Significance of Melting Heat Transfer and Brownian Motion on Flow of Powell-Eyring Fluid Conveying Nano-Sized Particles with Improved Energy Systems

The present study explores the characteristics of 2D MHD melting with reference to mass and heat transportation upon stagnation point Powell-Eyring nanofluid flow on an extensible surface. Melting is an important phenomenon that is involved in many procedures such as permafrost melting, solidification of slag, defrosting frozen ground etc., all of which are examples of soil freezing and melting that involve heat trafficking through a coil in a grounded pump. A mathematical model is developed for the boundary layer flow. The differential equations are solved through a numerical algorithm which makes use of the boundary value problem solver bvp4c, applying MATLAB software. The numerical variations of embedded parameters on velocity lineation, temperature figuration, and concentration delineation are represented graphically, as are the width of the boundary layer value and the delineation rate for the increasing velocity parameter. The velocity function shows a decremental response for M while the opposite behavior is seen against the concentration field.

Automated summary

The present study investigates the characteristics of 2D MHD melting and its effect on mass and heat transportation in stagnation point Powell-Eyring nanofluid flow on an extensible surface. Melting is a vital phenomenon involved in various procedures, including permafrost melting, solidification of slag, and defrosting frozen ground. A mathematical model is developed to describe the boundary layer flow, and numerical algorithms implemented in MATLAB are used to solve the corresponding differential equations. The graphical representations of the numerical variations of embedded parameters provide insights into velocity, temperature, and concentration profiles, as well as the width of the boundary layer and its delineation rate with increasing velocity parameter. The velocity function exhibits a decremental response to M, while the concentration field shows the opposite behavior.