Roumeliotis raised two major issues in his discussion [1] regarding a prior publication of the authors [2]. One is Eq. (1) in Ref. [1], which alleges an error in Eq. (18) of Ref. [2]. The other is Eq. (2) in Ref. [1], which alleges a second error in Eq. (19) of Ref. [2]. Then, Roumeliotis presented alternative expressions based on the changes he suggested in Eqs. (1) and (2) in Ref. [1]. We hereby give our explanations to the issues raised in the discussion by Roumeliotis [1].
The alleged error in Eq. (18) of Ref. [2] is not justified. The continuity equation [3] of fluid media can be described by
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