For fluid flow in pipes, friction is described by a dimensionless number, the Fanning friction factor (f). The Fanning friction factor is dependent on a number of parameters related to the size of the pipe and the fluid, which can all be represented by another dimensionless quantity, the Reynolds number (Re). A formula that predicts f given Re is the von Karman equation: 7= 4 log10 (Re/7) – 0.4 Typical values for the Reynolds number for turbulent flow are 10,000 to 500,000 and for the Fanning friction factor are 0.001 to 0.01. a) Develop a function that uses bisection to solve for f given a user-supplied value of Re between 2,500 and 1,000,000. b) Design the function so that it ensures that the absolute error in the result is less than 0.000005 c) What is the value (or closest value) of absolute error (unto 4 decimal points) after the 3rd iterations at

For fluid flow in pipes, friction is described by a dimensionless number, the Fanning friction factor (f). The Fanning friction factor is dependent on a number of parameters related to the size of the pipe and the fluid, which can all be represented by another dimensionless quantity, the Reynolds number (Re). A formula that predicts f given Re is the von Karman equation: 7= 4 log10 (Re/7) – 0.4 Typical values for the Reynolds number for turbulent flow are 10,000 to 500,000 and for the Fanning friction factor are 0.001 to 0.01. a) Develop a function that uses bisection to solve for f given a user-supplied value of Re between 2,500 and 1,000,000. b) Design the function so that it ensures that the absolute error in the result is less than 0.000005 c) What is the value (or closest value) of absolute error (unto 4 decimal points) after the 3rd iterations at

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter6: Fundamental Dimensions And Units

Section: Chapter Questions

Problem 22P

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