Studies on the Convective Heat Transfer from a Rotating Disk : 3rd Report, Heat and Mass Transfer in a Laminar Flow about a Rotating Disk with Suction or Injection in the Axial Stream

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This paper deals with a theoretical investigation on the effect of injection or suction from the disk surface on heat and mass transfer confficients. That is, the basic differential equations for the velocity and temperature (or concentration) fields are solved numerically by means of the electronic computer for a disk rotating in a uniform forced stream. Especially, referring to the applcation to the transpiration cooling, the following conclusion is considered to be of interest. The flow around a rotating disk has a character of three dimensional boundary layer. Therefore, the velocity relative to a rotating disk, i.e. u=λγ{λ=(α^2+ω^2)^<1/2>} may be used as the main stream velocity. Then, the mass transfer parameter H_w is expressed by H_w=(W_w/U) R_<sr>^<1/2>, R_<er>=Ur/V where ω is the rotating angular velocity, a the constant obtained for the three dimensional stagnation flow and λ the resultant angular velocity in the presence of an axial forced flow. This relation corresponds qualitatively to that for the flow in a boundary layer over a flat plate with injection which has been analized by Hartnett et al.