2018 ◽  
Vol 22 (4) ◽  
pp. 1765-1771
Author(s):  
Yi Tian
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Integral Equations ◽  
Solution Process ◽  
Fredholm Integral Equations ◽  
Substitution Method ◽  
Control Variate ◽  
Successive Substitution

This paper combines the successive substitution method and Monte Carlo method with a control variate to solve Fredholm integral equations of the second kind. Some examples are gives to elucidate the solution process and the results reveal the efficiency of the method.

scholarly journals Hybrid Newton–Successive Substitution Method for Multiphase Rachford-Rice Equations

Entropy ◽  
2018 ◽  
Vol 20 (6) ◽  
pp. 452
Author(s):  
Ran Gao ◽  
Xiaolong Yin ◽  
Zhiping Li
Keyword(s):  
Substitution Method ◽  
Successive Substitution

33: Synchronous Urethral Strictures: Prevalence and 10-Year Experience with Single Stage Reconstruction Via Systematic Retrograde Surgical Approach

2007 ◽  
Vol 177 (4S) ◽  
pp. 12-12
Author(s):  
L. Andrew Evans ◽  
Benjamin Moses ◽  
Kevin Rice ◽  
Craig Robson ◽  
Allen F. Morey
Keyword(s):  
Surgical Approach ◽  
Single Stage ◽  
Urethral Strictures
Sign in / Sign up

Export Citation Format

Share Document