Erratum: “Magnetohydrodynamic Flow Past a Vertical Plate With Radiative Heat Transfer” [Journal of Heat Transfer, 2007, 129(12), pp. 1708–1713]

Shateyi, S.; Sibanda, P.; Motsa, S. S.

doi:10.1115/1.2928056

In this paper there were a number of errors that we have corrected below.

Problem Formulation

There was a typing error in the last terms of the momentum equations 1b,1c that ended up as an oversight. The correct form of the governing equations is

1

\frac{\partial u}{\partial x} + \frac{\partial v}{\partial y} = 0

1a

u \frac{\partial u}{\partial x} + v \frac{\partial u}{\partial y} = ν \frac{\partial^{2} u}{\partial y^{2}} + g β (T - T_{\infty}) - \frac{σ B_{0}^{2}}{ρ (1 + m^{2})} (u + m w)

1b

u \frac{\partial w}{\partial x} + v \frac{\partial w}{\partial y} = ν \frac{\partial^{2} w}{\partial y^{2}} - \frac{σ B_{0}^{2}}{ρ (1 + m^{2})} (w - m u)

1c

u \frac{\partial T}{\partial x} + v \frac{\partial T}{\partial y} = α \frac{\partial^{2} T}{\partial y^{2}} - \frac{1}{ρ c_{p}} \frac{\partial q_{r}}{\partial y}

1d

Consequently, the correct form of Eqs. ,,, is

5

\frac{\partial F}{\partial ξ} + \frac{\partial G}{\partial η} = 0

5a

F \frac{\partial F}{\partial ξ} + G \frac{\partial F}{\partial η} = θ + \frac{\partial^{2} F}{\partial η^{2}} - \frac{M^{2}}{1 + m^{2}} (F + m H)

5b

F \frac{\partial H}{\partial ξ} + G \frac{\partial H}{\partial η} = \frac{\partial^{2} H}{\partial η^{2}} - \frac{M^{2}}{1 + m^{2}} (H - m F)

5c

F \frac{\partial θ}{\partial ξ} + G \frac{\partial θ}{\partial η} = \frac{1}{\Pr} (1 + N) \frac{\partial^{2} θ}{\partial η^{2}}

5d

The numerical calculations were made with the correct form of the equations and the conclusions drawn from the results therefore remain sound.

Results and Discussion

The incorrect temperature profiles in Figs. 2a,4,5 that were a result of small calculation domain used have been recomputed and the correct profiles are given below. All the figures were computed for $ξ = 5$ ⁠.

Figure 2

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The variation of temperature with $(a)$ increasing radiation and $(b)$ increasing magnetic field strength when $m = 1$ and $\Pr = 0.71$

Figure 4

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The temperature distribution $(a)$ without radiation effects and $(b)$ with radiation for $M = 1$ and $\Pr = 0.71$

Figure 5

The temperature distribution for (a)m<1 and (b)m≥1 for M=1, Pr=0.71 and N=1

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The temperature distribution for $(a) m < 1$ and $(b)$ $m \geq 1$ for $M = 1$ ⁠, $\Pr = 0.71$ and $N = 1$

In the original paper there was a mix-up in the figures and captions for Figs. 6,7,8. The correct figures and captions are as follows:

Figure 6

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The variation of temperature with Hall parameter $(a)$ $M = 1$ ⁠, $(b)$ $M = 2$ when $\Pr = 0.71$ and $N = 1$

Figure 7

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The variation of $(a)$ tangential velocity and $(b)$ lateral velocity distribution with increasing radiation. The tangential velocity decreases with radiation while the tangential velocity initially increases before reducing sharply to zero.

Figure 8

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The variation of the temperature distribution with increasing Prandtl numbers $(a)$ without radiation and $(b)$ with radiation

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by American Society of Mechanical Engineers

Erratum: “Magnetohydrodynamic Flow Past a Vertical Plate With Radiative Heat Transfer” [Journal of Heat Transfer, 2007, 129(12), pp. 1708–1713]

Problem Formulation

Results and Discussion

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Erratum: “Magnetohydrodynamic Flow Past a Vertical Plate With Radiative Heat Transfer” [Journal of Heat Transfer, 2007, 129(12), pp. 1708–1713]

Problem Formulation

Results and Discussion

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Cited By

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