Cr. Lin et Ck. Chen, EXACT SOLUTION OF HEAT-TRANSFER FROM A STRETCHING SURFACE WITH VARIABLE HEAT-FLUX, Heat and mass transfer, 33(5-6), 1998, pp. 477-480
An exact expression of the temperature distribution is constructed for
the heat transfer from a stretching surface with prescribed power law
heat flux. The stretching velocity is inversely proportional to the o
ne third power of the distance measured along the surface from a thin
slit. The final result is expressed in terms of hypergeometric functio
ns. Although the exact solution is accomplished, some physically unrea
listic phenomena are encounters for specific conditions. The temperatu
re parameter which prescribe the surface heat flux, strongly affects t
hose situations. Two types of temperature distribution are discussed:
dimensionless temperatures with and without scaling to the dimensionle
ss surface temperature. The expression of the temperature distribution
without scaling is lucid to understand the heat transfer characterist
ics.