Magnetohydrodynamics stagnation point flow of tangent hyperbolic fluid over a non-flat rotating disk in intuitionistic fuzzy environment
Priya Bartwal, Bhagawati Prasad Joshi, Himanshu Upreti, Alok Kumar Pandey, Dharmendra Tripathi
Abstract
An analysis is performed for the three-dimensional stagnation point flow of magnetized tangent hyperbolic fluid over a rotating disk of variable thickness. The viscosity and thermal conductivity of the fluid are presumed to depend on the temperature. Moreover, the impact of various physical parameters i.e., variable dynamical viscosity, variable thermal conductivity, velocity ratio, thermal stratification, Weissenberg number, Biot number and Eckert number are considered. Here we use the intuitionistic fuzzy set (IFS), which is an extension of fuzzy set, to study the flow and heat transfer analysis. IFS is a better tool for deal with uncertainty and complex modelling. The transformed ODEs are changed into intuitionistic fuzzy differential equations (IFDEs) and then solved by applying (α,β)-cut method, and the notion of triangular intuitionistic fuzzy number (TIFN). The outcomes attained from the solutions of IFDEs are depicted by figures, and results are reliable as calculated with the numerical technique “bvp4c”. The study reports that a rise of 40.68% in local Nusselt number (LNN) is seen when the velocity ratio parameter is raised from 0.1 to 0.4, whereas a rise of 5.26% is noted when the variable thermal conductivity parameter is increased from -0.5 to 0.5.