Erratum on “Mixed convection flow over a vertical power-law stretching sheet

Citation

(2012), "Erratum on “Mixed convection flow over a vertical power-law stretching sheet", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 22 No. 4. https://doi.org/10.1108/hff.2012.13422daa.001

Erratum on “Mixed convection flow over a vertical power-law stretching sheet"

Article Type: Erratum on “Mixed convection flow over a vertical power-law stretching sheet" From: International Journal of Numerical Methods for Heat & Fluid Flow, Volume 22, Issue 4

[International Journal of Numerical Methods for Heat & Fluid Flow, (2010) Vol. 20 No. 4, pp. 445-58]

In the governing equation (2) of Patil et al. (2010), the pressure gradient term is dropped by mistake and the equations become incorrect. In this Erratum, we have presented the corrected equation and expressions with results including the pressure gradient term.

The correct equation (2) of Patil et al. (2010) can be written as follows:

Upon using transformations (5) of Patil et al. (2010), the non-dimensional equation (equation (6) of Patil et al. (2010)) corresponding to equation (1) appears with one extra term mε² as given below:

The coefficient Aⁱ₅ in equation (14) of Patil et al. (2010) is changed to:

Results and discussion

Numerical results are computed again with the above modified equation (2). Figures 3, 5, 6, 7, 8 and 9 have shown some deviations within 7% from the earlier results due to the presence of the term m ε² whereas the other graphs remain the same as negligible variations in results occur which are not distinguishable in the remaining figures. There are no qualitative changes observed in the results but only quantitative changes within 7% occur. It may be noted that the corrected additional term in the non-dimensional equation (2) is a constant term, namely, m ε². The changed figures are reproduced and shown below.

Figure 3 Effects of λ and Pr on velocity profile for ε=0.5, ξ=0.5 and m=1

Figure 5 Effects of λ and Pr on temperature profile for ε=0.5, ξ=0.5 and m=1

Figure 6 Effects of ε and m on velocity profile for λ=1, ξ=0.5 and Pr=0.7

Figure 7 Effects of ε and m on skin friction coefficient for λ=2 and Pr=0.7

Figure 8 Effects of λ and m on skin friction coefficient for ε=0.4 and Pr=7.0

Figure 9 Effects of λ, Pr and m on heat transfer rate ε=0.4

Conclusions

The conclusions drawn from the results remain the same.

P.M. PatilDepartment of Mathematics, JSS’s Banashankari Arts, Commerce and Shanti Kumar Gubbi Science College, Vidyagiri, Dharwad, IndiaS. RoyDepartment of Mathematics, IIT Madras, Chennai, IndiaAli J. ChamkhaManufacturing Engineering Department, The Public Authority for Applied Education and Training, Shuweikh, Kuwait

Acknowledgements

The authors are thankful to the colleague who pointed out the mistake in the governing equations. Also, the authors deeply regret making the error.

Corresponding author

Ali. J. Chamkha can be contacted at: achamkha@yahoo.com