My Math Forum circle approximation

 Calculus Calculus Math Forum

 February 1st, 2016, 04:25 AM #1 Newbie   Joined: Feb 2016 From: israel Posts: 17 Thanks: 3 circle approximation Hi guys, I am trying to apply the Mangler's transformation (fluid dynamics) onto a sphere. In order to do so, I need a single variable function r(x) to approximate a circle. Do you know of any simple method? Accuracy is not an issue. Regards, shai Last edited by skipjack; February 1st, 2016 at 04:31 AM.
 February 1st, 2016, 04:34 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,978 Thanks: 2229 No function has a circle as its graph if Cartesian coordinates are being used. Can you clarify what you mean?
 February 1st, 2016, 05:10 AM #3 Newbie   Joined: Feb 2016 From: israel Posts: 17 Thanks: 3 The Mangler's transformation is used for boundary layer flow over an axisymmetric bodies of revolution and is used to simplify the Navier-Stokes equations. Since a sphere is a body of revolution, I want to use this method and the first step is to define how the radius of the body (a cross section of a sphere = circle) changes.. hope that is more clear. Last edited by skipjack; February 1st, 2016 at 05:45 AM.
 February 1st, 2016, 06:03 AM #4 Global Moderator   Joined: Dec 2006 Posts: 20,978 Thanks: 2229 If the cross-section is perpendicular to the axis of revolution and the sphere has radius r, the cross-section's radius could be √(r² - x²), the graph of which is a semicircle.
 February 2nd, 2016, 05:04 AM #5 Newbie   Joined: Feb 2016 From: israel Posts: 17 Thanks: 3 Thanks..

 Tags approximation, circle

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post yeoky Algebra 4 May 3rd, 2014 01:06 AM kyry Calculus 2 January 31st, 2014 09:47 PM Shamieh Calculus 1 October 9th, 2013 10:09 AM aaron-math Calculus 1 October 3rd, 2011 12:34 PM Wissam Number Theory 16 March 13th, 2011 04:41 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top