A MODEL AND CALCULATION PROCEDURE FOR THE FRICTION AND HEAT TRANSFER BEHAVIOUR OF DILUTE POLYMER SOLUTIONS IN TURBULENT PIPE FLOW

1972 ◽  
pp. 275-284 ◽  
Author(s):  
D.B. SPALDING
Keyword(s):  
Heat Transfer ◽  
Pipe Flow ◽  
Polymer Solutions ◽  
Turbulent Pipe Flow ◽  
Calculation Procedure ◽  
Dilute Polymer Solutions

scholarly journals TURBULENT PIPE FLOW OF DILUTE POLYMER SOLUTIONS

1974 ◽  
Vol 7 (3) ◽  
pp. 162-167 ◽  
Author(s):  
TOKURO MIZUSHINA ◽  
HIROMOTO USUI ◽  
TAICHI TOSHIBA
Keyword(s):  
Pipe Flow ◽  
Polymer Solutions ◽  
Turbulent Pipe Flow ◽  
Dilute Polymer Solutions

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.

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