Fuzzy Parametric Behavior for the Flow of MHD Williamson Nanofluid with Melting Heat Transfer Boundary Condition

The current investigation is based upon the fuzzy interface model, utilized for the parametric behavior embedding in the flow characteristics of the conducting Williamson nanofluid past a linearly horizontal expanding surface within a permeable medium. However, the inclusion of the Brownian motion parameter along with thermophoresis enriches the profiles for the enhancement in their properties. The non-dimensional variables along with suitable similarity transformations are used for the transformation of the governing equations. An “ interval type-2 trapezoidal fuzzy set ” (IT2TrFS) membership function is considered for the magnetic parameter affecting the governing equations. Henceforth, the numerical solution i.e. Runge–Kutta fourth-order associated with shooting is used for the transformed equations. The defuzzification of the fuzzified magnetic parameter is obtained by using α-cut of the Mean value approximation of IT2TrFS. The simulated results for the several characterizing parameters are presented graphically as well as in tabular form to illustrate their physical behavior.