Response surface methodology and sensitivity analysis of RP fluid model over curved stretching sheet: Non-similar investigation

The transport performance for a convective non-Newtonian fluid model with heat transfer can be measured through skin friction coefficient, and Nusselt number. The aim of this study is to examine the sensitivity analysis of heat transfer and drag forces effects on magnetized Reiner-Philippoff fluid model over curved surface. The equations that regulate the flow issue are converted into a set of nonlinear dimensionless partial differential equations via a non-similarity transformation. These equations are treated as ordinary differential equations by employing the local non-similarity method up to second level truncation and simulated using MATLAB routine bvp4c. Prior to doing the sensitivity analysis of skin friction coefficient, and Nusselt number, we use response surface methods to construct empirical connections for these parameters. The empirical relations' quality of fit is determined using the analysis of variance table's coefficient of determination. The results show that coefficient of determination for skin friction coefficient, and Nusselt number are 100 %, 99.99 % and 97.73 % respectively. This means that we have obtained best fitted empirical relations. The results of sensitivity analysis disclosed that skin friction coefficient is most sensitive to Reiner-Philippoff fluid parameter.