TY - JOUR
TI - Multiple series solutions of viscous flows over a stretching/shrinking and porous sheet
AU - Ali Azhar
AU - Khan Aziz
AU - Alam Aftab
AU - Khan Nawaz Dil
AU - Abdeljawad Kamran
AU - Abdeljawad Thabet
JN - Thermal Science
PY - 2023
VL - 27
IS - 101
SP - 185
EP - 194
PT - Article
AB - The viscous fluid-flow over a stretching (shrinking) and porous sheets of  non-uniform thickness is investigated in this paper. The modeled problem is  presented by utilizing the stretching/shrinking and porous velocities and  variable thickness of the sheet. Consequently, the new problem reproduces  the different available forms of flow motion maintained over a  stretching/shrinking and porous sheet of variable thickness in one go. As a  result, the governing equations are embedded in several parameters which  can be transformed into classical cases of stretched/shrunk flows over  porous sheets. A set of general, unusual and new variables is formed in  order to simplify the governing PDE and boundary conditions. Three different  series solutions of the final ODE are presented. A single analytical  solution is not sufficient to predict the exact effects of all parameters on  the flow field properties. The problem is solved by a power and two  asymptotic series methods. The results are verified by providing a powerful  numerical solution the problem. A complete set of solutions is provided and  comparison of the solutions with classical models is established for  appropriate values of the parameters which is shown in different graphs and  tables.