There are three mistakes in typing the formula which are as follows:

  • 1
    On the right hand of Eq. 4, the radiative heat flux (·qr) must be negative, but in the paper, it is positive. The correct form of Eq. 4 is as follows: 
    x(ρucpT)+y(ρvcpT)=κ(2Tx2+2Ty2)-·qr
    4
  • 2
    In Eq. 15, Spi must be multiply by β (Beta · Volume). Equation 15 is a well known equation in radiative heat transfer and can be found in Ref. [13]. The correct form of this equation is as follows: 
    Ip...

Reference

Reference
1.
Modest
,
M. F.
, 2003,
Radiative Heat Transfer
,
Academic
,
San Diego, CA
, Chap. 16.
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