Correction to: Outcomes of double stratification in Darcy–Forchheimer MHD flow of viscoelastic nanofluid

  • T. Hayat
  • F. Shah
  • Zakir HussainEmail author
  • A. Alsaedi

1 Correction to: Journal of the Brazilian Society of Mechanical Sciences and Engineering (2018) 40:145

In the published version of original article, the energy equation (3) is incorrect. The correct form of Eq. (3) is as follows:

$$ \begin{aligned} u\frac{\partial T}{\partial x} + v\frac{\partial T}{\partial y}& = \tau \left( {D_{B} \frac{\partial C}{\partial y}\frac{\partial T}{\partial y} + \frac{{D_{T} }}{{T_{\infty } }}\left( {\frac{\partial T}{\partial y}} \right)^{2} } \right)\\&\quad + \frac{{Q(x)(T - T_{\infty } )}}{{\rho c_{p} }} + \frac{\partial }{\partial y}\left( {\alpha^{*} + \frac{{16\sigma^{*} T_{\infty }^{3} }}{{3kk^{*} }}} \right)\frac{\partial T}{\partial y} \end{aligned} $$
Note that, this correction is only for the equation and does not affect the results presented in the original paper. The corresponding parameter after equation 20 is corrected by replacing “k” by “k*”
$${R_d}= \frac{{16\sigma^{*}} T_{\infty }^{3}} {3k k^{*} }$$


Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2019

Authors and Affiliations

  1. 1.Department of MathematicsQuaid-I-Azam UniversityIslamabadPakistan
  2. 2.Nonlinear Analysis and Applied Mathematics (NAAM), Research Group, Department of Mathematics, Faculty of ScienceKing Abdulaziz UniversityJeddahSaudi Arabia

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