if there is any formula with the repelling distance or the flux developed with respect to the length and diameter of the magnets
The magnetic field strength is stronger at the edges or circumference of your magnets. So while the dimensions might not be an issue the gradient generated by the magnets could be.
Exact. The physical dimensions of magnets has no relation to their magnetic strength.
You can find a lot of information on magnets in the CRC Handbook of Chemistry and Physics, section 12.
Here are equations for some familiar types of magnets:
The standard equation used for calculating the force between equal force bar magnets being approached parallel to each other and whose poles within each magnet are at some distance "dist" from each other and whose distance between the bars (d) must be larger than "dist" for the formula to remain valid:
Robert Resnick & David Halliday. Physics. John Wyley & Sons, New York, 1967, page 93
See first equation below.
For magnets whose poles coincide, like circular shaped loudspeaker magnets fro example, the second equation applies.
ref the paper referred below.
In both cases, they attract or repell as a function of the inverse cube of the distance.
http://www.ijerd.com/paper/vol7-issue5/H0705050066.pdf
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