Analysis of sensitivity of thermal conductivity and variable viscosity on wall heat flux in flow of viscous fluid over a porous wedge

Abstract

The author aims to discuss sensitivity of pertained parameter for a two dimensional convective wedge flow of Newtonian fluid having varying viscosity and conductivity over a semipermeable wedge surface using Response Surface Methodology (RSM). The transformed boundary layer equations forms partial differential equations which in turn are becomes a set of non-linear ordinary differential equations by use of regular perturbation method. These systems are solved numerically by the use of Matlab built in routine bvp4c respectively. The obtained results found quite comparable with those already presented in literature by other methodologies. We have made a statistical experimental design based on parametric ranges of governing parameters of the problem. We have then calculated the local wall shear stress and local wall heat flux numbers as responses for all combination of parameters in experimental design. Then we use RSM by using Central Composite Design (CCD) in order to develop a correlation between responses either Cfx or Nux and governing parameters of the problem. After developing a best fitted response surfaces for each of the response variables we have performed a detailed sensitivity analysis for each of the response surface.