Effects of Fuzziness on an MHD Fluid Flow over an Exponentially Accelerated Inclined Plate

Abstract

In most of the time, the real life phenomena are uncertain. Due to the uncertain nature, consideration of some exact values or definite conditions may cause errors in the solution process. The fluid flow problems are also uncertain due to the presence of various imprecise parameters, variables and conditions. Here, an MHD fluid flow over an exponentially accelerated inclined plate is considered in fuzzy environment. Fuzzy set theory (FST) may help to overcome the uncertain nature of the fluid flow problems. The governing equations and the boundary conditions of the considered problem are fuzzified using the extension principle. The fuzzified governing equations along with the fuzzified boundary conditions are solved using the finite difference method (FDM) by developing suitable computer programming code in Python. The values of the different parameters and variables (initial values) are taken as triangular fuzzy number (TFN). −cut technique is used to find the results. The effects of the various involved parameters and on the velocity, temperature and concentration profile are presented graphically and discussed.