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A Study of Current-Dependent Resistors in Nonlinear Circuits

Zorn, Nicholas Vaughn (2003) A Study of Current-Dependent Resistors in Nonlinear Circuits. Master's Thesis, University of Pittsburgh. (Unpublished)

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Nonlinear electrical circuits can be used to model fluid flow in pipe networks when the resistance of any element in the network is assumed to be dependent on the flow rate through that element. This relationship is often assumed in classical models of pressure drops at orifices and through valves. More recently, it has also been used to model blood flow through vessels, and may potentially have applications in nano-fluid systems. Motivated by these applications, in this thesis we investigate circuits where the resistors have linear and affine (linear plus offset) dependence on current. Rules for their reduction in series and parallel are derived for the general case as well as for special cases of their linear coefficients and offset terms. Other adapted circuit analysis and manipulation techniques are also discussed, including mesh current analysis and delta-wye transformation, and avenues for further investigation of this topic are illuminated. The methods developed in this thesis may have potential applications in simplifying the analysis of complex nonlinear flow networks in cardiovascular systems, especially those at the nano-scale.


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Item Type: University of Pittsburgh ETD
Status: Unpublished
CreatorsEmailPitt UsernameORCID
Zorn, Nicholas Vaughnnvzst@pitt.eduNVZST
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairSimaan, Marwan Asimaan@engr.pitt.eduSIMAAN
Committee MemberBoston, J Robertboston@engr.pitt.eduBBN
Committee MemberChaparro, Luis Fchaparro@engr.pitt.eduLFCH
Date: 8 May 2003
Date Type: Completion
Defense Date: 11 April 2003
Approval Date: 8 May 2003
Submission Date: 6 April 2003
Access Restriction: No restriction; Release the ETD for access worldwide immediately.
Institution: University of Pittsburgh
Schools and Programs: Swanson School of Engineering > Electrical Engineering
Degree: MSEE - Master of Science in Electrical Engineering
Thesis Type: Master's Thesis
Refereed: Yes
Uncontrolled Keywords: circuit theory modeling nanofluidics
Other ID:, etd-04062003-162311
Date Deposited: 10 Nov 2011 19:34
Last Modified: 15 Nov 2016 13:38


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