The magnetohydrodynamics tangent hyperbolic nanofluid (THNF) flow with the mutual impact of melting heat transfer and wedge angle over a permeable wedge is investigated numerically in the present study. Electronic devices generate excessive heat during operations, so THNF is often employed to regulate them. THNF has the ability to neutralize heat with greater efficacy, thereby reducing the probability of overheating. The influence of thermal radiation, Soret and Dufour, and heat source/sink is also observed on the fluid flow. The modeled equations are simplified to the lowest order through the similarity conversion. The obtained set of dimensionless equations is further calculated numerically by employing the parametric continuation method. The computational findings of the present study are compared to the published results for accuracy purposes. It has been detected that the results are precise and reputable. Moreover, from the graphical results, it has been perceived that the effect of permeability factor ( K _p ) reduces the fluid flow. The rising effect of wedge angle factor enhances the energy dissemination rate and shearing stress; however the augmentation of Weissenberg number drops skin friction and energy transference rate.

The Shewart S -control chart is commonly used as one of the statistical tools for monitoring the process variability. The existing design of S -control is based on the assumption that inspected quality of the observed process is, an exact and clearly specified quantitative quantity. If however, measured data involve some vague and imprecise observations, the conventional approach of the S -control, cannot be practiced. Designing of a generalized neutrosophic S -control chart which could support the indeterminate values in the processing data is originally developed in this article. The associated properties of proposed design under neutrosophic environment have been established in this study. The proposed chart represents a general design of the existence structure of the S-chart. Using neutrosophic average run length ( ARL _n ) as a performance measure, a comparative study of the proposed chart with the conventional approach of S -control under vague parameter values is evaluated. Findings both from analytical and simulation studies indicate that proposed design of S -control leads to efficient and more flexible approach over the traditional S -control. A real data example has been provided for demonstrating the implementation procedure of the proposed design.