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May 10th, 2012, 02:34 PM   #1
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Simplifying an equation

Hi, I'm doing a fluid dynamics problem and I need some help simplifying an equation I've ended up with. It's a big ask, but if someone would take the time to tell me what the simplest form of this would be it would be much appreciated.



or if you prefer, the form



Thanks very much.

Jake
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May 10th, 2012, 03:12 PM   #2
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Re: Simplifying an equation

Three of the terms have h as a factor in both the numerator and denominator. You can start by cancelling them out. Also, (h - ?h) is a factor for all the terms and can be taken outside [ ].
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May 10th, 2012, 03:42 PM   #3
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Re: Simplifying an equation

Thank you.

Cancelling and bringing outside the bracket, I get:



close?
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May 10th, 2012, 08:35 PM   #4
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Re: Simplifying an equation

Quote:
Originally Posted by jakeward123
[Changed (for myself) your h to c and your lambda to a; b and d remain same.]

The 2nd term's numerator can be written +bc(ac - c), so (ac - c) cancels out, and term becomes simply bc. Ok?

Before doing any more, can you make sure that 1st term's denominator is correctly shown:
like, could it be 2(ac - c)? Asking due to (ac - c) and (c - ac) being all over the place!

Anyhow, as it is, I got down to:
c(1 - a^2)(2b + dk) / (2k) + c(ad - b - d) where k = 2a - 1

It checks out ok: tested it.
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May 11th, 2012, 12:37 PM   #5
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Re: Simplifying an equation

Quote:
Originally Posted by jakeward123
Thank you.

Cancelling and bringing outside the bracket, I get:



close?
No! You were very sloppy! For example - second term: you have b/(?h), it should be b/(?-1).
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