Hwk_Soln_2-1

Hwk_Soln_2-1 - • 332: 305 Numerical Modeling in...

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Unformatted text preview: • 332: 305 Numerical Modeling in Biomedical Systems Fall 2010 Dr. Shoane Homework Solutions #2 1) Prob. 2.2.3 1 1 dQ c F cF dt =- 1 1 1 1 1 1 1 1 1 1 / / 1 a) , , (0) , where For ( ) , 0 the step response is given by ( ) (0) (1 ) 1 100 lb 62. t t dQ Q c F cF c Q dt V dQ Q F c F dt V V dQ V Q c F F dt F V dQ Q Vc F F F F dt c t c t Q t Q e Kc e V F τ τ τ-- =- = = + = + = + = = = = ≥ = +- × = = 3 3 3 3 1 3 3 3 /1.603 0.624 ft 4 lb 1.603 min ft 1 min 1 ft 100 lb 1.603 ft 62.4 lb lb 0.25 ft ( ) (1.603 ft )(0.25 lb/ft )(1 ) 0.401(1 ), b) At steady-state, ( ) 0.401 lb t t K V c Q t e e t Q-- = = = × = = =- =- ≥ ∞ = 1 1 1 , c F , c F c , Q 2) Prob. 2.3.3 (Parts a and b only) 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 2 2 1 2 2 1 1 1 1 1 1 2 2 2 2 1 1 a) , , Laplace transforming the first order differential equations, ( 1) ( ) ( ) ( 1) ( ) ( ) dH H A F F F dt R dH H A F F F dt R dH H A F dt R dH H H A dt R R A R s H s R F s R A R s H s H s R + = = + = = ⇒ + = + = + = + = 1 1 2 2 2 2 1 1 1 2 2 2 1 1 2 2 1 1 2 2 1 1 2 2 2 2 1 2 2 2...
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This note was uploaded on 02/12/2011 for the course 125 305 taught by Professor Madabhushi during the Fall '08 term at Rutgers.

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Hwk_Soln_2-1 - • 332: 305 Numerical Modeling in...

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