**ABSTRACT**

In this study, Network Simulation Method (NSM) is applied to solve a onedimensional solute transfer problem governed by Transient Storage (TS) model in a mountain stream including dead zones. In this computational method, for each node of the discretized domain, the terms of governing equation are substituted by the equivalent electrical devices which are connected to each other based on Kirchhoff's current law. Finally, the total electric circuit is solved using an appropriate electrical code to obtain the unknown value at the nodes. Because no analytical solutions for this model have been presented so far, to verify NSM, the problem is solved by Finite Volume Method (FVM), as well. According to the results, estimations made by NSM and FVM are in good agreement. Further, NSM is easier in implementation, especially in implementation of boundary conditions, and faster than FVM in computation. Therefore, in the case of one-dimensional mass transfer problems with a set of coupled equations, NSM is recommended to be used as an efficient alternative to numerical methods.

**KEYWORDS**

PAPER SUBMITTED: 2019-04-30

PAPER REVISED: 2019-07-27

PAPER ACCEPTED: 2019-07-31

PUBLISHED ONLINE: 2019-09-15

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