Corrigendum to “Parallel Performance Analysis and Numerical Simulation of Magnetic Nanoparticles Transportation and Blood Flow Pattern in Capillaries”

Abstract

The authors regret the following corrigendum to the above article <xref ref-type="bibr" rid="ref1" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">[1]</xref> , fixing some typos that could mislead the reader. • The boundary condition at r=0 was missing, The correct form of boundary conditions are: <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$u=v=0$ </tex-math></inline-formula> at <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$r=0$ </tex-math></inline-formula> and <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$r=1$ </tex-math></inline-formula> .• The parameter y was missing in the basic equations (5) and (6). The correct equation is: <disp-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">\begin{equation*}m \frac{\partial v}{\partial t}=\mu_{0}V_{M}(M \nabla H)_{y}+6 \pi \mu R_{M}(u-v). \end{equation*} </tex-math></disp-formula> • The pressure gradient equation (7) was wrong. The correct form of equation (7) is: <disp-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">\begin{equation*}- \frac{\partial p}{\partial z}=a_{0}+a_{1}cos\omega t.\end{equation*} </tex-math></disp-formula>