Author Correction: A comprehensive study to the assessment of Arrhenius activation energy and binary chemical reaction in swirling flow

Correction to: Scientific Reports https://doi.org/10.1038/s41598-020-64712-y, published online 12 May 2020

In the original version of this Article, Meshal Shutaywi was incorrectly affiliated with ‘Department of Mathematics College of Science & Arts, Rabigh King Abdul-Aziz University, Rabigh, 21911, Saudi Arabia’. The correct affiliation is listed below.

Department of Mathematics, College of Science & Arts, King Abdulaziz University, P. O. Box 344, Rabigh, 21911, Saudi Arabia

Additionally, the original version of this Article contained several typographical errors.

In the Methods section, under the subheading ‘Computational methodology’ in Equation 30,

$$\user2{L}_{f} ~ = f{^{\prime\prime\prime\prime}},\;\user2{L}_{g} = g{^{\prime\prime}}, \user2{L}_{\theta } = \theta {^{\prime\prime}} , \user2{L}_{\varphi } ~ = \phi{^{\prime\prime}},\user2{L}_{h} ~ =h{^{\prime\prime}}$$

now reads:

$$\user2{L}_{f} ~ = f{^{\prime\prime\prime\prime}},\;\user2{L}_{g} = g{^{\prime\prime}}, \user2{L}_{\theta } = \theta {^{\prime\prime}} , \user2{L}_{\phi } ~ = \phi{^{\prime\prime}},\user2{L}_{h} ~ =h{^{\prime\prime}}$$

In the Outcomes section, under the subheading ‘Axial velocity profile’,

“Figure 2 shows that velocity distribution f(ζ) has a diminishing behavior for larger values of Reynolds number Re. Higher quantities of Re indicate the reduced flow rate.”

now reads:

“Figure 2 shows that velocity distribution f(ζ) has an increasing behavior for larger values of Reynolds number Re. Higher quantities of Re indicate the increment in flow rate.”

In the Outcome section, under the subheading ‘Nanoparticles concentration’,

“The stretching parameter k₁ enhances the concentration ϕ(ζ) by data 0.70, 3.70, 6.70, and 9.70 as demonstrated in Figure 31.”

now reads:

“The stretching parameter k₁ reduces the concentration ϕ(ζ) by data 0.70, 3.70, 6.70, and 9.70 as demonstrated in Figure 31.”

In the Outcome section, under the subheading ‘Motile microorganisms concentration’,

“So in the presence of gyrotactic microorganisms, the parameter Nb has the leading role in developing h(ζ).”

now reads:

“So in the presence of gyrotactic microorganisms, the parameter Nb has the leading role in decreasing h(ζ).”

Lastly, the original version of this Article contained an error in Figure 42 where the x-axis was omitted.

These errors have now been corrected in the PDF and HTML versions of the Article.