For all the following problems, a) You need to show at least 3 iterations calculated manually with all steps. b) You do not need to include the M.files for the bisection method (bisect.m) and for false position (falspos.m). You must, however, show the command lines for the given functions with their variables and other parameters. 5. Fanning friction factor 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: 1 √f = = 4log10 (Re√√) - 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 500 and 1,000,000. (b) Design the function so that it ensures that the absolute error in the result is &a,d <0.000005.

For all the following problems, a) You need to show at least 3 iterations calculated manually with all steps. b) You do not need to include the M.files for the bisection method (bisect.m) and for false position (falspos.m). You must, however, show the command lines for the given functions with their variables and other parameters. 5. Fanning friction factor 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: 1 √f = = 4log10 (Re√√) - 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 500 and 1,000,000. (b) Design the function so that it ensures that the absolute error in the result is &a,d <0.000005.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

100%

For all the following problems,
5.
a)
b)
You need to show at least 3 iterations calculated manually with all steps.
You do not need to include the M.files for the bisection method (bisect.m) and for false position (falspos.m). You
must, however, show the command lines for the given functions with their variables and other parameters.
Fanning friction factor
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 ƒ given Re is the von Karman equation:
4log₁0 (Re√) - 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 fgiven a user-supplied value of Re between
500 and 1,000,000.
(b) Design the function so that it ensures that the absolute error in the result is &a,d<0.000005.

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