RT Journal Article
ID 0261d39f202bdc45
A1 Ganji (D.D. Ganji), Davood
A1 Asgharian, A.
A1 Zadeh, N. Sedaghati
T1 Approximate Solution of Mixed-Convection Boundary-Layer Flow Adjacent to a Vertical Surface Embedded in a Stable Stratified Medium
JF Heat Transfer Research
JO HTR
YR 2009
FD 2009-11-13
VO 40
IS 8
SP 729
OP 745
K1 homotopy analysis method (HAM); boundary layer flows; numerical solution; stratified medium; heat transfer
AB In this paper, the analytic solution of the steady mixed-convection boundary-layer flow through a stable stratified medium adjacent to a vertical surface is obtained using the newly developed analytic method, namely the homotopy analysis method (HAM). The velocity outside the boundary layer and the surface temperature are assumed to vary linearly from the leading edge of the surface. It is found that dual solutions exist, and the thermal stratification delays the boundary layer separation.

The analytic results are compared with the numerical solution (NS) and the comparison demonstrates that there is good agreement between the numerical solution and the HAM solution. Moreover, the convergence of the obtained HAM solution is discussed explicitly. The obtained analytic solution is valid for all values of the dimension-less parameters λ and Pr as is shown below.
PB Begell House
LK http://dl.begellhouse.com/journals/46784ef93dddff27,07ec599e27b8a631,0261d39f202bdc45.html