Hi. Andersson et al., DIFFUSION OF A CHEMICALLY REACTIVE SPECIES FROM A STRETCHING SHEET, International journal of heat and mass transfer, 37(4), 1994, pp. 659-664
The transfer of chemically reactive species in the laminar flow over a
n elastic plane surface is considered. The viscous flow is driven sole
ly by the linearly stretched surface and the reactive species is emitt
ed from this sheet and undergoes an isothermal and homogeneous one-sta
ge reaction as it diffuses into the surrounding fluid. A similarity tr
ansformation is devised, which reduces the concentration conservation
equation to an ordinary differential equation. An exact analytical sol
ution due to Crane [Z. Angew. Math. Phys. 21, 645-647 (1970)] is adopt
ed for the velocity, whereas the concentration field is obtained numer
ically. The computations showed that the principal effect of a destruc
tive chemical reaction is to reduce the thickness of the concentration
boundary layer and to increase the mass transfer rate from the stretc
hing sheet to the surrounding fluid. This effect appeared to be more p
ronounced for a first-order reaction than for second- and third-order
reactions. A nonuniqueness of the concentration distributions for gene
rative first-order reactions was revealed by the computations.