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Journal of Thermal Analysis and Calorimetry

, Volume 138, Issue 5, pp 3223–3223 | Cite as

Correction to: Entropy generation analysis on electroosmotic flow in non-Darcy porous medium via peristaltic pumping

  • S. NoreenEmail author
  • Qurat Ul Ain
Correction
  • 307 Downloads

Correction to: Journal of Thermal Analysis and Calorimetry (2019) 137:1991–2006  https://doi.org/10.1007/s10973-019-08111-0

The authors recently attempted [1] an electro-osmotic flow of viscous fluid across a non-Darcy porous medium. A typing error has been noted. Authors wrote
$$\begin{aligned} \rho \left( {\frac{{\partial \tilde{u}}}{{\partial \tilde{t}}} + \tilde{u}\frac{{\partial \tilde{u}}}{{\partial \tilde{x}}} + \tilde{v}\frac{{\partial \tilde{u}}}{{\partial \tilde{y}}}} \right) & = - \frac{{\partial \tilde{p}}}{{\partial \tilde{x}}} + \mu \left( {\frac{{\partial^{2} \tilde{u}}}{{\partial \tilde{x}^{2} }} + \frac{{\partial^{2} \tilde{u}}}{{\partial \tilde{y}^{2} }}} \right) - \sigma \tilde{B}_{0}^{2} \tilde{u} + \rho E_{0} - \frac{\mu }{{k^{*} }}\tilde{u} \\ & \quad - \frac{{\rho c_{{k^{ * } }} }}{{\sqrt {k^{ * } } }}\tilde{u}\sqrt {\tilde{u}^{2} + \tilde{v}^{2} } , \\ \end{aligned}$$
Authors were supposed to write term \(\rho {}_{e}E_{0}\) instead of \(\rho E_{0}\) on R.H.S of Eq. (11). The correct form is:
$$\begin{aligned} \rho \left( {\frac{{\partial \tilde{u}}}{{\partial \tilde{t}}} + \tilde{u}\frac{{\partial \tilde{u}}}{{\partial \tilde{x}}} + \tilde{v}\frac{{\partial \tilde{u}}}{{\partial \tilde{y}}}} \right) & = - \frac{{\partial \tilde{p}}}{{\partial \tilde{x}}} + \mu \left( {\frac{{\partial^{2} \tilde{u}}}{{\partial \tilde{x}^{2} }} + \frac{{\partial^{2} \tilde{u}}}{{\partial \tilde{y}^{2} }}} \right) - \sigma \tilde{B}_{0}^{2} \tilde{u} + \rho_{\text{e}} E_{0} - \frac{\mu }{{k^{*} }}\tilde{u} \\ & \quad - \frac{{\rho c_{{k^{ * } }} }}{{\sqrt {k^{ * } } }}\tilde{u}\sqrt {\tilde{u}^{2} + \tilde{v}^{2} } , \\ \end{aligned}$$
(11)

Notes

Acknowledgement

Authors would like to acknowledge Professor A. Pantokratoras for pointing this typo mistake.

Reference

  1. 1.
    Noreen S, Ul Ain Q. Entropy generation analysis on electroosmotic flow in non-Darcy porous medium via peristaltic pumping. J Therm Anal Calorim. 2019.  https://doi.org/10.1007/s10973-019-08111-0.CrossRefGoogle Scholar

Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2019

Authors and Affiliations

  1. 1.Department of MathematicsComsats University IslamabadIslamabadPakistan

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