TY - JOUR
TI - A study on the mixed convection boundary layer flow and heat transfer over a vertical slender cylinder
AU - Ellahi Rahmat
AU - Riaz Arshad
AU - Abbasbandy Saeid
AU - Hayat Tasawar
AU - Vafai Kambiz
JN - Thermal Science
PY - 2014
VL - 18
IS - 4
SP - 1247
EP - 1258
PT - Article
AB - In this investigation, the series solutions of mixed convection boundary  layer flow over a vertical permeable cylinder are constructed. Two types of  series as well numerical solutions are presented by choosing exponential and  rational bases. The resulting differential system are solved by employing  homotopy analysis method (HAM) and Pade technique which have been proven to  be successful in tackling nonlinear problems. We offer various verifications of  the solutions by comparing to existing, documented results and also  mathematically, through reduction of sundry parameters. The convergence of  the series solutions have been discussed explicitly. Comparison with existing  results reveal that the series solutions are not only valid for large (aiding  flow) but also for small values (opposing flow) of λ and the dual solutions do  not obtain in both cases.