Spinning dynamics of stress-dependent viscosity of generalized Cross-nonlinear materials affected by gravitationally swirling disk

OpenAlex · İngilizce

Abstract Practical fields, including materials processing, space technology, ocean technology, and many mechanical machineries, play a major part in advancing the modern world. Lack of energy production and energy reduction have been noticed as one of the main challenges in recent decades. To properly address this, one should need to modify the thermal characteristics of traditional materials with different surface dynamics involvement. The present investigation examines the heat transfer performance and pumping power of destructive flow patterns of rheological materials caused by viscous stress is significant due to physical aspects. One key objective is to demonstrate the conversion of kinetic energy into internal energy, highlighting its applications across various fields of engineering, science, and technology. The current study is about to address the impacts of viscous stress, stagnation point, gravity, slip flow, and thermal slip in the typical swirling motion of Cross liquid. The main problem that arises from these physical aspects is presented in the form of dimensionless mathematical equations. The flow problem configured in this study is based on the higher viscous forces and lower inertial forces. The leading dimensionless equations are formulated by using the Lie symmetry analysis. A well-known modified collocation formula is used to examine the higher radial flow speed of the material with the parallel variation in the Richardson number, and the other components decline with the same variation. The temperature of the dissipated materials is enhanced by considering the higher values of the Eckert number. Time relaxation caused a reduction in the resistance forces in the r -direction and is noticed with the opposite trend in the case of θ -direction which is more prominent. An excellent agreement is observed by introducing a comparison with the existing works.