scholarly journals Using maximum entropy to develop explicit formulae for friction factor calculation in pipe flow

2011 ◽  
Author(s):  
V. E. M. G. Diniz ◽  
P. A. Souza ◽  
A. G. Moraes
Keyword(s):  
Friction Factor ◽  
Maximum Entropy ◽  
Pipe Flow ◽  
Explicit Formulae

Heat Transfer in Turbulent Pipe Flow for Liquids Having a Temperature-Dependent Viscosity

1978 ◽  
Vol 100 (2) ◽  
pp. 224-229 ◽  
Author(s):  
O. T. Hanna ◽  
O. C. Sandall
Keyword(s):  
Heat Transfer ◽  
Friction Factor ◽  
Pipe Flow ◽  
Turbulent Pipe Flow ◽  
Fluid Viscosity ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Analytical Approximations ◽  
Constant Viscosity ◽  
Dependent Viscosity

Analytical approximations are developed to predict the effect of a temperature-dependent viscosity on convective heat transfer through liquids in fully developed turbulent pipe flow. The analysis expresses the heat transfer coefficient ratio for variable to constant viscosity in terms of the friction factor ratio for variable to constant viscosity, Tw, Tb, and a fluid viscosity-temperature parameter β. The results are independent of any particular eddy diffusivity distribution. The formulas developed here represent an analytical approximation to the model developed by Goldmann. These approximations are in good agreement with numerical solutions of the model nonlinear differential equation. To compare the results of these calculations with experimental data, a knowledge of the effect of variable viscosity on the friction factor is required. When available correlations for the friction factor are used, the results given here are seen to agree well with experimental heat transfer coefficients over a considerable range of μw/μb.

A Review of Explicit Friction Factor Equations

1985 ◽  
Vol 107 (2) ◽  
pp. 280-283 ◽  
Author(s):  
D. J. Zigrang ◽  
N. D. Sylvester
Keyword(s):  
Friction Factor ◽  
Pipe Flow ◽  
Turbulent Pipe Flow ◽  
Explicit Equation ◽  
Flow Friction ◽  
Friction Factors ◽  
High Degree ◽  
Very High

A review of the explicit friction factor equations developed to replace the Colebrook equation is presented. Explicit friction factor equations are developed which yield a very high degree of precision compared to the Colebrook equation. A new explicit equation, which offers a reasonable compromise between complexity and accuracy, is presented and recommended for the calculation of all turbulent pipe flow friction factors for all roughness ratios and Reynold’s numbers.

scholarly journals Correspondence between power number of mixing vessel and friction factor of pipe flow turbulent region.

1990 ◽  
Vol 16 (2) ◽  
pp. 317-321
Author(s):  
Yuji Sano ◽  
Hiromoto Usui ◽  
Hideo Sakata
Keyword(s):  
Friction Factor ◽  
Pipe Flow ◽  
Power Number ◽  
Turbulent Region

An Alternative (Preferable) Friction Factor

2006 ◽  
Author(s):  
Richard A. Gaggioli
Keyword(s):  
Reynolds Number ◽  
Friction Factor ◽  
Pipe Flow ◽  
Incompressible Flows ◽  
Flow Regimes ◽  
Relative Roughness ◽  
Curve Fit ◽  
Moody Diagram ◽  
Approximate Formulas

An alternative to the traditional friction factor for pipe flow is presented (φ = [R]f). For incompressible flows, the correlation of this new friction factor with Reynolds Number [R] and Relative Roughness [ε] is presented graphically, and appears much simpler and more intuitive than the Moody Diagram (or other equivalents). Moreover, relatively simple curve-fit formulas for representing φ explicitly as a function of R and ε are presented for various flow regimes, along with measures of error associated with these approximate formulas.

Reduced-Parameter Method for Maximum Entropy Analysis of Hydraulic Pipe Flow Networks

2018 ◽  
Vol 144 (2) ◽  
pp. 04017060 ◽  
Author(s):  
S. H. Waldrip ◽  
R. K. Niven ◽  
M. Abel ◽  
M. Schlegel
Keyword(s):  
Maximum Entropy ◽  
Pipe Flow ◽  
Parameter Method ◽  
Entropy Analysis ◽  
Flow Networks

EVALUATION OF ALTERNATIVE FRICTION FACTOR EQUATIONS FOR PIPE FLOW ANALYSIS

2017 ◽  
Author(s):  
Kim Rocha Gama ◽  
Ricardo Albuquerque Fernandes ◽  
Diogo Tenório Cintra ◽  
Adeildo Soares Ramos Júnior ◽  
Eduardo Setton Sampaio da Silveira
Keyword(s):  
Friction Factor ◽  
Pipe Flow ◽  
Flow Analysis
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