NUMERICAL ANALYSIS OF AN UNSTEADY MHD FREE CONVECTIVE FLUID FLOW WITH UNCERTAIN PARAMETERS
J. Borah, G. C. Hazarika and P. Dutta
An axisymmetric unsteady MHD free convective fluid flow is considered in fuzzy environment and consequently the initial and boundary conditions along with the parameters involved there are uncertain. Finite difference method (FDM) is used to solve the fuzzy forms of the non-dimensional governing equations along with the fuzzified dimensionless boundary conditions. The values of the uncertain parameters as well as the initial and the boundary conditions are considered as triangular fuzzy number (TFN) and $\alpha-$cut technique is applied to find the solutions by taking the value of $\alpha$ as $1$, for which solutions with membership grade 1 may be obtained. Computer programming code has been developed in Python (an object oriented computer programming language). Velocity, temperature and concentration profiles are observed under the effects of various involved uncertain parameters.
Keywords: Axisymmetric flow, fuzzy environment, FDM, TFN, α-cut technique.